diff --git "a/data/dm_maths/full_data_1/1871_11255.jsonl" "b/data/dm_maths/full_data_1/1871_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1871_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the millions digit of 263362938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 49*c + 237. Let z be y(18). Let g(p) be the first derivative of -1\/9*p**z - 4\/3*p + 12 - 2\/3*p**2. Find l, given that g(l) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**3\/6 - 2*v**2 + 8*v. Determine y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 - -211. Solve h + k = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30548403.\nAnswer: 3, 41, 82787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 2, p: 2, h: 2, e: 1, d: 1}. Give prob of picking 1 e, 2 r, and 1 h.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -20 + 10 - 12) + -4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -69*w - 380 - 109 - 157*w + 62*w. What is o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 201804*m**3 - 4*m + 30777*m**3.\nAnswer: 232581*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30680, -30688, -30700, -30716?\nAnswer: -30736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*q + 4*c - 7, 5*c - 15 = 5*q. Suppose q = -6*b + 11*b - 10. Suppose -12 + 6 = -b*a. Solve 6 + 6 = a*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5*y - 720*v**5 - 2*v**2 + 30*v*y - 2*v - 2*y wrt v.\nAnswer: 180*v**2*y - 43200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103789 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 - 25*u + 29. Let w be q(7). Let t = w - 0. Which is smaller: 7\/55 or t?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 13*t - 7*t)*(-t + t - 4*t) to d*t + r + s*t**2 and give s.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**2 + 5*r + 5. Let q(j) = -8*j**2 + 6*j + 6. Suppose 3 = c - 3. Suppose -36 + c = 5*o. Let a(v) = o*m(v) + 5*q(v). What is a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*f + 7*f**2 + 6*f**3 - 4*f**3 - 7*f**2.\nAnswer: 2*f**3 - 132*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47495 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40\/11 + -542\/143. What is the second smallest value in -5, z, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/125 and 187753\/28650 - 3\/(9\/21)?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 12*r - 9*r + 2*r to the form w + d*r and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 218*s**2 - 88?\nAnswer: 436*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2, -19, -18 in increasing order.\nAnswer: -19, -18, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8667 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(28\/(-12) + 2). Suppose -3*c = -2*i - 16, -4*c + g*c = -4. Sort 2\/23, -1, i, -5\/2 in descending order.\nAnswer: 2\/23, -1, i, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 295 and -1962099.\nAnswer: -1961804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20496\/5124*(-2 + (0 - (-27)\/(-12))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k + 18. Let w(o) = 138*o - 183. Let l(x) = -61*b(x) - 6*w(x). Let d(z) = 3*z - 2 + 2. Determine d(l(a)).\nAnswer: 78*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from wkwwwkkkwwwkwwwwwwww.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**3 - 2*y**2 + 93*y + 13117 with respect to y.\nAnswer: 6*y**2 - 4*y + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 0.1, -0.04, -0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 y, and 2 e when four letters picked without replacement from {e: 3, y: 1, t: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -853826 - -0.098.\nAnswer: -853825.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) -74 (b) 0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**5 - 794170*b**4 + 1588280*b**3 + 6353280*b**2 = 0.\nAnswer: -2, 0, 4, 158832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 8. Let l(i) = 5*i + 15. Let z(k) = -3*l(k) - 5*s(k). Let m(j) = 9*j + 9. Suppose -2*y - y + 12 = 0. Determine y*m(o) + 7*z(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 4*g - 5*g)*(-2*g**2 - 92*g + 94*g + 2 + 0*g**2) as l*g**3 + u*g + a*g**2 + z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -60562104 + -3371?\nAnswer: -60565475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((52\/12 - 4)*-5)\/((-3)\/(-9)). Let a(v) = -10*v - 28. What is a(b)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*2 - sqrt(76) - (2*sqrt(19) + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728229 = -119*m + 512*m. What is the greatest common divisor of m and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*sqrt(2112) - sqrt(2112))*5)\/((sqrt(99)*-3 + sqrt(99))*-2).\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3413070581.\nAnswer: 29, 31, 47, 80777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1101185 and 8809483\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -159 - 106. Suppose v*d = -352618 + 1219751. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/600 and -121\/66800?\nAnswer: 200400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**4 - 19*j**3 + j + j**2 - 5*j**4 + 20*j**3 - 2*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4648 or 4652?\nAnswer: 4652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12.95 = -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.06, -0.6, -0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19854*i**3*k**3 + 26604906*i**3*k**2 + i*k**3 + 30*k**3 wrt k?\nAnswer: -119124*i**3 + 6*i + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 734610 and 6.77189.\nAnswer: 734616.77189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, b: 4, c: 3, i: 1}. Give prob of sequence ci.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 1. Let p(a) = 3*a**2 - 2*a - 1. Let z be 0 - 1 - (1 + -3 - 1). Let t(f) = -366 + 364 - f - z*f + 4*f**2. Give r*p(g) - 2*t(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let i = -146 + 434\/3. Which is the nearest to 1? (a) 1 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 20\/6)*3\/(-2). What is the third derivative of -54*l**2 + 18*l**6 + 11*l**n - 11*l**6 + 18*l**6 wrt l?\nAnswer: 3000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -88*s**2 + 36*s. Let k(u) = 88*u**2 - 37*u. Let j(p) = 3*k(p) + 2*v(p). What is the second derivative of j(f) wrt f?\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-6)\/(-8)*72\/27. Suppose -62354 + 9554 = -r*d. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/210)\/((-82)\/(-164))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 = 2*h + h - 5*w, 0 = -w + 2. Calculate the remainder when h is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 7*y - 4. Let r be j(7). Let c be 10\/3*(r\/5 + 2). Suppose -138 = -c*v + 2. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*u + 62, -6*y - 124 = -4*u - 4*y. Suppose 4*o - 13 = u. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1540 divided by 110.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4 + (-10)\/(-40)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:19 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264*j**3*u**2 + 37*j**3*u - 2*j**3 + 2*j**2*u - 2*j*u**3 + 13*j*u wrt u?\nAnswer: -528*j**3 - 12*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 25*d**2. Let n(a) = 2*a**2. Let h(y) = -70*n(y) + 6*t(y). Let k(u) = -10387*u**2 - 10412*u**2 + 20795*u**2. What is h(k(m))?\nAnswer: 160*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 14. Let a be l(7). Suppose a = 4*r - 45 - 107. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d)**(-39)\/(d\/(((d*d\/(d**(-2)*d))\/d*d)\/d*d*d)*d*(d\/(d\/(d\/d**8)))\/d) assuming d is positive.\nAnswer: d**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/5)*y*y**(-3\/5)*(y**(-1\/2))**(-2\/27))\/((y*y**8\/y)\/(y*y\/y**(-2\/31)*y)*y\/y**(-1\/2)*y**(-5)) assuming y is positive.\nAnswer: y**(6709\/8370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -690 + 690. Factor -2\/9*f**2 + 0*f + r - 2\/9*f**4 - 4\/9*f**3.\nAnswer: -2*f**2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ial when three letters picked without replacement from atiliataatvatfv?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20096 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in centuries?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 34707\nAnswer: -69414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -27117.972 to the nearest 100.\nAnswer: -27100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 528789691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70, 124, 184, 250, 322?\n\"Answer: 3*k**2 + 45*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -2, 1\/5, 1, -2\/357, 1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136650581 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - -5.99. Let l = u + -4. Suppose 5*k - 2*b - 1 - 27 = 0, 3*b = -4*k + 4. What is the nearest to -1 in l, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 350741.\nAnswer: -10\/350741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*j**3*y**2 - 2*j*q*y**3 - 5*j*q - 10*q - 8*y**3 wrt j.\nAnswer: -39*j**2*y**2 - 2*q*y**3 - 5*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - g + (-1 + 5 - 2)*(-g + 0 + 0) + (g + 0*g + g)*(-2 + 1 - 2 + (-1 + 0 + 3)*(2 - 3 - 1) - 2 + 0 + 3).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -313\/2 + 1329\/8. What is the common denominator of 79\/76 and x?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25386 + -51.64114. Let u = 52 + r. What is u rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 16*l**2 - 18*l + 19. Let c be a(17). Suppose -4*o + c = -6. Suppose -p = -o - 54. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -108, -256, -464?\n\"Answer: -30*p**2 + 2*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 1114?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*q - 324*q - 640 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 71?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:24 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*z + 21, -q + 63 = -4*q - z. Let i(f) = -33*f - 21. Let c(u) = -56 + 9*u - 56 + 117 - u. Determine q*c(w) - 5*i(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292411192 to the power of 1\/2, to the nearest integer?\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5159303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17282 - -682. Round t to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 747?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*b + 7*b + 120 = 0, -5*o = -2*b - 130. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122176?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-60)*-3)\/((-2)\/240). Let l be ((-3)\/9)\/(8\/q). Are 36\/11 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 4*n + 14. Let w(h) = -2*h**2 - 3*h - 11. Let i(x) = -3*s(x) - 2*w(x). List the prime factors of i(-13).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -103*o**2. Let k(y) = -4*y**2 + 9. Give k(w(c)).\nAnswer: -42436*c**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.383704092 minus -3.4?\nAnswer: 5.783704092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 160 = 154. Let u(t) be the first derivative of -6 + 2\/7*t - 5\/7*t**o + 2\/7*t**3 + 9\/14*t**4. Factor u(f).\nAnswer: 2*(f + 1)*(3*f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 1. Suppose 2*d + 5*m + 0*m + 10 = 0, 12 = 4*d + 2*m. Suppose -2*c - 3*c = -35. Let i = c - d. What is t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11037 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 8) in base 16?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 4:35 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*k + 31. Let j(f) = f**2 + 4*f**2 - 2*f**2 + 5 + k*f**3. Let m(x) = -3*x**3 - 7 - 4*x**2 - 6*x**3 - 4*x**3. What is 7*j(h) + 5*m(h)?\nAnswer: -2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -213\/720781 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 7*k. Suppose k = -x - 3*x - 20, -2 = d - 5*x. Let o = 28 - d. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4600, 4599, 4590, 4567, 4524, 4455?\n\"Answer: -j**3 + 2*j**2 + 4599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**8)\/c**(2\/59)*(c*c**(-1\/23))\/c**(1\/8))**(18\/7) assuming c is positive.\nAnswer: c**(957267\/37996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41517989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiimhxiiiiix?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*s - 47*s + 3*s + (-1 - 3 + 6)*(-3 - s + 3).\nAnswer: -116*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/6)\/(3\/4). Let w = -1126 - -772.2. Let v = 354 + w. What is the third biggest value in -3\/5, a, -0.5, v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825686 to the power of 1\/2, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 53 and 209.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36821?\nAnswer: 36821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - -4. Calculate the highest common divisor of 42 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 12, 2*k + 4*m = -k + 40. Suppose 2*n + 4 = k. Suppose 235 = 4*x + 5*b, -4*x + 0*x + 226 = n*b. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 8*x**2 - 18*x**2.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvvbvvv. What is prob of picking 2 v?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169857 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 3*i - 45 = 26*c, c - 4*i + 20 + 28 + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.38 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m - 14. What are the prime factors of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(18\/(-3)) - (-24)\/48\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 11:40 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/6 - 8*r**2 - 3*r + 15. Let b be -24*(-2)\/6*2. Let c be o(b). Solve c = 5*i - 2*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*8\/9 - (-20)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n + 4*n**3 + 5*n**3 - n - 19*n**3 wrt n?\nAnswer: -60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 308\/(-3)*(-9)\/6. Suppose -126 = -15*c + 6*c. Calculate the highest common factor of c and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105551206 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2 + 1\/2*g**4 - g**2 + 4\/3*g**3 - 4*g. Factor f(w).\nAnswer: 2*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.238 * -0.363\nAnswer: -1.175394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 3062 = -3107 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-4 - -67)) + -17\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (60*41\/3690)\/(39\/63)?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 279091 or 279127?\nAnswer: 279127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 108, 426, 956, 1698, 2652, 3818?\n\"Answer: 106*f**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b61 + 4?\nAnswer: 9b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.957462ml to litres.\nAnswer: 0.001957462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -111, -196, -293, -408, -547?\n\"Answer: -x**3 - 78*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004903 rounded to seven decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3682, -14803, -33368, -59383, -92854, -133787, -182188?\n\"Answer: -v**3 - 3716*v**2 + 34*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30222000 (base 5) in base 9?\nAnswer: -408117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2856 is divided by 808.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 236486221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473108 is divided by 118263?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018176 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11420 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0*q - 5*k - 20 = 0, 0 = 2*q - 3*k - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 13. Let a = 3 + -8. Let o be ((-16)\/i)\/(a\/(-25)). What is the greatest common divisor of 32 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -22*p + 21*p - 57, -12*p + 11*p + 2*g = 27 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 2\/11 (c) -10\/3 (d) -1535 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*j - 2*j + 42, 0 = -3*m + 15. Let f be (12\/j)\/((-3)\/(-6)). Suppose -f*z = -70 + 16. Calculate the highest common divisor of 12 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Solve 5*i - 3*a - c = 4, -5*i = -5*a - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 - 4*b**2 + 3*b**3 - 982*b**2.\nAnswer: -2*b**3 - 986*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 32*x**3\/3 - 106. Let n(c) = 2*c**2. Give v(n(l)).\nAnswer: 128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37893285487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/2, -11, -4, 4, -17 in ascending order.\nAnswer: -17, -11, -6, -4, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/18 - (-4370)\/(-60)) + (-10 - 1).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w + 1. Suppose i - y = -i - 9, -5*y + 15 = -5*i. Let n be l(i). Let u = n + 34. Let p(f) = -f**2 - 9*f - 10. Give p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/6 - 1017979*i\/2 = 0. What is i?\nAnswer: 0, 3053937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.7037976ms?\nAnswer: 0.00000007759025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2201042 - -13?\nAnswer: -2201028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12052 - 12051.6. Which is the closest to 1? (a) -3 (b) 0 (c) x (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o**2 - o. Let v(f) = 20*f**2 - 6*f. What is v(u) - 2*x(u)?\nAnswer: 2*u**3 + 22*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h**2 + 2*h + 1. Let a(p) be the second derivative of -p**4\/12 - p - 786. Determine 5*a(o) + w(o).\nAnswer: -21*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(272) + sqrt(272) + sqrt(1377) + 1)*-6)**2.\nAnswer: -216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*-2*-1. Let g(a) = a**2 + 15*a + 70. Let y be g(-6). Let s be (14 - y)*1\/6. Which is smaller: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + v = 3, 2*i - 7 = -4*v - 23. What is the highest common divisor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47367405*j**3 - 4263433*j**2 - 2 wrt j?\nAnswer: -284204430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -7*o + 6*o - 5, -5*f = 15. Which is the nearest to 0? (a) o (b) -2 (c) -1\/2 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from lslsss.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 358014 and -53.\nAnswer: 357961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114*s**3 + 10 + 659*s**3 - 12.\nAnswer: 1773*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.28 (b) -2\/5 (c) 4 (d) -26 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -460497350 - 1\nAnswer: -460497351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + (-5 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 348, -134, 4 in ascending order.\nAnswer: -134, 4, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3275*f**2 - 3253*f**2 - 3271*f**2 + 9812*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + -28. Let j be ((-16)\/40)\/((-1)\/u). List the prime factors of (54\/4)\/(-9)*j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -446 + 449. Suppose 0*i + 126 = w*i. Solve 44*j = i*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -23.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -17. Suppose -l = -5*m + 410, 6*m - 2*m = y*l + 312. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 47179.\nAnswer: 2\/47179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -87*c**3 + 4*c**2 + 38*c + 63. Give g(-3).\nAnswer: 2334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(168\/20 - 4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-55) + 394\/11. Suppose 0 = g - 4*g + t. Suppose -169 - 6 = -5*r. Calculate the remainder when r is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-1856)\/203 - 102?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 12. Let y(u) = -6*u - 30. Let d(q) = 4*y(q) - 10*z(q). Let g(i) = -10*i**2. Calculate g(d(r)).\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -13 - 2 - (3 + -2)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7983991 at least -7984025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15552 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6981 or 1\/581?\nAnswer: 2\/6981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -0.1. Let p = -1.9 + 2. Let m = 0.1 - p. Which is the smallest value? (a) m (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32275968*j**2 - 3*j**3 - 32275968*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 17*t**2 - 44*t + 86. What is r(-16)?\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*d - 3*i, 2*i + 19 = -0*d - 5*d. Let v(m) = -2*m + 3. Let b be v(d). Let h = 7 + b. What is the smallest common multiple of h and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 9. What is the smallest common multiple of k and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -1.621253.\nAnswer: -1.221253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72)\/sqrt(3))\/(sqrt(1152) - (sqrt(1152) - (sqrt(1152) + sqrt(1152)*1 + sqrt(1152)))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.012, 0.05, 225, 2\/7 in ascending order.\nAnswer: -0.2, -0.012, 0.05, 2\/7, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2. Let n(v) be the first derivative of -v**5\/30 + 21*v**2\/2 + 12. Let b(t) be the second derivative of n(t). Determine g(b(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1754656, -3509321, -5263986, -7018651, -8773316, -10527981?\nAnswer: -12282646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -5 (c) -0.5 (d) -4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**4 - s**4 - s**4)*(-2*s - s + 2*s) - 4*s + s**5 - 11*s**3 + 11*s**3.\nAnswer: -2*s**5 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842, 1708, 2640, 3674, 4846, 6192, 7748?\nAnswer: 9550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - b**2 + 17*b - 25. Let p(l) = -2*l**3 - 8*l + 11. Determine -2*m(h) - 5*p(h).\nAnswer: -2*h**3 + 2*h**2 + 6*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/476 + 3\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -379 + 389 - 1\/(3\/33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2 = 3*h + 3*y, -3*y = -4*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(-25)\/360 + (-826)\/732. What is the second biggest value in 0, -1\/5, 0.05, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 103782*i\/5 + 83032.\nAnswer: -2*(i - 4)*(i + 51895)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15529 (base 16) to base 4.\nAnswer: 111110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 9. Let i be q(-7). Let p = i - -17. Suppose p = 2*k - 3*j - 216, -581 = -5*k + 4*j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v - 11 - 14 = -25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(171)*1)\/(-5*sqrt(36)).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 7. Let x be s(-5). Calculate the common denominator of 23\/8 and x\/3 - (-166)\/42.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 8 = -2*p - 2*s, 4*p + 3*s = 12. What is the smallest common multiple of -3 + -2 + (21 - p) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13757 - 178925\/13. Let z = i + 926\/91. Calculate the common denominator of (2 - 19)\/(6\/8) and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4749.64 rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 20*c**2 + 19*c - 9. What is l(19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352209964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -77, 3\/5, -2\/13, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -99*o + 79. Let w(h) = -43*h + 40. Let m(n) = 4*g(n) - 9*w(n). Calculate m(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 8*p - 9*p, -3*p - 3 = 3*l. Is l greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:34 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 13*z**3 - 3*z**3 + 3*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8805 - 2954 - 4113 - 7848 + a - 24508)*(1 - 3 + 3) to the form h + p*a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h**3 + 6*h**2. Let r(z) = 9*z**3 + 7*z**2. Let v(i) = -2*q(i) + 3*r(i). Find the third derivative of v(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 0.35?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0849 - 777924563085.\nAnswer: -777924563085.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754.1688 - 4551.857.\nAnswer: -5306.0258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 times -341?\nAnswer: 72292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5678.1 - -5678. Let q = -0.8 + 0.3. Sort -0.2, 0.5, r, q in increasing order.\nAnswer: q, -0.2, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100011110111000010 (base 2) in base 11?\nAnswer: a75086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1263 - 1263 + 6*i. Let k(c) = 2*c**2. Determine r(k(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 53 = -2*k + 84, -k = -4*v + 120. Solve -16 = o + 4*y, 5*y = o - 0*o - v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6.82691 (b) 7 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15765446 + 7?\nAnswer: 15765455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 721 = -2*h - 2*s, -s = -5*h + 1762. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4 + 48*z - 95*z + 60*z + z**2. Let g be o(-14). Solve 38 - g = 7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 - 7\/(-3). Suppose 2*w + d = -0*d + 152, -4*w - 5*d + 310 = 0. Suppose u*o = 7*o - w. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(245) + -2)*6 + (4*(sqrt(125) + sqrt(125) + 1) - (sqrt(125) + 2)*5)**2.\nAnswer: -138*sqrt(5) + 1167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -340611526 divided by -279878?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.5 + -11. Let d(l) = l + 8. Let x be d(-8). Let q be (-4)\/(-9)*(-3)\/(-2). Put q, i, x in descending order.\nAnswer: q, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 155. Let d = -2112 + 2276.95. Let q = t - d. Round q to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12246*i + 12259*i - 17017. What is the remainder when i is divided by 264?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = t - 8 - 140, -t + 148 = o. What is the highest common divisor of t and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 5:32 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 4*l**2 + 2 - 2*l**4 + 14*l**3 - 15*l**3 to d*l + h*l**2 + j + s*l**4 + b*l**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4116 and 0.2173?\nAnswer: 4116.2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-399)*(34\/4 - 5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/24)\/(28\/6). Let m = j - -117\/280. Let z be 119\/21 - 6 - 39\/(-9). Which is the closest to m? (a) z (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gji when three letters picked without replacement from gjhii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/165?\nAnswer: -4\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*1438991.46\nAnswer: -2877982.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(2*l - 4*l - 3*l)*(-1 - 2 + 1).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -770, -772, -774, -776, -778, -780?\n\"Answer: -2*a - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2538.744659 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (-4 + 3) - (-7 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 138*q**3 + 3*q**2 - 4229*q - 4232. Determine f(-1).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*5*(-196)\/(-245). Let a(t) = 2*t**2 - 3*t + 1. What is a(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -59\/22 (b) 2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4 + 2936*n**3 - 1419114*n**2 + 224270468*n + 454240912 = 0.\nAnswer: -2, 388, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 815.\nAnswer: -6\/815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 494?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**2 - 4*m - 5. Suppose 0 = 3*j + p - 5 - 3, -j - 4*p = 1. Let y(s) = 17*s**2 + j*s + 23*s**2 - 33*s**2 + 4. Calculate -5*r(d) - 6*y(d).\nAnswer: -2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75835, -151266, -226697, -302128, -377559?\n\"Answer: -75431*l - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90.6 - -91. Which is the third smallest value? (a) 3 (b) y (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*s**5 - 14*s**5 + 10*s**5 + (-21*s + 21*s + 3*s**2)*(-3*s**3 + 0*s**3 + 5*s**3).\nAnswer: -23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 - 118.961. Let s = -0.311 + o. Round s to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054.876 rounded to 0 dps?\nAnswer: -2055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((252\/6)\/(-7))\/(9\/(-2))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18\/67 + -1499\/1340. Find the common denominator of m and -55\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 0*l)*(31 - 14 + 30).\nAnswer: -94*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5045 (base 6) to base 16.\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*(sqrt(24) - sqrt(6))*5)\/(sqrt(200) - (sqrt(200) - (sqrt(200) + sqrt(200)*3))*6))**2.\nAnswer: -4*sqrt(3)\/19 + 23107\/1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let u(w) = 3*w**2 + 3*w**2 + 0*w**2 - 5*w**2. What is y(u(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66100915 - -135044172998\/2043. Let w = s + -2385862\/1444401. Let x = -2\/303 - w. Which is the smallest value? (a) 0.4 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**2 + 19. Let c be v(-9). Let k be 56\/6 + (-8)\/24. What is the highest common factor of c and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 329 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2963203*f**3 + 587 - 587 - 1990980*f**3.\nAnswer: -4954183*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:15 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (216 - 163 - c - 141)*(2 - 2 + 2*c) to the form o*c**2 + p + v*c and give v.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295 + 416. Suppose -4*l + 2*a = -3*a - k, 0 = l + 2*a - 27. Calculate the remainder when l is divided by 8\/10*75\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124227668.78 rounded to the nearest one hundred thousand?\nAnswer: 124200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffftfcffttfffftfh. Give prob of picking 1 h and 1 c.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 440537, 440556, 440609, 440714, 440889, 441152, 441521, 442014?\n\"Answer: 3*x**3 - x**2 + x + 440534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-48)*12\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16 + 1 = -c, -3*d = 4*c + 8. Let r be 6\/d - (-2 - 243\/6). What is the highest common divisor of r and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y + 1. Let l(q) = q**3 + 10*q**2 - 12*q + 23. Let w(s) = l(s) - 2*u(s). Let o(a) = -a - 17. Let r be o(-8). List the prime factors of w(r).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9382 - 4406. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 61*p**2 + 69*p + 1160. Calculate t(-31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 511, 3, -3, -0.3.\nAnswer: -7, -3, -0.3, 3, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3802008 = -453*i + 82*i. List the prime factors of i.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 25. Suppose -w + 0*w = -18. Let b = w - n. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Calculate the least common multiple of 24 and x(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15ad641 (base 14) in base 8?\nAnswer: 50454551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7487, 7802, 8119, 8438, 8759, 9082, 9407?\n\"Answer: x**2 + 312*x + 7174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 75 - 57*k - 73.\nAnswer: -57*k + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**3 + 4*d**2 - 4*d - 7. Determine f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 4. Let i(n) = -n + 2. What is -g(w) + 4*i(w)?\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -36. Suppose 0 = -z - z. Suppose z = 4*n - 1 - 7. Solve 3*r + p = -n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:02 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1738 + -119908\/69. Let y = 30983\/9621 + 2\/1069. Calculate the common denominator of y and o.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2. Let r(z) = 12*z**2 - 6*z**2 - 9*z**2. Give r(x(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 765 + -514. What are the prime factors of f?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*w + 8*w. Solve 0 = 4*h + 11 + w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**2 - 78*x + 151. Let g be u(2). Solve g = 21*c - 32 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 594872256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13\/(130\/4540) + 4 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, 1\/9, 7, 0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*s = -0*b + 114, -3*b - 374 = -2*s. Let o = b + 87. Is 20 a factor of (-569)\/(-7) - 0 - (-10)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*g - 9 - 2, -6 = -2*y - 2*g. Suppose 0 = y*m + 10 - 100. Let w(c) = c**2 - c. Let v(p) = -21*p**2 + 18*p. Give m*w(j) + v(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u - 10. Let a = 7 + -5. Let g(d) = -d + 0 + 2*d - a. What is g(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13289 and 3559624726.1?\nAnswer: 3559611437.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 362.9, 1\/6, 1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1672522, -1672227, -1671932?\nAnswer: -1671637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5756, -131, 1.\nAnswer: -5756, -131, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1283576182193106 + -2.\nAnswer: 1283576182193104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 15 - -11 - (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.3. Let y = 89.026 + -91. Let q = y - 0.026. Which is the second smallest value? (a) q (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*j + 106*j + 43360 = -2172*j + 391*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27451 + 27456. Solve -c = -2*n + 5, 3*n - 15 = 4*c - i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200748\/27 < 81510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6 + -3 + 2 - (58 + -100)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5145 is divided by 249?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 301134976, 301134974, 301134972, 301134970, 301134968?\n\"Answer: -2*o + 301134978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2486007 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41832 and 359352?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 3*d - 3459210 + 3459210 + 2*d - 3*d. Let v(q) = -2*q**2 + q**2 + 8*q**2. What is s(v(z))?\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Let v = -0.9 - -0.4. Let z be 4\/22 - 35\/(-231). Which is the nearest to w? (a) 0.3 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 11*a. Let d be i(11). Suppose 3*v + d = 12. Let o = v + 4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21890 is divided by 282.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*h**2 + 519 - 61*h**2 + 621 in the form u + x*h**2 + c*h and give u.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19*v**2 + 2*v. Let o(g) = 20*g**2 + 3*g. Give -6*f(b) + 5*o(b).\nAnswer: -14*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1740012 = 3*t, 0 = 5*t + 2*n - 7*n + 2899985. Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -43, -1 in decreasing order.\nAnswer: 29, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**3\/3 - 2*o**2 + 4*o - 288. Let d(g) = g**2 - 3*g + 3. Give 3*d(v) - 2*y(v).\nAnswer: -v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 20*u - 24. Let r(i) = 10*i + 146. Let q be r(-16). Calculate the remainder when b(q) is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 3607472?\nAnswer: 360747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3773 + 0.523. Round f to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.48, 5, 205, -2\/7, -2.\nAnswer: -8.48, -2, -2\/7, 5, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4962824?\nAnswer: 2, 47, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*l - 1 = 0, 17 = 5*x - 12*l + 10*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 17\nAnswer: -38\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 - 1 = 0. Suppose 0 = 5*h + 3*z - 4*z - 17, -x = -2*h + 2*z. Solve -h = -g - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-11718)*14 + 64\/(-31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.325 (b) 1 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4.3. Let a = l + 1.2. What is the closest to 0 in 1\/4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350853?\nAnswer: 23, 43, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let m(q) be the second derivative of -q**4\/6 + 324*q. Determine t(m(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let y be (-1 - 2 - -9) + s. Suppose 0 = -c + y. Solve 17 = -5*l - c*a, -4*l - 3*a - 20 = a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, -7, -1.7, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-6) - 715\/429. Solve -i = -2*p + r, -13*p + i + 7 = -10*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18150 and 137\/66.\nAnswer: 18150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - y + 2*y)*(13597*y + 1 + 5 - 19669*y - 8) in the form f*y**2 + j + o*y and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 96. Let h(k) = -2*k - 3. Let r be h(-5). Suppose 2*l + 125 = r*l + x, -2*x = 4*l - 94. Calculate the remainder when l is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2902*v**2 - 11*v - 2917*v**2 + 5*v + (-4 + 4 - v)*(v + 3 - 3) - 5*v**2 + 8 - 8.\nAnswer: -21*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22580575 and -22.\nAnswer: -22580597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29788580 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + l = 89553, 0*l + 89568 = 4*a - 4*l. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 421*g**3 + 1 + 283*g**3 - 15*g + 2*g**2 - 700*g**3 as s + b*g + k*g**3 + f*g**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*v**3)*(-v + v + 2*v) + (54*v**2 + 80*v**2 + 26*v**2)*(0 + v**2 + 0) to r*v**2 + f*v + d*v**3 + c + t*v**4 and give t.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a millimeter in micrometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 3. Let b be (1\/u)\/(7\/778785). Suppose 7085 = -5*y + b. What is y rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*m - 496 = 556, 3*m = 2*p + 1049. Let c = 520 - -251. Let b = p + c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 267 = -359. Calculate the remainder when 194 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -6)*(-15)\/(-9). Put l, 13, 4 in ascending order.\nAnswer: 4, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 0.74783398.\nAnswer: -4.25216602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/152 and 2\/209.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -21) + (0 - 2 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24322*y**3 + 48242*y**3 - 24223*y**3.\nAnswer: -303*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = -320. Let h = i - -103. Suppose -6*c = -h*c + 2227000. What is c rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.047 and 2.4?\nAnswer: -0.1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38709.2 nanoseconds in microseconds?\nAnswer: 38.7092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-14567\nAnswer: 2913.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 72*v**3.\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 263553 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.45 + -0.5?\nAnswer: 918.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, t: 2, o: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let l be k(3). Suppose 0 = 2*s + 1 - 5. Solve -5*i = -2*f - s, -3*i - 3 = l*f - 6*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - n = 4*n + 19, 2*z - 3*n - 11 = 0. Let c(t) = 109*t**2 + t. Let y be c(z). Is (-3)\/3 + 4 + y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 9 = -4*c. Let r(i) = -4*i**2 + 3 - c - 2. Let j(d) = 3*d. Let m(w) = 4*w. Let z(v) = -3*j(v) + 2*m(v). What is r(z(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-7 - -2)*(-2)\/(-6). Which is smaller: 2\/153 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 7. Let f be w(0). Let d(v) = -v + 1. Let s be d(1). Suppose s*c + c = 0. Solve -r - 2 + f = c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275821371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -149*q**3 - 6*q**2 - 2*q - 2. List the prime factors of x(-2).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9485, 9514, 9573, 9662, 9781, 9930, 10109?\nAnswer: 10318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {k: 5, m: 7, v: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17 + 9 + 6 + 4 + n + 8*n. Give w(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s - 4. Let a(c) = c + 19. Let y be a(-9). Suppose y*j + 100 = 15*j. Calculate the least common multiple of i(4) and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -388*u**2 - 399*u.\nAnswer: -776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5407a (base 14) to base 4.\nAnswer: -301212130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/24)\/((-1958)\/(-58740)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let -13*x**5\/2 + 12*x**4 + 17*x**3\/2 - 12*x**2 - 2*x = 0. What is x?\nAnswer: -1, -2\/13, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22. Let h = 11.6 + -15.6. Let x = -1.1 + 0.9. Which is the closest to x? (a) i (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6672 = -73*x + 97*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 15*m**2 + 10*m.\nAnswer: 5*m*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45 + ((-5670)\/150)\/1. Factor -6\/5 + b*j**2 + 9\/5*j + 21\/5*j**3.\nAnswer: 3*(j + 1)**2*(7*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 10. Let b be -2*(-2)\/(8\/j). Solve 4*r + b = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2841632473?\nAnswer: 1999, 1421527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let l(w) = -w - 2. Let s(i) = l(i) + 2*y(i). Let b(q) = 3. Let v(x) = 4. Let d(p) = -5*b(p) + 4*v(p). Determine 6*d(c) + s(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1010901 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -360 - -359. Let f be (-1)\/y*(1 - 1)\/8. What is the third smallest value in f, -42, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2 - 3)*-10. Suppose h = 5*h + z - 6, -8 = 4*z. Suppose -h*k + 3 + 1 = 0. Solve 3*t = 2*m - 10 + k, -4*m = -3*t - q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 5 + 4*u**4 - u**3 + 3 + (-4*u + 3*u + 0*u)*(-2*u**2 + 3*u**3 + 2*u**2).\nAnswer: u**4 - u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**6\/10 - s**4\/8 - 6*s**2 + 13*s. Let d(x) be the first derivative of c(x). What is the second derivative of d(u) wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3)*-1 - -3. Let j = i - 4. What is the units digit of (-3 + 31 + j)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5146.509l to millilitres.\nAnswer: 5146509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*d = d + 22, -d - 5 = 0. Let l = t + 8. Let p be 12\/(18\/(-22) - -1). Calculate the greatest common divisor of l and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 176*f**2 + 88*f**2 + 89*f**2 - 2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667370637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (62\/(-5))\/((-1)\/5) is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -875142*x + 875080*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**3 + s**2 - 3*s - 4. Determine q(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18659213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 n when three letters picked without replacement from ttahttnoahtaaht?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16*y**2 + y. Let k be d(-1). Let m = -9 + k. Suppose 0 = m*x - x - 65. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 115773\nAnswer: -6\/38591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7808\/976 + (0 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 0.1, 9, -10, 5, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414154.\nAnswer: 2, 13, 17, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.34375235 and -7.\nAnswer: -14.34375235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*d**3 - 29*d**3 - 25*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1278, -5050, -11320, -20088, -31354, -45118?\nAnswer: -61380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720*g + 7090*g + 15920*g + 8067*g - 2074*g.\nAnswer: 29723*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**2 + 5*l - 9. What is the units digit of b(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 3*g**5\/40 + 3*g**4\/32 - g**3\/8 - 3*g**2\/16 - 13. Solve j(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(162) + sqrt(162)) + 2 + 0 + ((sqrt(162) - ((-2*sqrt(162) + sqrt(162) - sqrt(162) - sqrt(162)) + 1)) + 6*(-1 + sqrt(162)))*3)**2.\nAnswer: -5292*sqrt(2) + 285817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -51*z**2 - 115*z - 115. Give d(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4, -3*q - 392 = -4*k - 2*q. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 5*x**2 - 18*x - 19. What is u(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -1)*(0 + 1). Suppose 22*i - i - 84 = 0. Let h be (-2)\/i - z\/2. Solve -h*c = -7*s + 3*s + 12, -4*c + 28 = 5*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -201?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3 - 1014372*h**2 + 128740457538*h - 30839309629920 = 0.\nAnswer: 240, 253473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/5 - 2438116*b + 12190578\/5 = 0.\nAnswer: 1, 6095289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {p: 1, l: 3, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 4. Suppose 7 + 2 = -3*x. Let h = 3 + x. Let p be h\/((-9)\/3) + 3. What is k(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 8*k - 4*k**2 + 2*k**2. Let d(a) = 25*a - 1 + 4*a**2 - 3 + 5. Let z(y) = 2*d(y) + 7*t(y). Calculate z(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709326358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*f + 7 + 108, l + 82 = -4*f. Let o be (-2 + f\/(-9))*(4 - -5). Let k be 32*(o - (-20)\/(-8)). Solve -k = 5*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - -392853?\nAnswer: 392806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-17 + 18)) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, a: 1, d: 2, u: 3, n: 3}. Give prob of picking 1 a, 1 u, and 1 s.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 344*y**2 - 2*y + 4. What are the prime factors of z(1)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164095*m**3 + 24*m**2*w - 6856625*w with respect to m.\nAnswer: -492285*m**2 + 48*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26675 by 97.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooiiooo. Give prob of picking 2 o.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2859775 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from ffioov?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48447 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-1)\/14) + 3. Suppose 0*m + 4 = 2*m. Suppose 4*t = -w + 323, 3*w + 37 = -m*t + 206. Calculate the highest common factor of t and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2\/(-8)) - 0. Let m = 6 + t. Calculate the remainder when 19 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 - 27*u - 37. Give z(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 946538553 a multiple of 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9001 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n*n)\/(n*n**(-1\/10)*n)*((n**(-3)*n)\/n*n*n)\/((n\/((n\/(n**(-1\/4)\/n*n))\/n))\/n) assuming n is positive.\nAnswer: n**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(179 + 203*u - 179 + (-2 + 5 - 2)*(-u - 2*u + 4*u))*(-3 + 0 + 2 + (11 - 11 + 10)*(-6 + 2 + 3)) as l*u + v and give l.\nAnswer: -2244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**3\/3 + 49*t**2\/2 - 11*t - 3. Let r be x(-18). Solve 4*y = 2*f + 1 - r, 3*y - f = -11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -121, -237, -347, -451, -549, -641, -727?\n\"Answer: 3*v**2 - 125*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566258 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 185544.\nAnswer: 185544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/13 (b) 0 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43279 times -1323?\nAnswer: -572.58117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056645 is divided by 52832.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, -20 + 5 = -5*p + 5*n. Let j be (2\/4)\/((-417)\/42 + 10) + 1. What is the second derivative of 10*z - 20*z**3 + 3*z - 3*z**p - j*z**3 wrt z?\nAnswer: -186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61600 (base 8) in base 5?\nAnswer: -1303342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369041, -736378, -1103715, -1471052, -1838389?\nAnswer: -2205726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2 - -4)*0. Let t(a) be the third derivative of -1\/24*a**4 + a**2 + c - 1\/120*a**6 + 0*a**3 + 1\/30*a**5 + 0*a. Factor t(i).\nAnswer: -i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**3 + 41*q**2 - 4*q + 15. Does 18 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -0.09 (c) -2\/5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(66) - -1*sqrt(66)) + sqrt(66)))\/(3*(sqrt(6) - (sqrt(6) + (sqrt(6) - (sqrt(6) + sqrt(54)))))) - (3*5*-2*sqrt(11) + -5).\nAnswer: 5 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 26?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + 2*f**2 - 2*f**2 - 4*f**2. Let k(n) = -3*n. What is k(m(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -8*z + 22. Let f(n) = 2*n**2 - 47*n - 27. Let m(l) = -4*l**2 + 94*l + 54. Let i(j) = -13*f(j) - 6*m(j). What is the tens digit of i(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 1:58 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 364702692 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72014877?\nAnswer: 3, 11, 439, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.22087 milligrams to kilograms.\nAnswer: 0.00008822087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-30) + 92\/10. Let g(q) = -q**3 - 6*q**2 - 6*q + 1. Let f be g(-5). Let z = u - f. Solve 2*w + 4*x + 9 = w, -w = -2*x + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 320, 319, 318, 317, 316, 315?\n\"Answer: -v + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 18. Let w be v(5). Let o(b) = b**3 - 12*b**2 - 13*b + 1. What is the lowest common multiple of o(w) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3586 - 3584. What is the closest to 1 in -13, v, -3\/8, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((300\/110)\/((168\/77)\/3))\/((-9)\/(-48))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -182, -290, -400?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3913.3 - 3913. Which is the third biggest value? (a) p (b) -2\/63 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**16)**(-32)*(b**0)**(-32)\/(b**(-8)*b*b**(4\/3)) assuming b is positive.\nAnswer: b**(1553\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 381 and 231?\nAnswer: 29337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.49531, -4\/15, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 755 = x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 24 + 7*r + 33 - 58 - 74*r. Let t(p) = -p**2. Give b(t(f)).\nAnswer: 67*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744525 is divided by 372124?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 6 - (-53)\/11. Which is the third biggest value? (a) 1 (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1519105, -1519098, -1519091, -1519084, -1519077, -1519070?\n\"Answer: 7*w - 1519112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6429 - 936. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rla when three letters picked without replacement from ppplwqqqawrp?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -21. Suppose -w = -0 + 1, -3*r = -4*w - 16. Solve 20 = 3*h + r*t - z*t, 4 = 2*h - t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 251 - 182. Suppose -2*i + 45 = -b. Calculate the lowest common multiple of i and 7.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213077729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*i - 76 = -105*i. Suppose 0 = 4*l + w - i - 0, 2*w - 2 = l. Solve l*y = -3*j - 7, -10 + 2 = 5*y + 3*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5459 divided by 53?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1)\/(-1*sqrt(10)\/sqrt(2))*2)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19012\/441 - 43 - 1\/(-234)*-38?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11925)\/(-265)*((8\/4)\/(-220))\/((-3)\/(-12))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = a + p - 4, 4*a = 2*p + 14. Suppose 3*n + 4*d - 19 - 16 = 0, 25 = a*n + 2*d. Let h(f) = -f**2 + 6*f - 1 + 4*f - 3*f. Give h(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -509 - -635. Suppose 5*l - z = 404. Calculate the smallest common multiple of l and 14.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -3\/2, 5, -0.09, -0.037.\nAnswer: -3\/2, -0.09, -0.037, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -123 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 72. Is 0.2 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttealacaca. Give prob of sequence tcta.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645 = 8*l + 621. What is the second derivative of 255*b**3 - 44 - 255*b**l + 4*b + 0*b - 126*b**4 wrt b?\nAnswer: -1512*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14763)\/(-27) - (1 - 11\/9)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or 4?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.419 + -0.719. What is the third biggest value in b, 1.2, 5, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 960?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000360263 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 2 h when four letters picked without replacement from wllalwlhebaahllllelw?\nAnswer: 9\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -8 in ascending order.\nAnswer: -8, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pii when three letters picked without replacement from {i: 3, p: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2. Let v = -6 - -8. Let y(q) = q**2 + 3*q**2 - 6*q**v. Give y(z(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.042 + 0.042. Which is the closest to 0.1? (a) 5\/6 (b) h (c) -1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27514 and -3.\nAnswer: -82542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5) - 441\/(-35). Let l be y*(-3)\/9*-2. Let k(b) = -2*b**2 + b**2 - l + 17*b - 25*b + 14*b. Calculate k(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 169, 5, -24 in descending order.\nAnswer: 169, 5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3408 and 106784.\nAnswer: 320352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 2*r**2 + 5*r - 4. Determine s(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 92 = 20. Suppose 0 = -5*m + 43 - w. Which is the nearest to -0.3? (a) m (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -476 (b) 2\/9 (c) -4 (d) -3\/8 (e) 5 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618 (base 15) in base 2?\nAnswer: -1001010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100592.\nAnswer: 2, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 <= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -511, -695, -1057, -1657?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62*627\/7068*(-44)\/(-2).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 + 2*i + 1. Let f(b) = -11*b**2 - 3*b - 4. Let y(p) = 54*p**2 + 15*p + 21. Let m(w) = 11*f(w) + 2*y(w). What is 5*m(d) + 7*q(d)?\nAnswer: -2*d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-4)*(-111)\/((-3663)\/(-44)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1108 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -r - c, -4*r - 25 = -3*c. Let b be (1\/r)\/((-4)\/64). Suppose 5*u = 3*u - b*g + 82, 3*u - 144 = g. List the prime factors of u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bab (base 14) to base 9.\nAnswer: -11621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -767\/21 + 286\/7. Let a = -14\/3 + t. What is the second smallest value in 1\/3, a, -0.01, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1744*i. Let j(p) = 2*p. Determine c(j(a)).\nAnswer: 3488*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4 + 4 + l + 5 + 0. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101111110100111 + -10110011?\nAnswer: 10110101111011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4332 (base 5) to base 4.\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0689574 or 2\/3?\nAnswer: 0.0689574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*r**3*t**2*y + 1282*r**3*t**2 - 78681744*r**3*t*y - 2*r**3 - 52*t**2*y wrt t?\nAnswer: 18*r**3*y + 2564*r**3 - 104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10494 divided by 200\nAnswer: -5247\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/16 - 0) + (-3)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 12806062*d - 38418168.\nAnswer: -2*(d + 3)*(d + 6403028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/8)\/5)\/(5\/(-50)*2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 1. Suppose 3*l = -q + 8, 10 = -5*q - 3*l + 2. Let b(n) = 2*n - 3. Let y(z) = -3*z + 4. Let r(i) = -5*b(i) - 4*y(i). What is q*t(x) + 5*r(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95 or -98?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*s + 44214 = 88*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 + 21 + -1 + 4. Let p(s) = -80337*s + 22. Let j be p(y). What is j rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (-24)\/(-11 + 3). Calculate the common denominator of (-236)\/(-3)*(-1)\/(-8) and (-1425)\/275 + o + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-68))\/(1\/1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 36003 = -r, -5*r + 4*r + 36012 = 4*n. Suppose -3*x = 2*x + r. What is x rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k - 4. Let i be o(2). Solve -2*r - i = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 16*q**2 - 3*q - 29. Let z be w(-16). Let j = z - 42. Let r be j\/(-36) - (-66)\/(-88). What is the smallest value in 1, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-40)*-8)\/(8\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2197 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*r**3 + 30*r**3 - 17*r**3 + 58 in the form h + c*r + n*r**2 + u*r**3 and give h.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 11*h - 22*h. Which is the closest to 1? (a) 2\/9 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 465?\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.8 - -4.3. Let u = 16 + t. Let v = -4.8 - u. Sort -0.2, v, 2\/3.\nAnswer: v, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 23*c + 100 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 5*v**3 + v**3)*(0 - 1 + 2) + (-v**3 + 2*v**3 + 0*v**3)*(-30 + 43 + 10).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 86 = -26. Suppose -2*h = -2*t + 168, 0*h + r = -3*h. What is the greatest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*a + 2*b - 27, -2*b + 23 = 3*a. Calculate the smallest common multiple of 4\/(-2) - (-13 + 2) and a - (0\/4 - -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + (-6 - -13) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9303288 a multiple of 878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-2 - -2)\/(-2). Suppose 3 = u - d. Solve -3*z - 5*b + 2 = 10, 0 = 3*z - u*b - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -1129a0?\nAnswer: -112997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/sqrt(3)) + sqrt(17)*1 + 5.\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 - n**2 - 3*n - 9. What is the units digit of f(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 * -1171517\nAnswer: -48032.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1265, 4953, 11083, 19655, 30669, 44125?\n\"Answer: 1221*p**2 + 25*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2, -64, -3, 0.1, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2 - 11. Suppose -2*d = h*d - 10. Suppose -3*a + 103*q + 23 = 105*q, 0 = 4*a + 4*q - 36. Solve -d*j - a = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1354003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = -10*p + 2467. Let k(z) = z**3 + 3*z**2 - z - 3. What is the least common multiple of p and k(-2)?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -4\/5 (c) 1 (d) 0.06 (e) -4\/49 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1 - 15\/(-9)). Let v(b) = -b**3 - 2*b**2 + 4*b + 5. Let o be v(m). Solve o = -2*u - 0*c - c, 4*u + 4*c = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 + -0.3. Let y(q) = -2*q + 20. Let z be y(9). Let j be (z\/(-14))\/(-1 + 3\/(-7)). Sort p, -1, j in decreasing order.\nAnswer: j, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*-6*(-6)\/9. Let t be 8\/(-10)*(h + -1). What is the third derivative of 6*i**4 + i**2 - 2*i**t - 5*i**2 + 0*i**2 wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22661996 and 1?\nAnswer: 22661995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.4136 litres in millilitres?\nAnswer: 543413.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 1 + 1)*(0*z + 4*z - 5*z) + (10*z + 5*z - 7*z)*(-2*z + 0*z - z) + 16*z - 16*z + 2*z**2 to the form n*z + x + i*z**2 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-98)\/21 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -59\/3. Let x be (1\/(-4))\/((-3)\/12). Suppose 4 + x = -5*b. Is d at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 161580213 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let a = k - 3.5. Let t = -1.5 - a. What is the second smallest value in 0.01, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 297, 288, 257, 198, 105, -28, -207?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 18*j**2 - 20*j + 14. Let f(w) = -w + 2. Let a be f(0). Suppose 0 = -3*z - a*h - 59, 5*z - 2*h = h - 73. Does 13 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87403239774.637 + -1?\nAnswer: 87403239773.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:58 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3 and -133\/90042?\nAnswer: 90042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1026526?\nAnswer: -1\/513263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*v**3 - 24*v**3 + 102*v**3 + (5*v + 3*v - 5*v)*(2 - 2 - 4*v**2).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 67. Let c be k + -1 - (-20 + 21). Let z(o) = o**3 - 4*o**2 + o + 1. Let w be z(4). Solve 0 = c*i, 2*j + 1 - w = i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82316 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9978 or -9984?\nAnswer: -9984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 40, 41, 42, 43, 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 145113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -14\/11, -4\/5, 0.1, 2, -4?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 393745 divided by -1?\nAnswer: -393745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 6*z**2 + 1. Suppose s + 2*h - 5*h = 9, -5*s = h + 3. Suppose 0 = 4*l + 3*i - 2*i - 24, s = -i. Let j be u(l). Do 0 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 14 = -5*f, -5*x = 5*f - 0*x - 15. Let g(j) = 15*j**2 + 3 - 10*j**2 + j - 6*j**f. Let t(k) = k**2 - 4. Determine -4*g(w) - 3*t(w).\nAnswer: w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16 - 30 - 3*h + 13. What is x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2182*w**2 - 43*w**2 - 4548*w**2)*(-3*w**2 + 2*w**2 - w**2).\nAnswer: 13546*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-7)*n*n**(-12) assuming n is positive.\nAnswer: n**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14698641 to the power of 1\/2, to the nearest integer?\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 1, w: 1, y: 1, l: 1, i: 2}. What is prob of sequence yl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6*s - 9. Let d be (-5)\/1*48\/(-30). Is 2 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 908585 - 1?\nAnswer: 908584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 23 = 3. Suppose 0*j - j + 6 = k, -16 = -4*k - 2*j. Let l be (k - 9\/3)*-5. Which is the nearest to 0.1? (a) l (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 0)*5)**2 + -1*sqrt(475)*5 - ((sqrt(19) - sqrt(114)\/sqrt(6)*-3) + sqrt(228)\/(sqrt(24)\/sqrt(2))).\nAnswer: -30*sqrt(19) + 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5119075335411 - -10?\nAnswer: 5119075335421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -33*c**4\/5 - 11637*c**3 - 29128986*c**2\/5 - 2957159436*c\/5 - 107340552 = 0?\nAnswer: -814, -135, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 135 = -4*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*f**5 - f**4 + 898*f**2 wrt f?\nAnswer: 2280*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -6*q + 23. Put -14, 5, q, 2 in increasing order.\nAnswer: -14, q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(104)\/(-2*sqrt(8)) + -1)*-3)**2.\nAnswer: 36*sqrt(13) + 693\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.3609 from 8209065.\nAnswer: 8209048.6391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4197289 millilitres to litres.\nAnswer: 0.0004197289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -4. Let u = l - 41.8. Round u to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*f**3 + 53365*f**2 + 110500*f + 6140 = 0 for f.\nAnswer: -2, -2\/35, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35423 (base 7) in base 4?\nAnswer: 2032223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -101 - 62 - -84.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Solve 5*i = x*t - 40, 3*i - 20 = t + 8*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 1. Let a be v(-1). What is the units digit of a*3\/(36\/40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584) - -2*1*sqrt(3584))\/(sqrt(392)*-1 - sqrt(32)\/(sqrt(4) - (sqrt(4) - (sqrt(4) - (sqrt(4) + -1*sqrt(4)))))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)\/(1 - -1). Let d(y) = y - 5. Let x be d(k). Let h = 62.6 - 63. Put 5, h, x in ascending order.\nAnswer: x, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -7*n - 8*c + 171, 2*c = -5*n - 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 9*t + 23. Let p be y(-7). Suppose 2*z - p*z = -28. Solve -2*l = -n - 12, -n = -5*n - z*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398246.\nAnswer: 2, 173, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) -152 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 - (-3 + sqrt(243) + sqrt(3))) + (sqrt(3) - (sqrt(432)*1 - sqrt(432))) + 6*(-1 + sqrt(3))**2.\nAnswer: -3*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6965766 is divided by 399.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 6:13 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:16 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1*2\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (15 + -28) - -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.3 and -5425425.\nAnswer: -17903902.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 198*f*i*p**3 + 27*f*i*p**2 + 220*f*i - 160*i*p + 179831*p**3 wrt f?\nAnswer: 198*i*p**3 + 27*i*p**2 + 220*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/120 + r**5\/10 - r**4\/8 - r**3\/6 + 4*r**2. Let k be u(-5). Calculate the highest common divisor of k and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 5649*h + 96169. What is r(-17)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 p when four letters picked without replacement from ohypfhopc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/2, 2340, 2, -1.8, 6, 0.3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 7*v**2 + 2*v - 10. Let j be g(-5). Suppose n - 8 = -y + 2, -2*n = 4*y - j. Solve -y*w + 1 + 6 = 2*c, 0 = -3*c + 5*w - 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 24245*t + 240 - 48576*t + 24213*t. Determine w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdm when three letters picked without replacement from {z: 1, m: 1, k: 2, d: 1, r: 2, c: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by 20\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.45905 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -11. Let m be (-106)\/(-8) - (-2)\/(-8). Let x be m\/65 + 4\/(-10). What is the third biggest value in 4, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e - -a0?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*x = 133*x + 33792. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/30 + 2*m**2. Let s(u) be the first derivative of 22*u**2 + 2*u + 766. Give x(s(h)).\nAnswer: -3872*h**2 - 352*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 0*f**2 - 3*f**2. Let z(p) = -2*p**2 + 416582*p - 416582*p. Determine z(w(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 11218 = 9*n, -4135 + 1683 = -2*n - 4*w. Calculate the highest common factor of n and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 + 232\/16)\/(1\/2). Solve -5*c + 20 = 2*k, 0 = 12*c - 11*c - i*k - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*x + 7 + 1, 4*x = 8. Let o(d) = 4*d**i + 11*d**2 - 18*d**2. Let w(c) = 4*c. What is w(o(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 4356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 + 5*t**3 - 35525*t**2 - 1164485*t = 0. What is t?\nAnswer: -49, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 43. Solve 2*n - 5 + 1 = t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17656188 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 2, k: 2, v: 12, b: 2}. What is prob of picking 1 k, 1 i, 1 g, and 1 v?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -228*j + 19611. Calculate g(86).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 894689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369*k**4 + 13*k**2 + 90644*k wrt k?\nAnswer: -4428*k**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4902045 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/12 + 5*v**3\/6 - v**2 + 2*v - 54. Let o = 1 - 5. What is k(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/94381 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87415549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 542917622 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + -150e00?\nAnswer: -150e18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*(-3 + 15\/6). Let v(m) = m**3 + 7*m**2 + m - 7. List the prime factors of v(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -442 and -9.\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 4*b**2 - 3*b - 6. Let m(p) = -p**2 + 8*p + 14. Let t be m(9). Let h be f(t). Solve 0 = -h*z - y + 10, -z - y + 6 = y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.8 - 22.98. What is the smallest value in a, -5, 0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**5 + 115*q**4\/4 + 100*q**3\/3 - 110*q**2 + 947. Determine z, given that m(z) = 0.\nAnswer: -22, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6482901497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*k = s - 266*k - 10, -5*k = s - 10. Let v be (4 + -2)*-1 - -22. What is the highest common divisor of s and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 + 3)*(-2*n - 4*n + 4*n + 2) to q*n + z and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689200*j**2 - 9 - 690050*j**2 + 8.\nAnswer: -850*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201676?\nAnswer: 2, 127, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1093 and 15.6.\nAnswer: 17050.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.22576 or 25\/3?\nAnswer: -0.22576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23906 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57002 = 25*l + 56702 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 24*j + 5. What is l(11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 != 660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/10 - 2*q**2. Let x(t) = -11*t**2. Suppose 2*m = -10*m. Suppose -135*k + 133*k + 6 = m. Give k*x(p) + 5*u(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/12 - -3)\/((-2)\/3). Which is greater: -1\/57 or m?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**5\/30 + n**3\/9 - n. Solve r(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11255, -10575, -9911, -9269, -8655, -8075, -7535?\n\"Answer: -s**3 - 2*s**2 + 693*s - 11945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 0*g)*(92*g**2 - 9*g**3 + 2*g - 34*g**2 - 30*g**2).\nAnswer: -9*g**4 + 28*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15))\/(8\/(-220))*(-8)\/(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9233038, 18466090, 27699142, 36932194, 46165246?\nAnswer: 55398298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2248, -2078, -1796, -1402, -896, -278, 452?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-1 + sqrt(168))\/sqrt(12) + sqrt(14))\/sqrt(7).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, 95, 81, 49, -7?\n\"Answer: -l**3 + 5*l + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/2007, -1, -1\/7, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -18.5. Let q = t + 20. Let d be 8\/6*(-2)\/8. What is the third smallest value in -2\/5, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004087 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, 16, -5 in descending order.\nAnswer: 16, 2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/65)\/((-3)\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = -8. Suppose 3*k = -x + 31 - 3, 2*x - 11 = -k. Let y be (-60)\/(-36) - 6\/k. Put z, 2, y in descending order.\nAnswer: z, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 1367*f - 100584. Calculate p(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 74*j - 2. Calculate v(-1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2 and 125\/92334582?\nAnswer: 92334582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 35*a + 785. Determine d(-26).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-8))\/((-1)\/(-4)). Calculate the highest common divisor of 84 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001207612 rounded to six dps?\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040 = 310*y + 17870 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -0.6. Let p = -5843723\/13 - -449756. Let w = -239 + p. What is the third biggest value in u, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 2 - sqrt(252))**2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v**3 + 3162*v**2 - 31656*v + 80640 = 0 for v.\nAnswer: 32\/7, 6, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {k: 9, g: 6, x: 1, w: 2}.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*v = -1037, 0*h = h - 4*v - 254. Suppose 0 = 6*r - 0*r + h. Let s = 125 + r. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002101120022 (base 3) in base 2?\nAnswer: 100001110111110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -17*o**2 + 14*o + 17. Suppose -5*i - 3*a + 1 = 0, -5*i + 4*a = 3*a - 13. Let d(w) = 4*w**2 - 4*w - 4. Let m(l) = i*g(l) + 9*d(l). Calculate m(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -40*n - 6. Let t(g) = -8*g + 36. Determine t(u(h)).\nAnswer: 320*h + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + -2 - -2 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15143, 15145, 15137, 15113, 15067, 14993, 14885?\nAnswer: 14737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 19*f + 10 + 37*f + 5*f.\nAnswer: 61*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2321431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 4*h**5\/75 - 43*h**4\/60 + h**3 - 63*h**2 + 144. Let w(f) be the second derivative of s(f). Find u such that w(u) = 0.\nAnswer: 3\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1545*b + 13918. Calculate z(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63197 + 17580. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390104 and 870480.\nAnswer: 105328080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111482 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38379 is divided by 186?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 82?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 24 = 4*u. Let h = u + 11. Which is the smallest value? (a) 5\/4 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*o**4 - 10534*o*p + 2388*p + 62484 wrt o.\nAnswer: 268*o**3 - 10534*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 40 - 15. Let a be 130\/y - 20\/(-110). Suppose 14700 = -7*o + a*o. Round o to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 5*l + 16, -o - 6 = 106*l - 103*l - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2251, 677, 5557, 12389?\nAnswer: 21173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsl when three letters picked without replacement from iiiruilullllsiiuslul.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -28 + 91 + -34.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1420160 (base 7) to base 11\nAnswer: 11a639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4129.9152 + -4130. Which is smaller: d or 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-18 - -19)*(-9 - -2)*-77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1672 and 3767776?\nAnswer: 41445536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*w = -146*w - 26256. Is w a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14305 (base 7) to base 3.\nAnswer: 12101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdt when three letters picked without replacement from dfedjjdeetejj.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4130015?\nAnswer: 5, 229, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2 + 7753308*h - 7753306 = 0.\nAnswer: 1, 3876653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u\/((u*u**(-3)*u*u*u*u)\/u))*u))**(3\/7)\/(u**(1\/8)\/u**(-10)) assuming u is positive.\nAnswer: u**(-615\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/15 + -3 + (-72)\/(-20). Solve -i + d*i = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2. Let j(x) = 20*x - 44*x + 23*x. Determine j(d(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -31337, 6, -4 in descending order.\nAnswer: 6, -4, -31337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 7, t: 1, l: 1}. What is prob of sequence tal?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1517911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i - 3 + 3)*(-48 - 49 + 52)*(-4 - 3 + 4) as p + h*i and give h.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.285 - 0.2905. What is h rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15142*a**2*i*w - a**2*w**3 + 8*a*i - 121*a*w**3 + 4*i*w wrt a.\nAnswer: 30284*i*w - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((8\/(-4))\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3823.82 - 3782. Let m = -42 + g. Let x = m - -0.123. Round x to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/220 and 57\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-20) - 4\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - 5*c**4\/24 + c**3\/3 + c**2. Let x be p(3). Let j = -9 - x. Sort -0.4, -2, j in ascending order.\nAnswer: j, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-7)\/(-70)). Put -5, -1, i in ascending order.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -53*m**2\/2 - 3*m - 22. Let o be r(-1). Which is smaller: o or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsasaaoootaoa. What is prob of sequence sst?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9438*x**3 - 9447*x**3 + 28334*x**3 - 9447*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 0. Suppose k = c - 3 - 6. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 7:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90524952 divided by -3233034.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98439.\nAnswer: 3, 11, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43922 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g - 23. Suppose 6 = 18*q - 19*q. Let y(m) = -13*m - 24. Let t(k) = q*y(k) + 5*f(k). What are the prime factors of t(20)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17978108.43 rounded to the nearest ten thousand?\nAnswer: -17980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1947 - -53) + 10 + 6\/(-2). Is -1889 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k**2 + 0*k)*(0*k - 4*k**2 + 0*k) + 2*k**2 - 2*k**2 + 4*k**4.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a + 3. Let u be p(0). Solve 0 = -u*w + 18 - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03240075275 to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/(((-9)\/180)\/((-24)\/(-90))). Solve 0 = -5*f + i*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**4 + 3*u**4 + 3*u**4 + 1982*u - 1982*u - 51*u**4 + (-u + u + 2*u)*(u**3 + 0*u + 0*u) to q*u**2 + k*u + w + c*u**3 + p*u**4 and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -245*o - 29*o + 145*o - 377*o to y*o + k and give y.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 44. Let z(i) = -9*i + 16. Let a(h) = h - 1. Let o(k) = q*a(k) - z(k). Calculate o(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 8 = 5*c, 63*c = 66*c + 3*l. What is the second biggest value in -32, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -9*g + 1906. Let 51*w**3 + 392*w**2 - 75 - g*w - 885*w**2 - 6*w**4 + 430*w**2 = 0. Calculate w.\nAnswer: -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvttvvtstjttjtttttt. What is prob of picking 2 v?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221428 - 58720 - 4204 = -4443*n for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -33*m - 25*m + 846 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = -x - 1, -2*x - 8 = 0. Let t(l) = 2*l**2 + 3 - z*l - 4 + 3. What is the lowest common multiple of 6 and t(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(((n\/((n**35*n)\/n))\/n)\/n))**(23\/2)*n*n*n**7*n*(n*n**38)\/n assuming n is positive.\nAnswer: n**485","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/146326 and -1\/150.\nAnswer: 10974450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -1.4. Let q = -0.43 + 0.03. Suppose 2*p + 76 - 70 = 0, -t + 6 = -2*p. What is the nearest to q in f, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-2\/71))\/((u**(-30)\/u)\/u*u))\/((u**(-32)*u)\/(u*u\/(u\/u**(-26)*u))))**(2\/51) assuming u is positive.\nAnswer: u**(1800\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 3. Let u be c(0). Let l(b) = 2*b**2 + 4*b + 2. Let n be l(-2). Let h = n + u. Solve 2 = 5*w - 2*g - 3, 4*w = -h*g - 29 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46985681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.99 - 49.59. Which is the biggest value? (a) p (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1844*n - 530*n - 22*n - 616*n to x + a*n and give a.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:53 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33098 times -7?\nAnswer: 231686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 - 6*m - 2. Let y be q(-6). Let t be -2*y\/(-4)*0. Solve 0 = u + 5*l - 1 - 25, t = -3*u + 4*l - 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3541 + -103103?\nAnswer: -111044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 14961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 - 125*m + 677. What is r(6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**2 + 1995*t + 114178. Calculate n(-259).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4368\/(-140))\/52*110\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, p: 5}. What is prob of sequence pqq?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -66. Let p = 12 + d. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-34)\/1)\/((-1)\/4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -1448?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1\/4 (c) -4 (d) 3 (e) 0.04455\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1055 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2\/4 + 3665*o\/4 - 30600 = 0 for o.\nAnswer: -765, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 57. Calculate the common denominator of 7\/4 and 1\/19*c\/10.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 626, -5 in decreasing order.\nAnswer: 626, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 16396789.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367 - -416. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*sqrt(76)*-1 - (sqrt(76) + sqrt(76)*2*4)**2)*3.\nAnswer: -18468 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2780 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - b99b?\nAnswer: -b996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4310*q + 24 = 3*u + 2*u + 4306*q, -28 = -2*u - 3*q for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*m**2 - 7911 with respect to m.\nAnswer: 238*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -306*j**4*w**2 - j**2*w**3 - 38*w**3 with respect to j.\nAnswer: -1224*j**3*w**2 - 2*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -28 (c) 0.3 (d) 1\/4 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.0138\nAnswer: -0.00276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9 - (-92352)\/792. Let p = k + -6145\/66. Which is greater: 25 or p?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.174 times -2\nAnswer: 0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 2d5d?\nAnswer: 2d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -2 + (-7 + 7)\/9. Suppose -11 = -5*v - o + 85, 3*v - u*o = 80. Solve -23*n = -v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:39 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -483\/5, -13\/3, -0.3, 0.05, 1, -0.1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 420852330 < 420852331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by -325?\nAnswer: 101\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.009518 + -4.990482. Let d = 1 - 1. Sort 2\/17, d, c in increasing order.\nAnswer: c, d, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 - 3222*a**2 + 931635*a - 35009700 = 0. Calculate a.\nAnswer: 44, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.03336 rounded to 1 dp?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 8 = 4*x, 5*n + 2*x = 330 - 334 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 0*u**4 + 2*u**4 + (u + 2 - 2)*(2*u**3 + 2*u**2 - 2*u**2) - 82*u**4 - 25*u**2 + 25*u**2 - u + u + u**4.\nAnswer: -78*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oosoosooos?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:37 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1182553.\nAnswer: 5\/1182553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 272217 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 1. Let i(m) = 6*m + 6. Let b(t) be the first derivative of -2 + 3\/2*t**2 + 0*t**3 + 3*t - 1\/4*t**4. Let l be b(-2). What is l*r(a) - i(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 6, h: 2, e: 5, w: 1, t: 5}. Give prob of sequence tw.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102994 is divided by 34331.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*m - 2*v + 3758, 0 = -2*m + v + 2501. Suppose -4*g + 1227 = -3*g - 5*p, g + p - m = 0. Suppose 0 = 3*a - g + 188. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00566 to four dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/1180*(-4)\/(36\/(-105)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.4, 8, 9, -0.3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 1. Let z(n) = -1. Suppose -4 = 3*u + u. Let y(x) = u*i(x) + z(x). Let p(h) = h**2 - 4*h**2 + 5*h**2. Give p(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {u: 1, n: 2, s: 7, x: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d**2 + 2*d + 6. Let u be x(-2). Solve 20 = 14*i - u*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 1. Let r be f(-7). Let l = r + 18. Suppose -3*v = -8*v + l. What is the least common multiple of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, j: 1, g: 1, q: 5, m: 2}. Give prob of picking 1 j and 1 q.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1 = -5*z + 19, 0 = 3*q + 4*z - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - a = 6*t + 4, -5*t - a = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1244 - 1243.7. What is the closest to 1\/7 in 5, -2\/15, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*d - 11. Let p(m) = -6*m**2 + 2. Let k(q) = 12*q**2 + q - 5. Give d*k(j) - 5*p(j).\nAnswer: 6*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 14*s - 39. Let q be n(7). Suppose -82*w + 84*w = q. Let i(g) be the second derivative of -g**3\/6 - 2*g**2 + 4*g. Give i(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -242.544 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69, 248, 547, 972, 1529?\n\"Answer: k**3 + 54*k**2 + 10*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 346949482 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u - 16*u + 0*u + (-3 - 1 + 6)*(-4*u - 3*u + 5*u) + 5*u + u - 3*u + u + 0*u - 2*u)*(u + 5 - 5) to i*u + y*u**2 + z and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643272181 to the nearest integer?\nAnswer: 25363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1315\/1828 or 2?\nAnswer: 1315\/1828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025381 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: Solve 108 = 9*v - 6*v - 12*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1083047, -2166096, -3249145, -4332194, -5415243?\nAnswer: -6498292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121 - 18*i + 0*i - 35 + i - 4*i with respect to i.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x**1)\/((x\/(x**(2\/3)*x))\/x*x*x**(-2\/15)) assuming x is positive.\nAnswer: x**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**2\/2 - 2*r + 17. Let n(d) = -9*d + 4 - 1 + 3*d. Determine 3*j(c) + n(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + s**2 + s - 1. Let o be i(1). Suppose -2*l - 5 = 3. Put -5, l, o in decreasing order.\nAnswer: o, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, y: 3, m: 1, g: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a, -5*i + 60434990 = 43*a - 38*a. What is i rounded to the nearest one hundred thousand?\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + w**2)*(-2*w**2 + 0*w**2 - w**2) - 8*w**2 + 8*w**2 - 4 - 2*w**4 to f*w**3 + i*w + r*w**4 + j + p*w**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -2, -4\/5, -6, 5 in increasing order.\nAnswer: -81, -6, -2, -4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(1805\/19)*2 + (-156)\/(-315))*-45.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 149 = 61. Suppose 2*w + 5*w + n = 0. Let q = w - -38. Solve -d - 3*d = -q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = 15, 2*k = -5*j - 43. Let v = 18 + k. Sort 3, v, -5 in decreasing order.\nAnswer: v, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 42 = -2*x - 64, 0 = x + y - 3. Put x, 16, 0.4, 0.02 in ascending order.\nAnswer: x, 0.02, 0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-12) + 2)*(-81)\/234?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**46\/(o**0)**(-43) assuming o is positive.\nAnswer: o**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 41 = -3*a + 535, 4*a - 771 = -3*f. Let z = a - 188. Calculate the smallest common multiple of z and 47.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -663 and 0.5984.\nAnswer: -662.4016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 13*d**4 - 20*d**3 - 7*d**2 + 10*d. Let b(t) = -8*t**4 + 13*t**3 + 5*t**2 - 6*t. Let p(g) = 8*b(g) + 5*v(g). What is w in p(w) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f - 11*f**2 + 0*f**2 + 3*f**2 - 4*f**2 wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4477 - -4466. Let c(v) = -49*v**3 - 11*v**2 - 11*v - 11. Let n(t) = -25*t**3 - 6*t**2 - 6*t - 6. Calculate x*n(s) + 6*c(s).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 938 - 888.7. Round b to zero dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - 535\/25. Let j(q) = q**3 + 22*q**2 + 20*q - 11. Let t be j(y). Is 14 a factor of (16*1)\/(t\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.32016 + 0.2956104. Let w = 0.5044686 + b. Let t = w + -0.48. Round t to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 5, -7, 0.2, 278588?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 52*g + 125 + 34*g + 26*g in the form m*g + b and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 243 = 3*t, 0 = -5*w - 3*t + 119 + 292. What is the greatest common factor of 28 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14674*i - 794929 = -4932*i + 126401 + 215818 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 - (-23 + (20 - 10)). Solve t + 3*t = -3*q - 11, -d*q + 3*t - 18 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605185 is divided by 58?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 61. Let v be (2\/3)\/((-2)\/168). Let p = h - v. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3379002169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54211800610 rounded to the nearest one million?\nAnswer: 54212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + 28 + -72 + 49?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 60 - 30)*(2 + 1 - 1)*(14*m - 26*m + 40*m).\nAnswer: 168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 0, 9, -11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 u when four letters picked without replacement from {p: 1, c: 1, u: 5, j: 9, y: 2}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 32 = 4*d. Suppose -5*o - r = -42, -3*o + 14 = -3*r - 2*r. Find the third derivative of -d*j**2 + 2*j**2 - j**2 + 0*j**2 - o*j**4 wrt j.\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.81 - 80.81. Let o = w - 173. Let m = -252.0000262 - o. What is m rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = -67*y - 6563. Let f be 4 + -4 - (87 - 0). Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 23626 = -3*f - 3*z, 4*f - 16*z - 23664 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 112 - 94. Let s(u) = 5*u**2 + 3*u + 1. Give s(m).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 46\/3295?\nAnswer: 46\/3295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-6) - (3 - 1712\/12)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395928 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 j be (4\/(-4) - -28)\/(48\/(-128)). Let m be 6\/j*10*(-8)\/10. Factor -m - 2\/9*b**2 - 8\/9*b.\nAnswer: -2*(b + 1)*(b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17 + -18)\/((-2)\/6). Let q be (-2)\/(-10) + y\/35. Determine l, given that -2\/7*l**2 + q*l + 2\/7 - 2\/7*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 9*x + 4. Let a be q(9). Suppose a*d + 0*r - r - 193 = 0, d + 5*r = 64. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3321, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0461 + -0.7049. What is u rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 - 312. Let c be -1*(-7)\/g*-20. Let w(u) = u - 9. Give w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(-3*m + 3*m + 2*m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 137 = -161 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343) + (sqrt(343) - sqrt(343)*-2)*1 + sqrt(343)*2*4)**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**3*v**3 - 5*o**3 + 22*o**2 - 12*o*v**4 wrt v.\nAnswer: 6*o**3*v**2 - 48*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Let c(i) = i**3 - 5*i**2 - 3. Let p be c(a). Let d(k) = -2*k**3 + 56*k**2 + 139*k - 2370. Let m be d(29). Are m and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5488909 and 51?\nAnswer: 16466727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496.5011t to grams.\nAnswer: 496501100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 6*o**2 - o - 4. Let w be b(-6). Let t be (298\/30)\/(w\/(-354)). Let u = t + 1768. Calculate the common denominator of 14\/11 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -4*d + m, -2 = -d - m. Suppose 0*p = -4*p + 4. Let a(j) = 0*j + j + j**2 + p - 4*j + 2*j. Let w(s) = -3*s. Give d*w(t) + 2*a(t).\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - a = 6*o - 677, 0 = 2*a + 6. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 17*j + 173. Calculate t(26).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*p**2 + 379 - 379)*(-4 - 6 + 1).\nAnswer: -432*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1645803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53732 divided by -133.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 11\/(-231)*-539 + (-231)\/(-639).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 259*i - 4245. What is the thousands digit of s(74)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*7\/((-14)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 24*n = 63, -25*u + 13*u - 4*n = -13*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 98 - (105 + -24 + -29)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppxx when four letters picked without replacement from {x: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 7. Suppose 2*v - 155 = -3*v. Suppose -2*x + 28 = 4*h, 3*h + v = 4*x + k*h. Solve y = -x*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)\/h)**(-4)\/(h**(1\/2))**(30\/11) assuming h is positive.\nAnswer: h**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(56)\/sqrt(8) + 1)*3*-2.\nAnswer: -12*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 71 + 54)*(-3*j + 6*j - 2*j)*(2*j**2 - 6*j**2 + j**2).\nAnswer: 207*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**6\/10 - 3*m**5\/4 - 3*m**4\/2 + 2*m**3 + 12*m**2 - 7*m. Factor z(g).\nAnswer: -3*(g - 1)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - u + 3 + (3 - 1 - 1)*(1 - 1 - 3*u) - 1071*u - 244 + 532*u + 542*u.\nAnswer: -u - 244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, and 2 e when four letters picked without replacement from {e: 4, g: 1, p: 6, k: 5}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/8))**(3\/19))**(1\/20))**23 assuming j is positive.\nAnswer: j**(69\/3040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*o - 62*o + 138*o as t*o + v and give t.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 323 = 9*l. Suppose l = k + 13. Let b be 1*4\/(-6)*-6. Solve b*z + k + 14 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 36*c + 301. Let z be p(-13). Solve 5*q = -z*s + 5, -q - 44*s + 4 = -43*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519126090 and 735?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -10.957. Let u = g - 0.333. Let v = u - 0.11. Put 3, -3, v in decreasing order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = -19*s + 24 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 + 121 - (18 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -3\/55, -4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s - 118. Let k be j(-12). Find the third derivative of 309 - 59*z**5 - 95*z**k + 307 - 616 wrt z.\nAnswer: -3540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 0*f - f**2 + f + 2 - 2 + 2*f**2 + (3*f + 0*f + 0*f)*(f + 3*f - 3*f).\nAnswer: 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqkqkkkkkqkkk. What is prob of picking 3 q and 1 k?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*a + 28, 2*a + 40 = 5*z - 3*a. Let o be 1 + 8\/16*8. Suppose -c + 5 = 0, 0 = -2*r + 21*c - 20*c + o. Solve -z*s = s - 4, r*l + 14 = -s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2*b**6\/3 + 4*b**5 - 8*b**4 + 16*b**3\/3 + 19. Factor k(o).\nAnswer: -4*o**2*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 9044 = 26*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (sqrt(5) + sqrt(5) + 0)*5) + 2 + 0)*-2.\nAnswer: -80*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 6. Let c = u + -6. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2108304*p**3 - 164493208*p**2 - 31940401*p\/9 - 57434\/3.\nAnswer: -(p + 78)*(4356*p + 47)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 2 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7116 + -99511\/14. Find the common denominator of 39\/526 and y.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/6)*y)**38*(y\/(y\/(y*y**(-7\/4)))*y*y)**(1\/91) assuming y is positive.\nAnswer: y**(89923\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1932, 0.3, 5\/796?\nAnswer: 5\/796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 76 = -11*s, 0 = 2*s + 5*s + 30*j - 25*j - 17 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -2*i + 4*i. Suppose 0 = f + 4*t + 4, i = 3*f - 5*f - 3*t - 13. Let j(c) = c**3 + 8*c**2 - c + 20. What is the units digit of j(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 6. Let v(m) = -m + 1. Let j(g) = l(g) + 6*v(g). Let n be 4\/5 + (-92)\/(-10). Let d(y) = -8*y**2 - y + n*y**2 + y. Determine d(j(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2 + 11*n - 7. Let r be c(9). Let g(k) = 13*k**2 + 7*k - 9. Let v(b) = 4*b**2 + 2*b - 3. Determine r*v(a) + 2*g(a).\nAnswer: -2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 4. Let u(h) = h**3 + 8*h**2 + 3. Let k be u(-8). Suppose -k = -z - 7. What is the units digit of n(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*i - 40*i + 25*i as g*i + w and give g.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 29616*h**2 - 593*h - 16. Let x(y) = -7446*y**2 + 148*y + 4. Let m(j) = -2*l(j) - 9*x(j). What is the second derivative of m(k) wrt k?\nAnswer: 15564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = 0, -9 = 2*t + 4*q + 19. Let k = 0 - t. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppopqolltplllq. What is prob of picking 1 q and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjjwjjwjwjwjjww. Give prob of picking 4 j.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:36 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (504\/(-20))\/((-52)\/((-7800)\/(-90)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 9*l + 10. Let h be f(5). What is the highest common factor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1635\/4*(4 - -160). Let n = 36285 - j. Let y be n*(-2 + 812\/6). What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6102 (base 9) to base 10\nAnswer: -4457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -27. Let u = 61.9 - f. Is u at least as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2 + 2)*(4 + 2 - 3)*(1 + 2*a**2 - 1).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4493, 8989, 13485, 17981, 22477?\nAnswer: 26973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 725208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101110 (base 2) to base 11.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740958513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -38 in decreasing order.\nAnswer: 4, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 - l - 2. Let k(b) = 3*b**2 + b + 2. Calculate -6*d(p) - 7*k(p).\nAnswer: 3*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -52.06. Let v = h - -1.76. What is the closest to -1 in -2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1040 (base 6) to base 13\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 971350793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:48 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 15) + 119 + -123 + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 24 = -25*p, 4*m - p = -10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3314, 2, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -272\/5 >= -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 94 (b) -0.027 (c) -3\/8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466 divided by 481337?\nAnswer: -1466\/481337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31290120 and 441.\nAnswer: 1533215880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -459, -1088, -1969, -3102, -4487, -6124?\nAnswer: -8013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 459\/36)\/((-5)\/120 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r - 5. Suppose -10*o = -8*o - 6. Let n be i(o). Calculate the lowest common multiple of 21 and (-14 - -2)\/(0 + n + -2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3\/2 - 93*v**2\/2 - 87*v = 0. What is v?\nAnswer: -29, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175 + 101. Let q = d - -74.5. Let b = -8 - -9. What is the smallest value in b, 0, 0.2, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1194299?\nAnswer: 1\/1194299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/5 + 604453*w**3\/5 + 2417828*w**2\/5.\nAnswer: -w**2*(w - 604457)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 0*w + 2*w)*(-372 - 210 + 52) as r + j*w and give j.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 397*w**2 - 1986*w - 9692. Calculate q(402).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202328689?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -359 in -2\/15, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 13*x**2 - 32*x - 933. What is the tens digit of k(65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*-0.019\nAnswer: 0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22f92b + -4?\nAnswer: -22f92f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1531212677?\nAnswer: 1531212677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Suppose -2*z + 111 = i*w, -3*w + 111 = -3*z - 2*z. Calculate the remainder when w is divided by 0\/(-10) + (-1)\/(-1) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.92 - 3.181. Let o = 0.39 + r. Let z = 0.12 - o. Round z to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x**2 - 21*x**2 + 831*x**2.\nAnswer: 864*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**2 - 26 - 265 - 13*m**2.\nAnswer: 2*m**2 - 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4190.83247 to 1 decimal place.\nAnswer: 4190.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**3 - 3*l**2 - 7*l + 3. Let u(d) = 26*d**3 + 8*d**2 + 22*d - 10. Let c(h) = -3*u(h) - 10*z(h). Factor c(t).\nAnswer: 2*t*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 1 k when three letters picked without replacement from quakusqwaaqa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000825 rounded to 7 decimal places?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 + 938 + 906 - 3*a - 76 + 1620.\nAnswer: -3*a + 3727","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21001210020 (base 3) to base 14.\nAnswer: -38987","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 49. Let d(j) be the third derivative of 0 - 2\/9*j**3 + c*j + 1\/12*j**4 - 1\/90*j**5 + 2*j**2. Factor d(i).\nAnswer: -2*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432 + -214442?\nAnswer: -220424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (3 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 38*v**2 - 5*v**2.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:12 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 95, 193, 301, 425, 571, 745, 953, 1201?\n\"Answer: t**3 - t**2 + 94*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/28*-4)\/3. Is -1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(170)*-3 + (sqrt(170) + 2*sqrt(170)*-1 + sqrt(170) - sqrt(170)) + sqrt(170))\/(((2*sqrt(70) + sqrt(70))*2)\/(sqrt(175)*-2 - sqrt(175))).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 140*i - 11. Let x(s) = -142*s + 13. Let f(z) = 2*d(z) + 3*x(z). Differentiate f(q) wrt q.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*c + 16, 10*c - 14 = 7*c + u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9993*y + 39976*y - 9994*y - 9989*y - 9998*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2559*f**3 - 672*f**2 wrt f.\nAnswer: 15354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/30)\/(-7 - 328\/(-40)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88787960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - s + 29911 = 29923, 3 = 2*l + 3*s for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5766 - 5760. Solve -2*h + 9*v - 7*v = -j, 3*h - v - 13 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-11\/6)\/f*f*f\/f**17*((f\/(f\/(f**23\/f)*f))\/f)\/(f**(-3\/5)\/f) assuming f is positive.\nAnswer: f**(143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/60)\/((-123)\/328)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 9*c + 9. Does 9 divide g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -46*a + 1004. Calculate s(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 504 = 6*v. Suppose 3*q + 5*w = 6*q + 56, 5*q + v = -w. Let h = q + 35. What is the highest common factor of h and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 10 in decreasing order.\nAnswer: 10, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-15) + ((-119)\/(-20))\/7. Which is the biggest value? (a) -0.5 (b) z (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*(c**(-2)\/c)\/c))**(2\/17)*(c**0)**(5\/3) assuming c is positive.\nAnswer: c**(10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 52\/10 - 1\/5. Suppose 3*a = -2*q + a + 84, -w*a = -4*q + 132. Suppose 16 = -4*l, 0 = -4*x + 2*x + 4*l + q. Solve x - 1 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31920, -31916, -31910, -31902, -31892, -31880, -31866?\n\"Answer: v**2 + v - 31922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**2*o - 17*d*o - 3*d + 2*o + 552 with respect to d.\nAnswer: -6*d*o - 17*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:05 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-11 + (31 - 10) - (-5 - (-1 + -6))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/12 + m**3\/6 + m**2\/2 - 1231*m. Let f(o) = 46*o**2 - 22*o - 22. Determine 44*b(x) + 2*f(x).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112101 + 1120?\nAnswer: 1120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 63*y**3 + 135*y**2 + 69*y.\nAnswer: -3*y*(y - 23)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1650285594 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:29 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -13. Suppose 4*s - 36 = -2*x, -h*x + 4*x + 6 = 2*s. Solve 0 = -s*c - 1 + 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011100010110 - 1000011000?\nAnswer: 1001010011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttrrtwtttrrrtrt. What is prob of sequence trw?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 470, 1848, 4156, 7406, 11610, 16780, 22928, 30066?\n\"Answer: 2*s**3 + 453*s**2 + 5*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 19. Let b = 0.2 - 0.1. Let n = 0.2 + -0.3. What is the nearest to n in w, b, 2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11450 and 35959870?\nAnswer: 179799350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*s - 1. What is s rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 137?\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*n - 22 - 3, 4*n - 20 = 5*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 6*z**5 - 2*z**5 + (z**3 + z**2 - z**2)*(-z**2 - 10*z**2 + 4*z**2) - 4*z**5 + 2*z**5 + z**5.\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 62*s**2 - 4718*s + 433. Calculate v(76).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*a + 6*a - 55, 55 = 4*a + 3*d. Solve x - a = 3*v, x + 3*v = 1 - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294.323 + 294. Let i = r + 0.123. What is the nearest to -1\/5 in 0.1, i, 2\/9, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 189\/45 - (-1)\/(-5). Suppose 2*y + 4 = -s. Is 2 - (-91 + 6 + y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824 = -7*x - x. Calculate the remainder when 118 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48854 and 2491554?\nAnswer: 2491554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -62. Let c be 0*v\/(3 + -5). Suppose c = -4*i + 2*i - 2*i. Which is bigger: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -174252184.95 to the nearest ten thousand.\nAnswer: -174250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 232*h**5\/5 + h**3\/3 - h**2 - 505*h - 854. Find the second derivative of b(u) wrt u.\nAnswer: 2784*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/54 and 8398\/(-2340) - (-1)\/5?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n - 112. Give l(-4).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6848?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*c - c - 2*c)*(3*c - 2*c + c) - 2*c**2 - c**2 + 2*c**2 - 4*c**2 - 4*c**2 + 6*c**2)*(-2*c + c + 0*c) as y*c + f*c**2 + m*c**3 + s and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -35.99966. What is g rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -27 (b) -11 (c) 7\/26 (d) 3 (e) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(108\/(-3))*-3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4596 - 4076. What is the highest common divisor of i and 208?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 e when four letters picked without replacement from paeaeeeeeebpe?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(147)\/sqrt(3))\/sqrt(7).\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -47 (b) -0.24 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.075 + 210.075. Let k = w + -209.999778. Round k to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5434 - -5?\nAnswer: 8.5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10947.\nAnswer: 3, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1291*l - 701*l - 316*l + 0 + 0 - 2*l - 2*l + 2 - 2 + (1 + 3 - 2)*(-4*l - l + 3*l).\nAnswer: -2316*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70280293?\nAnswer: 70280293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 288.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m\/m**1*m*m)*m)))\/m*m**(-4)*m)\/((m*m**(1\/9))\/m**(6\/5))*m\/((m**(-9)\/m)\/m)*m**(6\/5)*m**(-2)*m*(m**7*m)\/m assuming m is positive.\nAnswer: m**(688\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6079 + -6075. What is the second smallest value in -4, -18\/7, s?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28462 + 28462 + 103*k**2.\nAnswer: 103*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 11}. What is prob of sequence nfn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 6. Let h be 9 - (3 + 0\/u). Let q(y) = y**3 + 6*y**2 + y - 25. Let s be q(-4). Solve g + 3*j + 2 = 0, -5*g + s*j - 4 = h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66068.82kg to milligrams.\nAnswer: 66068820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 43. Let v be (1 - 19\/m)\/(1\/1012500). Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -1.1. Let k be 8\/10*(-5)\/2. What is the nearest to n in k, 1\/6, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = 5*k - 7*y, 0 = -5*y + 5. Let p be k\/((-7)\/2) - (-874)\/322. Which is the nearest to -0.2? (a) 2.7 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.96726*395.\nAnswer: 777.0677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10119705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.173\nAnswer: 0.1211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 2}. Give prob of picking 2 p and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 0.077538.\nAnswer: -0.122462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87 - -750b0?\nAnswer: 75147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 783, 899, 1015, 1131, 1247?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3941179 to the nearest integer?\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203023300 + 3?\nAnswer: -203023231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 29*v**3 + 2901*v**2 + 100*v - 106. Determine i(-100).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -269, 393 in increasing order.\nAnswer: -269, -11, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -671, -593, -499, -383, -239?\n\"Answer: j**3 + 2*j**2 + 65*j - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.124*-1\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(792)*2 + sqrt(792))\/(sqrt(14)\/(-4*sqrt(14)\/sqrt(2))).\nAnswer: -312*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r - 8*r + 10*r in the form z*r + n and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42412018 - -10.\nAnswer: 42412028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 461 = 2*s, -s - 3*m + 220 = -23. Suppose t + t = -s. What is the remainder when (t\/(-15))\/(1\/5) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 161) + 10\/(-5). Let f = s + 182. Suppose -3*h - q + 32 = 4*q, 2*h - 36 = 4*q. Calculate the greatest common factor of f and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/2 - 3\/10. Put w, -0.5, -1\/4 in decreasing order.\nAnswer: w, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-21)*17\/(255\/(-105)))\/1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410527335 divided by -3.\nAnswer: 136842445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 52, -9, -3, -2\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492347450 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26419994 to the nearest integer?\nAnswer: 5140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655607 is divided by 322?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, m: 1, n: 1, b: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 123, 0.3, 0.11, -0.4, 1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*h**4 - 24*h**4 + 66*h**4 + (h**3 - 4*h + 4*h)*(-2 + 2 + h) + h**4 - h**2 + h**2 + (-4*h + 4*h - 2*h**3)*(0*h - 3*h + 2*h) + 4*h**4 + h**4 - 2*h**4.\nAnswer: 99*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -89. Let m = -34 - g. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -20*a**4 - 29. Let l(p) = -80*p**4 - 117. Let s(f) = 2*l(f) - 9*o(f). Find the first derivative of s(t) wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 1\/10 (c) 5 (d) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112965 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -r + 3*a + 38, 3*r + 4*a + 14 = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0.59, -3\/1792 in descending order.\nAnswer: 28, 0.59, -3\/1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.031 + -0.169. Which is the closest to q? (a) 5 (b) -13 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -111, 56, -2, 6.\nAnswer: -111, -2, 0, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6327897 and 1.\nAnswer: 6327898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*l - 6*l. Solve -12*y + 1 - 13 = l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 5 (c) -133 (d) -4 (e) 13\/23 (f) -28 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -7. Differentiate 2*r**3 - k*r**2 + 3*r**3 - 18 + 3*r**2 wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*k - 12 = a, 4*a - 3*k = 19. Suppose -74 = -a*w - 4*g - 14, 0 = -4*w + 3*g + 53. Solve -3*h - x = w, 0 = -5*h + 2*x - 15 - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*j**4 + 8*f*j*z + 507*f*z - 8*j*z - 11*j + 4*z wrt j.\nAnswer: 8*f*j**3 + 8*f*z - 8*z - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/2582447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*l - 15*l - 1 - 21*l + (-1 + 1 - 1)*(2*l + 0*l + 0*l) + 3 - 3 - l.\nAnswer: -10*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 8)\/10 - (-2849)\/20. Let k = j + -3971\/28. Which is the third biggest value? (a) -0.5 (b) k (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 747453, 1494909, 2242365, 2989821?\n\"Answer: 747456*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 216.08823\nAnswer: -21.608823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7940674*m**2 - 3670*m + 200?\nAnswer: -15881348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -61. Let j = y - 10. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(2\/13))\/y)\/y*y**(2\/13))\/((y**(5\/4)*y)\/(y**(7\/3)\/y)))\/((y*y**1*y)**(-4\/5)*(y*y*y**(-4))\/y*y\/y**(-5\/6)) assuming y is positive.\nAnswer: y**(509\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q - 11*q + 96 + 28*q - 28.\nAnswer: 2*q + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(224)\/(2*sqrt(8)) - (sqrt(28) - sqrt(84)\/sqrt(3))*-3)\/(1*sqrt(196)*-2 + sqrt(196)).\nAnswer: -sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 295.\nAnswer: 88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 1 + 35 + -36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2223, -17796, -60069, -142392, -278115?\n\"Answer: -2225*j**3 + 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 594623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j - 2. Let q be b(2). Suppose c - q*c = -84. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8037 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f - 2. Determine n(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11019*k + 11031*k - 127824. What are the prime factors of k?\nAnswer: 2, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:22 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 3*x - 2*d, 4*x + 5*d - 2*d - 329 = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - -5*sqrt(84)*-1)\/(sqrt(24)\/(sqrt(6)\/sqrt(3))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-8)\/(r**(5\/2)*r*r\/r**7) assuming r is positive.\nAnswer: r**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 2*n**3 + 0*n**3 + (-3*n**2 + n - n)*(-n - 3*n + 6*n) + (-2 - 1 + 1)*(-n**3 + 0 + 0).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 264 = 6*d + 65 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 751, 3, -52, -1, -4, 1 in descending order.\nAnswer: 751, 3, 1, -1, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 3*y - 4. Let i be x(-4). Let h(q) = -2*q - 5 - 1 + 3 + i*q**2 + 83*q**2. What are the prime factors of h(-1)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-119991)\/2726 - -44)*-290.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 3. Let j be k(3). Let l = -10 - j. Sort l, 2, 4 in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, -12, 4, -2, 18 in ascending order.\nAnswer: -12, -2, 2, 4, 18, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4753764*0.2\nAnswer: -950752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 16*h**2. Let m = -29 - -19. Let a(c) = -3*c - 42. Let r be a(m). Let j(v) = -v**2. What is r*j(i) - u(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 35\/4. Let w = 1 - -2. Suppose 0*u + 12 = -w*u. Which is the nearest to r? (a) u (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46375 is divided by 1224.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/504 and -107\/12186.\nAnswer: 341208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -13. Let f = 0.0825598 - 8.0825298. Let j = f + k. What is j rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2455215, -4910411, -7365607?\n\"Answer: -2455196*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlmymoolmzzoolmfzoo. What is prob of picking 1 f, 1 o, and 2 m?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3 - 36*t - 7*t**3 - 8 - 2 + 9*t**2 + 8*t**3 to q + k*t**3 + w*t**2 + g*t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2 - k - 110. Let s be y(0). Let p be ((-3)\/(-2))\/((-3)\/s). What is the greatest common factor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 176471 + 23992 + 169825 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -34*b - 966. Let k = -23 - b. Calculate the greatest common factor of 529 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39098473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -68, -60, -46, -20, 24, 92?\n\"Answer: h**3 - 3*h**2 + 10*h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = u + g + 68, u + 19 = -2*g for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + -aa5?\nAnswer: -ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 5*v - 3*v)*(-4 + 4 - 5)*(8*v - 5*v - 4*v) + (0*v + 0*v - v**2)*(-8 + 8 + 6).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 855 and 495?\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 7*x**2 + 7*x + 20. Let g be w(-8). Let l = -55\/2 + g. Which is the biggest value? (a) -0.4 (b) -8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 7:11 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/(-4))\/(-7)*6. Suppose 5*w - 20 = k*s, -w - 4*s + 12 = 2*w. Suppose w*f = 1588 - 248. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (1 + -1)) + 100. Let v(p) = -p**3 + 7*p**2 + 10*p - 11. Let t be v(8). Suppose 27 = -t*m + d. What is the remainder when 41 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/90*(-351)\/(-884)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3140.909 kilometers to centimeters.\nAnswer: 314090900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69447 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*7365.\nAnswer: 125205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:57 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 5\/27*v**3 + 0*v**2 + 0 - 122*v - 1\/90*v**5 - 2\/27*v**4. Determine g so that q(g) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*y - 521, 113 = -3*y + 2*y - 5*v. Let o = y - -132. Solve 0 = o*k - 5*b + b + 8, -b = k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 254804080 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1093834 divided by 156262.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40420705.777 - -0.1.\nAnswer: -40420705.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 10:39 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 2*k**4 + 37 - 124*k + 63*k**3 - 16 + 252*k - 129*k to o*k**4 + t*k**3 + u + d*k + i*k**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24382633 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-64)\/(-24))\/((-6)\/9). Find the common denominator of (u + 36)*1*(-10)\/(-132) and 51\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1179559 and 23124?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*n**4 + 1004 - 1004 + (-31 - 7*n**2 + 31)*(-6*n**2 + 3*n**2 + 2*n**2) + n**4 - n**3 + n**3.\nAnswer: -58*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 5 = 35. Suppose -5 = -z*t - 13, 0 = -3*d - 5*t + 772. Is d a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.055? (a) -2 (b) 27 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 319 divided by 22387\nAnswer: 319\/22387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 5 (b) 3\/7 (c) -0.03 (d) 3.5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-399)\/(-1) - (-15 - -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 478968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 50. What is the highest common divisor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/d**3)\/d*d*d**(3\/8)*d assuming d is positive.\nAnswer: d**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 147\/18 + (-10)\/60 - 7. Sort -3, p, -1, -14 in increasing order.\nAnswer: -14, -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19622257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11220*c*s**2 - 327*c*s*z + 4*s**2*z - 152*s**2 + 1908*s*z wrt c?\nAnswer: -11220*s**2 - 327*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*y + 12, -4*x + 2*y + 0*y = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 4. Let d be y(-3). Suppose -8*q - 2 = -9*q. Solve -q*g + 2*r = 0, 0 = -g - 7*r + 3*r - d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9360000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2204 and 6?\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1103232 and 119\/48?\nAnswer: 1103232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.1, -10, 4\/5047?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3206*t**2 - 2395. Let a(v) = -14*v**2. Give i(a(l)).\nAnswer: 628376*l**4 - 2395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-2 + -3))*9. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - m**2 - 5*m**2 - 10 + m**4 as g + x*m**4 + s*m + h*m**3 + q*m**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m - 90. Suppose 0 = -5*g + 67 - 312. Let v = m - g. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2657 - 199. Let r = k + 373. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -3, -0.5, -42?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 14. Let c = 31 + -28. Let j(y) = 0 + c + 111*y - 113*y. Calculate j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-35)*(-75516)\/1116.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616475 is divided by 808227.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.108834.\nAnswer: 2.108834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/5, 2, -1\/3 in increasing order.\nAnswer: -12\/5, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -7. Let t = -147 + 142. Which is the third biggest value? (a) -1\/2 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.049 + 1.039. Let f = -0.01 - l. Which is the closest to f? (a) -5 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85237629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/42*(-30)\/620.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3998146 is divided by 249874.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 52 = l - 5*g, 4*g = 3*l - 175. Suppose -l - 75 = -6*v. Suppose v*k - 736 = 14*k. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -0.13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -21 + (-15 - 3) + 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -19. Suppose 3*c - 8*c + 25 = k. Suppose -2*f + 7*f + 4*h - 2 = 0, 0 = c*f + h - 8. Let y(t) = t**2 + 1. Give y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgwwucxluxxuwgggux. What is prob of picking 2 x and 1 l?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 48 = -v. Let g be (3 - 56\/v)*-3. Solve -5*l + 4*p - 15 = -p, l = -g*p - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -13*t + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*g + 2*n, 13*n = 11*n - 2. Solve 3*w = -g*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c - 301 + 389 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-60)*(-525)\/30)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i + 3. Let k(o) = -2*o - 14. Let q be k(-8). Let c be l(q). Suppose 0 = c*v - 13*v - 16. Solve -5*w = -6*w - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582\/(-54) + 11 + (-7 - 3500\/(-288)) - 6.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 18. What is the remainder when 19 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 7}. Give prob of sequence mimm.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:21 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -10, 1, -2, -89, -1 in descending order.\nAnswer: 1, -1, -2, -10, -89, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 118046 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) + (-25)\/9. Let i(z) = 3*z**2 - 6*z + 3. Let q(l) = 2*l**2 - 5*l + 2. Let h(m) = y*i(m) + 4*q(m). Factor h(b).\nAnswer: -(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*n - 9*n - 3)*(-n**3 + 4*n**3 + 0*n**3).\nAnswer: -6*n**4 - 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-22)\/(-6))\/(8\/24) is divided by 3 - (-5 - (-1 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 7*b**2 + 3*b - 3. Suppose 4*a + 25 + 19 = 4*k, a = -3*k - 19. Let r = -18 - a. Is 16 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1338 + 14716\/11. Which is the second biggest value? (a) i (b) 0 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 8*w**2 + 4*w + 5. What is j(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 493, -8 in decreasing order.\nAnswer: 493, 5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 (base 9) in base 12?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -197*y - 198. Does 12 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2317608 and 16.\nAnswer: 4635216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*2*(sqrt(320) + 3) + -4 + sqrt(320) + (sqrt(320) + 0 - sqrt(320)) + 0).\nAnswer: -200*sqrt(5) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.7. Let u = 24.9 + -14. Let j = u - 11.4. Sort j, 2, v in decreasing order.\nAnswer: 2, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(4917\/2682)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -122, -172, -222, -272?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15141 and -104961233651?\nAnswer: 104961248792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12727 and 121?\nAnswer: 139997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -78.64, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/15 + 11*i**4\/8 + 7*i**3\/6 - 1600*i**2. Let f(v) = -2*v**2 + 17*v + 4. What is 7*f(s) - 4*z(s)?\nAnswer: 2*s**2 - 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3.9. Which is the second biggest value? (a) -0.3 (b) 10 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-635)\/(-127))\/((-2175)\/10)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let v be 4 - (-2 - (-1 + 2)). Suppose 15 = v*p - 2*p. Let t(l) = -p*l**2 - l**2 + 3*l**2 + 0*l**2. Determine t(n(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x - 16. Give h(7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 13*f + 12. Is 3 a factor of a(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18696 and 38.\nAnswer: 18696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*v + 86 = 0, -r + 5*v + 17 = -19. Suppose 3*j - t = 44, 2*j - 3*t - 50 = -16. What is the remainder when r is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -123, -176, -235, -300?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23 - 12*h - 17 + 27. Let d be t(-5). Suppose -4*k = -3*j - 0*k + 69, 3*j + 4*k = d. What is the lowest common multiple of 15 and j?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) 3\/7 (b) 0.21 (c) 4\/3 (d) 0 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1.1 (b) -17 (c) 3 (d) 2 (e) 7 (f) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(130\/(-24))*1989\/1530.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.21981*-1.8\nAnswer: -2.195658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 497518 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*v + 30, -9 = -5*v + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 + (1 - (2 + -3) - 0 - 24)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 65. What is the common denominator of ((-4)\/(-10))\/(j\/460*1) and 21\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -754467*w**6 - 9*w**2 + w + 2480?\nAnswer: -90536040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3379)\/(-872) - (-1)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**3\/6 - l. Let n be 2 + (-1)\/(-2)*2. Let f(r) = 3 - 2*r - n. What is j(f(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-450)\/(-26250) + 99\/210?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137879.\nAnswer: 7, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1165 divide 329434040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {q: 7, o: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 67583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 275.329 - 275. Round f to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054344 rounded to 4 decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12940, -12946, -12956, -12970?\n\"Answer: -2*u**2 - 12938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -37\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 10*j**5\/7 + 8*j**4 + 86*j**3\/7 + 16*j**2\/7 - 24*j\/7 = 0.\nAnswer: -3, -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/417249 and 127\/444?\nAnswer: 1668996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9309 divided by -300.\nAnswer: -3103\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13776 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 + 68. Let j = v - -80. Which is the closest to 0.1? (a) j (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f + 53*f + 2 = 5*l, 4*l = 0. Let w(o) = 6*o**3 - 4*o**2 + 3*o**2 + 0 + 5*o - 2. What is the tens digit of w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - -1.1. Suppose 2*y - 22 = 4*j, -3*y = -4*j - 10 - 13. Which is the second smallest value? (a) -4 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*r + 61*r + 42 = 0. Suppose 2*m + 5*p = 120, 9*p - r*p + 269 = 5*m. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681573.\nAnswer: 3, 227191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139461007 divided by 7.\nAnswer: -19923001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is df53a (base 16) in base 3?\nAnswer: 1201110210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/178*1110\/(-555)?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*x - 1 = 21, -y - 2*x = 10. Is 43 a factor of y\/6 - ((-253)\/3 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2992986 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 - 8*i**3 - 5*i**3 - 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.11? (a) 0.14 (b) 4 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/5*18\/(-27)*7\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 9 + 25. Let m(j) = j + 23. Let l be m(f). Solve -3*s - 20 = 2*o, -l = s + 3*o + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 15. Is 4422\/l + 48\/112 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1688)\/280 + 33\/(-231)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*x**3 + 992906*x**2 - 2308096*x + 272998 = 0. Calculate x.\nAnswer: 1\/8, 11\/5, 12409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u + 428 = -3*j, 5*u + 3*j - 508 = 0. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316662*t**2 - 525139.\nAnswer: -633324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*l - 7. Suppose l*q = q + 7. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -16 - 19 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1123?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14159, 14187, 14215, 14243?\n\"Answer: 28*q + 14131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 11*m - 5050. Does 61 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 + -3 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1576 - 881. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -56\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - -7) + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4895*i*t**4 + 651016*i + 7*t**4 wrt t?\nAnswer: -19580*i*t**3 + 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -32602782?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60983062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 18*j**2 - 7*j - 128. Let p be a(-18). Suppose 4 = -l + 5*q, 2*l - 3*q = -0*q - 1. Sort -3, 8, l, p in decreasing order.\nAnswer: 8, l, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*k - 2910*a**2 - 118686*k with respect to a.\nAnswer: 2*a*k - 5820*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/7 - 48*m**2\/7 + 48*m\/7 + 320\/7.\nAnswer: 4*(m - 10)*(m - 4)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:15 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 61263.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -24, 3, 17, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33155359\/101556 - 9141\/28. Find the common denominator of v and 47\/81.\nAnswer: 32643","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-6) - 156226\/4. Let c be y\/(-215105) + (-8)\/44. Let t = 58649\/62576 - c. What is the common denominator of -83\/20 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -762359 divided by 58643\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4326, -18342, -41702, -74406, -116454, -167846, -228582?\n\"Answer: -4672*o**2 + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 - 29*l + 7. Let s be r(-6). Which is the fourth biggest value? (a) s (b) 2 (c) 0 (d) -35 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23125651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(300))**2 - (-1*sqrt(3) + -5)**2.\nAnswer: -10*sqrt(3) + 1172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1602 (base 7) to base 3\nAnswer: -212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2. Let n be m(-4). Let r = 236159 - 236130. Solve r*w = 31*w - n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1981 and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -43207 * 0.05\nAnswer: -2160.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/18 + (-14)\/6. Find the common denominator of ((-58)\/22 - p)*4 and 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583 - 539 + 2*k**2 + 1354 - 481.\nAnswer: 2*k**2 - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51825816 divided by -1233948.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 60 = 3*b. Let c = b - -11. Let g = 1 - c. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769893108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-198)\/(-393)) - (-4 + 2). What is the nearest to 0.1 in 0, -2\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*(-2)\/(-9)*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732*p - 10*p**3 - 732*p.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74014550?\nAnswer: 2, 5, 1480291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/7027685 and -143\/1050.\nAnswer: 210830550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b7 + 3?\nAnswer: 4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*u = -146, 2*r - 4*r + 64 = -2*u. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:36 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.07 (b) 0.1 (c) -15 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -33. Let a be 6\/s - (-162)\/21. Find the common denominator of -121\/6 and (-6)\/30*(-205)\/a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 10, 34, 68, 112, 166, 230?\n\"Answer: 5*v**2 - v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 26412*m**2 - 4*m. Let t(x) = -x**2 + x. Let u(k) = 12*t(k) + 4*y(k). Let a be u(4). Let i = a + -350160. Round i to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-3 - -1) + 1086 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -34. Let z be -1 + r\/8 + 1. Which is the closest to 2\/5? (a) -5 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(242) + -3 + (sqrt(242) - -1*sqrt(242)) + sqrt(242) - (sqrt(242) - (-2 + sqrt(242)*-1))))**2.\nAnswer: -1980*sqrt(2) + 8937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h + 18 = 6*v + 38*h, -5*h = -3*v + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnntggmgzg. Give prob of picking 1 m, 1 g, and 1 n.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j**(-3))\/(j**(3\/7)*j**(2\/9)) assuming j is positive.\nAnswer: j**(-293\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5457*h + 11 - 4 - 5745*h.\nAnswer: -288*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 26*r**2 - 365*r + 16. What is v(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101101 - 101?\nAnswer: -1001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -14. Find the first derivative of z*n - 5*n + 18 + 5*n wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**3\/5 - 177*r**2\/5 - 54*r\/5 + 27 = 0. What is r?\nAnswer: -1, 3\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -645?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 30895.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.75*-5.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 37. Let b be i(-16). Suppose -3*o - q - 1 + 14 = 0, 3*o - q - b = 0. Let j(k) = -k**2 + k + 8. What is the least common multiple of o and j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1715040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = -3*q. Suppose -q*k + h = 45, -4*h + 15 = -k + h. Let y be 1 + (-5)\/(k\/6). Solve 3 = -3*x + y*o - 6, 1 = 5*x - o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -541 divided by -383\nAnswer: 541\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3977.8 + 397254828.\nAnswer: 397250850.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 134?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1327, 2464, 3601, 4738?\nAnswer: 5875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = o - 24, 2*o - 78 = -0*o + 2*h. Calculate the common denominator of 13\/16 and -1 - 2*(-109)\/o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + -0.12. Let l = 31 + -35.2. Let t = i - l. What is the smallest value in t, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9246071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 12 - 9\/9. Let z = 48 + -46. Put -2, z, 0.4, t in decreasing order.\nAnswer: z, 0.4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*w = 73*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000175 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + (-25 - (-25 + 11)) + 7 - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*v - 4853 - 1268 = 1463 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23212080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u + 15. Let c(x) = 2*x + 3 + 10 + 1 - 17. Let a be c(u). Is a at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:01 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (7 - 12) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -0*s. Let t be (8\/(-16))\/(s\/16). Let c(q) = -q**3 + 4*q**2 - 3*q + 5. Determine c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 0 + 0 + (495*t - 992*t + 11 + 496*t)*(0*t - 2*t**2 + 0*t).\nAnswer: 4*t**3 - 22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 3*j**2 + j**2)*(2 - 2 + j + (-1 + 2 + 1)*(178*j - 9*j + 84*j)).\nAnswer: 507*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106565 is divided by 279?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/56)\/(3179\/(-2312))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/2*(-27 + 2701\/74)\/19.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37.5 - 9.5. Let v = b - -46.99999834. What is v rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) 152821 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13403570.\nAnswer: 2, 5, 1340357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - g**2 + 3*g - 90. Calculate y(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**6\/135 - 4*u**5\/45 + u**4\/6 + 2*u**3\/3 - 223*u. Solve z(y) = 0.\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4567 + -4218. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (217\/(-35))\/(((-36)\/600)\/(45\/150))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 5*u = 2*l + 1481, -l + 374 = 2*u. Let i = l - 252. Suppose i + 43 = f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(1\/9))*t*t\/t**(-7) assuming t is positive.\nAnswer: t**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*u**2 + 105 - 105)*(u - 6*u**2 - u) + 4*u - 4*u - u**4 + 0*u**3 + u**4 + 0*u**3 to the form q + j*u + z*u**4 + c*u**2 + r*u**3 and give z.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36705 - 2104 = 56*r - 69951. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1754206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-20))\/((-3)\/15). Let i(s) = -s**3 - 2*s**2 - s - 3. List the prime factors of i(b).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 424 (c) 5\/126 (d) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 - 10*f - 7. Suppose -6 = 4*w + 26. Let z be 6\/w*-6*-2. Let v be k(z). Solve -4*p - 13 = a, a - 9 = p - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 3. Let p be f(-6). Let -p*d - 9*d**2 - 216 - 3*d**4 + 216 - 9*d**3 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-62)\/18)\/((-534)\/2403)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919*r - 960*r + 167 + 325 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371527009 to the power of 1\/3, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*t + 4)*(0*t**3 + 0*t**3 + t**4).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 21 = -3*y, -v - 22 = -0*y - 4*y. Suppose 5*t - 539 = n, 0 = -y*n + 1 + 4. Suppose -4*q + 0*q = -t. Solve 5*s - q + 2 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + v - 2 = 2, 4*j - 3*v - 20 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-39) - (-4)\/(-26). Is (53\/t + 2)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 2*k**5\/15 - k**2 - k. Let o(f) = 15*f. Calculate u(o(t)).\nAnswer: 1800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/3)\/x**(-3)*(x**(-1))**(2\/81)*(x**6\/(x*x\/((x\/(x*x**(-2\/11)))\/x)))**(-10) assuming x is positive.\nAnswer: x**(-26887\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 32*m + 2. Let q be f(-16). Suppose q*a = -4*y + 78, 4*a + 2*y - 7*y - 143 = 0. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745402.\nAnswer: 2, 317, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -0. Suppose 0 = -4*q - 3*l + 5, 0*q - 25 = -q + d*l. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 0 - (-9 + -18 - (0 + 28))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(2057) + 0 + -3 + 6*-1*sqrt(2057))**2 + -4.\nAnswer: 990*sqrt(17) + 51502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*18.40512.\nAnswer: 18.40512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390184937*p**4 + 95035429*p wrt p.\nAnswer: -4682219244*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -12 - (-4 + -8 - -16) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/5 + 443\/5. Let m = v + -39. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - l + 4 = 0, -2*d - d = 4*l - 16. Let p(y) be the third derivative of 1\/24*y**4 - 2*y**2 + 0*y + d - 1\/40*y**5 + 0*y**3. Factor p(m).\nAnswer: -m*(3*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 5908?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -774*0.173.\nAnswer: -133.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 11) to base 7.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8 - 534*z + 535*z - 448*z**2 - 34*z**4 + 34*z**4 + 7764*z**5 wrt z.\nAnswer: 465840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**2\/2 + 9*c - 1. Determine b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12313587*a**4 - 1468953*a**2 - 3?\nAnswer: -295526088*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/671, -4, -118?\nAnswer: 2\/671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p - 2*z + 7*z, -2*z + 22 = 5*p. Suppose -q**2 - 27*q**5 + 28*q**5 - q**3 + 6*q**4 - 5*q**p = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*x - 1128, 3*x = 4*o + 1443 - 280. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1454? (a) 2\/15 (b) 5 (c) 2\/3 (d) -0.5 (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45859978 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106\/3 - -35. Let b = 598664 - 598662.7. Sort 3, w, b in decreasing order.\nAnswer: 3, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 36, 75, 130, 201?\n\"Answer: 8*j**2 - j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(4\/(-4))\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*s - 18 = 0, 3*s - s = c - 6. Suppose n + 15 = c*n. Calculate the remainder when 0 + n - (-8 + -23) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r + 56. Let j(g) = -g**2 + 14*g + 5. Let q be j(r). Which is the second smallest value? (a) 2\/5 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241262486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-136)\/(-36) + (-4)\/(-18). Let d be 14\/r - (-2)\/4. Solve 3 = 3*s - d*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5706 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:20 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/5)\/(r\/r**(-7\/4))*(r**0)**(-4\/31) assuming r is positive.\nAnswer: r**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + 0.21. Let t be (-5)\/(-30)*(-2)\/3. Put -2\/9, i, t in descending order.\nAnswer: i, t, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0457780806 rounded to four decimal places?\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448578?\nAnswer: 2, 149, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8466*l - 33867. What is h(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 7 - 2 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -27, 1, 88.5, 2\/27, -73?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.04, 1421, -0.2, 4\/7, 8, 0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l - 2. Suppose -4*f - 4 = 0, 4*f = 4*o + 3*f - 9. Calculate the remainder when 52 is divided by h(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7373 = -3*k, 0 = 4*k + 2*c + 3*c - 9832. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 4*b**2 - 2*b + 9. Let y be l(4). Suppose 0 = -s - u + 2 + y, 3 = -u. Solve 0*z + s*z - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/16)\/n)**(4\/3)*n**(-5\/13)\/n**31 assuming n is positive.\nAnswer: n**(-5117\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/71055685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 25. Let k be (-1)\/l - (-11)\/4. Factor 90*r**k - r - 88*r**3 - r.\nAnswer: 2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 20 - 9)*(33*k + k + 20*k) - 2*k + 1 - 1 + 2 as t + l*k and give l.\nAnswer: 1186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 73, 149, 225?\n\"Answer: 76*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 120. Suppose -4*o + 5 = -11. Calculate the remainder when m is divided by (o\/3)\/(8\/(-840)*-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.02 (c) 2 (d) -12951\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxxa. Give prob of picking 2 a and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67.25 - 72.25. Which is the nearest to -0.06? (a) 6 (b) q (c) -0.6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 5 + -6)*2*-54. Is ((-837)\/p)\/((-2)\/(-32)) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 13. Let r be j(13). Is r >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/5)*r)\/r*r)**15*(r*r**0\/r)\/(r\/(r\/r**(-2))))\/(((r*(r*r**(-4\/9)*r)\/r)\/((r**(2\/7)*r)\/r))\/(r*r**0*r*r**(3\/2))) assuming r is positive.\nAnswer: r**(3179\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170, 1028, 2452, 4436, 6974, 10060, 13688?\n\"Answer: -k**3 + 289*k**2 - 2*k - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92532292 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35506, -66602, -97698?\nAnswer: -128794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 5, u: 3}. Give prob of sequence mueu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - 11*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 144527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2412 - -2478 - (55 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -40. Let p = s - 27. Let n(y) be the second derivative of -y**5\/20 + 11*y**4\/12 + y**3\/6 - 13*y**2\/2 + 202*y. Determine n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108866*a + 108866*a - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1841 + 4406. Suppose 0 = -16*m + 2427 + g. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 10*t + 3. Let c be q(-5). Suppose -7*o = -8*o, -c*l = -5*o + 12. Let p(y) = 3*y**2 + 5*y - 1. Give p(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1329 - 216. What are the prime factors of m?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/9, 2\/145, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40188 and 170?\nAnswer: 200940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 6*y + 6. Let d be m(-5). Let u be 174\/18 + 4\/(-6). Let o = u - d. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k + 25. Suppose s + 2*s - 5*x + 7 = 0, 5*s + 2*x - 9 = 0. Put -3, s, k in increasing order.\nAnswer: -3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14657 and 13.\nAnswer: 190541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/238 and -23\/114?\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1275, -5108, -11499, -20448, -31955, -46020, -62643?\n\"Answer: -1279*o**2 + 4*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/3))**(4\/15)*(g\/(((g**(-3\/5)\/g*g)\/g)\/g))\/(g*g*g**(2\/5)))**(-43) assuming g is positive.\nAnswer: g**(-602\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b + 2. Give u(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21433*z - 21451*z + 27 = -81 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050262 (base 11) in base 7?\nAnswer: 21453142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317688586 to the nearest integer?\nAnswer: 17824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121 + -47?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*a - 16 = 0, 23 - 46 = -5*u - 3*a. Put -92, -1, -3, u in descending order.\nAnswer: u, -1, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by -61.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 + 3.5. What is the smallest value in w, 0.06, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-2 - 2) + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k + 3758 + 1918 = 449*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209 at most as big as 77750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgrjgjsgrjlfjjl. Give prob of sequence gj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125070000 rounded to the nearest one million?\nAnswer: 1125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84097467 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20473)\/472 + 45 - (3\/(-8))\/(-1)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/5)*f*f**(2\/7)*f*f*f\/(f\/(f**3*f)*f)*f*(((f*f*f**3)\/f*f)\/f)\/f*(f\/(f\/f**(-1)*f)*f**(1\/8))\/(f\/(f\/f**(3\/5))*f**(-1\/7)) assuming f is positive.\nAnswer: f**(423\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 3039025186 to the power of 1\/2, to the nearest integer?\nAnswer: 55127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -98. Suppose 3*i = 2*s + 3*s + 80, -s + q = 2*i. What is the remainder when 72 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 13 + -67 + (9 - (1 + -1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(1539)*-2 + -4*(sqrt(1539) + 3) + -5 + 2)**2.\nAnswer: -493605 - 10800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -6, -1\/12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(3\/29))*x)\/((x**(-27)*x)\/x))\/(x*x\/(x\/(x*x**23*x)*x*x)*x\/(x**(2\/53)\/x)) assuming x is positive.\nAnswer: x**(3291\/1537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 9145*c - 82192. Give v(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -12974 - -1938. Suppose 4*x = 2*o - 19 - 5, -5*x - 3*o = 30. Is s\/x - (2 + 25\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 + 16*w**2 - 3*w**2)*(-12 + 8 - 6).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l = -16*l - 675 + 257 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(4\/31))\/j*j**17)**(7\/2))**(-15) assuming j is positive.\nAnswer: j**(-55755\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**2\/2 - a + 11. Let n be h(1). What is the biggest value in -5, n, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3\/3 - 9*f**2 + 83*f - 100. Let p be b(9). Solve -2 = 2*d + 2*q, 0*q + p*q = 4*d - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-931) - (-192)\/342.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from yyyuyuyyyyuuyyyyuyyy.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -101*m + 13. Let l be j(4). Let h = l + 943. Suppose 5*v = h - 172. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51085c (base 13) to base 14.\nAnswer: 3716ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 3, x: 2, p: 4}. What is prob of sequence xp?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 131\/7. Which is the nearest to k? (a) 0.3 (b) 8 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3773 and 276699472?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -350*j - 4549. Calculate n(-24).\nAnswer: 3851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2. Let j(d) = -4*d**2 - 4*d - 1. Let m(g) = j(g) + 5*k(g). Let b be m(3). Let o = -7 + 4. Sort -5, o, b in increasing order.\nAnswer: -5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 11. Let f(a) be the first derivative of 2\/7*a - 1 + 0*a**t - 2\/21*a**3. Factor f(u).\nAnswer: -2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10*g = -5*m + 1524, -3*m = 12. Let t = g - 388. Let r(f) = -2*f**3 + f**2 - 3*f - 1. What is r(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 16699150.\nAnswer: 16699150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(252\/(-4890))*2. Let y = r - 272. Sort -50, 2, y in decreasing order.\nAnswer: 2, y, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {z: 4, j: 1, e: 1, f: 2, n: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-3 + 11)*-10*-1. Suppose 2*l = 5*j - 193 - 474, v*j = 5*l + 655. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 + 27694.24.\nAnswer: 27694.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 9*r**2 + 8*r + 3. Let h be d(8). Solve -5*x + 4*z = -8, -21 = -h*x - z - 2*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - -9.4. Let t = -4.9738 + -0.0262. Sort a, t, 3 in decreasing order.\nAnswer: a, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 675 and -179036450155.\nAnswer: -179036449480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18540 and 55?\nAnswer: 203940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2620 and 3050335.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 87\/4 (c) 3 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w**2 + 4*w**2 - 25*w**2)*(w - 7*w + w)*(-5*w + 5*w + w**2).\nAnswer: 45*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22444323 (base 5) to base 2.\nAnswer: -110001100101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -20, -22, -24, -26?\n\"Answer: -2*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20020 - 513032?\nAnswer: -533052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, k: 5, r: 7}. What is prob of picking 2 w and 1 r?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 3*v**2 - v + 4. Let d be k(3). Let q = d + -4. Let m = q + 27. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.03 (b) 2\/5 (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 941 (base 14) to base 9\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, f: 5}. Give prob of sequence zzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 437*u - 44366. What is m(-522)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 1062?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -830 - -849. Let x = h + -10. What is the lowest common multiple of 21 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270) - (sqrt(270) - (sqrt(270) + 3*sqrt(270) - sqrt(270)) - sqrt(270)))*4)\/sqrt(6))\/(sqrt(36)\/(sqrt(112)\/sqrt(7))).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81624183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2.28, 0, -4, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 14}. Give prob of picking 2 h and 1 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.89923 weeks in nanoseconds?\nAnswer: 43484654304000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/4)\/(-4 - (-189)\/48). Let n be 10*(8\/m)\/1. Suppose 4*y + 2*f = 1052, n*y - 1052 = -2*f - 3*f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 209, -17, 8 in increasing order.\nAnswer: -29, -17, 8, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, n: 7}. What is prob of picking 2 g and 2 n?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 11434*h**5\/5 + 4365*h**2 + 4441. What is the second derivative of f(t) wrt t?\nAnswer: 137208*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 498255.2km?\nAnswer: 498255200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18449 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46528, 93045, 139562, 186079?\nAnswer: 232596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.60741806 and 64.\nAnswer: 84.60741806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2660 (base 8) to base 11.\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22862\/3 + 7729. Let v = -109 + l. Suppose -d = 4*q - 17, -q - 3*d + 23 = d. What is the smallest value in q, 0.3, v, 0.09?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 + (-3 - 4) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2, -1624, -6, 2\/35 in descending order.\nAnswer: 1\/6, 2\/35, -2, -6, -1624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = y - 23, -4*y + 2*h - 13 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 < 35\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24305, -24377, -24449?\nAnswer: -24521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47429175 divided by -3.\nAnswer: 15809725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a factor of 171536256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -9, -133, 3, 2 in decreasing order.\nAnswer: 6, 4, 3, 2, -9, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 - 580230332*q**4 - 2320921368*q**3 - 3481382072*q**2 - 2320921388*q - 580230348.\nAnswer: 4*(q - 145057587)*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (1 - 0))*1. Suppose f - p = 15. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 3, t: 1, w: 5, x: 7}. What is prob of sequence wtsw?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1. Let q(z) = -2*z - 1. Let p(f) = q(f) - y(f). Let c(u) = -1240*u**2. Determine p(c(v)).\nAnswer: 2480*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18308 is divided by 316.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + -13409\nAnswer: -13408.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 13 - 57. Let n(p) = -p**3 - 3*p**2 - 4*p + 1. Let i be n(-3). List the prime factors of 5*(i - (4 + z)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*x - 292, 3*u + 149 = 3*x - 43. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525399257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 5*l + 385. Let v be 2\/((49\/l)\/7). Calculate the highest common factor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.391 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 700889743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 68\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 4. Suppose -5*r = 2*n - 3 - 22, 0 = 3*n - 3*r - 48. Suppose -3*k = -j - b*j + 12, -n = 2*k + 5*j. What is the third biggest value in k, -2, 6\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (0 + 3 + sqrt(192) + -1 + sqrt(192))*-4))**2 + 5.\nAnswer: 1408*sqrt(3) + 12414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*z**5 - 1019*i*z**4 - i*z - 683*i wrt z.\nAnswer: -40*i*z**3 - 12228*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22519109 is divided by 526?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*p - 16, 0 = 5*t - 4*t - 4*p - 18. Let u = 87.9 + -77.9. Which is the nearest to 1\/4? (a) t (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/3 + 10*p**3\/3 - 9*p**2\/2 - 36. Let w(z) be the second derivative of s(z). Is 12 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136704 is divided by 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -262.09006 and -7?\nAnswer: 1834.63042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 6*l - 5*l + 26 + 9. Let p be k(15). Let r(w) = w + 1 - p + 6 + 2. Give r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = 6. Suppose -5*p + 0*p = -25. Suppose 0 = -3*f - 2*f - 5. Put r, f, p in descending order.\nAnswer: p, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*j = -26*j + 441 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a**2 + 837*a - 415*a - 418*a)*(-3*a + 2*a**3 + 3*a).\nAnswer: -22*a**5 + 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, -203, -2 in ascending order.\nAnswer: -203, -3, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*k = -641 + 7697 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1909639745 - 19*u**3 + 1909639745.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 3*c - 2. Let o(b) = b**2. Let k(y) = 3*o(y) - z(y). Let i be k(-4). What is the units digit of 4\/((-1)\/i - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -28*q. Let j(b) = 2*b**2 - 3 - 12 + 15. Calculate f(j(s)).\nAnswer: -56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220256*u - 520 = 220216*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -498, -698, -898, -1098, -1298, -1498?\n\"Answer: -200*w - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.1 (c) -14.7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*s + 12*s - 2*s**3 - 41*s**2 + 34*s**2 + 78*s**2 wrt s.\nAnswer: -12*s + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*n**2 + n**3 - 933*n + 933*n)*(n - n - 3*n)*(1 + 3 - 2)*(2 + 0 + 0).\nAnswer: -12*n**4 - 1188*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.571 times -230?\nAnswer: -821.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n**3 + 4*n + 2 + 2*n**2 - 3\/4*n**4. Let l(a) = -21*a**3 + 27*a + 27. Calculate 4*l(y) - 27*z(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0*56\/252*18\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91747482 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1053 or -1\/4?\nAnswer: -1053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 e when three letters picked without replacement from {e: 7, v: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a - 3*b + 24, -2*a + 5*b = 37. Let v(l) = 2*l**3 + 12*l**2 - 8*l - 6. What is the least common multiple of 24 and v(a)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen ninths of a hour?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19636?\nAnswer: 2, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (11 - ((1 - -73) + (-64 - -45)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -2 - 28. Suppose 0 = -i*f + 3, o - 35 = -5*f + 101. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 3*y + 69, -4*r + 3*y - 97 = 0. Suppose -248 = -6*k + 14*k. Is r <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576924 and 143130.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g - 31*g - 5*g + 1 - g - 1 + (2*g + 1 - 1)*(-3 + 6 - 2) + 1 - g - 1 + 1 + 2*g - 1 - 47*g - 68*g + 29*g.\nAnswer: -110*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 1\/(4\/(-16)). Which is the second biggest value? (a) -0.3 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - a**2 + a + 1. Let x(y) = 1311*y**3 - 621*y**2 + 621*y + 621. Determine 2484*d(j) - 4*x(j).\nAnswer: -276*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/7*(-2)\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15059480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 16449?\nAnswer: -8224.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11644960 (b) 3\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2402.607 and 0.1.\nAnswer: -240.2607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/9*62\/310\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-41)\/205 - 1\/(-5). What is the hundreds digit of (-1)\/4 - ((-853)\/4 + l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -35*k**2 - 3*k - 163. Give b(0).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18b + -1ca?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 986 and 2031704?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -2. Suppose 0 = 5*o + 73 - 248. Let f = o + -139\/4. Which is the nearest to d? (a) -4\/9 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3302 - -4?\nAnswer: -3287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 + 5*u + 17. Let t(q) = 2*q + 8 + 192*q**2 - 189*q**2 + 0. What is 5*t(j) - 2*w(j)?\nAnswer: j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 1, 189 in ascending order.\nAnswer: 1, 78, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 32, 34, 32, 26, 16, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14911103681\/44 + -338872558. Let g = -16163 + f. Calculate the common denominator of 119\/6 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 61266 = x, 0 = -4*p - 3*x + 49015. Determine h so that -13*h**3 - 216*h**2 + h**3 - 12028*h + p*h - 57 = 0.\nAnswer: -19, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1007 - 1026. Let j(t) = -t**3 + 4*t**2 + 10*t - 8. Let v be j(6). Let i = m - v. Is i equal to -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5762)\/(-6968) + (-6)\/8?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*u**3 - c**3*u - 141757*c**2*u**3 - 1192*c**2*u**2 - 2*c*u**3 wrt u.\nAnswer: -6*c**3 - 850542*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(105\/(-30)) - 16\/21 - -1?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -425, -433, -451, -479, -517?\n\"Answer: -5*b**2 + 7*b - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 65*m**2 + 0*m + 3\/2*m**4 + 0 + 29\/2*m**3. What is the derivative of j(l) wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/30? (a) -2\/203 (b) -3\/2 (c) -5\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 11:23 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -435*v**2 + 865*v**2 - 2*v**3 + 5*v - 433*v**2. What is the hundreds digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 19*v**2 - 2 - 2*v + 2932*v**3 - 2932*v**3 - 12*v**4 to r*v + w*v**4 + n*v**2 + h + u*v**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*l = 65, -w - 4*l = 14 - 10. Calculate the common denominator of -94\/45 and ((-21)\/98)\/(9\/w).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 11:23 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q - 3. Let m(o) = -16*o - 9. Let a be m(-1). Let t(c) = 9*c - 3. Let v(j) = a*k(j) - 6*t(j). Calculate v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42663 is divided by 2987.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 24*k - 50 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -179\/228659 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14494*f**3*k**3*o - 12*f**3 + f**2*k**3*o**2 + 3*f*k**2 - 14*f*k*o**2 - 2*k**2*o**2 - o wrt k.\nAnswer: -86964*f**3*o + 6*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11323312322 - 2203?\nAnswer: -11323321131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/77*-10)\/((-266)\/1463)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 11*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpwpbpwbwbpwbpkk. Give prob of sequence wpwk.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 2*u - 4. Let y be z(-3). Let k = 1.867767 - 0.067767. Which is the second biggest value? (a) y (b) -1\/3 (c) k (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 52684265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 157\nAnswer: -7\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, 0.2, 16, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*a = 2*a - 78, 0 = a - 2. Let u(k) = 15*k + 4. Let y be u(4). What is the highest common divisor of b and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4725\/(-125) - -39)*(4\/4 - (-2)\/8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-16)\/(-60)*(-183)\/122).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggnnnnggg. Give prob of sequence gng.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*2*2)\/(sqrt(11) - sqrt(77)\/(sqrt(7)*2))*-5)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*g**3 - 45*g**3 - 43*g**3 - 45*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352.136299 rounded to the nearest 10?\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 25*i + 30. Let z be g(26). Let p(v) = -16*v + 68. Let w be p(z). Solve -5*f + 11 = d, -5*d - 7 = -w*f - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38371, -38370, -38369, -38368?\nAnswer: -38367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5142960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + -1 - 1) + 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-25)\/10)\/((-2)\/(-4)). Suppose 2 = -2*z + 3*d - d, -k*d + 29 = z. Solve p = 2*m + z, 2*m + 2*p + 8 = 4*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-735))\/(12\/(-51 + -9)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 9. Let t be w*3\/3 - -1. Suppose -21 = -d - 2*f, t*d + 3*f - 32 = 42. What is the remainder when d is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1784, -3556, -5328, -7100, -8872?\nAnswer: -10644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113020322 (base 4) to base 15.\nAnswer: -1d138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -128. Let i = 69 + x. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 2032*h\/5 - 2034\/5.\nAnswer: 2*(h - 1017)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = c, 70517*q - 70513*q + 5*c + 265 = 0 for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 344348539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117311\/110 - -1066. Let z = d - 2\/55. Let o = -3.1 + 0.1. Which is the second biggest value? (a) 5 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (108\/16)\/((-3)\/8). Let h be 1*10*(-9)\/n. Suppose -h*p + g = -279 + 11, -p + 62 = 4*g. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123555 is divided by 41175?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 + a**2 + 129*a + 245*a - 3 - 414*a as p + x*a**2 + s*a**3 + o*a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4001 - 7767 + 2977. Calculate the lowest common multiple of 450 and x.\nAnswer: 118350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -131*q + 514. Is t(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1125010258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 - -764\/5. Factor 1\/5*m**2 - r*m**3 + 0 + 3\/5*m**4 + 0*m.\nAnswer: m**2*(m - 1)*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/(-989) - (-1320)\/(-5980)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 4) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**2 - 4*q - 5. Let o(b) be the third derivative of -b**5\/12 + b**4\/12 + b**3\/2 - 2*b**2. Give 3*g(j) + 5*o(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-360)\/(-44) - (-4)\/(-22). Let z = 10 - f. Is 10 a factor of z + 9\/2*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-3)\/(-18)*-3. Suppose 11 = 2*o + v. Solve 5*j + o*k = -10, 6*k - k = -4*j - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2471591386 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 2:48 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702, 1384, 2040, 2658, 3226, 3732?\nAnswer: 4164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*s - 5*c, 15 = -4308*s + 4309*s + 5*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139503*d**3*o - 2*d*o + 87358*d + o wrt d?\nAnswer: -837018*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g**2 - 5*g - 7. Let z(f) = 10*f**2 + 4*f + 7. Let l(v) = 4*c(v) + 5*z(v). Differentiate l(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5488, -5484, -5480, -5476, -5472, -5468?\nAnswer: -5464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 14 = 10*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510296117 to the nearest integer?\nAnswer: 22590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*p - 36, -5*a = 3*p - 5*p - 106. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d292 (base 14) to base 8.\nAnswer: -334600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.873018 millennia in centuries?\nAnswer: 68.73018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzw when three letters picked without replacement from {z: 1, x: 1, p: 1, g: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2\/21 (b) 3\/5 (c) 1.2 (d) -3\/4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3, 8\/5, -17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002899 to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -163452 divided by 3?\nAnswer: -54484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t - 2343 + 2101 = -7*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/117275 and 48\/92013965.\nAnswer: 460069825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1)*(9696*f**3 - 4871*f**3 - 4664*f**3).\nAnswer: 644*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188586, -188609, -188634, -188661, -188690?\nAnswer: -188721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2142.7 * -220\nAnswer: 471394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 201 = -51. Let g be (h\/(-6) + -3)*110. Let t = g - -60. Calculate the least common multiple of 7 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304\/(-4560)*3\/(-2)*1\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -55*k + 22. Let d(r) = 85 - 106 + 65*r - 9*r. Let p(i) = 3*d(i) + 2*h(i). Find the first derivative of p(u) wrt u.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4485*g + 13793*g - 3*g**2 + g**2 - 4598*g - 4500*g + g**2.\nAnswer: -g**2 + 210*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - c + 3*c = -3*c - 33, -339*i = -2*c - 4415 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5. Let t be (-6)\/39 + 12\/78. What is k(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1156477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*j = -262*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**3 - 7739753123630*o**2 + 7739753123630*o**2.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185 + 308. What is the first derivative of 337*x**4 + 389*x**4 - d - 766*x**4 wrt x?\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*w**3*y + 7*j**2*w**2*y**3 + 2*j**2*w**2*y**2 - 5*j**2*w**2 - 3*w**3*y**3 wrt y?\nAnswer: 42*j**2*w**2 - 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (193 - 192)\/((-20)\/(-4856 - 24)*4\/(-2))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-1) - -4) + -4. Solve -3*i + 5*k - 2 = -14, -v = -5*i + 5*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, -41, 0.4, -4 in descending order.\nAnswer: 5, 0.4, -1\/2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3215501413 - -4?\nAnswer: -3215501405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 + 585. What is the common denominator of -75\/22 and k\/(-40)*(-2)\/(-4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:44 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 249388*i + 20749?\nAnswer: 249388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 209?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5368 and 67100?\nAnswer: 134200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -28\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by 360692\nAnswer: 205\/360692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 9*s + 12. Let w be q(10). Find the third derivative of -d**4 - 8*d**w - 4*d**4 - 2*d**4 wrt d.\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**7\/105 + 219*d**5\/20 - 2557*d**4\/24 + 1311*d**2. What is the second derivative of c(k) wrt k?\nAnswer: -24*k**2 + 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 265 = 35. Suppose 0 = -9*f + 4*f + m. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*b = -302*b - 73*b + 3198 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 66, 100, 134?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5028 is divided by 294?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4040000 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -120*y - 32. Sort y, 5, 7 in increasing order.\nAnswer: y, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 61*f**2 - 3*f - 60*f**2 - 12 + 0*f + f. Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 846711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 73. Calculate the least common multiple of o and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*o + 5 = 0, -3*v + 25 = -0*v - 4*o. Suppose h = 2*h + 5, -43 = v*g - h. Which is smaller: -17 or g?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -224, 2\/11, 9, 23?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18373, 18092, 17625, 16972, 16133?\nAnswer: 15108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -4. Let p(l) = l + 1. Let i(n) = n**3 - n**2 - 2*n - 5. Let r(t) = a*i(t) - 2*p(t). What is the second derivative of r(g) wrt g?\nAnswer: 6*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j + 145. Let i be v(36). Which is the nearest to 0.2? (a) i (b) 1\/24 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*g + 12 = -0*b, 0 = -4*b + 3*g - 10. Suppose -4*d + 3*h + 13 = 0, -5*d + 37 = h - 3. Let p = d - 12. Sort b, 1, p.\nAnswer: p, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199494225 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 8*x**2 - 8*x - 4. Let y be q(5). Suppose 5*w = 11*w + y. What is the second smallest value in 0.3, w, 6\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 11. Let u be d(-3). Sort 7, -1\/9, u in decreasing order.\nAnswer: 7, -1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -929360.8456 - -929761. Let i = 400 - u. Let m = -0.15 - i. What is m rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 4. Let v = 35848 + -35846. Put -0.3, 5, v, h in descending order.\nAnswer: 5, v, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.8 - 45.2. Let k = u - -54.2. Let r = k + -3.5. Which is the nearest to 1\/3? (a) 1 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (16 - -15 - 25).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**4\/4 - 2*c**3\/3 + 31*c + 65. Differentiate i(s) wrt s.\nAnswer: 3*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 6 = -u - 1. Which is the second biggest value? (a) 0.2 (b) -282 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.982 - -8. What is b rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, 0 = 2*j - 3*v - v - 138. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -4 - 1 - (-6 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.08, -3\/2, 9, 0.4, -0.2.\nAnswer: -3\/2, -1, -0.2, -0.08, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 47410*v - 853732. Calculate l(18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 6.5. Let v = -0.5 - t. What is the nearest to v in 1, 0.4, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032614 to six dps.\nAnswer: 0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f5 - 7?\nAnswer: -2fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) - (-5*sqrt(60)\/sqrt(2) - sqrt(30))) + sqrt(30) + (2*sqrt(150) - sqrt(150))\/sqrt(5))\/(sqrt(600) - 5*sqrt(600)*-1))**2.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/861370 and 85\/4024.\nAnswer: 1733076440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**7*d**(-1\/4))\/((d*d**8*d)\/d)**(-1\/11) assuming d is positive.\nAnswer: d**(-239\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/1*((-74)\/5 + 1). Let u = h + -109. Solve 4*b = -x - 17 - 1, u = -5*b + 2*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42086616911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/504 and -47\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w - 9. Let h be o(-6). Let x be ((-703)\/(-19))\/(1\/5). Suppose -4*b + h = -x. Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*g**2*u + 35*g*u**3 + 2*g - 43*u**3 - 3*u**2 - 50*u - 1 wrt g.\nAnswer: -392*g*u + 35*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2722*s - 14015. Determine y(-5).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 8, 73*w = 3*l + 74*w - 460. Solve -158 = 4*x - l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -29. Let z = 101 + s. What is the remainder when z is divided by (-2)\/(-6) - 132\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/748880 and 93\/32560?\nAnswer: 748880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (2 - 10 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 11 = 5*y + 30, 3*q - 7 = y. Suppose -2*w + 3 + 1 = 0. Suppose -w*f + 8 = -4*f. Sort f, q, -5.\nAnswer: -5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**2 + 0*d**2 + 7*d**2)*(5 - 4 + 2) + d**2 - 322*d**2 - 477*d**2 to the form s*d**2 + z + q*d and give s.\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16355133*u**6 + 3*u**4 - 214570216*u**2.\nAnswer: -1962615960*u**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 489653549.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2299 and 1\/1089?\nAnswer: 20691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 19575.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444 = 6*j + 450 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618014371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 + -186. Which is the second smallest value? (a) q (b) -50 (c) -5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153978397 and 12424?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 1, 29257 in decreasing order.\nAnswer: 29257, 9, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 0*f + 2*f - 3 - 5*f. Let i(d) = d**3 + 2*d + 2. Let l = -27893 + 27895. Calculate l*b(w) + 3*i(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 35*l**2 + 3*l + 4. Give d(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233206 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -39*q - 325. Give n(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -8283, -27992, -66383, -129684?\nAnswer: -224123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(((z\/(z*z\/z**(-13)))\/z*z)\/z)\/z*z**(-9))\/(z**10*z**20) assuming z is positive.\nAnswer: z**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382 is divided by 683?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1544*i + 462205*i + 292982*i + 630892*i.\nAnswer: 1387623*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4, 2*v + 34*x = 32*x + 4. Let k(j) be the second derivative of 1\/60*j**4 + 0*j**2 + 0*j**3 + v - 4*j + 1\/50*j**5. Factor k(t).\nAnswer: t**2*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/57586 and 77\/18.\nAnswer: 518274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 2*y - 6*y - y. Let g(d) = -d + 1. Let u(v) = 4*v - 2. Let a(s) = -2*g(s) - u(s). Calculate w(a(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let l be n(-7). Suppose 5*g + 3 = -l. Let m(b) = b**2 - b. Let a(v) be the second derivative of -v**4\/3 + v**3\/2 - v. What is g*a(t) - 6*m(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -3*o + 108. Let i = o - -16. Let s be ((-2)\/i)\/((-2)\/10). Let w(d) = d**2 + 6*d + 7. What is w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1266 - 2*f**2 + 1293 + f**2 - 4*f. Let x be d(-6). Solve 0 = -5*s - 5*o - x, 5*s = 2*s + 5*o + 31 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99485296, -5, 2 in decreasing order.\nAnswer: 2, -5, -99485296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 - 0.0296. Let q = 288.9804 - a. Let v = q + -291.42. Round v to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 22*n + 33. Let m be l(-21). Suppose 9*u + m = 5*u, -8 = y + 2*u. Let p be -2 - 0 - (-2 + 0). Sort -5, p, y in decreasing order.\nAnswer: p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-3 - 11) + (-12 - -20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4221 and 402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330*a*w**3 + 11689*a*w**2 - a - 214*w**3 wrt w.\nAnswer: 1980*a - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 476388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12683 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9565396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41209151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let b(z) = 231 + 8*z - 2*z - 466 + 244. Give -b(p) - 5*h(p).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3 (c) 2\/5 (d) -102 (e) 2134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + 11\/(-3) + 4. Let s(i) = -i**3 - i**2 - 2*i - 1. What is s(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -13*u**2 + 10*u - 15. Let h(l) = -9*l**2 + 7*l - 10. What is 5*a(o) - 7*h(o)?\nAnswer: -2*o**2 + o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let h(a) = 2*a**2 - 198*a + 2. Let n(i) = 2*i**2 - 207*i + 3. Let r(q) = 3*h(q) - 2*n(q). Calculate r(m(o)).\nAnswer: 2*o**2 - 180*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3738, 3683, 3628, 3573, 3518, 3463?\nAnswer: 3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*z = 124 + 74, -594 = -3*y - 5*z. Sort 2, y, -4.\nAnswer: -4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5133991 to the nearest integer?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 523*n - 522*n + 80. Let u(h) = 5*h**2 + 6*h - 7. Let m be u(-5). Let b = m - n. Is 42 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13))**(1\/16) assuming q is positive.\nAnswer: q**(1\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4530 - -6823. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*u - 54, u + 14 = 4*n + 64. What is the tens digit of 1\/4 + (-189)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 69*w + 2712. Give g(28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-4) - 15\/30. Let j = -17 - -24. What is the tens digit of 2\/j - y\/70*-1018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906.7183 milligrams in grams?\nAnswer: 0.9067183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*2 + ((sqrt(125) - sqrt(5))*-5)**2 - (-3 + 3*(sqrt(5) + sqrt(405) + -3 + sqrt(5))).\nAnswer: -25*sqrt(5) + 2012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/27 - -11\/54. Find the common denominator of 37\/13 and u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 21\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -64*q**2 + 25. Let n(l) = -2*l. Give m(n(c)).\nAnswer: -256*c**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093555366 to seven dps.\nAnswer: 0.0009356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.396338 rounded to three decimal places?\nAnswer: 6.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/411, -18, 0.4 in descending order.\nAnswer: 0.4, 5\/411, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - 4232*a - 3 + 4.\nAnswer: -4219*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -353*l**6\/20 + l**4\/8 - 16*l**3 - 2*l**2 + 26*l. What is the second derivative of y(r) wrt r?\nAnswer: -12708*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5485 divided by -1.\nAnswer: 5485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1419484 or -1419489?\nAnswer: -1419489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*-2 + sqrt(972))*1)\/(2*(sqrt(726) - (sqrt(726)*-2 + sqrt(726)) - sqrt(726))).\nAnswer: -9*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 210?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (10 + -15 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f = -21*f + 156 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in minutes?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 900? (a) -2 (b) 10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + -6 + (104 - 162 - -89)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + t**5 - 2*t**3 + (t + 0*t + 0*t)*(-t**2 + t**2 + 2*t**4) - 5*t**5 + 13*t**3 - 13*t**3.\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 700, -2 in increasing order.\nAnswer: -2, 109, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165014, -164873, -164732?\nAnswer: -164591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -48*a**3 - 9*a**2 + 16*a. Let p(m) = 47*m**3 + 7*m**2 - 16*m. Let s(v) = -4*p(v) - 3*x(v). Find the third derivative of s(l) wrt l.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:19 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 218?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 31*s. Let y be o(-1). Let w = -4073 - -4077. What is the closest to 0.2 in y, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 - (7 + -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.89 + -0.01.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 650 and 1443.\nAnswer: 72150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -166, -246, -402, -652, -1014, -1506, -2146?\n\"Answer: -3*p**3 - 20*p**2 + p - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(45) + -2*sqrt(45) + -5)*5)**2.\nAnswer: 12000*sqrt(5) + 28000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509164 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 - 11*l**2 - 4*l - 11. Let b(a) = 3*a**3 - 8*a**2 - 3*a - 7. Calculate 7*b(m) - 5*w(m).\nAnswer: m**3 - m**2 - m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 g when three letters picked without replacement from {x: 2, t: 2, a: 6, g: 6, d: 3}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0, -0.01282, -5, 1 in descending order.\nAnswer: 1, 0, -0.01282, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*f - 30, i = -f + 6*f + 24. Let g(m) = 10*m**2 + 2*m + 2. Calculate g(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 32*i + 90 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 3, 1789, 0, -3 in descending order.\nAnswer: 1789, 3, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**6\/72 - p**5\/120 + p**4\/24 - 70*p**3\/3 - 82. Let k(w) be the third derivative of i(w). Calculate k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16887 and 112580.\nAnswer: 337740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 2720086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*f**3*r**2 - 3*f**3 + 2*f**2*r**2 + 283*f**2 + 20*f*r**2 - 2*r wrt r?\nAnswer: 44*f**3 + 4*f**2 + 40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 18 = 2*w - b, b = -5*w - 58. Let g = 2 + w. What is the tens digit of (-172)\/(-6) + (-3)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {w: 5, c: 14}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312988 is divided by 2604?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 17 - 17 as v*z + x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = -15*c - 42*c + 15*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 210*k + 13571. Give q(-65).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 2. Let t be v(-2). Suppose 3*h - 9 - 36 = t. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 n when three letters picked without replacement from puuuuuntccnuutunp.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*p = -169*p + 350. Let s = 359 - p. Calculate the remainder when 142 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13720 + 1680 = 25*n. Suppose 0 = -25*t + 11*t + n. Calculate the lowest common multiple of t and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6948508, -13897001, -20845494, -27793987, -34742480, -41690973?\nAnswer: -48639466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201836?\nAnswer: 2, 50459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -5, -28, -58, -3 in descending order.\nAnswer: -1, -3, -4, -5, -28, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, o: 5}. Give prob of sequence soo.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66976854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32841771.\nAnswer: 3, 10947257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 3 (c) 103 (d) 5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u**3 + 2*u**2 + u - 2. Let w be d(1). Let a be (4\/(-3))\/(w\/27). Solve x + a*o = -2*o + 13, 0 = 3*x - 3*o - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5792176900 to the power of 1\/2, to the nearest integer?\nAnswer: 76106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**3 - 5*u**2\/2 + 7*u - 1. What are the prime factors of s(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + 3*v**3)*(2*v - 3*v + 0*v) + (v**4 + v**4 - 6*v**4)*(-3 + 6 - 2) + 3*v**4 - v**4 + 4*v**4 - 5*v**4 - 4*v**4 + 3*v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430 - 7308\/17. Let v = -8 + 8. Which is greater: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150500+983\nAnswer: 151483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140.9626 - -141. Let f = j - 0.07. What is f rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - w**4 - 2*w**3)*(26 + 392*w - 26 + (-3*w + w + 0*w)*(0 + 1 + 1))*(-8 + 6 + 11).\nAnswer: -3492*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(14\/(-8)) + -1 + 502?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9070?\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100, -157, -278, -493, -832, -1325, -2002, -2893?\n\"Answer: -5*t**3 - 2*t**2 - 16*t - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177498903 is divided by 2327?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002112121 (base 3) to base 15.\nAnswer: -65aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 521 - 2618449*c + 2618451*c as r*c + q and give q.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(1\/4)))**(17\/5)*(j*j*j**3)**(-39) assuming j is positive.\nAnswer: j**(-3883\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353355.\nAnswer: 5, 433, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 270.281?\nAnswer: -243.2529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 11 = 5*r - 4*h, h = r - 3. Let g(k) = 41*k**3 + 6*k - 1. Let b(d) = -40*d**3 - 5*d + 1. Let c(j) = 6*b(j) + 5*g(j). Is c(r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -7*q**4\/6 - 3*q**2\/2 + 2*q + 87. Let v(a) = -a. What is v(w(f))?\nAnswer: 14*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 50061.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) -2 (c) -3 (d) 0.04 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53005905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5003738 is divided by 303?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/((-63)\/6)*12. Let s = f + -4. Solve 3*o = o - s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9129 greater than or equal to -9120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-13) + (-28)\/(-182). Let b be (60\/(-42))\/(l\/(-7)). Let i(x) = 7*x + 10. Let c(q) = -4*q - 5. Let y(m) = 5*c(m) + 3*i(m). Give y(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-654)\/(-8))\/(11\/8 + (16 - 17)) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.350332 to one dp.\nAnswer: -80.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrzuuuz. What is prob of picking 3 r and 1 u?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (18 - 51 - -29)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12*n - 1. Let h(l) = -25*l + 12. Let d be h(8). Let u = d - -189. What is g(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*v + 21*v**2 - 20*v**2 + 2*v**3 - 4*v**3 + 18*v - 1 as u*v**2 + h*v**3 + o + m*v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 21\/2*h + 6 - 3\/2*h**3 = 0. Calculate h.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*y = -22, 3*d - 5*y = -1 - 2. Let q = -6 - -9. Differentiate q*b**d - 2 - b**4 + 2 + 1 with respect to b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 887 + -884. Solve 2 = s*l + 4*g - 3*g, -3*l = -3*g + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000086949 to seven decimal places.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -15067\nAnswer: -4\/15067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78) + (sqrt(78) + 4*(sqrt(78) - -1*sqrt(78)) - sqrt(78)))*1)\/(1*sqrt(486) - sqrt(36)\/(1*sqrt(6) + sqrt(6))).\nAnswer: -18*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = 2*p, 0 = -n + 3*p - p - 11. Let y be 9 - (-9)\/3*6\/n. Suppose -4*i = 12, 0*i - i - 3 = 4*j. Sort j, 3, y, 5 in decreasing order.\nAnswer: y, 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -2*f - 10, 177*g - 29 = 175*g + 3*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7210)\/1648*(-2)\/5\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 147 - (122 - 78) - 155\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 198 = -2*h + 483, -4*a + 343 = h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*1*2. Suppose -d + 100 = x*d. Suppose 123*l + 906 = 4*h + 125*l, -3*h + 687 = 4*l. Calculate the greatest common divisor of h and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1551, 12367, 41713, 98853, 193051, 333571, 529677?\nAnswer: 790633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 987028 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - 22?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3 - 2\/5*y**5 + 2*y + 0*y**3 - y**4 + 2*y**2. Factor p(h).\nAnswer: -2*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qciimgcqic. Give prob of sequence iim.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v + 4*l + 24, 5*v - 5*l = 60. Let g(x) = x**3 - 4*x**2 - 17*x - 22. Let z be g(7). What is the remainder when (z - 5)\/(1\/16) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 4*z**2 - 6*z + 5. Let c be b(5). Let r = -11 - -19. Let g be -4*2*(-4)\/r. Sort g, c, -1 in decreasing order.\nAnswer: g, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**5\/15 + r**2. Let f(u) = -u - 2*u + 2*u. Give d(f(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2657699 divided by 11\nAnswer: -241609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = -454*i - 5357 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*b + 5*p + 6 = 0, 2*b = 3*p - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1*4 - (-30 + 9).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39251 * 0.5.\nAnswer: 19625.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Calculate the lowest common multiple of (-1)\/2*(-8)\/(-52) + 1848108\/5941 and o.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - f + 1. Suppose 0*i = i + 1. Let r be u(i). Suppose 5*a + 2*w = 2*a + 46, -r*a + 2*w = -50. What is the lowest common multiple of 22 and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70259520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-3.2\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 1\/73843, 0.2 in decreasing order.\nAnswer: 0.2, 1\/73843, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -71790 divided by 4786?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 87, 175, 267, 363, 463, 567?\n\"Answer: 2*h**2 + 82*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-352*d + 105 - 209 + 105)*(2*d + 2*d + d) to z*d**2 + i + h*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349 + -245. Let x = v + 6. Let t = 110.00059 - x. Round t to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1011111100001001111?\nAnswer: 1011111100001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 53. Suppose i*s + 972 = 4*s. Calculate the greatest common factor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c*n**3*v**3 - c*n**3 - 2*c*n**2*v**3 - 11*c*n**2*v - n**3*v**3 - 26*n**3*v + 2*n**2*v**2 wrt v?\nAnswer: 18*c*n**3 - 12*c*n**2 - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 176.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 14514?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514117?\nAnswer: 11, 59, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-2\/163)*l\/(l\/l**7*l)*l**(-3)*l*l)\/(((l**1\/l)\/((l\/((l*l\/l**(1\/5)*l)\/l))\/l))\/(l*(l\/((l**(-1)\/l)\/l)*l)\/l)**(-1\/2)) assuming l is positive.\nAnswer: l**(3463\/4890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/20 + t**3\/5 + 3*t**2\/10 + t\/5 - 10. Factor f(x).\nAnswer: (x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 190, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8768, -34284, -76796, -136292, -212760?\nAnswer: -306188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 16*k + 92*k - 61*k)*(5 + 2*k**2 - 2 - 5*k + 3*k) to b*k + o*k**3 + c + d*k**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10011551 (base 6) to base 7\nAnswer: -2252110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, 0.5, -135 in decreasing order.\nAnswer: 0.5, -135, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f = 90*f - 46*f + 78960. What are the prime factors of f?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.219339cm?\nAnswer: 62193390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three fifths of a centimeter?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262*g*k + 155333*g - 91*k wrt k?\nAnswer: 262*g - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 256, 47 in ascending order.\nAnswer: -2, 47, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose 0 = -d + 6*d. Suppose -f*t + 22 - 2 = d. Solve 6*z - 20 = z - w, -z = t*w + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, j: 2}. Give prob of sequence qj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9225.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 0*r + 2*r - 5 + 63*r**2 - 155*r**2 - 9 + 93*r**2. Let h be (15\/6)\/((-1)\/2). Let v be x(h). Is v greater than or equal to -2\/267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14965*j**3 + 7480*j**3 - 1341*j**4 - 803 + 7485*j**3 with respect to j.\nAnswer: -5364*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26897798 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16\/153 + 2\/153. Which is the second smallest value? (a) 0.2 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12 and ((-162)\/(-68148))\/((-27)\/(-426)).\nAnswer: 7572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**45)**46 assuming n is positive.\nAnswer: n**(1035\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 3*w + 5*w)*(29 + 47 - 7).\nAnswer: -69*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgpgg. What is prob of picking 2 g, 1 p, and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30004+-1310\nAnswer: 28694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*r - 18, r - 3*x - 2*x + 18 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7.23*5.8\nAnswer: -41.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 44*t + 196. Determine a(31).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.02. Let i = 16.98 + -19. Let r = n + i. Which is the closest to r? (a) -2\/7 (b) -2\/11 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9604 + -9603.982384. What is d rounded to four dps?\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**6 - 124*r**3 - 5*r**2 + 120 wrt r?\nAnswer: -360*r**3 - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4148 divide 2882860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqeq when four letters picked without replacement from {e: 8, q: 1, b: 2, s: 2, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:21 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -x - 4*h - 1, -5*x = -3*h + 12. Let t(w) be the second derivative of w**4\/12 - w**3\/2 - 8*w**2 + 81*w. Let r be t(x). Solve -j - r*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 4 (c) 0.00351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2320395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 4 - -10 - (-1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b + 45. Let n(q) = 16*q - 39. Determine -5*j(o) - 6*n(o).\nAnswer: -o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 476.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t - 2. Let h be w(3). Let j = -6 + h. Find the second derivative of -m**2 - 3*m + 0*m + j*m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 - 3153321?\nAnswer: -3153420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 + z. Let q(b) = 2*b**3 + 4*b**2 + 3*b. Give -5*o(x) + q(x).\nAnswer: -3*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 6*j**2 - j + 6. Let c be h(6). Let o be (2 - c) + 9\/1. Suppose -o - 11 = -d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 26*s = -52*s - 24, 5*s = 4*q + 80 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -129 + -87 + 94 + 136?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 101*r**6\/60 - r**4\/12 + 167*r**3\/6 + 211*r**2. What is the derivative of m(u) wrt u?\nAnswer: 606*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -124261.\nAnswer: 2\/124261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*b - 2*a, -7*b - 8 = -6*b + a. Let w(k) = k**3 + 5*k**2 - 41*k - 23. Does 15 divide w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*x - 62. Let r(t) = -15*t. Let s be r(-1). Let p be (-22)\/x + s\/25. Does -0.04 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*g - g - 2333, -g + 2339 = 2*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 3*t. Let a(s) = s**2 - s. Let z(m) = 36*m - 7 + 0*m**2 + m**2 - 75*m + 41*m. Let r be z(-4). Give r*l(p) + 3*a(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16408 and 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -j - i, -1597 = -4*j - j + 3*i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 1182 + 1996. Let j = 702 + w. Is j greater than 248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 + -423. Suppose o*f = 1989 + 871. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 1\/2 (b) -1\/4 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - z**2)*(3 - 2 + 1) - 4*z**2 + z**2 + 4*z**2 + (-7*z + 9*z - 10*z)*(z + 2*z - 4*z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 + 5)*(-7 - 29*l**2 - 2*l + 8*l**2 + 19*l**2) + (2*l + 0 + 0)*(2*l + 0*l - l) as k + h*l**2 + a*l and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-7))\/((-1)\/2))\/(792\/(-288)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.2. Let p be (6 + (-56)\/6)*6\/(-4). Which is the second smallest value? (a) -0.09 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j - 3*n + 213, -4*n + 164 = 4*j. What is the remainder when j is divided by (((-8)\/(-3) - (-23 - -30)) + 2)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*1*5)\/(-2*sqrt(294)) - (1 + 2*(sqrt(170)\/(-2*sqrt(10)) - sqrt(17))).\nAnswer: -1 + 37*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 884383?\nAnswer: 88438.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 5) + 8 - ((12 - 6) + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11638067, -11638066, -11638065, -11638064?\n\"Answer: n - 11638068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 4. Let g(q) = 3 - 7*q - 10 - 1 + 12*q. Let t(f) = f. Let l(i) = -g(i) - 6*t(i). Calculate 7*j(r) - 3*l(r).\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 12*x**2 + 13*x + 20. Calculate r(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y + 8. Suppose 0 = 4*w - y. Which is the smallest value? (a) w (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**4 - 5*u**2 - 239*u. Let c(x) = -6*x**4 - x**3 - 4*x**2 - 240*x. Let j(v) = -5*c(v) + 4*s(v). What is the second derivative of j(o) wrt o?\nAnswer: -24*o**2 + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 - 72*t**3 - 8*t**2 + 25*t**2 - 7*t**2.\nAnswer: -72*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1 + 2*b - 3*b + b**2 + 6 + 0*b. Let l be x(4). Is l + (0 + 5 - 2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4 - 78*o**3 + 312*o**2 + 952*o = 0.\nAnswer: -2, 0, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 2\/3, -1776, 2\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**9\/241920 - n**7\/5040 - 11*n**5\/15 + 37*n**2. Let q(i) be the third derivative of d(i). Suppose q(h) = 0. Calculate h.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 272*s**3 + 9*s**2 + 6791004 - 11*s**2 + 8*s - 6791006 to the form a*s**2 + j*s + z*s**3 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/((-21594)\/(-12)))\/1.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 12 = 6*p. Solve p*s - s = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 2\/3 (c) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*i - 31, -14 = -2*z + 29*i - 30*i. Solve 0 = -z*q - 22 + 49 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -383 + 368. Let z be (32\/80)\/(3\/(-5))*d. Let o(x) = x**2 - 10*x + 9. Determine o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 18*b**2 - 65*b - 32. Let j be q(-21). Solve 2*y + j - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69913321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6986?\nAnswer: 2, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose a = c - 46 + 11. Let f = c - 30. Solve 0 = -f*j - 0 + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268302 bigger than 268301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(12\/16*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + (-26)\/(-3))*3. Solve r + l*h + 4 = 5, -2*r - 13 = -h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17960645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34\/95 - 4\/95. Let t = 26\/99 + 16\/693. Let r = 17 - 25. What is the fourth smallest value in r, a, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxmysxasysxxxgsmass. What is prob of picking 1 a and 1 g?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(56\/(-58) + 1). Let n = -13 - d. What is the remainder when n is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170879626 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 2. Let m(y) = 19*y + 5. Determine 4*k(q) + m(q).\nAnswer: 15*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1520\/3387 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:15 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3714 divide 32708350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*h - 569*p + 567*p, -h = -2*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*c - 7. Suppose -3*x = -0*x - c. Suppose 6 = x*r - 0*r. Let z(s) = s**2. Let m(y) = -2*y**2 + 2. Determine r*z(i) + m(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2928)\/(-176) - 0) + -15.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - q**2 + 4*q**2 + 0*q**3 - 4*q - 4*q**2 + 28238.\nAnswer: -q**3 - q**2 - 4*q + 28238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 less than 324?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3186 + 4488 + 511 + 438 - 446)*(4*b - 5 + 5).\nAnswer: 32708*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 141*z + 33*z + 106*z.\nAnswer: -2*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4822 and 0.841.\nAnswer: 4055.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60855795.\nAnswer: 3, 5, 7, 11, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 6}. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 9. Let u(i) = -i**2 + 10. Let f be u(4). Calculate a(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 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: In base 10, what is -4 - 782?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58661302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 4*b**3 + 3*b**3)*(-2*b + 3*b - 2*b) - 6*b**4 - 11*b**4 + 12*b**4.\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*d**2*f**2 - 10*d**2*f + 4*d**2 - 3*f**3 - 2*f wrt f?\nAnswer: 118*d**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*k**2*u**4 + 11*k**2*u**2 + 32*k**2 + 4*u**4 wrt u?\nAnswer: -624*k**2*u + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77))\/sqrt(7) - sqrt(11))**2*-4.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*a - a = 21, -3*l = -2*a - 16. Calculate the remainder when ((-27)\/2 + 2)*(-14 + 12) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*x - 3449*x - 62947 = 0 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -159*i**2 + 7307*i + 413. Calculate g(46).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9018 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*v + 4*v. Suppose -v = -p - p. Let j be p + 0 - (-3)\/(-3). Which is greater: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 45. Let i(x) = 6*x + 2. Let r be i(a). Is 13 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00092152 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9822.87 decades to millennia.\nAnswer: 98.2287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1790 and 362970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23995619 and 5882.\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 divided by -162?\nAnswer: -182\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2296652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*b**2 - 170*b + 172*b + 4*b**2 - 3*b**2 + 0*b**2 + b**2 + (0 + 1 + 0)*(-2*b**2 + 3*b**2 - 3*b**2) + 3*b**2 - 3*b**2 + b**2.\nAnswer: 23*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y. Let r(g) be the third derivative of -3787*g**5\/30 - 2*g**2 - 1178*g - 1. Calculate r(a(u)).\nAnswer: -30296*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19216207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 6:10 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24325512 (base 6) in base 14?\nAnswer: -161d52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80654.944 - -80272. Let u = g + 383. Which is the third smallest value? (a) 2\/15 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2150*m + 3 = -2155*m, -12*l = -5*m - 51 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 11:40 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g - 3. Let b(v) = v. Let i(m) = -30*b(m) + 2*p(m). Is 5 a factor of i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b - 2. Suppose 5*h = 5*n, 4*n = -h + 9 + b. Suppose -2*p - n = -3*p. Solve o + p = -0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 2*i - 3. Suppose -2*c = -0*c - 4*m + 26, -2*c - 4*m = -6. Let b be q(c). Let y = b - -33. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:12 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224971028?\nAnswer: 2, 56242757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 3*d + 3. Let j be m(-2). Let t be (2 - 2) + (j - 5). Let n(x) = -x**2 + 2. Give n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -6 (b) 2\/39 (c) -3\/7 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 16112.\nAnswer: 161120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 131670 divided by -630\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011001111100001 - -1111?\nAnswer: 1010011001111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/3 - -7) + -1 + -5)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10643281 (base 9) in base 4?\nAnswer: -103231031221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 123 - 2*t**2 + 3*t**2.\nAnswer: 3*t**2 - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**3 - 14*c**2 + 4*c**2 - 380*c**4 + 246*c**5 - 3*c + 380*c**4 - 3*c**3 wrt c.\nAnswer: 14760*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**4 - 958124*t**3 - 38245594350*t**2 - 508647156848321*t + 7128558961768678.\nAnswer: -(t - 14)*(2*t + 79853)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, -29, -149, -349, -635, -1013, -1489, -2069?\n\"Answer: -g**3 - 31*g**2 + 54*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 - 17*a - 7. Let y be c(-7). Let z = 129 + y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 129526, 129528, 129530?\n\"Answer: 2*d + 129524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138250 divided by -25.\nAnswer: -5530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10944)\/(-945) + -12 - (-4)\/30.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -4*u + 38, u + 5*m - 5 = 0. Does 29 divide 10\/u*(-26 - 3)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3570 divided by 714?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-504)\/35)*1020\/850.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -2, -4, -490, 0, -38 in descending order.\nAnswer: 0, -2, -4, -5, -12, -38, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 10*u**2 + 19*u - 11. Let p be a(-7). Solve 5*n = -3*v + 18, -2*v - 4 = -p*n + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212424 and 3975.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 164, 373, 666, 1043, 1504?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*v = -86, -4*r = 4*v + 33 - 153. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skssskkskwk. Give prob of sequence skkw.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4 and 3\/((-2)\/2) + (-203)\/(-42)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30226039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24787976*g**5 + 11*g + 2316724?\nAnswer: -495759520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 3*d + 2. Let y be n(3). Suppose -4*a - 19 = -5*a + 5*s, y*a = -3*s - 1. Put -2, a, 1 in descending order.\nAnswer: a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o + 3. Let h(b) be the second derivative of 3*b**3\/2 - 3*b**2\/2 - 85*b. What is 6*h(k) + 7*l(k)?\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.3. Let b = -590\/3 - -195. What is the biggest value in b, t, -2\/25?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -9, 1\/5, 2, -11, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14456 (base 7) to base 10\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*v - 261*v - 247*v - 89*v to g*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/411 - -6979\/1644. Let r be ((-186)\/30)\/((-4)\/20). Calculate the common denominator of u and 0 + r*(-12)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/8 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 293311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*k**2*r**5 + 127*k**2*r**3 + 7*k**2 - 48*r**2 wrt r.\nAnswer: -600*k**2*r**2 + 762*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423 (base 11) in base 16?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -20) + -13 + (-4 - -9). Solve 108 = i*r + 88 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(320)*-5 + 5)**2 + 4.\nAnswer: -800*sqrt(5) + 8104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 - x**3\/6 - 3*x**2\/2 + 60*x. Calculate w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2. Suppose 4*j + 4*y = -16, 15*y = j + 18*y + 16. Let a(z) = 5*z**2 + 1. Calculate j*a(w) + 9*x(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 23, -7 in ascending order.\nAnswer: -7, 23, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-10 - -6) - (-1 - -6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120304 + 11314?\nAnswer: 132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -38.283 rounded to one dp?\nAnswer: -38.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2) + -28 + 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/42*6 + 12. Let z(i) = i**2 - 12*i + 17. Determine z(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 - -10. Let q(a) = -8*a - s*a**3 + 0 + 2 + 119*a**3. Let z be q(3). Put -2, -13, z in increasing order.\nAnswer: -13, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:43 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*a - 9*r + 6*r, 0 = -a - 5*r + 35. Let s(q) = 3*q**2 - 30*q + 13. What is s(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31116, 30656, 29426, 27042, 23120?\nAnswer: 17276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 381\/2 (b) -424 (c) -5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967502080 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04331792 - 0.01523725. Let t = s + -0.0284461. Let g = t - -0.087. What is g rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3221031 (base 4) to base 9\nAnswer: 22423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -486 in 0.4, -0.36, -17, 2\/7, -2\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from xpypppdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*d = -13, 23 = -5*d - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48808784*s**2 + 564*s - 69924?\nAnswer: -97617568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.52062 rounded to 2 decimal places?\nAnswer: 32.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose z = 2*n - 11, -3*n + 12 = -4*n - p*z. Calculate the remainder when (-70)\/4*15\/((-1650)\/88) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0, -26\/9, -1\/11, 55?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8*-42\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**4 + 35841*r**3 + 26748597*r**2 + 108*r + 9. Let n(k) = 3*k**4 + 8960*k**3 + 6687149*k**2 + 24*k + 2. Let i(o) = 9*n(o) - 2*w(o). Factor i(q).\nAnswer: 3*q**2*(q + 1493)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 35 + 4*f - 19 + 25*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*175\/300.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 2) + (-91)\/(-21). Suppose 2*z + 8 = -i - 3*i, 3*i + 6 = -2*z. What is the nearest to 1\/4 in -0.5, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101110011110111011001 (base 2) to base 9\nAnswer: -2771341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 24 = 3*r. Suppose -5*z - 2 - 13 = 5*q, 3*z + r = -5*q. Solve -6*p = -2*p + z*y + 12, -y = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 54 + 123. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7410, 26991, 59638, 105357, 164154, 236035, 321006?\nAnswer: 419073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9968 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045081 to four decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 + 30*s**4 - 5465*s**3 - 69310*s**2 + 306900*s + 847000 = 0. What is s?\nAnswer: -22, -2, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5476 - 5?\nAnswer: -5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k**2 + k - 1. Determine u(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6577 = -3*s - 0*d, 4*s + 2*d = 8770. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + (-3 - -15))\/70\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -36 = -5*l - 11. What is the second derivative of l + 3*q - 2 - 3 - 2*q**a wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1989 - 1882. Solve 105*y + 4 = b*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 10*u**6 + 67*u**3\/3 + 2*u + 38. Find the third derivative of w(m) wrt m.\nAnswer: 3600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(320)*-5)\/((sqrt(576) - (sqrt(576)*2 + sqrt(576) + sqrt(576) - sqrt(576))) + sqrt(576)) + 3)**2 + -1)*-2 + 0.\nAnswer: -394\/9 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466455 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 2*c + 10 + 0*c - 22.\nAnswer: -2*c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42039 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 794 + 786 = 7*r, -2*r = 5*p + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 832729.4 millennia in years?\nAnswer: 832729400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.1 (b) 3 (c) 3.1 (d) 7 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(sqrt(27) + sqrt(135)\/sqrt(5))**2 + 1.\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -2. Let g be 1\/(-3)*(-16 + o). Solve -4*f - f = g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*v + 3 = 0, -2*x + 4*x - 6 = -4*v. Suppose 0*j - 4*g = x*j - 93, -15 = 5*g. Suppose 0 = -5*b + 35 + j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 18 = -66. Let r(a) = -72*a + 56. Let w(d) = 288*d - 223. Let t(h) = m*w(h) + 26*r(h). Differentiate t(x) wrt x.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 - 1 + 1 + 1 + (-4 + 1 + 1)*(-1 + 2 - 2) + 1 + 0 + 0 + 8 - 7 + 9)*(-2*t - 2*t**3 + 2*t).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21689525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14942.2 rounded to the nearest one hundred?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 3333980 and 3333979 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 2, w: 4}. What is prob of sequence tw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 - 3*a**2 - 2*a**2)*(-456*a**2 - 124876 + 124876) - 4*a**4 + 3*a**4 + 3*a**4 to s*a**4 + b*a + d + h*a**3 + j*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 843489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 44*z**2 + 40*z + 3. Give v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c52d0 (base 15) in base 5?\nAnswer: -323300040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 2*v - 2*v)*(-931 + 1988 - 719) to r + a*v and give a.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - 0.1. Let p = -1 - b. Let v = -4315\/4 - -1078. Sort 5, p, v in ascending order.\nAnswer: v, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h*(h\/h**(3\/13))\/h*h*h)\/h*h)*h*h))*h)\/h**(-16)*(h**(-1\/5))**(-4\/7) assuming h is positive.\nAnswer: h**(7892\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.559836 rounded to two decimal places?\nAnswer: -6.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 + 122*z**4 - 2108*z**3 + 12812*z**2 - 19778*z + 8954 = 0.\nAnswer: 1, 11, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35*(-6)\/(-84)*(-12)\/(-70). What is the nearest to 1 in 3, m, -0.5, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(180) + sqrt(180) + 1*sqrt(180)*-2 + sqrt(180))**2 + 3 + 2*((sqrt(180) + 0)**2 + 3)).\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55937 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 2033.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -7\/24*r**4 + 0*r**3 + 2*r**2 + 0*r + 0. Let g(x) = x. Give l(g(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1190 and 2550.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188224951 = -267*p + 370438841 + 409311527. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49578 is divided by 935.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -4 (b) -0.2 (c) -0.08 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/48*((-3)\/(-17) - 13716\/(-5508)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + v. Let k be j(1). Suppose -36 = -4*w + k*w - 5*q, -2*q = 2. Let r = w + -29. Solve 5*f + r = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6710 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/3 + (4 - 0). Let p(w) = -w + 2. Let a be p(7). Suppose -4*y - 8 = 0, -10 = 4*r - 5*y + 2*y. What is the nearest to t in a, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 32, 123, 304, 605, 1056, 1687?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -c. Let l = c - -1. What is the least common multiple of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -3\/2, -1\/4, -0.2, -15, -5 in decreasing order.\nAnswer: -0.2, -1\/4, -3\/2, -5, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81889474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2385 or -81\/2?\nAnswer: 2385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 a, and 1 r when four letters picked without replacement from cpapapapraap.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 47*h + 315. Let d(y) = 10*y + 63. Determine -19*d(c) + 4*z(c).\nAnswer: 4*c**2 - 2*c + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9392 + -300607\/32. What is the common denominator of h and (-952)\/960 - (-1)\/(-3)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 - 2 + 3*r + 0*r. Let o(n) = 298 + 288 - 10*n + 290 - 879. Determine o(x(d)).\nAnswer: -30*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -v - 14, -7*v + 36 = -3*v - 3*d for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88540783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by 132\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136 (base 12) in base 3?\nAnswer: -2121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.06 (b) 0.1 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55\/4 + -14. Let d = 3837.5 + -3837. Which is the closest to 0.2? (a) 0.2 (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 5. Let v be n(0). Suppose -4 = v*b - 2*k, -5*k = b + 13 + 4. Let h be -6 + 3 + b + 7. Solve -y + h = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - -90 - (-117 - 26 - -162).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46466068800 rounded to the nearest one million?\nAnswer: -46466000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -207, -220, -243, -282, -343, -432, -555, -718?\n\"Answer: -j**3 + j**2 - 9*j - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296.2126ml to litres.\nAnswer: 0.2962126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by -1.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4 - 48*q**3 + 3*q**2 - 133*q + 1 wrt q.\nAnswer: 24*q - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48682 and 3?\nAnswer: 146046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 0 + sqrt(637))**2 - (sqrt(325) + 2)**2.\nAnswer: -20*sqrt(13) + 2219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30016 - -50630. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 21*z + 33. Let k(t) = -13 + 228*t + 1 - 235*t. Let m(u) = -4*h(u) - 11*k(u). Let p(d) = 3 - 3 + 3*d. Calculate m(p(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-4\/7))\/y)\/y*y)\/(((y**(-8\/11)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(243\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -2*h**7\/147 + 2*h**6\/21 + 152*h**5\/35 + 388*h**4\/21 - 64*h**3\/21 - 1024*h**2\/7 - 541*h - 4. Find u, given that n(u) = 0.\nAnswer: -8, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59683959 to the nearest 100000.\nAnswer: -59700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 57 - (4 + 2\/(-1)))*(-356)\/534.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -9 - 62 - 15 - (0 - 8 - -21)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (-7 - (-19 + 12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/15 or 343?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 3*i**2 + 2*i + 10. What is d(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 1004*q**7\/7 + q**5\/5 - 1315*q**3 - 1254. What is the third derivative of b(f) wrt f?\nAnswer: 120480*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0 + 1\/6*t**4 + 0*t - 2*t**3 - 4*t**2. List the prime factors of g(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503610906 to the power of 1\/3, to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2*q - 8. Let x = 6 + -44. Let j = x + 89. What is the remainder when j is divided by c(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513753051 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 138, 3, 5 in descending order.\nAnswer: 138, 5, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) - (sqrt(209) - sqrt(209)*1)) + sqrt(209))\/(sqrt(891)*2) + (0 + 2*4*sqrt(304))**2.\nAnswer: -sqrt(19)\/6 + 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 731 - 731 + 14*o**2 + (2*o + 4*o - 3*o)*(12*o - 4 - 13*o + 3).\nAnswer: 11*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 2 - (18 + -22 - 6)) + -29 - -6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 112.8, 810, 0.3, -0.1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 4*f - 6*r + 10*r, -4*f - 60*r + 59*r = 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13179*t**3 - 2 - 7731*t**3 + 38661*t**3.\nAnswer: 44109*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 + 142. Put -5, 1\/2, 0.1, r in ascending order.\nAnswer: -5, 0.1, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*v - 6*v - 13*v + (3*v - 2*v - 3*v)*(1 + 4 - 4) + (3*v - 2*v + v)*((0 - 2 + 0)*(1 + 1 + 0) - 43 + 7 - 9 + 1 - 5 + 2) to the form w + y*v and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2 + 3*b - 2)*(0*b**3 + b**3 + 0*b**3).\nAnswer: b**5 + 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 12114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12438, 12439, 12440?\n\"Answer: r + 12437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*j = -15, -50*q - j = -53*q + 35. Let n(c) = c**3 - 10*c**2 + 3*c - 27. Let h be n(q). Solve 0 = -0*o + h*o - 2*m + 10, -3*m + 15 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)*1)**2*6 + (sqrt(448) - (sqrt(448) - (-4 + (sqrt(448) - (0 + sqrt(448)))**2))))*4*5.\nAnswer: 53680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*k + 94*k + 200*k - 94*k as p*k + j and give p.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 32. Let g be m(15). Suppose -g*u = -3*w - 7, 3*u - 3 = w + 4. Solve -2*j = -5*h + 16, -u*h - 3*j - 2 = 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 25 + 4*w - 142 + 55 + 41. Give g(16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/24*2*(-9769 + 3)?\nAnswer: 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8810*n - 35246. Determine k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232221121 (base 5) to base 16.\nAnswer: -101748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18249 and 474.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by ((-288)\/168)\/(2\/(-28)*1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 11620*r**3 + 6633615*r**2 - 137135720*r + 130490480 = 0.\nAnswer: -1172, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763893839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3110 + 4559. List the prime factors of k.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 2. Let w(m) = 2*m + 17. Let h be w(-8). Let d be b(h). Suppose -r = -0*r - d. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42\/4*154 - -1 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001412 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 509*m**2\/2 - 24*m - 227. Is a(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 1:10 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-2) - (-3)\/6. Let a = t - -4. Solve -5*l + 0*i - 2*i + 15 = a, -2*l + 6 = -2*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 13*p + 30710272. Let u = -32355136 - p. Round u to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**5\/5 - 2*u**3\/3 + u + 14. Factor g(b).\nAnswer: (b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g - 2. Let q be n(1). Suppose m - 31 = -q. Let l(s) = -2*s**2 - 56*s + 62. Let v be l(-29). Solve -3*f = -v*a + m - 3, 0 = -4*a - 2*f + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 859*o**2 - 859*o**2 - 41 + 4*o**3.\nAnswer: -2*o**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14261794681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 take away 0.7223?\nAnswer: -139.7223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (13 - 3) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 704 + -703. Suppose 2*d - 3 = 1. Let x = i + d. Solve 7*v + 8 = x*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/12 - (-2 - 1). Let r = 0 - 0. Let v = r - 0.1. Is v smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (-5*(-4 + sqrt(700) + sqrt(700) + -2))**2).\nAnswer: -425388 + 36000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -5*a - 4*z + 242, 0 = 2*a - 4*z - 296. Solve 0 = -28*d + a - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -291\nAnswer: -2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -165*v + 80*v + 5 + 86*v - v**2. Let i(p) = 5*p - 1. Let n be i(1). Determine z(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 554906.\nAnswer: 3329436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -9 - 10 - (0 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183*l + 65440 = -109200 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 4762, 1, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8588953, 17177925, 25766895, 34355863, 42944829, 51533793, 60122755?\n\"Answer: -r**2 + 8588975*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 60. Let j be 10*-48*2\/b. Let p be (2\/(-8))\/(8\/j). Solve 5*l - 3*l = p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -102*p - 4436. What is the smallest common multiple of 164 and x(-44)?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/270 and 77\/181224?\nAnswer: 906120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 474 + -472. Which is bigger: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.465667 years to decades.\nAnswer: 0.8465667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19550 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 6, f: 6, i: 2}. What is prob of picking 1 f and 1 o?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 61 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 14. Let j(k) = k**2 + 12*k + 12. Let f be j(-11). Let i be (-8 + 9)\/(f\/(-11)). Let h be q(i). Solve 12 = 6*g - h*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = t - 2, q = -0*q - t + 8. Solve -7*z - 17 = -q*w - 3*z, 5*w - 21 = 3*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597 divided by 6?\nAnswer: -199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 24 = 5*w, 2*w + 0*w = -10. Suppose -2*b + 3 = u. Let s be (-96)\/(b*2\/(-375000)). What is s rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3174350 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 120*c - 1725 = 128*c - 23125 for c.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17236050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2. Let q(m) = -3*m**2 + 37. Give q(j(n)).\nAnswer: -75*n**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 0.03. Which is the nearest to -1? (a) 2\/29 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:09 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.72 + -0.72. What is the smallest value in -1\/8, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -1.3. Let w = l + 3. Let p = w + -3.99985. Round p to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/20 - 48\/(-60). Let b be (106\/318)\/(j\/(-6)). Solve -5*o = b - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5935496 divided by -6.\nAnswer: -2967748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5*l - 2. Give g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35579507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846*h + 129*h - 432*h - 19*h + h**3 + 79*h.\nAnswer: h**3 - 1089*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((3 + -1 + sqrt(112))**2 - (-5 + sqrt(112)*2) - ((0 + sqrt(112))**2 + 5 + 3)))*4.\nAnswer: 4 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 4*z + 2. Let y be 8 + 3 - (-3 + 2). Suppose n - y = 4*u, 2*n + 2*u + 3*u = -28. What is the units digit of b(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2 + 20*y - 20*y + 7*y = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2 - 7588064*u - 53116399 = 0.\nAnswer: -7588057, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 175 = -17*t. Is t equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 69 + 31 = q, 5*c + 2*q = 252. Suppose -50*f + 194 = -c*f. Let v = -58 - f. Calculate the remainder when 111 is divided by v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41324.\nAnswer: 2, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.5 + -0.5. Let v = 29 - u. Let s = 18.00000028 - v. What is s rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -534 less than 1?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from sssqskqqsskskqk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -968 - -1613. Suppose 2*u + 3*i - 212 - 427 = 0, 0 = -2*u + 3*i + h. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 5 - 5*l - 7 - 2. What is the tens digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.36335l to millilitres.\nAnswer: 92363.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2299) + 0 + -3)**2 + ((-1 + sqrt(2299))*4)**2 + -2*(sqrt(2299) + 0 + sqrt(2299)).\nAnswer: -550*sqrt(19) + 39148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1646*j - 25504. What is g(-14)?\nAnswer: -2460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4 - 90*l**3 + 736*l**2 + 3072*l = 0.\nAnswer: -3, 0, 16, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*sqrt(1700)*1 + -2)**2 - ((-3*(-1 + sqrt(68)))**2 - (1*sqrt(68)\/sqrt(4) + 4)).\nAnswer: 637*sqrt(17) + 60608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3032699.\nAnswer: 31, 97829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxrrdxxxdrxxrxd. Give prob of picking 1 r and 1 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 - 7322 = -144*f - 203*f + 84*f for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.67 rounded to one dp?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 1167166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + g - 6 = -g, -2*z = 5*g - 15. Which is smaller: z or 4\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/17)\/((-20)\/180).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 2*d**2 - 3*d - 4. Let r be p(-3). Let o(s) be the second derivative of -s**3\/6 + 5*s**2 + s - 24931. Calculate o(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - -26. Suppose -40*c + 208 = -27*c. What is the remainder when n is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 195810 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2998 (base 14) to base 8\nAnswer: -16332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + (7 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -5.25.\nAnswer: -26.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 20*c**2 - 3*c - 64*c**2 + 5*c.\nAnswer: -47*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 3. Let p(b) = 3*b - 18. Let i(z) = 6*j(z) + p(z). Let o(r) be the first derivative of 0*r + 3\/2*r**2 + 1. Give o(i(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u + 0 - 5*u**4 - 16\/525*u**7 - 2\/3*u**6 - 23*u**2 - 673\/150*u**5 - 12\/5*u**3. Solve v(r) = 0.\nAnswer: -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -10. Let q(u) = u**2 + 5*u - 2. Determine q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 = 98*s + 143*s - 3097 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 7*l - 33, 0 = -2*c + 123*l - 124*l + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-136)\/(-1275)*-15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5424 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39\/9)\/((20\/180)\/((-1)\/(-3))). Sort u, 5, 92 in decreasing order.\nAnswer: 92, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*p - 11 = 0, 2*p + 0 = -f - 1. Let h(i) = -4 + f*i**2 + 16 + 14 - 4*i + 15*i. What is the units digit of h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 107538101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*l, -2*l - 15 = 5*z - 7*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -3.3, -0.08, 3, -1, -5 in descending order.\nAnswer: 3, 2\/9, -0.08, -1, -3.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 2*p + 1. Let h(l) = 46*l**2 + 11*l + 3. What is -4*g(q) + h(q)?\nAnswer: 38*q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - g = 8, -2*x - 8*g = -4*g + 4. Suppose 0 = -q + x*q. Let v(d) = -d**2 - d. Let t be v(q). Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (239 - 290) + (0 - 0)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*q - 120, -q + 11 = -3*a - a. Suppose -q = -l - 127. What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56973939*a**2*j**2 + 2*a*j**2 - 11*a*j - 2075*a - 8*j**2 + j + 8 wrt a.\nAnswer: 113947878*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -9. Suppose j*l - 164 = 2*l. Round l to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8160 - 7210 = -95*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 1. Let l be r\/3*(-9)\/6. Let y(n) = 6*n**3 - 5*n**2 + 3*n - 3. Let x(m) = 16 + 14 - 5*m**3 - 28 - 2*m + 4*m**2. Calculate l*y(g) + 5*x(g).\nAnswer: -g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (97\/(-3))\/(2*1\/(-90))?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008421789 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -21*x + 174. Let w be a(2). Calculate the greatest common factor of 1155 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) -1\/6 (c) -0.194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*(-3)\/(-9))\/(1\/(-1236)). Let k = -564 + n. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 364 - -150. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.73? (a) -0.2 (b) 1 (c) 1.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1454 + 0.0454. Which is the closest to -2? (a) 2\/9 (b) 3 (c) j (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*k + 30, -4*k - 2*v = v - 23. Let t(d) = -2*d + 55. Let g be t(26). Factor 6*o**2 + 8*o**3 - 5*o**3 + 0*o**k - 6*o**g.\nAnswer: -3*o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(-6) + ((-565)\/(-10) - 55)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.902352 decades to years.\nAnswer: 69.02352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/30591 and 29\/158917?\nAnswer: 441948177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1489135827, -1489135826, -1489135825, -1489135824?\n\"Answer: u - 1489135828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, -560, -1 in increasing order.\nAnswer: -560, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 2*f, -4*q = f - 4 + 11. Let d = 9 - f. Let n(l) = -3 + 3*l + 0*l - 2. Give n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a + 406. Let l be g(-32). What is the greatest common factor of l and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a - 33447190783 + 33447190783 + 7*a.\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*p - 22, 4*z - 4*p - 7 = 13. Is 18 a factor of -3 + (z - 5) + (-978)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 4*f**2 + 2*f - 10. Let l be x(3). Let h(k) = -2*k - 5. Let r be h(-4). Solve -2*z + l*z = r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 10211221?\nAnswer: 10212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*d - 5*d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135250 is divided by 5628.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-564)\/(-36) - 15 - 220\/(-66). Factor -45\/2*g**2 - 2 + 49\/2*g**u - 14*g + 14*g**3.\nAnswer: (g - 1)*(g + 1)*(7*g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342394786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 27. Let s(m) = -3*m + 5. Let r be s(b). Solve k = 2*d + 5, -k + 1 = 3*d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700878349?\nAnswer: 31, 61, 281, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + (sqrt(128) - (sqrt(128) - sqrt(128)*2))*-4)*-2)**2 + 2 + -3 + 1*sqrt(128)*4*-4.\nAnswer: -128*sqrt(2) + 25087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-68)*8\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*g + k - 7, -20 = 5*g - 5*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50789704 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*c**4 - c**3 + 8*c**2 + 52?\nAnswer: -1320*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11975768 or 11975704?\nAnswer: 11975768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17db - 7?\nAnswer: -17e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7026779.\nAnswer: 691, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4139 divided by -4.\nAnswer: -4139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -60. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.1276 and -5.45.\nAnswer: -11.5776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214*a**3 + 286843*a**2 + 329231069*a?\nAnswer: 1284*a + 573686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 11*f + 22. Suppose -7 = 4*i + 9. Let d be -2 + ((-40)\/6 - i\/(-12)). Let g be x(d). Solve 3*t - 4*w - w - 15 = 0, -t - g*w = 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -846, -846, -836, -810, -762, -686?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1132\/7 - 7205\/42. What is the common denominator of j and ((-5)\/(-8))\/((-3)\/30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 3*l**2 - 52*l - 464. Calculate a(-8).\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(150\/(-5014)) + (-4)\/30. Suppose d - 5*j = a, 3*d + j = -0*j + 565. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2. Let d = -2.904 - 0.096. Let t = 0.39 - 0.09. What is the nearest to n in 4, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 4962178.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 30072?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1003310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 23*n + 28 = 0. Solve -3*k + 3*b = 12, -5*k + 3*b - 20 = n*b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1 - 3 + 10*s - 9. Let n be i(3). Find the second derivative of -8*x**2 + 6*x**2 + 3 - 3 + n*x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27427\/3 + 9143. Let u = 57 + -284\/5. What is the second smallest value in 0.8, -4\/3, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39341)\/3*1\/(-2139). Let o = z + -14\/713. Let t = -4\/125 + 4157\/1000. Calculate the common denominator of t and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0257 and 0.4.\nAnswer: 0.01028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oszbosnozzszbsbszznz. What is prob of picking 1 n, 2 o, and 1 z?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28428451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, 2, -2 in decreasing order.\nAnswer: 5, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7)*1 - sqrt(7)))**2 - (sqrt(28)*2)\/sqrt(4).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*x = 57*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -87, 0, -3\/4, 5?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8106 and 3318.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 2*z = 0. Solve 4*f - 2*p + 3 = 9, z = p - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 4*j - 4*j)*(-4*j**2 - j**2 + 4*j**2) - j**5 - 2*j + 2*j + (12*j**3 - 12*j**3 + 4*j**5)*(-1 - 1 + 0).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 135.6?\nAnswer: -40.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8 - (54 - 49)) + (-16 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 317*z**2 - 10*z - 3. What are the prime factors of t(-2)?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62129430 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1340.7+-2\nAnswer: -1342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -23. Let w = y - -3.1. Let r = -35 - -176\/5. What is the third smallest value in 0.4, w, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8820 divided by 60?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 t when four letters picked without replacement from sffffststfsftsttty.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -8)*(-1)\/(-2). Let d(z) be the first derivative of -z**2 - 44*z - 68. Let c be d(i). Round c to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97665 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: Let m = -74.13 + 74.03. Sort 0.2, m, -6\/11, -0.4, 1\/3 in descending order.\nAnswer: 1\/3, 0.2, m, -0.4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 8 - (-33 + 12 + 16 - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -12 (c) 10727\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + sqrt(931))**2 - ((sqrt(19) + -1)**2 + 2)).\nAnswer: -913 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0 (b) 10 (c) -30 (d) 2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -111988?\nAnswer: -111985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17698 is divided by 791.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnohnhoohhhhhgh. What is prob of picking 1 o, 1 h, and 1 n?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207893222 a multiple of 4374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5728447 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -18. What is the highest common divisor of 128 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*z - 29, t + z + 5 = -0*z. Let n(v) = v**2 + 10*v + 20. Does 7 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b3b4 (base 14) to base 11\nAnswer: -142607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*c - 9 + 32, 4*c + 2*k = 20. Let i(q) = q**3 + q**2 - 6 - 5*q + 0*q**c + 3*q**2 - 1. Suppose -2*u = u + 15. Calculate i(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 266 = -5*y + v, 2*y = -3*v + 113. Calculate the remainder when y is divided by ((-15)\/(-4))\/(12\/64).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -66. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 11:54 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 1 + 8 - 9*r**2 - 9.\nAnswer: -9*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(1\/4)*p*p)\/p)\/(p\/p**(6\/5)))**(-28) assuming p is positive.\nAnswer: p**(-413\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -110 - (2 - 2)\/2. What is the common denominator of 2\/(-10) - (-148)\/m and 3 - 1 - 122\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7254660 divided by 5.\nAnswer: -1450932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*z**3 - 2\/7*z**5 - 2\/7*z**2 + 0 + 2\/7*z**4 + 0*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 3, j: 1, l: 3, m: 2, p: 2}. Give prob of sequence wmms.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 4 + 4)*(-157 - 58 + 20 + (0 + 4 - 3)*(4 - 2 + 0)) as g*d + j and give g.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 6*a**2 - 30*a + 9. What are the prime factors of l(7)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t**3 - 2*t + 1. Let l be m(1). Let u(w) = -w**2 + 2*w + 85. Let a be u(-7). Let h = l + a. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 12*k**2 + k + 12. Let o be p(9). Let c = -165 + o. Let s = -35 + c. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/33411 and -95\/1554.\nAnswer: 66822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15*w + 27. Determine s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 29. Let o = -7.8 + l. Let r be 2\/(-1 + -1) - 2. Which is the third biggest value? (a) -1 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/4)\/(-6*2\/(-32)). Let g be 3*(1 - -3 - 2). Let o be g*8\/6 - z. What is the greatest common divisor of o and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + -113. What is the greatest common factor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451 times 0.9\nAnswer: -405.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g. Suppose -3*l + z = -4*l + 11, 2*l - 3*z = 22. Let x(t) = -3*t**2. Let n(v) = 5*v**2. Let f(m) = l*x(m) + 6*n(m). Give j(f(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 724813000 rounded to the nearest one million?\nAnswer: 725000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/2340*(-6)\/(-8)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29*26\/(-3016)*10*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/4 + 27658855*g\/4 - 27658853\/2 = 0. What is g?\nAnswer: 2, 27658853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 1, m: 10, e: 3, n: 3}. Give prob of sequence nmb.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -30, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:17 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 - 11 = 0. Let o = -78 + 110. Let w be 7\/9 - o\/(-144). Solve -15 - w = d*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -32*s**3 + 6*s**2 + 217*s + 866. What is the lowest common multiple of k(-4) and 20?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -469851 or -8927192\/19?\nAnswer: -469851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3\/5 - 63*v**2\/5 + 42*v - 144\/5 = 0.\nAnswer: -24, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - 20*z**2 - 4*z**2. Let i(c) = 91*c - 9. Let v(y) = -20*y + 2. Let j(k) = -2*i(k) - 9*v(k). Calculate j(h(b)).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4108.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -18.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = 0. Suppose 4*l - 3*l + 2 = a, 0 = 2*v - l - 6. Suppose 2*x - 61 = -0*x - k, -90 = -3*x - v*k. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 848835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 11201?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1047.9 - -1048. What is the closest to i in 0.3, -1.7, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 5\/6 (c) -5\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1096.246 to the nearest 10.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319216 and 5416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11772 divided by 5?\nAnswer: -11772\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/120)\/(3\/(-10)) - 18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3780\/1470)\/(12\/21)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 + 253698*r\/5.\nAnswer: 3*r*(r + 84566)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:04 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 10. Let z be s(-17). Let m be (z\/2)\/((-2 - 1)\/6). Solve m*c = 21*c + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Let y be ((-45)\/j)\/3*-2. Solve y*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -2 - (3 - -28 - 38).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/60 - 5*v**4\/24 + v**3\/3 - 86*v**2 + 2*v. Let l(h) = 2*h**2 - 9*h + 5. What is -2*l(g) + 5*x(g)?\nAnswer: g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82841, 83890, 84939, 85988?\n\"Answer: 1049*r + 81792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(121) + sqrt(121)*-5) - sqrt(121)) + sqrt(121))\/(sqrt(1331)*-1).\nAnswer: -8*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/69 and ((-98760)\/(-3366))\/(-10) + 8 + -5.\nAnswer: 12903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 7*b + 5. Let j be f(7). Suppose -8 = 4*l - j*l. Solve -x = x + l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1663 (b) 4 (c) 0.42 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**2*t**3 + l**2*t**2 - 2*l*t**3*w**2 + 45*l*t**2*w + 25*t**3*w**2 + 17*t**2*w**2 wrt t?\nAnswer: -6*l**2 - 12*l*w**2 + 150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7516 - -13?\nAnswer: -7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-55)\/(-20))*-21*2\/(-24)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/4 - 1904*i = 0.\nAnswer: 0, 7616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -3, 6, -219, 1, -2 in descending order.\nAnswer: 6, 1, -1, -2, -3, -5, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 6875676.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-21 - -18 - 15 - 13)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -640*u**2 - 19*u**4 + 640*u**2 + (0*u + u - 3*u)*(u**3 - 2*u**3 - u**3) + u - u - u**4.\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30739.\nAnswer: 59, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/(-12)*(-3 - 471\/(-9)). Let y = 713 + u. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + k**2 + 4*k - 6 + 4*k - 11. Suppose 40 = -4*i + 3*q, -2*i + 2*q - 4 = 14. What are the prime factors of x(i)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-3)\/((21\/(-2))\/(-7))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.789 to 0 decimal places.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*u + 26. Suppose 7*t + u - 108 = 0. Calculate the remainder when 82 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.918 + 0.082. Let l = 8 - 13. What is the closest to 0 in l, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0 + 0*t + 3*t**2 + 1\/2*t**4 + 49\/3*t**3. Is h(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*z - 25, u = -2*z - 1 - 0. Suppose -17*m = -157 + 123. Let f be 2 + m + 56\/(-8). Is u less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5\/5 - 3*o**4\/5 + 1114*o**3\/5 + 4983*o**2\/5 + 7168*o\/5 + 660 = 0?\nAnswer: -22, -2, -3\/2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -93*g**3 + 263*g**2 + 4*g - 5. Let d(q) = 9*q**3 + q**2 + 2. Calculate the remainder when z(2) is divided by d(2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19309601.\nAnswer: 67, 288203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1701.0988 - -1697.1. Let h = 58 + -62. Let o = h - k. What is o rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 3, -1, -4 in decreasing order.\nAnswer: 3, -1, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -16*b**4 + 4*b**3 - 74*b**2 - 4*b + 2526. Let u(z) = 3*z**4 - z**3 - z**2 - z + 3. Let d(m) = s(m) + 4*u(m). Differentiate d(t) with respect to t.\nAnswer: -16*t**3 - 156*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 7*n**2 + 8*n + 3. Let x(p) = -4*p - 13. Let t be x(-2). What is the remainder when 51 is divided by b(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90629, 181340, 272039, 362720, 453377?\nAnswer: 544004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(21)\/(sqrt(3)*1) - sqrt(84)\/(sqrt(1200) + (sqrt(1200) - (-1*sqrt(1200) + sqrt(1200))))))**2.\nAnswer: 114*sqrt(7)\/5 + 6127\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6357468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.3 - -24. Let v be ((-2)\/(-3))\/((-8)\/(-462)). Let g = v - 37. What is the third biggest value in -2\/13, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrk when three letters picked without replacement from zzkzzrkzkkrr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 289.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**2 + 2*a - 1. Let s = 5 + -4. Let b be v(s). Suppose -12*q = -8*q - b. Solve q*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 427 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0) + 1 + 0. Let g(m) = -6. Let l(j) = 1. Let s(r) = t*g(r) + 11*l(r). Let f be (-2)\/(-3) + 30\/9. Let c(d) = d**2 - 2*d + 4. What is f*s(q) + c(q)?\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5953 - 4297. What is the greatest common factor of f and 1152?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41347056, 82694106, 124041156?\n\"Answer: 41347050*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -35297.\nAnswer: -35297.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.66 + 42. Let v = 0.14 - k. Let r = v + -0.9. Which is the closest to r? (a) 1 (b) 4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237403983 by 79134661.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 52, 77, 112, 157?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 5\/174, 1\/2, -6?\nAnswer: 5\/174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 h when four letters picked without replacement from {y: 3, o: 1, h: 2, x: 3, t: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16651 and -107.61.\nAnswer: -1791814.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -557879.75 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 14*t - 24. Let y(n) be the first derivative of 5*n**2\/2 - 8*n + 1. Let b(j) = 4*r(j) - 11*y(j). Let w = -3 - -8. What is b(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195755)\/(-31960)*(-388)\/7)\/(14\/(-4)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/((-18)\/(-54)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:19 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2. Let n(t) be the second derivative of -397*t**3\/6 + t + 406. Give n(b(z)).\nAnswer: -794*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q - 13. Let l be x(3). Suppose 1 = 5*u - g - 3, -u + 5 = 4*g. Suppose 5*d - 11 + u = 0. Solve -l*c + 15 = 4*s, -s - 6 = d*c - 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1918525 * 129\nAnswer: 247489725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((16 + -4)\/4 - 5) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18864429, -18864430, -18864433, -18864438?\nAnswer: -18864445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 11*z - 14. Let g(u) = -u**2 + 5*u + 1. Let w(b) = 4*g(b) + n(b). Let h be w(6). Round h to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 636 - 635.36. Round b to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:59 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -1685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.79 + 46.1. Let h = g + -6.31. What is the nearest to 4\/7 in h, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j*j**(2\/7))\/j*j)\/j)*j*j**(-3))\/(j*j**(-12)*j*j\/(j**10\/j)) assuming j is positive.\nAnswer: j**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 + 876*h + 1755. Let d(r) = r**2 - 437*r - 874. Let c(u) = 9*d(u) + 4*t(u). Factor c(g).\nAnswer: -3*(g + 2)*(g + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - v**2 - 1 + (-4*v - 3*v + 9*v)*(3*v - 4*v + 0*v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2*u**6 + m**2*u**2 + 124*m**2 + 19*u**6 wrt u.\nAnswer: 120*m**2*u**3 + 2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 56.6?\nAnswer: -11.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -84438.22 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**3\/3 + s**2\/2 - 17*s. Calculate f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, v: 6, u: 1, m: 4, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 + -22?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*i**4 + i + 918.\nAnswer: 256*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 70, -2 in decreasing order.\nAnswer: 70, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*f**2 + 2\/11*f**5 + 0*f - 2\/11*f**4 + 0 - 2\/11*f**3 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2458 and 90975\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16240 + -16240. Let q be (-60)\/259 - (-4)\/14. Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*j - 18. Let z(v) = -9 + 2*v**2 + 2*v**2 - 5*v**2 - j*v. Let f be z(-8). What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294803673 is divided by 98267889.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*h + 2527, 5*w - 4*h = -0*h + 12591. What are the prime factors of w?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**3*h - 3*c**2*h + 3*c**2 - c*h - 9*h + 7 wrt c?\nAnswer: 42*c*h - 6*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535 = 27*i + 12*i + 145 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-32)\/((w*w**(-4\/5))\/(w*w*w*(w*w*w**(-2\/9)\/w)\/w*w))*((w*w*w**1)\/w**(5\/3))\/w**(2\/15) assuming w is positive.\nAnswer: w**(-245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-1944))\/((-6)\/(-4)). Let s = x - -5785\/22842. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -915 - -920. Let c(v) = -2*v. Let l be c(-1). Find the third derivative of -15*j**3 - j**3 + s*j**l + 4*j**2 + 16*j**2 wrt j.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, p: 10}. Give prob of picking 1 p and 2 t.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmbmmmmb.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -32. Let c = l + -41. Solve -c*g + 0 = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51297 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1968997 take away -681?\nAnswer: 680.8031003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 3250.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.09 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776159.\nAnswer: 776159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, -4, 68 in increasing order.\nAnswer: -4, -3, -2, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 137481173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*c - 162*c = 708*c + 517*c - 63990 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722 = -2*v - 3*t + t, 5*t + 20 = 0. Let l = 844 + v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676648275?\nAnswer: 3, 5, 9021977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = 184. Suppose -3*b + f = -t, -t - t - 78 = -5*b. What is the remainder when 1*2*4*5 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 - s**2\/2 - 5. Let i be t(2). Is 4\/(-12) - (-218)\/i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 6. Let h(t) = -1. Let g(s) = -1. Suppose 0 = -4*m + 2*m - 8. Let j(z) = m*h(z) + 5*g(z). What is 4*j(k) - x(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25356 + -25358. Is 12861 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**20*z**(-1\/5)\/((z*z\/((z\/((((z**(2\/9)*z)\/z*z)\/z)\/z))\/z*z))\/z)*(z**(2\/5))**(-2\/45)\/(((z*z**(1\/4))\/z)\/z)**(-4\/5) assuming z is positive.\nAnswer: z**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 10*y - 4*y)*(-9*y + 19*y - 12*y) as z*y**2 + c*y + i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g - g. Let i(k) = k**2 - 18*k - 21. Let q be i(18). Let l be 66\/q + 132\/(-154). Sort l, 1, g, -10 in descending order.\nAnswer: g, 1, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 1\/30*r**6 + 0*r**3 + 4*r**2 + 0 - 1\/60*r**5 + 0*r + 0*r**4. Find the third derivative of s(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/12 + l**3\/3 - 2*l**2 - 4*l. Is 22 a factor of q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563852652.\nAnswer: 2, 3, 11, 4271611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2222, 2220, 2216, 2210, 2202, 2192?\n\"Answer: -l**2 + l + 2222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-12))\/(133\/(-228))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. Let q be 0 - x - (-3 + 1). What is the second derivative of -3*f**4 + 3*f + f**q + f**4 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 13*l - 33. Give k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385980 is divided by 2987.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**2\/2 + 14*d + 1. Let y be o(-10). Suppose -2*q - 5*m + m + 14 = 0, -y*q = -4*m - 28. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-0.09.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1488 and -45\/471014.\nAnswer: 11304336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/3 + 1 + -2. Suppose g - i*g = -15. Suppose g*p - 2*p = 21. Is p 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? (a) 8241.17 (b) 10\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -28. Calculate the greatest common divisor of 23 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8413878 by -82489.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 1 - 1)*(-3*g + 14 - 14) - 2*g**2 - 3*g**2 + 6*g**2 + (-14 + 6 + 7 - 3*g)*(-4*g - 6 + 6).\nAnswer: 7*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let x(i) = i**3 + 5*i**2 - 2*i - 6. Let w be x(-5). Let f = w - 3. Let j(k) = 1 - 4*k - f. Determine h(j(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*(-5 + 11). Find j such that 3*j**t - 68 + 68 + 0*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21) - (-76)\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(3 - 1 + 2)*(-2 - 2 - 5)*(-10*r + 19 - 19).\nAnswer: -720*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45.36 + 45.3599996864. Round d to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-8))\/((-3)\/(-6)))\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -37*h + 4. Let r = 2045 + -2041. Let w(v) = 2405*v - 259. Determine r*w(l) + 259*p(l).\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**7\/3360 - b**6\/720 + b**5\/480 - b**3\/2 - 3*b. Let k(f) be the second derivative of w(f). Factor k(h).\nAnswer: h*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 498 - 496. Suppose -5*t = 8 - 23. Solve -3*x = -j*x - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**7\/420 - 7*q**6\/120 + q**5\/120 + 7*q**4\/24 - 585*q**2. Determine u, given that l(u) = 0.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 416 + -376. What is the highest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 5. Let l(z) = 10*z**2 - 13*z - 16. Let v be l(-5). Let q be (0 - -2) + v\/(-115). What is the second biggest value in -2, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1\/4, 0.66, -8 in decreasing order.\nAnswer: 2, 0.66, -1\/4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-26) - 15\/(-13)) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7))**(2\/11)\/((z*z\/((z**(-9\/2)*z)\/z)*z)\/(z\/((z\/z**(2\/13))\/z))) assuming z is positive.\nAnswer: z**(-12653\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 196359 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130285989*p**3 - 3*p + 7319421?\nAnswer: 781715934*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {b: 1, a: 2, k: 1, s: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3196 + 3191. Let y(h) = -5*h + 19. Determine y(g).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(153)))**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.119 + -8.119. Which is bigger: r or -29?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1820626 divided by 1\nAnswer: 1820626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -1\/2 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/2 (b) 0.3 (c) 8.866\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in 2, -7\/256, 0.04?\nAnswer: -7\/256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Let l = -5.85 - 0.15. Put -2, z, l in descending order.\nAnswer: z, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1 + 31*k - 36*k + 28*k. Is t(6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -9440\/17 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792454 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61939, 247829, 557647, 991393, 1549067, 2230669, 3036199?\nAnswer: 3965657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132131790 divided by 44043930?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3647 from -19.\nAnswer: -3666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25773 or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/21)\/(k**(-5)\/k)*k**(-4\/3)*k*k*k**(-1\/20) assuming k is positive.\nAnswer: k**(913\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 28*l**3\/3 - 2*l - 2197. Let p(f) = -10*f**2 - f. Determine p(b(v)).\nAnswer: -31360*v**2 - 56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -101121202010 (base 3) to base 6\nAnswer: -4251433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-22)\/55)\/((-16)\/(-1900)) and -101\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from uueuomueu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12.1. What is the closest to p in -0.2, -5, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18824207*j + 18824207*j + 10*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -14. Let n(p) be the first derivative of p**5\/20 - 7*p**4\/12 + p**3 + 3*p**2 + 35*p - 6. Let t(u) be the first derivative of n(u). Determine t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -79.\nAnswer: 31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*s**4 + 2*s**3 - 524*s**2 wrt s?\nAnswer: -3432*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -440 - -537. What is the remainder when k is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3007 - 10299.\nAnswer: -7292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -138, -331, -628, -1023, -1510, -2083?\n\"Answer: z**3 - 58*z**2 - 26*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 3000.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7479449297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*y**3 - 9*y**2 + 1721*y - 9.\nAnswer: 1788*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyy when three letters picked without replacement from {g: 3, d: 1, c: 3, y: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270600 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 - 3*d**3 + 46 + 50 + 291 + 2*d**3 + 35.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(3 + 1*sqrt(684)))**2 + -5.\nAnswer: 5184*sqrt(19) + 99787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20781.29 millilitres in litres?\nAnswer: 20.78129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 96 = 4*v + 2*l, -4*l + 31 = v. Let g = 29 - v. Is (68\/g + 3)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/4 - 19*n**2\/4 - 4841*n\/4 + 165675\/4 = 0.\nAnswer: -75, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9584 + 9584 - 3*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*j**3 - 162940*j**2 - 5727511*j - 49801856.\nAnswer: (j - 1664)*(10*j + 173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -n - 32, n + 25 = l. Let x(q) = -240*q + 119. Is x(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 10, -1, -41.\nAnswer: -41, -6, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16887 - -15?\nAnswer: 1689c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-3)\/24*-4). Let q(c) be the second derivative of 2*c - 7\/36*c**z + 0*c**2 - 1\/45*c**6 - 7\/60*c**5 + 0 - 1\/9*c**3. Solve q(j) = 0 for j.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 16471?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2580 - 2519. Solve 0 = -2*y - 4*n + 18, w*y + 2*n = 66*y - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j - 92. Let b(r) = 5*r + 45. Let l(k) = 5*b(k) + 2*x(k). Let d be l(-8). What is the greatest common factor of d and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*p - 60. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 + 5387*j**2\/3 + 9606056*j\/3 + 5676017020\/3.\nAnswer: (j + 1646)**2*(j + 2095)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 63.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 732\/(-144) + (2 - -3 - 3) - -3. Which is the fourth biggest value? (a) r (b) -0.5 (c) 5\/3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2046312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27292*z**2. Let i(x) = 12*x**2. Give i(s(h)).\nAnswer: 8938239168*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:44 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(48\/15))\/((-1)\/(-4)). Let v = x - -49. Does 43 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcjarcr. What is prob of picking 1 c and 1 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) + (-2)\/9. Suppose r = -5*q - 4 - 6. Let u = 313\/22 + -895\/66. Which is the nearest to q? (a) u (b) -2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20384 is divided by 486.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*h + 671629 - 1336938 + 673261 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 4*y**2 + 3*y + 2. Let u = -1 + -2. Let s be b(u). Is (4\/4)\/(s\/44) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*o - 3, -642 = -f - o. Let h = f + -253. Suppose 4*w - 47 = 5*i - h, -3*w - 15 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 26*t**2 - 12*t - 27. Let k be 35*(-4 + 6 + -3 - 0). Let x = 27 + k. Is a(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {d: 2, u: 7, v: 9}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -83711, -167422, -251127, -334820, -418495, -502146, -585767, -669352?\n\"Answer: t**3 - 3*t**2 - 83709*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sabb when four letters picked without replacement from {k: 1, s: 4, a: 5, b: 9, d: 1}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.869943 to 2 decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-16)*(-850)\/595?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 397. Let a(c) be the first derivative of -c**4\/12 + 3*c**2 - 4*c + 195. Let n(f) be the second derivative of a(f). What is n(y(q))?\nAnswer: -2*q**2 - 794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -360 - 193. Let d = c + 2766\/5. Is d > 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2799 + 2798.9999713. What is x rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1364\/(-248))\/(2\/(-4)) + 175\/(-7)*3.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -14*p - 2*y + 414, y + 298 = 3*p. Solve 15*d = -41 + p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-233)\/6524 + 85\/28. Solve 17*k + 42 = -3*i + 22*k, 24 = -v*i + 3*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/69, -0.4, 1\/10, -119, 4 in decreasing order.\nAnswer: 4, 1\/10, 5\/69, -0.4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 12) to base 8.\nAnswer: -1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491 - 481.18. Let m = -14 + t. What is m rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0 (c) -10 (d) -253\/3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -149. Suppose 4*q - q + b*s = 110, 5*q - 204 = 2*s. Calculate the highest common factor of 64 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = -4*l, 0 = k + 4*l + l + 3. Let h be 0*(k - -4) - -3. Let y(b) = b**3 - 5*b**2 + b + 4. Determine y(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 86. Suppose -147 + 3 = 2*t - 4*p, -t + p = 68. Let x = t - l. Solve h + 12 = x*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:46 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1071)\/70)\/(-3)*41\/((-2829)\/46).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/((g*g**3)\/g))*g\/(g\/g**(2\/33)*g)*g**(2\/13)\/(g**(-19)*g) assuming g is positive.\nAnswer: g**(8672\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 0 + 0*p - 2 + (0 - 1 - 2)*(7 + 2*p - 7) to the form n + z*p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58682 and 518.\nAnswer: 410774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 61?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 4*p + 14. Let h(t) = -t + 9. Let r be h(3). Let a be b(r). Suppose a*i - 125 = -3*i. Calculate the greatest common factor of 275 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -178 and 84986588.96.\nAnswer: 84986410.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4) + 0 - -10. Let g = -33 + p. Calculate the common denominator of 52\/9 and 273\/g + 4 + -4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m + 24*m - 42*m**2.\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002497441763 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n + 79. Suppose -6*b - 335 = -419. List the prime factors of w(b).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2142, 0.2, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096239 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: In base 6, what is 15 + -5440233?\nAnswer: -5440214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -54. Let p be (-12)\/d*(-1300)\/(-78). Solve 2*m + 5 = -3*t, 0 = -m - 2*m + 5*t + p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*i - 0*i + 33*b - 40, 7*i + 67 = 1258*b - 1263*b for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = j - 84774312 + 378774290, -235199990 = -4*k - 3*j. Let q be (-28)\/(-21) + k\/3. Round q to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**3 + 68*c**2 + 2.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 19 - -22) + -2 - 20\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - v - v)*(-v**2 - 2*v**2 + 5*v**2) + 5*v**3 - v - 11*v**3 - 14*v**3 to r*v**2 + j + g*v + b*v**3 and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 + 10*m - 12. Let r(d) = d**3 - d**2 + d - 1. Let q(k) = c(k) - 6*r(k). List the prime factors of q(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 6*k**3 - 3*k**3 - 52.\nAnswer: k**3 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399184 and 12200.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keuueeeueukueeekk. What is prob of sequence kkk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19043 is divided by 695?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*o - 172, -o - o - 8 = 0. What is the remainder when 42 is divided by d\/(-1)*3\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 2. Let n be g(-6). Let f be 44\/n - 4\/(-14). Let j(s) = s**2 + 4*s + 4. Let h be j(-4). Sort h, -1, f in descending order.\nAnswer: h, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 divided by 3\nAnswer: -254\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) 7 (c) -2 (d) 0.5 (e) -0.3 (f) 3 (g) -0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a, 0*a + 20 = 5*p - 2*a. Let m = 281.2 - 309. Let b = 17.8 + m. What is the closest to b in p, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 + (34 + 18 - 79)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/16)\/((6138\/5808)\/(-31))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -131*q**2 + 144. Let d(o) = 2*o**2 + 1. Suppose -55*z = -51*z + 4. Let g(c) = z*d(c) - l(c). Differentiate g(w) wrt w.\nAnswer: 258*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 22 = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015232268 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -495576574*s**3 - 794368577*s wrt s?\nAnswer: -2973459444*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -284 + 432. Suppose -306 = -2*t + 2*x, 4*t - i = 3*t + 2*x. Calculate the greatest common divisor of 869 and t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(80\/(-12)))\/((-6)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*n)*(2 + 2 - 5) + (16 - 6 + 0)*(n - 2*n - n).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/6 + h + 4. Let n(o) = 4*o**2 + 10 + 4*o**2 - 10. Give n(s(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = l - 2*k, -2*k - 3*k = -2*l - 53. Let h = l - -34. Suppose -9 = 3*u - 39. What is the least common multiple of u and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 62. Suppose -652 = -o*c - 244. Is c + 1 + (5 - 2 - 3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 4*y - 32, 1297*r - y - 13 = 1301*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15086*d - 22 = 4*n + 15091*d, 0 = 4*n + d + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4176\/(-2349)*(38571\/(-104))\/43?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*r + c, -7*r + 13 = -2*r + c. Let o be 8\/5 - 2\/(-5). Let w(v) = 1 + o*v + 0*v - 4*v - v**2. Calculate w(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0219? (a) -4\/3 (b) -10 (c) -3 (d) 2 (e) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -z - 2892, -5*z - g + 5*g - 14436 = 0. Let o be -3 - 1\/((-62)\/z). Let m = -57\/62 + o. What is the common denominator of m and 17\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 26*k**2 - 50*k - 47. Calculate t(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 1 = -3*n - 3, n = 4*o + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7966920427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c**2 - 396*c - 2198. What is j(-38)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16352, 32705, 49058, 65411?\nAnswer: 81764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 10*q**2 + q**2 - 11*q**2 + 2*q**2 to the form o + k*q**2 + v*q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -291408 divided by 6?\nAnswer: -48568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -874, -5914, -19414, -45604, -88714?\n\"Answer: -705*x**3 - 105*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049476 is divided by 15209?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s + w, 8*w + 4 = 4*w. Suppose -1 = b - 6. Suppose v = s*n + b - 1, -v + 4*n = 1. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*p**4 + 4*p**3 - 64.\nAnswer: -36*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/120*(-24)\/(-168). Let n(h) be the third derivative of 0*h**4 + 0*h - k*h**5 + 0*h**3 - h**2 + 0. Let l(r) = 2*r. What is n(l(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -28258\nAnswer: 28256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 624\/59 or 10?\nAnswer: 624\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2)*6)\/sqrt(8).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22002 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 865.2052 weeks?\nAnswer: 145354.4736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -59*y - 15. Let i(z) = -118*z - 26. What is 5*d(m) - 3*i(m)?\nAnswer: 59*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*b = -2, -5*p + p = 4*b - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.61 (b) -2.5 (c) 0.1 (d) -5 (e) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.900215 rounded to 1 dp?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 21.7. Let f = 2.49 + i. What is f rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/7 - 140080*n**2\/7 - 140076*n\/7.\nAnswer: -4*n*(n + 1)*(n + 35019)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*y + 240 = -979*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**5 + 12*b**3 - 6*b**2 + 9*b - 21. Let i(l) = l**5 + 2*l**3 - l**2 + l. Let q(x) = 6*i(x) - r(x). Find the second derivative of q(h) wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 3*g - 3*z, 2*z - 2 = -4. Suppose 0 = 5*o + 20 + 5. Let v = o - g. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 - 162608*p**4 - 46*p**3 - 27132293*p**2.\nAnswer: 60*p**2 - 3902592*p - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14386 - 28775 + 0*x**2 - 2*x**2 + 14389. Let d(h) be the second derivative of 0 - 1\/3*h**3 + 0*h**2 - h. Determine q(d(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + -15.1. Which is smaller: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -4 (c) 0 (d) 0.2 (e) -3\/281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12*n**(2\/19)\/n)\/(n**(-2\/13))**(2\/7) assuming n is positive.\nAnswer: n**(19277\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*s**4*z**2 + 2*s**4 - s**3*z**2 + 4*s**2*z**2 - 17*s*z**2 wrt s?\nAnswer: 1992*s*z**2 + 48*s - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74214?\nAnswer: 2, 3, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 8754, -8\/5, 0.4, 4\/5, -0.4, 0?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393427 is divided by 98308?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 + 15776*a**3\/3.\nAnswer: 2*a**3*(a + 7888)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75700161*d - 75699994*d + 15698 = 0 for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s. Suppose b - 4*y + 2 = 4, 4*y - 2 = -b. Let m(n) be the second derivative of 1\/3*n**3 + 0 + 0*n**b - 5*n. Give m(i(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 389, 387, 385, 383, 381, 379?\n\"Answer: -2*u + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-729)*(-10)\/25. Sort 3, t, -0.2.\nAnswer: -0.2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 6*p - 19. What is the least common multiple of l(8) and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v = -25. Solve x + 4*m = 2*x - 16, -v*x - 16 = 4*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3, -25899, 1\/2, 4\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/((d\/((d**(-5)\/d)\/d)*d)\/d)*(d*d**(-1)\/d)\/d*d**(4\/9))**(1\/14))**(25\/2) assuming d is positive.\nAnswer: d**(-1075\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(36)\/sqrt(4) + -2*sqrt(81))\/(4*sqrt(147)*4) + 2.\nAnswer: -sqrt(3)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 863 + 478. Is f a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2101, 93, -4 in decreasing order.\nAnswer: 2101, 93, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/886 and 47\/27.\nAnswer: 23922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + 3.8. Let l(n) = n - 11. Let x be l(7). Let z = -3 - x. Which is the closest to z? (a) 2\/13 (b) d (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.5915 (b) 2\/13 (c) 0.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - i - 12 = 2*i, -5*i - 24 = -3*o. Suppose -q = -z + o, 3 = z + q + q. Suppose 3*k = -s + 11, 5*s + z*k = 5*k + 72. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-168)\/12)\/42)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30085 and 37169.\nAnswer: 101657215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 2 - 18 = 0. Suppose -200 = b*r - 746. What is the highest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 53\/1328043?\nAnswer: 53\/1328043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8853337 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: Suppose 3*p - 5*g + 3*g = -8, 3*p + g = -23. Let k be 2 - p\/(2*-1). Let q be (-446)\/(-50) - (8\/(-4) - -11). Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/20)\/o)\/((o\/(o*o\/(o*o**12\/o)*o))\/o))\/(((o*o*o\/o**(-1\/9))\/o)\/(o*o**(-7\/5)*o)) assuming o is positive.\nAnswer: o**(-2081\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1231.41081?\nAnswer: -1231.61081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -2c26c6?\nAnswer: 2c26c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 138*l**2 + 72*l**2 - 213*l**2 + 28*l**2 - 96*l**2 as t*l**2 + q*l + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a**3*l*v*w + 2*a**3*w - 61937*a**3 + a*l*v - 2*l*v - 263*v*w**2 wrt w.\nAnswer: 5*a**3*l*v + 2*a**3 - 526*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 295054351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) -1\/7 (b) 0.22 (c) -4\/5 (d) 0.3 (e) 12\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 5. Let j(l) = -9*l + 14. Let u(x) = -4*j(x) + 11*m(x). List the prime factors of u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109)\/(-4469) + 192\/(-2829).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 17*k + 19. Let l be u(-16). Solve 4*a = 0, 0 = v + v - l*a + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -6*x + 336. Let g = 212\/5 - x. What is the third smallest value in 0.2, -2\/15, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-150)*-230*(55\/(-2))\/11?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 460\/(-184)*12\/15*3\/(-5)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 19, -6\/11, -3913, -6\/13?\nAnswer: -3913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 12. Let t be b(2). Solve 4*q = 6*q + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/30 - 3045\/(-18) is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 459 - 350. Suppose 0 = 4*q - 28 - 0. Let g = q + h. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.236 - -0.2753. Let d = 0.03930085 - r. What is d rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 - l**2 - 3. What is j(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 287200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21982*a**3*w*x - 581*a**3*w + 7*a**2*w - x**2 with respect to x.\nAnswer: -21982*a**3*w - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -1358*u**3\/3 + 814*u**2 - 960*u. Differentiate g(s) with respect to s.\nAnswer: -2716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 13 - 19 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 37 = -8. Suppose -5*s + 75 = -c. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 12 - (0 + -2)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21184*a**3*i**3 - 2*a**2*i**3 - 2*a**2*i**2 + 353*a*i - 5*i**3 wrt a?\nAnswer: 127104*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21557.0457s?\nAnswer: 0.24950284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 1240 + 1247 + 7*z. Determine p(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6882*x**2 + 8*x - 28. Let p be h(-7). Find the second derivative of 123*l - 337134 - 247*l**5 + p wrt l.\nAnswer: -4940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202 - 12100101211000?\nAnswer: -12100101221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152, -139, -100, -23, 104?\n\"Answer: 2*g**3 + g**2 - 4*g - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2061 + -19.1661. What is n rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26680 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-127 + -2)*-1 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180.79 + -0.21. Let s = -181.05 - z. Which is the biggest value? (a) -1 (b) s (c) 10 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 k when four letters picked without replacement from kffkffkfkkfff?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 31*k**3 - 4*k + 3. Let b = 46 - 45. Let t be a(b). Suppose -2*c + 436 - t = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20223 - 1012?\nAnswer: -21235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Let m be (-4)\/(-10) + 13\/5. Factor 0*q + 2*q**4 + 0*q + m*q**3 + 2*q**u - 7*q**3.\nAnswer: 2*q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7*-6*(-7)\/(-84). Is 0.06 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2)\/((-2)\/70). Let g = 50 - o. Calculate the highest common divisor of 10 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 5. Let g be (4 - -1)*(-6)\/15. Let t(r) = 2*r + 2. Let a(h) = g*m(h) + 5*t(h). Let j(y) = -26*y. Calculate a(j(o)).\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00144 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -58\/3 (b) 0.5 (c) -5 (d) -3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 26261377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 25*a + 833. Determine f(-19).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 374581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2240, 2235, 2230, 2225, 2220, 2215?\n\"Answer: -5*t + 2245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10992 + 30127. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, x: 8, u: 4}. What is prob of picking 1 x and 3 u?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -15*h + 22. Let j(i) = -7*i + 11. Let f = -21 + 28. Let w(r) = f*j(r) - 4*o(r). What is the derivative of w(c) wrt c?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*c - 4*n, -n - 59 - 11 = -3*c. Calculate the smallest common multiple of 8 and 50\/9*12*30\/c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*o + 46*o**2 - 72*o - 160*o**2 wrt o?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-8)*j)\/j)\/j)**(-2\/11) assuming j is positive.\nAnswer: j**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 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: Is 33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935574*g**2 + 967786*g**2 + 967786*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6106, 6013, 5920?\nAnswer: 5827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y + 28. Let h(t) = -t. Let j(l) = -4*h(l) + x(l). Let k be j(0). Let o be (-66)\/(-8) - k\/7. Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 5*y**2 + 6*y - 11. Determine v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 70505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7638.\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 93. Let p be 1\/(-3) + (-4)\/(-12). Solve -4*l - 30 = -l + 5*g, -3*l + 4*g - u = p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*k - 3*k + 4*k)*(-3 + 4 + 1) - k + 2 - 2)*(443 - 108 + 975)*(1 + 1 - 1) to the form z*k + m and give z.\nAnswer: -9170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/10 or -0.05?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1195, 2379, 3563, 4747?\n\"Answer: 1184*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-11)\/((-33)\/6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22576, 45141, 67706, 90271, 112836, 135401?\nAnswer: 157966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6504544, -13009088, -19513632, -26018176, -32522720, -39027264?\nAnswer: -45531808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 7}. What is prob of sequence jfjj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3077 and 855949.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -71. What is the nearest to g in -1\/2, 8, 1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 644*m - 8868. What is q(12)?\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 155, -5, -9\/2, -2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 730 - -70. Does 55 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -234296 - 0.146.\nAnswer: -234296.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241209*y**4 - 402912?\nAnswer: 964836*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137683708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -51. Suppose -u = 3*m + 11, m = 4*m + o. Suppose u*j + 8 = 0, -2*j = 5*d - 0*d - 61. Calculate the highest common divisor of 65 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -341157\/22 - -15503. Calculate the common denominator of 55\/224 and n.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 0, -55, -65, -7 in decreasing order.\nAnswer: 5, 0, -4, -7, -55, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**2\/2 + 19. Let h(u) = 4*u**2 - 4*u**2 + 6*u**2. What is h(z(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**2 - c. Let g be x(1). Let p = -6 - g. Suppose w - 81 = -4*d, 5*d - w + 24 = p*d. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/2 + 9302691*q**2\/2 - 18605391*q\/2 + 9302697\/2 = 0.\nAnswer: -3100899, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(62\/(-279)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 14*b**2 - 8*b - 8. Let z(o) = 3*o + 0 - 5*o**2 + 0 + 3. Let m(s) = -3*v(s) - 8*z(s). Let f(w) = -2782 + w + 2782. What is f(m(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -2*t. Let x = 7 + t. Solve -7*i = -3*i + x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f - 36 = -51*f. Find the third derivative of 1863*s**5 - 45*s**2 - 1863*s**5 + 14*s**f wrt s.\nAnswer: 1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(3 + (0 - 4)). Suppose 28 = g + t. Suppose 4*s - 308 = -2*c, 0*c - 301 = -2*c + 3*s. Calculate the greatest common divisor of c and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 5*b**2 - b - 2. Let t = 1 - -1. Let d(x) = -x**3 + 4 + 6*x**t - 1 + x + 0*x**2. Let p(n) = -3*d(n) - 4*g(n). Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 70*x**2 + 55*x - 130.\nAnswer: 5*(x - 1)*(x + 2)*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.361 and -10.33?\nAnswer: 10.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1134719728 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llxxl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10294*b**3 - b**2 + 2*b + 1. Let t be o(1). Suppose -t = -3*r - 6*r. What is r rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -117*u - 2 + 0*u**2 - 13\/3*u**3 + 0*u**4 + u**5. Differentiate g(z) with respect to z.\nAnswer: 20*z**3 - 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:08 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -8, -72, -206, -434, -780, -1268?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 25*s**2 + 32*s - 4. Let t(w) be the first derivative of -w + 96. Let p(r) = -6*t(r) + y(r). What is the second derivative of p(l) wrt l?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxxxxxxexxxxxe.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 18, 27, 42, 63, 90, 123?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/27)\/(6\/261). What is p rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(1\/22)))\/(((p\/p**(-7))\/p*p)\/p))\/(((p*p\/((p\/(p*p\/p**12))\/p))\/p)\/p**(-2\/15)) assuming p is positive.\nAnswer: p**(601\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 123 - 443 = 0. Let v = l - 37. Is ((-45)\/v)\/((-1)\/3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 215*u**3 - 62510*u**2 - 3*u - 28293077.\nAnswer: 1290*u - 125020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11022 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8313\/940 - -700\/47. Let d be -1*(-2)\/6 - 1037\/(-183). Find the common denominator of 97\/(-4)*2*d\/(-48) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 - 2*b - 9. Let n be o(-6). Let l be (-4488)\/(-20) - n\/(-5). Suppose 221*f + 448 = l*f. 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 remainder when 195744 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/4 + 5*n**3\/4 + 5*n**2 - 15*n - 36 = 0.\nAnswer: -3, -2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.25005 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -30*p**2 - 21*p. Let j(a) = -3*a**2 - 2*a. Let l(m) = m. Let u(r) = -7*r - 10. Let f(c) = 5*l(c) + u(c). Let o be f(-6). Give o*q(k) - 21*j(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2648 - -4727. What are the prime factors of v?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/972 and -155\/125388?\nAnswer: 125388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 20. Suppose -7*y - 2*y = y. Give w(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 30. Suppose -4*q = -l - 22 - x, -4*q + 39 = 5*l. Suppose 0 = -8*c + q*c - 168. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168*j + 939*j + 987*j - 293*j + 225*j.\nAnswer: 3026*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 10:45 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(22\/(-44))\/(1\/(-2))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -12, 0.4, 368, -0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 42 - 19. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352950 is divided by 4332?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2380545*a + 2516529?\nAnswer: -2380545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5970256 divided by -746282?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -137, -133, -135, -149, -181?\n\"Answer: -y**3 + 3*y**2 + 2*y - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(102)\/sqrt(2))\/sqrt(3))**2 + (-1 + sqrt(17))*1 + 5.\nAnswer: sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387973 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*o**3 + 47*o**3 + 54*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 - 100111?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7287 is divided by 2512.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**3 - 19*p + 2. Let a(m) = -22*m**3 + 58*m - 7. Let c(t) = -2*a(t) - 7*j(t). Find the second derivative of c(w) wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2 - 68*t + 25. Let l be o(11). Let p(u) be the first derivative of -2 - 4*u**2 - 1\/3*u**l - 16*u. Let p(x) = 0. What is x?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-185140)\/(-6))\/((-16)\/(-24)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8660912 + -0.866. What is r rounded to 6 decimal places?\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147308 * 8\nAnswer: -1178464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1720596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 5*v + 24, 0 = 11*y - 16*y - 4*v + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001010001011010 (base 2) in base 6?\nAnswer: 3342350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29236\/3 - -9684. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11672, 5, 74, -58 in decreasing order.\nAnswer: 11672, 74, 5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -24*y + 26*y + o - 55, -3*y - o + 40 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1042.5 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 + 4. What is the biggest value in -0.2, 0, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16979169, -16979173, -16979177, -16979181?\n\"Answer: -4*m - 16979165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-1 - (-168)\/172). Let z be 430\/b*(-12)\/15. What is l in -12\/5 + 2\/5*l**z + 2\/5*l = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078 divided by 2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 22*b**2 - 64*b + 15. Let q be z(-24). Solve -394*k + 30 = -q*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 26 = 0. Let f = -1 + g. Solve 6*j - j = f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*k**4 + 74 + 2*k - 73 + 3*k**4)*(35 - 26 + 30)*(-4 - 8 + 3) in the form d*k**3 + r*k + y + b*k**4 + z*k**2 and give y.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 645*r + 8. Let f be l(-5). Let p = -1233 - f. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m + 2. Let i be g(0). Let p(z) be the third derivative of 1\/480*z**6 + 3*z**i + 0 + 0*z**5 + 0*z**3 + 0*z - 1\/96*z**4. Factor p(n).\nAnswer: n*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*f = -9*y + 1601, -y - f + 316 = 0. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q + 74. Let r(u) = -28*u - 221. Let a(p) = 6*r(p) + 17*s(p). Calculate the remainder when 74 is divided by a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(30)*-1*-5 - sqrt(30)) + sqrt(30))\/(sqrt(160)\/sqrt(4)) + (-1*sqrt(3600))\/sqrt(12)*1 + 2).\nAnswer: -45*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -1, 2, 5, 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, 4, 1\/23, 0.04, 277?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1067063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.3 + 15. Let l = i - 0.6. Let o = l + -1.10001. Round o to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1014831, 1014835, 1014839, 1014843, 1014847?\n\"Answer: 4*w + 1014827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29.37076 decades?\nAnswer: 2.937076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s + 15 = 0. What is the third derivative of s*w**2 - 2 + 2 + w**3 + 0 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/24 + o**3\/6 + 449*o**2. Let p(v) = -v + 8. Determine p(n) - r(n).\nAnswer: -2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*l + 19*l**2 + 17*l**2 - 55*l**2 + 21*l**2.\nAnswer: 2*l**2 + 257*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 713 (c) 1088 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*i + 371*i = 0. Let d = 3.1 - 3. Let g = d + -0.3. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from tktkktnkknkt?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190.05 + -194. Let d = -1.95 - r. Let u = 0.05 - 0.35. What is the nearest to 5 in -3\/4, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*b + 76*b**2 - 86*b**2 - 166*b + 773*b**2 + 1.\nAnswer: 763*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, r: 1, o: 6, a: 1, j: 3}. Give prob of sequence jr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2. Let m(h) = 3*h**3 - 4*h**2 - 20. Let k be -1*((-40)\/8 - -1). Give k*z(j) - m(j).\nAnswer: j**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:54 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2415.837 + 2416. Is f bigger than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.2, 134, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308068.\nAnswer: 2, 77017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*z = 2*g + 49*z + 1048, z + 58 = 4*g + 38 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7519779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -9*f + 208. Let y = 160\/3 - f. Factor 0 - 2\/3*t**2 - y*t.\nAnswer: -2*t*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41304 - 41304 + 13*w - 13*w**2)*(6*w + 5*w - 5*w - 1).\nAnswer: -78*w**3 + 91*w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - f + 2. Let q be r(-2). What is the second derivative of 6*v - q*v + 42*v**2 - 30*v - v wrt v?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2029416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20973351 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/5 and -43\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 517489?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(304) + 0)*-1 + 0 - (-4 + -2*(sqrt(1539) - (sqrt(1539) + -2 + sqrt(1539) - sqrt(1539))*4)))**2.\nAnswer: -2088*sqrt(19) + 64240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 4*s - 6. Let j be v(-5). Calculate the remainder when 0\/j - (-7 - 6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379396835 to the power of 1\/2, to the nearest integer?\nAnswer: 37140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 66?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -802 + 44112\/55. Let f = 23 - 68\/3. What is the nearest to x in 0.3, f, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -9.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3992 + 9335 = 3*c, -5*i - 2*c + 66648 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**7\/30 + w**5\/30 + 65*w**3\/6 - 3*w**2 - 11. Differentiate j(d) wrt d.\nAnswer: -28*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3888 by -6.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6337 = -5*y, 2*y + y - 12739 = -4*b. Let v = -1032 + b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1565650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 445 + 7440 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 + 43*u**2\/3.\nAnswer: -u**2*(u - 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*231\/(-3168))\/(1\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21256730*n**3 + 86*n**2 + 34699?\nAnswer: -127540380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from yyuuawq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x + x)*(0 + 0 + 7 - 8 + 1 - 13378*x) as j*x + n + o*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2*b**5\/65 - 21*b**4\/26 + 98*b**3\/13 - 343*b**2\/13 - 28. Factor i(g).\nAnswer: 2*g*(g - 7)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 + 5*b - 5. Let m(s) = 4*s**3 + 6*s - 5. Give 6*i(n) - 5*m(n).\nAnswer: -2*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*l + 5, 4*l - 16 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*h**6 + 3*h**5 - 10*h**3 + 5*h**2 - 17066*h wrt h?\nAnswer: -14640*h**3 + 180*h**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*q - 94*q + 6 = 0. Suppose 2*v - q = 73. What is the greatest common factor of v and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 570*f**3 + 2*f**2 + 22*f - 286*f**3 - 286*f**3 - 2 to u + c*f**4 + p*f**2 + r*f + k*f**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 6*r**2 - 2*r**2 + 130*r**3.\nAnswer: 130*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a + 38881660 + 337018340. What is a rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*v + 16. Suppose v*c - 21 + 69 = 4*k, -2 = -k - c. Suppose 0 = k*x - 65 + 2. Calculate the remainder when 17 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 23524*x - 8426390\/3.\nAnswer: 2*(x - 35405)*(x + 119)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161815 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(4375\/(-420)))\/(13\/(3900\/9)*1)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 + 183680*z**4 - 183704*z**3 - 918432*z**2 - 551052*z = 0. Calculate z.\nAnswer: -45921, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.9765 - -21. What is h rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from thttzrthttxshrhttxzh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*w + 99*w**2 + 144*w.\nAnswer: 99*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbbbzbz. What is prob of sequence bb?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.5 (c) -7 (d) 4\/9 (e) 5 (f) -1.026 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 26960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 18. Let y be c(-9). Suppose y = -5*p + 10*p - 365. Is 41 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3220)\/(-840)*(-6)\/1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-12)*(-32)\/312?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 23. Solve s = -3*s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368 + 89 + 89 + 95 + 93 + 37788*h.\nAnswer: 37788*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8270*v**2 - 24808*v - 6.\nAnswer: 2*(v - 3)*(4135*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 574\/3 - 191. Put -0.06, 27, 1\/7, a in decreasing order.\nAnswer: 27, a, 1\/7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-261)\/2*28\/(-42). Let i = s - 82. Suppose -3*y = -12, -3*y + 1820 = -i*c + 2*y. Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -j + 5*g - 37, 799 = 3*j + 4*g. Solve -j + 264 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 1858650665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 73244 = 5*c + 2*f, 0 = 3*f - 6. What is c rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-44 - (-3 - (-8 + 2)))) + (-3807 - -3810).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwrl when four letters picked without replacement from {a: 4, z: 7, w: 2, r: 1, l: 3, e: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = 0. Let a = z + 3. Suppose 4*d - 3999988 = -0*g - 4*g, 2*d - a*g = 2000009. Round d to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 + 1232*g**3 - 564732*g**2 + 1683000*g = 0 for g.\nAnswer: -561, 0, 3, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/13, -5, -1456, -0.05.\nAnswer: -1456, -5, -12\/13, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5*-10)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + 138. What is the hundreds digit of (-38)\/f - 2812\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 0.0469?\nAnswer: 0.5469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/18297 and 19\/7490.\nAnswer: 1280790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 0, 11 in decreasing order.\nAnswer: 11, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8140141799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m - 4 = 0. Let q be (0 - 849\/505)*50\/1640. Let z = -1\/404 - q. Is z greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0205625 rounded to one dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-12) + (-8)\/12 + 50. Calculate the greatest common divisor of j and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 54 - 46. What is the third derivative of -46*z**2 + 44*z**t + 59 + 2 + 82*z**6 wrt z?\nAnswer: 9840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993060.07 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46499998 = 5*z - 2*n - 0*n, 0 = -3*z - 5*n - 27900005. Round z to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -f + 44, 244182*j - 244180*j + 2*f = -72 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -115. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068523 rounded to three dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/12 - 19*d\/12 - 17\/6 = 0.\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 17*z - 17. Give f(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2*3\/(-12)). Let i be (k\/(-4))\/((-2)\/8). Suppose 0 = 4*n - n + 4*s - 79, -i*n - 3*s = -54. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (3 + 0 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 71820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -81. What is the closest to w in -1\/2, -9, 1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -1\/24*z**4 + 1 + 41\/6*z**3 + 1\/20*z**5 + 1\/105*z**7 + 0*z**6 + 0*z - 24*z**2. What is the second derivative of d(l) wrt l?\nAnswer: 24*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r + 44. Calculate c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2, 4\/7, 5\/12.\nAnswer: -2, -0.6, 5\/12, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8043, -7940, -7671, -7158, -6323, -5088?\n\"Answer: 13*j**3 + 5*j**2 - 3*j - 8058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 483 and 414?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 870826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 853\/68 + -5\/17. Find the common denominator of 119\/10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 1\/360*w**6 + 0*w + 1\/18*w**4 - 1\/45*w**5 + 0*w**3 + 0 + 3*w**2. Solve v(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*r - 22*r - 2*r**2)*(-4 - r + 4 + (-1 - 1 + 3)*(3*r - 8*r + r) + 6 + r - 6) as h*r**2 + o*r**3 + g*r + w and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 + 7*b + 2. Suppose -4*h + 107 = 115. Let q(v) = 4*v**2 + 6*v + 2. Let z(f) = h*a(f) + 3*q(f). Find x, given that z(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.919382 grams?\nAnswer: 0.002919382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 2211*v**2 + 673440*v - 43803612.\nAnswer: -3*(v - 122)**2*(v + 981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 11*m + 27. Calculate the least common multiple of k(-7) and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2398 and 2196 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3)*39\/(-2). Suppose 0*k + 4*k - 5*c - 40 = 0, -4*c - x = -2*k. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.232.\nAnswer: -0.0928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 4531?\nAnswer: -4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**4 + 5845*k**3 - 2179710*k**2 + 271200860*k - 2499832600 = 0.\nAnswer: 10, 298, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1272 divide 1623072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124951 is divided by 142?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1789354846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11552 equal to 11499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1680850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -s - 5*h, 2*h = 10*s - 7*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-8))**(-7)*f\/(f\/((f\/(f**(-2\/25)*f*f))\/f)*f)*f**(-3\/20) assuming f is positive.\nAnswer: f**(-6607\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/5632 and -65\/228.\nAnswer: 321024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*g + 7 = 4*s, 0 = -3*g - 3. Does 17 divide 3 - s*(-164)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0) + (-1)\/1 - -4. Suppose 5*b + 184 = x*h - 87, 4*b = -4*h + 316. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35546 - 6180?\nAnswer: -41726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (-480)\/(-75) + -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 17, 64, 151, 290, 493, 772?\n\"Answer: 2*m**3 + 2*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = t - 0*t + 3*y, -y - 7 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 426. Let n = q - 306. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -38*b**5\/35 + 60*b**4\/7 - 138*b**3\/7 + 54*b**2\/7 + 939. Determine i so that j(i) = 0.\nAnswer: 0, 6\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66816 and 1024?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 10. Let d be l(-2). Suppose 126 = 2*c - q, 2*q = c + d*c - 314. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5994 + -1244. Suppose -d + 1915 = d - u, 5*u - l = -5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:48 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/7 - 74*f\/7 - 528\/7.\nAnswer: -(f + 8)*(f + 66)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18670409593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.9. Let v = 0.5 + -0.4. Is x >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)*t**(1\/5))\/((t*t\/(t\/t**4))\/(t*t\/t**(-3))) assuming t is positive.\nAnswer: t**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(48) + (-1*sqrt(48) - sqrt(48))*6 - sqrt(48) - (sqrt(4800) + -3)) + 0)*-5)**2*2.\nAnswer: -158400*sqrt(3) + 6972300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 615825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -575.3517053 rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 q when four letters picked without replacement from wsswwqssws.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1883\/11 + -171. Let d = 145 + -145.2. What is the nearest to -0.2 in y, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 10*n**4 + 195295*n**3 + 488095*n**2 - 1562115*n + 878715 = 0.\nAnswer: -19527, -9\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4555 = -23*t + 1632. List the prime factors of t.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6699 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41530?\nAnswer: 2, 5, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.917602mg to kilograms.\nAnswer: 0.000002917602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -260589220 take away 0.2?\nAnswer: -260589220.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 5*q + 4. Let b be a(-4). Suppose -3*i + 7*i - 60 = b. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 28035?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.01338.\nAnswer: -0.00669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 734*k*w**3 + 2618*k*w**2 + 16*w**3 wrt w.\nAnswer: 4404*k + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c, -5*s + 3*c = 2*c - 3. Let t(g) be the second derivative of s*g**3 + 0*g**2 - 3*g + 0 - 1\/6*g**4. Let a(p) = -p**2. Determine a(t(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 2*x**2 + 13*x**2 - 7*x**2 - 2*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**8\/1680 - u**7\/105 - u**6\/15 + u**5\/30 + 13*u**4\/40 - 131*u**2 + 1. Solve t(r) = 0 for r.\nAnswer: -3, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by 1679\nAnswer: -232\/1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 - 3*z**3 + 3*z**2 - z**3 + 0*z**3 + 0*z**3 + (2*z**3 + 0*z**3 + 0*z**3)*(-2 + 2 + 1) - 2 + 3*z**3 + 2 + (-2*z + 2*z + 2*z)*(-4 + z**2 + 4).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -3.9719.\nAnswer: 3.9719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8641458g?\nAnswer: 864.1458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-166915\nAnswer: -166914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7898115083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 16 = -2610*v + 2609*v, -3*v = 5*h - 4 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3299400 divided by -63450.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -5545103.\nAnswer: -121992266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*o**3 - 947*o**2 + 11274*o + 2552 = 0. Calculate o.\nAnswer: -116, -2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136084 or -136135?\nAnswer: -136135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 + 6*j + 13. Let y be s(-9). Suppose 2*f - 32 = 4*w, -3*f + y = f - 2*w. Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -174 - -184 - (22 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/49290 and -29\/14?\nAnswer: 345030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 32. Let o be (-58)\/6 + 9\/(54\/4). Let k be g(o). Let d be (4\/(-1) - k)*5. Solve -4*v - 2 = 2*p, 3*v - d*p = -0 + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*l - 12 + 1 = 0, l + 11 = 5*t. Suppose 4*h + 3 = -13, -t*x - 4*h - 90 = 0. Let o = x + 79. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -50. Let o = r + 48. What is the greatest common factor of 100 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*y - 11, -n = n + y - 37. Suppose -4*t - n = 4. Let l(z) = 3*z + 35. Does 17 divide l(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 39*l + 118. Let f be c(37). Suppose -f*q = -47*q + 6. Solve -3\/7*u + 1\/7*u**q + 0 - 2\/7*u**5 + 5\/7*u**3 - 1\/7*u**4 = 0 for u.\nAnswer: -3\/2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 82*v**2 + 80*v + 2604. Is c(-84) a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 144.26.\nAnswer: 143.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(40\/(-15)) + 0. Let x(a) = 4*a**t - 8*a - 3 - 61*a**3 + 4*a - 4*a**2. Is x(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 19 = 2*o, -2*h + 10*o = 9*o + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 11*t**2 - 10*t - 17. Let d(n) = -4*n**3 + 44*n**2 + 39*n + 69. Let k(r) = -9*c(r) - 2*d(r). Is k(12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s + 2. Let j be g(-5). Suppose 4*i - 114 = -5*y, -i - 121 = -5*y - 37. Solve j*r + y = -7*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-122)\/8)\/((-30)\/24 + 1). Suppose -b = -5*q - 5*o - 26, o = 4. Suppose h = -5*v - 0*h - 4, -20 = 3*v + 5*h. Solve v = q*c - 9 - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3458 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 697, 2500, 5519, 9754, 15205, 21872?\n\"Answer: 608*n**2 - 21*n + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.05 (b) -3\/5 (c) 5 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225990 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/((-2)\/(-14)). Factor 5*y**3 - 2*y**5 - 4*y**3 + y**3 - 2*y**4 + 2*y**o.\nAnswer: -2*y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302210?\nAnswer: 2, 5, 230221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -96, -104, -122, -156, -212, -296?\n\"Answer: -w**3 + w**2 - 4*w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8970*k + 53802. Give z(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in -2, 2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 290 and 401?\nAnswer: 116290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119\/45 or 4?\nAnswer: 119\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/9 - 4625342*j**2\/9 - 297134668192*j + 1485686189160 = 0.\nAnswer: -1156338, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269 a factor of 30964908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621 = -6*u + 963. Suppose 0 = -u*h + 253*h + 297. Let x = 9 + -6. What is the smallest common multiple of x and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*x + 18 = 0, -5*w + 3*x - 18 = 23. Let l = 27 + w. Solve 4*u + 4 = 2*f, 5*f + 4*u - 2 + l = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753.9582 meters to millimeters.\nAnswer: 753958.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4104)\/(-32) - 1\/4. Suppose -3*n + 108 = 3*u, -3*n - 3*u + q = -4*u. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 12*b**2 + 38*b + 24. Let h(i) = -10*i - 119. Let k be h(-10). Is j(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(736 + 191 - 393)*(b**2 - b**2 - 2*b**2) in the form p + d*b**2 + z*b and give d.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 579575561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -205*z - 37. Let w(m) = 69*m + 13. What is 3*g(n) + 8*w(n)?\nAnswer: -63*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82948 is divided by 419?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 698587219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 22*t**2 + 104*t + 18. Give c(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432 plus -31?\nAnswer: 6401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4 - 24*n**3 + 94*n**2 - 144*n + 72 = 0.\nAnswer: 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 163 = -5*z + z, 3*z + 6 = 0. Let h = -287\/5 - f. Let q be (12\/9)\/(78\/9). Which is the third biggest value? (a) h (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131472551+141\nAnswer: -131472410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/8)\/(15\/(-20))*152\/(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -40 - 0. What is the remainder when 218 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11 + 10*x**3 + 12*x**3 - 7*x**2 - 21*x**3 - 7*x**2 - x wrt x.\nAnswer: 6*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -71*i - 339. Let m(g) = -23*g - 112. Determine -6*k(x) + 19*m(x).\nAnswer: -11*x - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 1, 0.2, 0.6, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 49991 + 49575 = -4*b, 0 = -4*k - b - 2*b + 92 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137415276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -748\/667 + 30\/29. Sort 3, u, -1\/3 in increasing order.\nAnswer: -1\/3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4795201, -4795214, -4795235, -4795264, -4795301, -4795346?\nAnswer: -4795399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90653 = -15*x + 1069597. Let f = -10 + 30. Suppose -2*a + x = -4*l + 287740, -4*a + f = 0. What is l rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007803086 rounded to 4 dps?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a meter in micrometers?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 52*h**2 + 316*h - 6. Give v(9).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 5*w - 21. Let j be z(-8). Let q be 0 + -44 + j + 3. What is q rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = 4. Let j(w) = w**2 + 3. Let l(u) be the second derivative of -u**5\/20 - u**4\/12 - u**3\/6 - u**2\/2 + u. Let c(p) = j(p) - l(p). What is c(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((14 - 24) + (-1 - -7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11194747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 + i. Suppose -2*x = x. Suppose 4*m = -p + 8*m + 26, x = -m - 2. Let y be 3*3\/p*-2. Give q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5) + 144\/(-15). Let b(o) = 2*o**2 - o - 2. Let r be b(-3). Let t = r + s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 - g + 1. Let k be y(2). Factor -6*r - 5*r**k + 3*r**2 + 0*r + 20*r**3 - 12*r**2.\nAnswer: 3*r*(r - 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-975)\/1001)*(-2)\/(-7)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -71\/23. What is the biggest value in 2\/3, -4, 3\/2, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1175*f - 2768. Give r(2).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -9. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 11*x + 14. Let b be d(12). Let w be 3*(b - 112\/60). Let 2\/5 - 6\/5*g - w*g**2 + 6\/5*g**3 = 0. Calculate g.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = i + 5*g, 3*i + 5*g - 62 = 3. Solve 33 = i*j - 26*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317343.\nAnswer: 3, 13, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3560 = -2*i, 7*b + 5*i - 4785 = 3*b. What are the prime factors of b?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 7:39 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-46) - (-7328)\/368. Solve -o*r + 83 = -37 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244.2688 milligrams to grams.\nAnswer: 0.2442688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 5*t, 0 = -2*s - t + 4*t - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 230.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -25. Let l(m) be the third derivative of -2*m**2 + 0*m**3 + 0*m**d - 1\/60*m**5 + 0 + 0*m. Let n(w) = w. Give l(n(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/9 - 2350*y**3\/9 - 398543*y**2\/9 + 2350*y\/9 + 132848\/3 = 0. What is y?\nAnswer: -2166, -184, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 to the power of 1\/6, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 122*c**2 - 20*c + 5. Does 16 divide p(-61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37291 is divided by 8410?\nAnswer: 3651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/2432 and -9\/41344?\nAnswer: 41344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Suppose -26 = h*c + 39. Let r(t) = 6*t**3 - t**2 + 17*t + 13. Let g(m) = -3*m**3 + m**2 - 8*m - 6. Let w(n) = c*g(n) - 6*r(n). Factor w(x).\nAnswer: x*(x - 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1566 = -3*w, -w + 532 = -7*x + 4*x. Suppose -2 = n, -4*k + 7*k - w = 2*n. Let t = k - 25. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 400 = 44*z, -5*z - 37 = 29280*d - 29282*d for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*u + 16*u - 248 - 424 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-1 - 3) - 1. What is the units digit of 16559\/116 + z\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, 499 in descending order.\nAnswer: 499, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60456.89 decades to years.\nAnswer: 604568.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4*t + 51*j**3*t**2 + j**3 - 2*j**2*t**2 - 6*j**2*t - 5*t**2 wrt j.\nAnswer: -24*j*t + 306*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgggggnpgpvs. What is prob of sequence gg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16522775 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 1, a: 2, l: 2, h: 1, w: 1}. Give prob of picking 2 l and 1 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcqc. What is prob of sequence cqq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/4 + ((-190)\/2)\/(-5). Let u be 5\/((g\/(-65))\/3). Sort 5, u, -5 in increasing order.\nAnswer: u, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -269 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:37 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, -1.6, 46797, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*q*s*x**2 + 39*q*t**3*x**3 - 2*s*t**3*x**3 - 3*s*t**3 - 10*s*x**3 + 2*s wrt q?\nAnswer: 14*s*x**2 + 39*t**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -5*t**4\/24 - t**3\/2 - t**2. Suppose -5*l - 34 = 3*s - 4*s, -9 = -3*l. Calculate the remainder when s is divided by a(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210000210202 (base 3) in base 11?\nAnswer: 919607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*p - 6*n = 67*p + 114, p = -4*n - 31 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4\/2795 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 7. Let b be q(-4). Suppose 4*y = b*y + 126. Suppose 0 = 2*l - 0*l + n - 60, 4*l - n - y = 0. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -5, 7, 805, -15 in increasing order.\nAnswer: -15, -5, -2, 4, 7, 805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -15325231231?\nAnswer: 15325231240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16354, 16503, 16652, 16801?\n\"Answer: 149*y + 16205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1428 and 92.\nAnswer: 32844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 2, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1273*i + 1277*i + 8*i**3 - 2547*i)*(1 + 2 + 0) to a*i**2 + r*i**3 + s + u*i and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -467, -439, -283, 1, 413?\n\"Answer: 64*q**2 - 164*q - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 11*f**2 - 7*f + 4. Let y(l) = -3*l**3 - 17*l**2 - 11*l + 6. Let b(p) = 7*c(p) - 5*y(p). What is the units digit of b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 5*b**3 + 3*b**3 + b**2)*(-5 + 1 + 3).\nAnswer: -8*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10123402 (base 5) to base 15.\nAnswer: 198bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -106, -107, -128, -181, -278?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3138*g**6 + g**2 - 34917 wrt g?\nAnswer: 376560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*g**(-2\/5)*g)\/g)\/g**(2\/15)*(g\/(g*((g*g**(-6))\/g)\/g))\/(g\/g**(-1\/6))*(g\/g**(-3\/4))\/(g*g**7)*(g\/(g*g**(1\/4)))**44 assuming g is positive.\nAnswer: g**(-179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 94 - (-41 + 22).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -279.\nAnswer: 4\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:26 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66078.\nAnswer: 2, 3, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m**2 - 40*m**2 - 200*m**2 - 145*m**2.\nAnswer: -437*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d - 10. Let k(n) = -n - 2. Let y(j) = -6*c(j) + 28*k(j). Let l be (-2 - 22\/(-12)) + (-370)\/(-60). Let b(p) = p - 1. What is l*y(x) + 26*b(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l + 22 + 2*l**2 + l**4 + 0*l + 2*l + 3*l in the form t + v*l**2 + s*l**4 + a*l**3 + w*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 120. Suppose -9*f = -15*f + n. Solve -3*y = j - 11, f*y + 5*j = 2*j + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5971.776ml to litres.\nAnswer: 5.971776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*x + 29*x + 20. Solve 7*t + x = 9*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3147, 3149, 3151, 3153, 3155?\n\"Answer: 2*g + 3145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9750, 5, -11, -5, -3 in descending order.\nAnswer: 9750, 5, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.49 - -3.9. Let o = 2.41 - f. Do o and 5\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -21.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 1088889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 478846476 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(19\/2)\/(((h*h*h\/(h*h**(-3\/5)))\/h)\/h**(-8)))\/((h**0\/(h\/(h\/(h*(h*h**7*h)\/h))))\/(h\/(((h\/(h**(-2\/11)*h))\/h)\/h)*h**5)) assuming h is positive.\nAnswer: h**(397\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -20, 59*f - 117*f = -59*f - 5*c - 42 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(77)\/(2*sqrt(7)))**2 + -2 - (5*(0 + sqrt(11))*2 + 1).\nAnswer: -13*sqrt(11) + 35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.183 + -0.083. Let x = -3 + 1. Which is the closest to k? (a) -4\/9 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncnc when four letters picked without replacement from ccccvvnccvcvcvvcvvn?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.844ug in milligrams?\nAnswer: 0.890844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -q + 86. List the prime factors of (-2)\/(3\/3) + q.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 5 + -1 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.9. Which is the second smallest value? (a) -3 (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 j when three letters picked without replacement from jjjjtjtjstjtjtjjjsj?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*i - 2 + 244*i - 113*i + 2 - 53*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83.088 - 0.088. What is the nearest to 0.1 in 2\/9, -1\/4, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/24*164\/574?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19692.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71\/3 + 485\/21. What is the third smallest value in -1\/3, k, -1, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1226620 by -4.\nAnswer: 306655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 8*q. Suppose q = -21*x - 5*x. Solve -5*s + 24 - 4 = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400163 is divided by 161.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.9 - -9.9. What is the second biggest value in -0.5, -2, v, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -19. Solve -4*y = 2*d - 2, b*y - 8*y + 1 = d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-4))\/((-25)\/(600\/(-27))*2).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - -0.16. What is the second smallest value in -2\/23, p, 12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.113 + 0.024. Round h to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 4*z**2 - 3. Suppose 2*f + 20 = 12. Let w(c) = -3*c**3 + 7*c**2 - 5. Give f*w(r) + 7*k(r).\nAnswer: -2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(32) - sqrt(120)\/(sqrt(24)\/sqrt(3)))\/((((sqrt(5) - 6*sqrt(10)\/sqrt(2)) + sqrt(5) - sqrt(5)) + sqrt(5))*4)*-2.\nAnswer: -3*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9486a - -6?\nAnswer: 94874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011150287 to four dps.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62632 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16390 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:05 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 123*p**2 - 1119*p + 103. What is q(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 34. Let t(h) = -23*h**2. Give g(t(k)).\nAnswer: 529*k**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*((sqrt(700)*1)**2 + -3))*3*5.\nAnswer: 10440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - s + 1)*(1 - 1 - 2*s**3) - 3*s**4 + 3*s**4 + 3*s**4 + 2 - 4*s**4 - 2 to the form t*s + z*s**2 + p + x*s**4 + g*s**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -278.5 (b) 1\/78 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 35 - 234645*m**3 + 234646*m**3.\nAnswer: m**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 11*o - 352 = 0. Let b(q) = 3*q + 5. Suppose 3*m + 3*n = 60, -2*n - 23 = -0*m - m. Calculate the remainder when b(o) is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/25 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**3 - 22*m**2 + 10*m + 19. What is q(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 23. Let k(c) = -452708*c - 1. Determine k(z(l)).\nAnswer: 1358124*l**2 + 10412283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 794068 - 4?\nAnswer: 794064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3)*-3 + 5)**2.\nAnswer: -90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 71?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2. Let g = 45 + -43. Let f(p) = p + 2*p + 3*p - g*p. Determine r(f(y)).\nAnswer: 112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + h + 12*h**4 - 11*h**4 + 38 - 6*h**2 - 35 to p*h**3 + t*h**2 + j + c*h + f*h**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -658807*v**2 - 9070*v**3 + 4*v**4 + v**4 + 1409750*v**2 + 907585*v**2 + 2454717*v**2 = 0.\nAnswer: 0, 907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36192637.4 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 11. Suppose -2*a = -2*x - 3*a + 5, z = 2*x - 5*a. Solve x*g - 2 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -347\nAnswer: 3.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (2*sqrt(99) + sqrt(99))*-1)*6)\/(((sqrt(90) - (sqrt(90)*2 - sqrt(90))) + sqrt(90))\/sqrt(10)*3).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.53 + 43.63. Which is the nearest to 0? (a) 0.09 (b) 42 (c) r (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13986*j**2*m - 2*j**2 + j - 1713 wrt m?\nAnswer: 13986*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2316940 divided by 4\nAnswer: 579235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 23*d**2 - 1 + 7*d + 9*d - 14*d + 63*d**2. What is the tens digit of m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(-1*sqrt(1573) - (sqrt(26)*-1)\/sqrt(2) - 5*(-2 + sqrt(1053))**2) + 3.\nAnswer: -126837 + 4080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 282672?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-37 - 13*v**2 + 37) + (-3 + 1 + 5)*(75 + 11*v**2 - 75) - 2*v**2 - 1 + 1 + (-2*v + 4*v - 4*v)*(0*v - 2*v + 3*v).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 3. Suppose 0 = -5*h - 25, 2*f + 2*h = -2*f + 30. Let j = -13 + f. Determine x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**3 + 7 - 7 + (0 + 0 - 2*k)*(11*k + 0*k - 25*k)*(0*k - 3*k + 2*k) as p*k + a*k**2 + c*k**3 + z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -12. Is (58 + 1)*(2 - s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u + u - 80654. Suppose 3*q + u + 1202 = 0. Let a = -1614 - q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 18 + -7 + -3 - (38 + 30).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.171, 2\/7, 3, 0, 40.8, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2456874310770*z + 2456874310770*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17428755 divided by 3485751.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5746.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**3 + 4*t + 3. Determine n(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 6244.\nAnswer: -561.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*24\/(-9)*17\/34.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1)*t**(-2\/11)\/t*(t*t*t\/(t**(-2\/15)*t)*t)\/t*t*t\/((t\/(t\/(((t**(-5\/4)*t)\/t*t)\/t*t)))\/t*t) assuming t is positive.\nAnswer: t**(3433\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*u - 28 + 28 + (-4*u - u + 3*u)*(1 - 2 + 3) - 8*u - 39*u + 5*u as k*u + x and give k.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -75\/4538, -2\/9.\nAnswer: -1, -2\/9, -75\/4538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*r + 2, -a - 10 = -6*a + 5*r. Suppose 0 = 2*d + i - a - 7, 2*d - 2*i + 4 = 0. Solve 16 = o + d*k, 0*k = -o + k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1497584 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12397 = -2*b - 12415 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/2)*j)\/j*j)**(2\/93)*j**(-5)\/j**(6\/11))\/((j\/(((j\/(((j*(j\/(j*j\/j**8*j))\/j)\/j)\/j)*j)\/j*j)\/j))\/j**(-9))**(-1\/27) assuming j is positive.\nAnswer: j**(-46129\/9207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2707 - -2693.13. Round m to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 32 = 2*h, n = -4*h + 2*n + 20. Suppose 0 = -3*p - 5*z + 16, -h = 3*p + 4*z - 20. Let t be ((3 - 0) + -2 + -2)*0. Solve -p*s - 6 = -t*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47104 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817335.\nAnswer: 3, 5, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 11) to base 2\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-21))\/(-24*(-28)\/588))\/(15\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/10394000 and 65\/316.\nAnswer: 821126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:58 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 0 + sqrt(1331))*4 + 4 + 4)**2.\nAnswer: -29920*sqrt(11) + 537024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15*(-208)\/(-120) - -40080?\nAnswer: 2, 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58498 * -3.\nAnswer: -1.75494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*n = 992*n - 296*n + 16182 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-5*(64\/(-4))\/(-96)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317769 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21783.8642534 and 1.\nAnswer: 21784.8642534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + y + 2)*(-2*y + y - y) + y**2 - y**2 + y**2 - 4*y**2 - y**2 + 4*y**2 - y**2 + 1 - 1 + (-4 + 2*y**2 + 4)*(-6 - 10 - 17).\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -63, -92, -117, -138?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(252)) + -5 + sqrt(35)\/sqrt(5)*-3)**2 + (sqrt(252) + -2 - (sqrt(7) + 4 + sqrt(7) + 1 + sqrt(7))**2).\nAnswer: 56*sqrt(7) + 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -2*j, -5*d + 48 = -2*j. Suppose 0 = x + 4*o - 7, 29 = 3*x + 2*o + d. Let k(m) = x*m - m**2 - 3*m + 5 - 2*m. Determine k(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**3*u*x**2 + 3*d**3*u + 12*d**3 + d**2*u + 51*d*u + 2*u*x**2 wrt d.\nAnswer: -36*u*x**2 + 18*u + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-264)\/(-17072)*(-404)\/(-12) - (5\/(-2))\/(-5)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 692238140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 7. Let t be c(5). Let y(d) = 5 - 7*d**2 - 2 - 4*d + 2. Let j(n) = 4*n**2 + 2*n - 3. Let a(s) = t*y(s) + 5*j(s). Determine a(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103720 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -85.7.\nAnswer: -85.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u - 63*u - 21 = -2*v, 5*v + 4*u - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -774185 or -774216?\nAnswer: -774216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 1 - 2 - 3*k + 2. Suppose -2*z = -2*a, -5*z - 16 = -4*a - 15. Determine m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.9556 + 37. Round g to three decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14*4\/(-14))\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 2*t - 676, -2*t = 8. Suppose -m = 5*c + 273. Put 1, c, 4 in descending order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/2 + 14989*r + 18060040 = 0. What is r?\nAnswer: -1160, 31138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*z - 30, 3*a + 21 + 1 = -2*z. Suppose 2*d = -0*t + 4*t - 66, -t + 34 = 3*d. Let f = a + t. Solve -3*p - f = 0, 3*p + 23 = -5*h - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(200) + 5) + (sqrt(90)\/(-2*sqrt(5)))\/((sqrt(9) - (sqrt(9) + sqrt(9)*1) - sqrt(9))*4))**2.\nAnswer: 7215*sqrt(2)\/8 + 260161\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 - (1 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/((2*sqrt(56))\/sqrt(8)) - (sqrt(11)*1*-3 + 0) - (-2 + -6*((sqrt(132)\/sqrt(4))\/sqrt(3) + sqrt(110)\/(-2*sqrt(10)))))**2.\nAnswer: 26*sqrt(11) + 1875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -0.2, -3\/5, -4, 2\/3 in descending order.\nAnswer: 44, 2\/3, -0.2, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c - 1. Let f be i(2). Let j = -18 + f. Solve -4*l + 25 = -2*h - 1, 2*h - 10 = -j*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 3. Let u(q) = 8*q + 12. Let x(w) = -6*w - 11. Let n(p) = 4*u(p) + 5*x(p). Calculate -4*n(s) - 9*t(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15931, -15933, -15937, -15943, -15951, -15961?\nAnswer: -15973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4365 or -4367?\nAnswer: -4365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 1871\nAnswer: 9\/1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 9:56 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/3 - 419978*x**4\/3 + 22047060080*x**3\/3 + 66144960088*x**2\/3 + 1679936*x\/3 - 88193280128\/3 = 0?\nAnswer: -2, 1, 104996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 at least 111\/11713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 5)*(128*z**4 + 122*z**4 - 248*z**4).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1503026259, -1503026255, -1503026249, -1503026241, -1503026231, -1503026219?\n\"Answer: p**2 + p - 1503026261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*y + y + 141, -n = 5*y - 76. Let i(o) = 17*o**2 + o. What is the remainder when n is divided by i(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776360 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (3 - (1 + 7)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 - -0.07.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 + 0 = 0. Let q = 30 + -28. Suppose -f*s + q = 6. Which is bigger: s or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.09099 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 21310*b + 22705805.\nAnswer: 5*(b + 2131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.8842808 rounded to 3 dps?\nAnswer: -73.884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 840 and 581.\nAnswer: 69720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 237 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 92*p + 562. What is d(101)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88831750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4473\/(-497)*4*(-4)\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*w + 20, 5*m = 16*w - 11*w. Let h = 0.01 + 0.2. Let k = -0.09 - h. Sort k, w, 1 in decreasing order.\nAnswer: w, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 + -1 + 1\/1. Let n(l) = -l**3 - 170*l + 169*l + 4 - 14 - 8*l**2. Let c be n(f). Round c to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 12:48 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77950 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -159\/4, -4, 6, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55576099?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -684 - -688. Let y be 1*(-10)\/(-4)*-2. Let s be -1*8\/y*5. What is the greatest common divisor of s and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133465 divided by -311?\nAnswer: 133465\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 110?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123660?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 57.944. Let g = 0.044 + s. Let l = -1 - -13. Sort l, 2, g, 0.\nAnswer: 0, g, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - 3.6. Let d = l - 0.7. Let g = 5.0000004 + d. Round g to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(5 + (sqrt(1300) - sqrt(1300)*2 - sqrt(1300))*-5 + 0 + (sqrt(1300) + -2)*3))**2.\nAnswer: -162500*sqrt(13) + 137313125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cahc when four letters picked without replacement from cchahcqhccqcwcvc?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 23 + -10)*(20\/(-6) + 11615\/3450).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2320*n + 1190 - 1706*n - 2139*n wrt n?\nAnswer: -1525","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15926139317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 138.44 * -0.5.\nAnswer: -69.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from rxzxjzzxjrzxzror.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 1. Let w = 80 + -32. What is the remainder when w\/(4 - 1) - 0 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -28. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (-1 - -14) - (-79 - -78).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/323414 and 109\/72488?\nAnswer: 901678232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + -77. Suppose 0*z - q = 3*z - 44, 5*z = -p*q + 75. Is 10 a factor of 10\/(-65) - (-535)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.059 and -81 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54779, -54675, -54571, -54467, -54363?\n\"Answer: 104*j - 54883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4306452 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: Simplify 5 + (sqrt(968))**2.\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 44, 135, 314, 611, 1056, 1679?\nAnswer: 2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259808402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681690 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: Suppose 6 = v + 2*v. Let o(s) = -8*s**2 + 14*s**2 - 3*s - 8*s**2 + 2. Give o(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let u(r) be the third derivative of 11*r**5\/12 - 9*r**2. Give u(a(j)).\nAnswer: 220*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(8\/(-1254)) + -2. Let v = 154 - l. Is -2 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Suppose 0 = -0*n - h*n + 12. Factor 3*m**n - 3*m**3 - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115935?\nAnswer: 3, 5, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 775453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -177c5217?\nAnswer: 177c5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 834, 58, 0.1.\nAnswer: 0.1, 58, 834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 618 = -6*f. Let z = -202 - f. Put 5, z, 3, -3 in ascending order.\nAnswer: -3, 3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125 + 2a?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*u**3 + 9554*u**2 - 50*u + 197572793 wrt u?\nAnswer: 24*u**2 + 19108*u - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -1\/4*n**4 + 8*n + 10\/3*n**3 + 3 - 5*n**2. Let v be t(9). Sort v, 4, -0.4.\nAnswer: v, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + 2*sqrt(114) + sqrt(114)) - sqrt(114))*-6)\/sqrt(6).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(2) - (3 + 1 + sqrt(2)))**2 - ((sqrt(18) + -1)**2 + (sqrt(16)\/(sqrt(8)*-2))**2)).\nAnswer: -81\/2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 4*sqrt(98) + sqrt(98) - (sqrt(18) + 2)) + 4)**2*-1.\nAnswer: -3046 - 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - (-464)\/6. Factor l*k + 4*k**3 + 16*k**3 + 13*k**2 + 3*k**2 - 81*k.\nAnswer: 4*k*(k + 1)*(5*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*l - 39 = 0, -5*c + 2*l = -54 + 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139260, -278521, -417782, -557043, -696304?\nAnswer: -835565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-6)\/4)\/(255\/612).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*x**3 - 42*x**3 + 210*x**3 - 46*x**3 - 49*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.2.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28072 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*24)\/4 + -4. Solve -6 = -p + b*u, 0 = -0*p + 2*p - 5*u - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11355389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45398703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79228 and 663876.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*sqrt(190))\/(sqrt(640)*2))**2.\nAnswer: 4275\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 58*l - 304 = 0. Solve 5*x - 26 = -l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, 14\/5, -3\/2 in increasing order.\nAnswer: -4, -3\/2, 0.1, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 420807*k**3*y**2 + 455*k**3 + 2552*k**2*r**3 + 24*r**3*y**2 wrt y.\nAnswer: 841614*k**3*y + 48*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218822 and 7.\nAnswer: 1531754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3\/3 - u**2\/2 + 2*u - 12. Let p(j) = -2*j**2 + 2*j - 4. What is -3*p(t) - 7*x(t)?\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3246 times 4.9?\nAnswer: -15905.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1532 and 39871066?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/660*-10*2\/(11*-6).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2506 and 3169334.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen halves of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/3))**(-3\/4)*(s\/s**0)**38 assuming s is positive.\nAnswer: s**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 236 - 256. Suppose -2*n - 2*s = -3*n + 443, 4*s - 2257 = -i*n. Calculate the remainder when n is divided by 116.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 8*u - 9. Let p be d(13). Suppose 2*r - 2*i + 14 = p, -r - 3*i = -25. Solve -4*w + 2 = r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 16\/((49\/(-392))\/(1\/(-8))). Solve o*q - 11 - 45 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from bwlwbl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 + 5*c + 5. Let y(t) = -8*t**2 - 7*t - 5. Calculate -6*f(z) - 5*y(z).\nAnswer: -2*z**2 + 5*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 268 + 1?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/((-12)\/(-144)). Suppose -w*r = -5 - 7. What is the highest common divisor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46495502 and 908?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 61*m**2 + m + 109. Calculate h(-61).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) 0.39156 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5*16 + (-90)\/450. Calculate the remainder when (8\/t)\/((-25)\/(-150)) is divided by (1 - (-1 + 0)) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/11, -12, -0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42196 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12221310 - 1?\nAnswer: 12221303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y - 5*y - 2*y)*(-1 + 1 + 2 + (0 - 1 - 1)*(0 + 2 + 0))*(149 + 2*y - 149).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2 - 8 - -35) + (-5 - 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13061501 (base 7) to base 8\nAnswer: 4427075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.6. Let p = 10 - 10.02. Let g = p - 0.18. Which is the nearest to z? (a) -0.1 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/3)*q*q**(1\/9)*q*q*((q*q*q*q\/q**(-2))\/q)**(12\/5) assuming q is positive.\nAnswer: q**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*n**3 + 387*n**3 - 196*n**3 + 31*n**2 - 22*n**4 wrt n?\nAnswer: -528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 95.3, -0.5, 2\/5, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -27. Let y be 4\/p + (84\/54)\/2. Calculate the greatest common factor of y and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 8*c - 4. Let x(r) = 7*r + 4. Let k(n) = -2*p(n) - 3*x(n). Let s(f) = -2*f**2 - 6*f - 5. Determine -5*k(v) + 4*s(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2739*i + 1986*i - 3331*i to f + h*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -775 or -769?\nAnswer: -769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18956180 to the power of 1\/2, to the nearest integer?\nAnswer: 4354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 6*g**2 - g - 15. Let k(f) = 4*f - 3. Let j be k(7). Suppose -3*w = 2*w - j. Let q be t(w). Solve 0*l = -q*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -8*x + 27. What is the second derivative of x*y**3 + 17*y**3 + y + 8*y**3 wrt y?\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4277\/3945?\nAnswer: -4277\/3945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose 0 = -5*b + w + 3. Calculate the lowest common multiple of b and ((-8)\/10)\/(2\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 - 3)*(-2*t - 7*t + 0*t) to the form k + w*t and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(4050\/189 - 21). Sort -26, -3, -4, -12, o in decreasing order.\nAnswer: o, -3, -4, -12, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {n: 1, a: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 67?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 47*z + 8. What is the hundreds digit of u(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 42. Let y = -86 + k. Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*r - 0*r. Suppose -58 = -4*j + 3*t - t, -r*t = 2*j + 1. What is the greatest common factor of j and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 2*j**2 + 12*j**3 + 0*j**3 + 29*j**3. Let a be w(1). What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdxux. What is prob of sequence du?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -38. Let h(x) = -s*x + 21*x - 2*x**2 + x**2. Suppose 4*y + 6*g - 4*g = -24, -y + g - 6 = 0. Calculate h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -128*j + 68*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 69*u - 35*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/5))\/(u\/(u*u**(-1\/2)*u*u)))\/(u**18*u*u*u**15) assuming u is positive.\nAnswer: u**(-329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 6:59 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 0.05.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (5 - -4)) + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, h: 7}. Give prob of picking 2 w.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*y - y = 10, -15 = 5*y. Suppose 0 = 2*p - p - q. What is the second derivative of 5*a**3 - 287 - p*a + 287 wrt a?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -30?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = -6*j. Suppose j*q - 2*q = 67. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(1300)) - sqrt(1300)) + -4 - ((1*sqrt(1300))**2 + 2 + -3).\nAnswer: -1315 - 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 16*a + 23. Let g be ((-21)\/(-3) + -2)*2. Let p be c(g). Let v = -11 - p. What is the remainder when 16 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -88889\nAnswer: -17777.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let d = 82.09 + -83.09. What is the third smallest value in t, d, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 51*a**3 - 2 - 53*a**3 with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050953000 rounded to the nearest 1000000?\nAnswer: -1051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t + 4. Let f be z(-5). Suppose -8 = -4*n + f*o - 3*o, 0 = 3*n + 3*o - 6. Solve -r - p - 2 = 0, 0 = -n*r - p + 5*p + 26 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1, -696, 0.5, 86?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48709455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 433 - 15*i - 16*i**2 + 7*i**2 - 489 + 8*i**2. What is a(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0 - 45*v**2 - 11\/64*v**4 - 1\/160*v**5 + 0*v**3 + 0*v. Factor a(p).\nAnswer: -3*p*(p + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2083350 divided by 57\nAnswer: -36550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1313, -1310, -1307, -1304, -1301?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -88*w**3 + 2*w**2 - 1. Let l be (-9)\/(-2) - (-2)\/(-4). Suppose -5*y + 2*f = -5, 3*y + 2 = f + l. Is g(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 + 182 = 5*s. Suppose 0 = -10*y + 3*y + s. Suppose 6 = 18*f - y*f. Solve -b = 2*b - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 7*w**2 - w + 49. Give s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*m**4 - 11122*m**3 - 325667*m**2 wrt m.\nAnswer: 2232*m - 66732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 99\/21 - (-4)\/14 - -2. Is 45\/7 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 12, 4 in descending order.\nAnswer: 12, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-39)\/12*2 - 2 and -75\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2652\/5*n + 879138\/5 + 2\/5*n**2.\nAnswer: 2*(n + 663)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3440344260 + 5\nAnswer: -3440344255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8543*i - 17087*i + 8541*i - 3.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 17*a**2 - 17*a + 41. Let t(w) = -2*w + 32. Let j = 30 + -23. Let i be t(j). Is c(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 920652395 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 294*i**3 + 16*i**2 + i + 5. Let t(f) = -292*f**3 - 13*f**2 - f - 4. What is 6*t(n) + 5*z(n)?\nAnswer: -282*n**3 + 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -407 - -415. Which is the smallest value? (a) -0.42 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16 = -q - 1, 3*q - 14 = -4*d. Suppose k + 62 = d*y - 0*y, 10 = y - k. Let s(i) = 2*i - 12. Calculate the remainder when s(y) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(612))*3 + -5*(-3 + -2*sqrt(272)))**2.\nAnswer: 660*sqrt(17) + 8453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 2*t**2 + 4*t + 3. Suppose 4 = 5*c + 19. Let v be n(c). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000064 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 3, h: 6, l: 1, b: 3}. Give prob of picking 2 b and 1 g.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168470895.\nAnswer: 3, 5, 31, 362303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 73. Suppose -38 = 2*z + q*r, 4*z - 4 + 74 = -2*r. Let d(n) = n**3 + 17*n**2 - 10*n + 16. Is 22 a factor of d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60 and -0.0525?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -29. Let k be (-12)\/j + (-2)\/(-10). Suppose n = -50*n. Solve 2*y - x - k + 2 = n, -2*y + 3*x + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -24. Let h = o - -22.2. What is the smallest value in 2\/5, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.8889 - -0.8889. Put -0.3, f, 1.2, -5, 1\/4 in decreasing order.\nAnswer: 1.2, 1\/4, -0.3, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 0.1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11281 or 11283?\nAnswer: 11281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 13) to base 5\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 82 - 26. Let d(c) = c**2 - 8*c + 15. What is the smallest common multiple of d(p) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002240381 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -0.1 (b) 4 (c) 767 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*o = -4265, -2*s = -0*s + o - 2115. Suppose -5*j = r - s - 1504, 2*r + 2*j - 5152 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**5 + d**4 - d. Let q(l) = 17*l**2 - 35*l**4 + 5*l**5 - 19*l - 48*l**2 + 21*l + 4 + 53*l**3. Let j(h) = -6*p(h) - 3*q(h). Let j(f) = 0. Calculate f.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/15)\/(296\/185)*(-6)\/(-14). Let l = 7.5 - 7. Which is the closest to f? (a) l (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - sqrt(187)*-2)*2 + sqrt(187))\/(-3*sqrt(33)\/sqrt(3) - sqrt(11)) + ((2*sqrt(85) + sqrt(85))*-4)\/(sqrt(40)\/(sqrt(48)\/sqrt(6))))**2.\nAnswer: 51425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(2\/13)*(v**(-3\/2))**26 assuming v is positive.\nAnswer: v**(-511\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.24 take away 10999?\nAnswer: -10971.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2828 + 0.023. What is u rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 take away 803884?\nAnswer: -804346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194 or -4?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 = o, 0*o - 2*t - 3 = -o. Let a = -31 + o. Let v = a - -70. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*s + 8653 = -5*i, 3*i - 10*s + 12*s = -106 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 1 (c) 1\/3 (d) 25\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 500, 5 in increasing order.\nAnswer: 2, 5, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4 - 249425*j**3 - 498825*j**2 + 249425*j + 498830 = 0.\nAnswer: -49883, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428066, 428135, 428204?\nAnswer: 428273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 98304\/5 + 9216\/5*f + 288\/5*f**2 + 3\/5*f**3 = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2)*k))**(-11)\/(k**(-1\/9)*k**(-2\/19))*(((k**2*k)\/k*k)\/k**(-2\/7))\/((((k*k*k**(-5))\/k)\/k)\/(k*k*(k*k*k**(2\/17)*k)\/k)) assuming k is positive.\nAnswer: k**(-190879\/20349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52810235 is divided by 555897.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 = -138*v + 55*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u*u**(1\/3))\/u)*u)**(-34)\/(u**(8\/3)\/(u*u\/(u*u*u**(6\/5)))))**(8\/13) assuming u is positive.\nAnswer: u**(-11344\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 5*j - 6. Let d(o) = -4*o**2 - o + 7. Calculate -6*d(r) - 7*y(r).\nAnswer: -11*r**2 - 29*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464)\/174*7)\/(6\/(-9))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 5*t - 4. Let b be n(-6). Suppose 2*r + 5*o = 53, b*o = r + 3*r - 166. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -6.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0197701075 to 5 dps.\nAnswer: -0.01977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -211112120201 (base 3) to base 13\nAnswer: -126c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13827 - -13821. Let m be (-2)\/(-6) + 86\/3. Suppose -3*j + 17 = -a, -5*a = -j - 0*j + m. Sort 5, j, r, -3 in increasing order.\nAnswer: r, -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -264. Suppose 0 = -5*a - 43 + d. Solve -3*y + a = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23340?\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12528233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -3, 5, 0.5, 1.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -220011200 (base 3) to base 16\nAnswer: -44d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2531, 4856, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*n + 47. Solve 3 = -4*m - 5*y + n, 2*m = -5*y + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -865420 rounded to the nearest 10000?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8130\/19 + -428. Let p = 169 + -165. Let u be (-946)\/688 + (0 - (-6)\/p). What is the second smallest value in -9, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b3 - 7?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -g + b + 2*b, 0 = b. Let p = -105 - g. Sort p, -4, -28 in increasing order.\nAnswer: -28, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 2*i + 13*i**2 - 20*i**2 - i**2 - 2*i + 2*i + (2*i + 4*i - 4*i)*(0*i - 2*i + i) + (11*i**2 + 14*i - 14*i)*(2 + 4 - 5).\nAnswer: 6*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1342225, 1342226, 1342227, 1342228, 1342229?\n\"Answer: j + 1342224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1205 + 1204.5. Let u = 10 - 6. What is the second smallest value in -2\/17, u, z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4 - 4662*a**3 - 46631*a wrt a?\nAnswer: 36*a**2 - 27972*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -38 + -1658663119.3\nAnswer: -1658663157.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3*u + 18711*r**3 - 4*r*u - 2204*u wrt r?\nAnswer: -6*r*u + 112266*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 7*q - 6 = 0. Let i be 3\/(-18) + (-4)\/(-6). Let y be -11*(-1)\/8 + -1. What is the biggest value in q, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -115554 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -24*j**3 - j**2 - j - 1. Let f(l) = 2*l + 9. Let a be f(-5). Does 7 divide z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52747821 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*12*-1*(0 - (-13)\/26). Solve -4*s - v*s = -8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 17, -93, 2\/9, 1404?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1183)\/507*(-3033)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09164 and -1.\nAnswer: -1.09164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -104, -351, -838, -1649, -2868, -4579, -6866?\n\"Answer: -14*q**3 + 6*q**2 - 11*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0482, 48.9, 296 in increasing order.\nAnswer: 0.0482, 48.9, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*b + 164. Let v(j) = -14*j + 9*j - 3 - j**b + 10*j. Suppose -4*g = -2*h - 20, 13 = g + 2*h - 2. Calculate v(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2423*w - 218 = 2428*w + 46*r, 3*r + 73 = -w - 3*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 10 = -i. Suppose 5*b - 1523 = -2*l, -b + i*l = 3*b - 1200. Suppose 3*h - 4*j = 626 - 189, 5*j + b = 2*h. What are the prime factors of h?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(((0 + sqrt(1573))*4 + sqrt(1573))**2*-5 - ((-4 + 2*sqrt(1573))**2 - (sqrt(1573) - (0 + sqrt(1573) + 0 - sqrt(1573))**2))).\nAnswer: -1217597 + 1122*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 46 = -2*h. Suppose -2 + h = 3*n. Let t(r) = -r**2 + 10*r - 6. Is 3 a factor of t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 740173785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -17. Let h(v) = -v**3 - 10*v**2 - v - 13. Let g be h(-10). Let w be 4 - (-1 + 2\/(2\/g)). Calculate the highest common divisor of w and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -222, -123, 100, 483, 1062?\n\"Answer: 6*h**3 + 26*h**2 - 21*h - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.002 + -184.998. Let i = l + 185.0000097. What is i rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44766.29 grams?\nAnswer: 44766290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 69*u**2 - 5*u + 7. List the prime factors of z(2).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*p - 2013 = 154*p - 107*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(-35 - 11610\/(-324))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039975789 to the power of 1\/3, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/(6\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnknkuxuxnssnxxn. Give prob of picking 1 k, 1 u, and 1 s.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0561 - -0.2561. Let z = 1.1 - 1. Which is the third smallest value? (a) i (b) 0.4 (c) z (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 100, -3, 5.\nAnswer: -3, 0, 5, 13, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 83 = 28. What is the remainder when 282 is divided by 4576\/65 + y\/5?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48618)\/(-365) - (0 + (-1)\/(-5)). Let u = d - 133. Solve -7*v - 8 + 15 = u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 40, 64, 104, 166?\n\"Answer: q**3 - q**2 + 10*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 39*f**2 + 9*f**2 - 4*f + 11*f**2.\nAnswer: -7*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 0.276?\nAnswer: 7.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -94, -30, 32, 92, 150?\n\"Answer: -h**2 + 67*h - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177612*n**3*q + 7*n**3 + 3574615*n**2*q wrt n?\nAnswer: 1065672*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3 and -39\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 21.64?\nAnswer: -67.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4223, 4220, 4225, 4238, 4259, 4288?\nAnswer: 4325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031167 - 3189379?\nAnswer: -4220546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1050 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4))\/(q*q*q*q\/((q*q**(3\/5)*q)\/q)))\/(q**(-1\/2))**(-3\/14) assuming q is positive.\nAnswer: q**(-771\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/(4*3\/(-60))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4010760.19 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 10*g - 8. Let h be r(-3). Let l(b) be the third derivative of -b**4\/24 - 7*b**3\/6 + 6*b**2. Calculate l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, 0, 12 in descending order.\nAnswer: 12, 0, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -75*l + 2. Let d(o) be the first derivative of o**5\/60 + 19*o**3\/3 + 23. Let u(t) be the third derivative of d(t). Determine u(g(r)).\nAnswer: -150*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u**4\/11 - 1248*u**3\/11 + 60894*u**2\/11 + 432708*u\/11 - 1099104\/11 = 0. What is u?\nAnswer: -8, 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((12 - 7) + -6)\/((-1)\/2). Solve -s - 13 = -b*x, -x = -2*s - 11 - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d. Let h = -10 - -9. Let p be r(h). Let c be (1 - 0)*9\/p. Let v(x) = -4*x. Let s(j) = j. Calculate c*s(o) - v(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384202947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-560))\/(((-6)\/(-10))\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)\/(n\/(n*((n**(-12)*n)\/n)\/n)))\/(((n*n**7)\/n)\/n)**(-2\/77))**(-3) assuming n is positive.\nAnswer: n**(3660\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155\/4? (a) -3\/5 (b) -4 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 6*s**2 + 6*s - 1. Let v(t) = -t**3 - t**2 + 18. Let f be v(0). Let z be (2 - 2) + -3 + (f - 10). Determine b(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/11*3)\/(476\/(-3927))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8371 + -14280. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omow when four letters picked without replacement from whoooohwhohmo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2172 and 975199764?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 181*s - 170. Let m(q) = -540*q + 510. Let k(g) = -6*m(g) - 17*z(g). Let p(t) = 161*t - 170. Let b(h) = 7*k(h) - 6*p(h). Differentiate b(j) wrt j.\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3872 + 158096. Let b = -154105.949 + i. Let u = b - 118. Round u to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1)*(-6)\/12. Solve 5*n + t + 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h - 4. Let w be l(-3). Let a = w + 27. Let i = -24 + 32. Calculate the least common multiple of i and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.02, -6.8, -0.3 in descending order.\nAnswer: 0.02, -0.3, -2, -6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 895 by 895.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49943.242 - -49899. Round g to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110 (base 5) to base 7.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198746 - 198501.103. Let z = 5.39 - -239.61. Let a = z - q. Round a to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-40))\/((-2)\/(-4))*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 4*l**3 + 4*l**2 - 3*l + l - 1 - 3*l**3. Let y be j(-6). Suppose -y*f + 236 = -28. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k**2 - 7*k + 23. Let d(b) = -7*b**2 + 3*b - 11. Let v(m) = -13*d(m) - 6*r(m). Does 15 divide v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 4 + -37 + 41.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2 - 5*q**2 + 4 + 1 + 3*q**2 + 2*q. Suppose -2*g + 5*g + 7 = u, 4*u + 3*g = -17. Determine b(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2066 in 3\/7, 4.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + -2*(sqrt(15)\/(sqrt(12)\/sqrt(4)) + sqrt(320)*-2 + (sqrt(10) - 3*sqrt(90))\/sqrt(2)))*-4.\nAnswer: -184*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1010100101?\nAnswer: -1010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/120 + 11*o**5\/30 - 25*o**4\/24 + 19*o**3\/6 - 5*o**2. Calculate the remainder when u(-23) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvwwvwwvwwwvwvwwvw. What is prob of sequence vwv?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 38 (c) -4 (d) 0.2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34927 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 2. Let c be u(13). Solve -1 - c = -4*p - 4*r, 4*r + 20 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(343) + sqrt(343) + -3 + -4 + sqrt(343) + (1 + -4*sqrt(343) - sqrt(343)))*2)**2.\nAnswer: 504*sqrt(7) + 5569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370005 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82, -157, -222, -271, -298, -297, -262, -187?\n\"Answer: u**3 - u**2 - 79*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = t - 7, -m - 4*m - 1 = 3*t. Suppose -x - 2 = -3*p, -4*x - 2*p - t*p + 60 = 0. Let q(n) = n**2 - 9*n + 20. Is 30 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from jeeejeeeeeej?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + 11*p + 4*p to the form g*p + y and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10907 and 1664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -52891.088 to the nearest 100.\nAnswer: -52900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 208066400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 64\/12 + (-10)\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -n - 1, -3*w - 4 = -n. Let q(m) = 2*m. Let b(i) = -i + 1. Let d(j) = -2*j + 11. Let k be d(5). Let r(t) = k*q(t) + 6*b(t). Determine r(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 10*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -96)\/((0 + -2)\/(-2)). Let a = q - -149. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 694.92, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*l + 11 = 0, 0 = 5*y + 4*l + 13 + 8. Let c = -0.34 - -0.23. Are c and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - 0) + (0 - -1). Suppose 4 = b, -4*n + 3*b + 1 + 11 = 0. Let a(l) = 1 - 2*l**2 + 0 - n*l + l**2. What is a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/3 + 0)\/1. Suppose -2*y + l + 48 = 0, -3*l = j - 7. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 322*o - 322. Let w(u) = -3*u + 2. What is -322*w(y) - 2*z(y)?\nAnswer: 322*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 34. Let o = -19 + n. Let m(l) = l**2 + 3*l. Let h(c) = -2*c**2 - 8*c. Give o*m(a) + 3*h(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129704 and 173848.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/5, 4, 0.8, -5\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bdab7ce - -2?\nAnswer: bdab7d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -72.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.593 - -4.3.\nAnswer: -14.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45 and -55\/4449?\nAnswer: 4449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1373*v - 457*v - 5508*v - 1807*v + 1519*v)*(v**2 - 2 + 2).\nAnswer: -7626*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 451, 2442, 5759, 10402, 16371, 23666?\n\"Answer: 663*x**2 + 2*x - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 21. Let m be o(7). Solve -2*w - 3*w + 5*n + 15 = m, 3*w + 7 = -5*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 116467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -887, -3174, -6417, -10166, -13971, -17382, -19949, -21222?\nAnswer: -20751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2869 is divided by 354.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1499\/2 + -771. Let w be 0\/(-5) + 1\/(-4). Which is the third biggest value? (a) w (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*x = 2*x - 148, -2*o + 4*x = -40. Suppose -3*n = -33*h + 37*h + 4, 4*h - 5*n = o. Solve f + 5*g + 17 = 0, 3*g + 4 = h*f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 - 6*z + 8. What is the remainder when o(4) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 3*g - 13*z + 21 + 424, -z + 1341 - 1316 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22089 is divided by 1367?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*y = -7332, -3*y - 7327 = 3*n - 2*n. Let l = -29330 - n. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634854 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -1.47. Let b = m + -1.13. Is b bigger than 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11002189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(539) + sqrt(539)) + sqrt(539) + (sqrt(539) + -3)*3 + (2*(sqrt(22) + sqrt(198)))\/(sqrt(4)\/(2*sqrt(2))))**2.\nAnswer: 342*sqrt(11) + 4052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 278006\nAnswer: 1\/139003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/19, 0.04886, -2, 1\/3, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iipipip.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/250, -0.4, -0.9, -245?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/16 - (160342\/(-112) - -11)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.293 take away -0.08217?\nAnswer: -1.21083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/13468 and -93\/12970.\nAnswer: 87339980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 8) to base 2\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1087025 by -43481.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68699 - 867?\nAnswer: -69566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 3*c**2 + 7*c - 9. Suppose u - 6*u = 10. Let i be (0 - 6\/3)\/((-1)\/u). Let z be t(i). What is the greatest common divisor of 30 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 15. Let l = 14.9 - a. What is l rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/46*26*(-272)\/(-1105)?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/((-210)\/10))\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 0. Suppose -4*w - 5*h = -254, o*w - 2*w - 2*h - 301 = 0. Suppose -b + w = 3*m, 5*b - 1 - 19 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 12*q - 9. Let i be v(-13). Let m = -9 + i. Let y(w) = w**2. Let f(o) = -o**2. Calculate m*f(t) - 7*y(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.96 in 0, 6\/31, 5?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ryyrrryrrryrrrry?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 36*p**2 + 2*p - 6. What is s(2)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 d, and 1 s when four letters picked without replacement from bbstsmsbsbtbdbbtdsd?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1095*n**4 + 1641 with respect to n.\nAnswer: -4380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*g - 5 = -i, -3*g - 3 = 0. List the prime factors of i\/20 - (-232)\/10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 53*g + 338. Let t be d(18). What is the greatest common factor of t and 2912?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b = 13*b + 14308. Let i = -509 + b. Solve -3*z - 5*u + u + 7 = 0, 6 = i*z + 3*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, e: 1}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*r - r = 12, 0 = 2*a + 4*r - 6. Let k = 4 + 2. Let q = k - a. Calculate the remainder when 26 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 5)*(-3)\/6. Let b(x) = -x**3 - x**2 + 1. Let z(k) = 24*k + 3*k**2 - 23*k - 2 + 1 + 2*k**3. Determine c*z(f) - 3*b(f).\nAnswer: f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + -3.09. What is the closest to n in -0.2, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/11 + 169254*k**2\/11 + 3580949190*k\/11 + 3580779938\/11 = 0?\nAnswer: -42313, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, n: 10}. Give prob of sequence nvvn.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8911376 - 18418386 = -32*o + 40455646. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t**3 - t**3 + 2*t**3 + 4*t**3 - 5*t**3 + t - 3*t**3 - t + (t + t + 0*t)*(-t + t - t**2) - 3*t**3 - t**3 + 2*t**3)*(0 + 0 + 2).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/15))\/m**(3\/2)*(m**9\/m)**(-2\/53) assuming m is positive.\nAnswer: m**(-1487\/1590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -7, -0.6, -9.\nAnswer: -9, -7, -0.6, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-296)\/(-1036)*(-14)\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -72119*u**2 + 865386*u + 504. What is d(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10946?\nAnswer: 2, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q + 548. Let v = -283 + q. Suppose 4*u - 2*y - 339 - 11 = 0, 3*u - 2*y = v. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 68*y**3 + 232*y**2 - 160*y = 0. What is y?\nAnswer: -20, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 11 = 4*s. Suppose -w + 4*x - s = 0, -w = -0*w + 4*x - 12. Suppose -6*f + 2*f + 80 = w. Calculate the remainder when 39 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 0.04421000265.\nAnswer: 0.54421000265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103580 by 2.\nAnswer: 51790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j. Let p = -559\/2 + 279. Which is the second smallest value? (a) j (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 7. Let w = -11 - -12. Let n(q) = -3*q - w + 5*q - q + 2. Calculate k(m) - 6*n(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1143*l + 11995. Is b(130) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/17976 and -181\/5670.\nAnswer: 2426760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11825928 rounded to 2 decimal places?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219007124.\nAnswer: 2, 7, 17, 460099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 730 + -725. Let k(h) = 6*h**2 - 4*h + 4. Let l(w) = -6*w**2 + 5*w - 5. What is p*k(o) + 4*l(o)?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let q(w) = 3*w**2 - 47. Give p(q(i)).\nAnswer: -3*i**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q. Suppose 5*x = -15, -2 = 4*k + 3*x - 1. Suppose k - 4 = j - w, -j + 2*w - 6 = 0. Let b(d) = 2*d**2 + d**j - d**2. What is f(b(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -221312 - 5?\nAnswer: -221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -1, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 228\/36 + (-4)\/(-6). Suppose -i*o + 35 = 7. What is the derivative of -4*l**4 + l**4 + 2*l**o + 11 wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = 4*l - 16, -5*l + 20 = 3*p. Solve r = -l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 148253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, f: 1, t: 5, h: 3}. What is prob of sequence cfc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/2)*p))**(-11\/3)\/(p**(-1\/9)*p**(-21)*p) assuming p is positive.\nAnswer: p**(395\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 210222010011222?\nAnswer: -210222010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -30. Suppose -y = -c*y + 2*s - 9, 2*y = 2*s. Solve -2*l + 4*o = -l + 16, 2*l - y = o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 4. Let j = 122 + -118. Determine y(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 - 2*b. Let s(t) = -t**2 + 6*t + 6. Let y be s(7). Let c be 9\/3*y - -4. Let h be p(c). Is -1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 447276458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001020 - 1323312?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 14*z = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 4*i + 5*i)*(-1 - 1 + 1) + 2*i + 1 - 1 + (4 - 1 + 0)*(-3*i - i - 2*i).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - v + v + (-2 + 3 - 2)*(-v - 2*v + 4*v) + 0*v + 6*v - 5*v + 14 + 8*v - 10 - 29*v to g + h*v and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 360*b - 66. Let d be r(5). Find p such that 536*p - 149*p**2 + 53*p**2 + 3*p**3 + 38*p + d + 89*p = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*s + 653*s + 657*s - 7.\nAnswer: s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + i = 27, 5*i = 3*g - 27 - 18. Let r be 73 + (-3)\/6*(-42)\/(-7). What is the greatest common factor of g and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968057 divided by 72891?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -24. Suppose -z - 4*y + 9 = -5, 5*y + 20 = 5*z. Let m be 10\/i + 2\/z. Which is bigger: m or 1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90337*r + 90339*r - 88 = 4*v, -v - 22 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from gbbgbggggbgbggggbgg?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/128 and 13\/10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 883815.23?\nAnswer: 883815.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 95310?\nAnswer: 762480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v*((v\/(v*v**(5\/6)*v))\/v)\/v)\/(v\/v**(-2\/9))**(2\/69) assuming v is positive.\nAnswer: v**(3889\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 4*b - 64 = 0, 0 = 5*n + b - 105. Are 22 and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/20*280\/112 + (-1285)\/(-8). Calculate the greatest common divisor of 368 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 1694 = 4615. Suppose 3*x = 2*p + d, -3*x + 93 = -p - 610. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**2 - 37*f. What is the tens digit of h(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51\/16 + 271\/80. What is the closest to 13 in 0.4, -2\/3, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/12 + 4*f**3\/3 + f**2. Suppose -224*a + 270*a - 318 - 4 = 0. Calculate i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from uyyytytuutu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 5) to base 16\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**(5\/11)))**1 assuming t is positive.\nAnswer: t**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1005, 2025, 3071, 4155, 5289, 6485, 7755?\nAnswer: 9111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0137 + -1.0137. What is the fifth biggest value in -8, r, -0.2, 3, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21403 is divided by 1365.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 w, and 1 u when four letters picked without replacement from {b: 1, u: 5, v: 6, w: 5}.\nAnswer: 15\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.8. Let u = l + 0.185. Let i = 0.017 + u. Round i to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 25*x + 255 + 25*x**2 - 184 - x**3 - 228*x + 468 = 0.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 2*r - 162 = 3*w, -2*w + 75 = -5*r. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -17*x**2 + 31*x + 8. Let h(c) = -6*c**2 + 10*c + 3. Determine -4*g(z) + 11*h(z).\nAnswer: 2*z**2 - 14*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50216*i**2 - 92*i + 569*i + 37963*i**2.\nAnswer: 88179*i**2 + 477*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - (366548\/(-144))\/(-13). Let d = g - -196. Suppose -r + k = -6, 2*r - 2*k = 5*r - 3. What is the second biggest value in -24, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*h + 381 + 201, 3*g + h = 338. Let w = g + -67. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204195?\nAnswer: 3, 5, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + t - 19 = -0, 2*t = -3*b - 25. Let c be 3 - 3\/b*-9. Suppose 5*w - 223 = -4*z, -z - 41 = -w - c. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 16 - (-17 - -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1300\/180)\/((-223)\/(-2007))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 + 2*n + 12. Suppose 89*v - 80*v = 0. Determine t(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 10)*(2*d - 13 - d + 14)*(-5*d**4 - 3*d**4 + 3*d**4).\nAnswer: -35*d**5 - 35*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 59. Give x(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96178.61 grams in micrograms?\nAnswer: 96178610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*g + 35, 15*g = -i + 11*g + 17. Determine z so that 99*z**3 + i*z**2 + 3*z - 31*z**2 - 42*z**4 - 105*z**3 + 3*z**5 + 86*z**2 - 42 = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27589?\nAnswer: 47, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/22 and -199\/2040?\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let d(a) be the second derivative of -2*a**3\/3 - a**2\/2 - a. Suppose -2*x = -11 - 1. Suppose -28 = x*t - 2*t. What is t*j(k) - 2*d(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) -1266 (c) -0.5 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) - 48\/72 - -7. Solve 9*l + r = 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 3*k - 2*k + (9*k + 215*k - 400*k)*(-2 - 2 + 3) + 5*k - 3*k + 2*k + (-4*k + 3*k + 0*k)*(0 + 0 - 1) + 2 + 2*k - 2.\nAnswer: 181*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**2 + 2*v - 2. Let d be l(-2). Suppose -4*o - 14 + d = 0. Suppose 5*h = o + 8. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7125 + 13036. What are the prime factors of o?\nAnswer: 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n*((n\/(n\/n**(-2\/3)))\/n)\/n))*n)\/n**6)\/(n**3*(n*n**(7\/5))\/n))\/(n**(-5)\/(n\/(n*n**(-3\/4)*n)))**(-5\/2) assuming n is positive.\nAnswer: n**(-2873\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/4 (b) 1 (c) 5\/2 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-39)*6)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 12, -1324 = -5*t + 4*p. Suppose -5*h + t = -b - 197, 186 = 2*h - b. Calculate the remainder when h is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110 + -10?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 264.7 and 3394648?\nAnswer: 3394383.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 5*u - 66 = -0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149321934 and 2484?\nAnswer: 298643868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -60304.\nAnswer: 3\/60304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/20 + 5*a**4\/24 - 5*a**3\/6 - 102*a**2. Let h(s) = 3*s**2 + 4*s - 4. Give -5*h(c) + 4*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/9)*t)**(1\/37)*(t*t**(-7\/4)*t)**(-39) assuming t is positive.\nAnswer: t**(-12955\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 47*w**5\/5 + 29*w**3\/3 + 4615*w - 8625. What is the first derivative of u(l) wrt l?\nAnswer: 188*l**3 + 58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.945 - 2.83. Let q = 5.115 - n. Which is the closest to -2? (a) 2\/3 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*m - 125300 = -123347 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2105233*h*o - 1662605*h wrt o?\nAnswer: -2105233*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2252 + 5971. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.613 + -5.113. What is the biggest value in 1\/7, 452, s?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -19*x + 10. Let l be j(17). Let s = l + 4071\/13. Let d(f) = -2*f - 1. Let y be d(-3). What is the nearest to -1\/7 in s, y, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162535?\nAnswer: 5, 32507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5555 - 0.05.\nAnswer: 5554.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11644855\/(-7257345) + 20\/12. Let n = f + -12\/2293. Is 1 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111110011001 (base 2) in base 4?\nAnswer: 3332121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 6*j = 20*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:44 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/70)\/((-1)\/(-2*2\/2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*g**2*k**3*t - 9*g**2*t - 112*g**2 + 2*g*k**3*t + 16*g*k**3 - 97*g*k**2 + 2*k**2*t - 2*k*t + 2*k wrt g?\nAnswer: -64*k**3*t - 18*t - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 28 + 106)*(-4*l - 1098*l**3 + 930*l**3 + l) as b + k*l**3 + y*l**2 + g*l and give k.\nAnswer: -13776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (185\/555)\/((-2)\/(-42)). Solve 5*u - 4*x - t = -4, -2*u - 8 = 3*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 353 and 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aar when three letters picked without replacement from arrarrrrrrarrrarrrr.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8*i. Suppose -u + 5*u = i. Let p(a) = -a + 15. Is p(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**5 + c**5 - 3*c**5)*(-2 + 5 - 2).\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 483*w**3 - 3*w**2 + 6*w - 3. Determine r(1).\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1609?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 7*p - 5200. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, a: 2, p: 3, e: 7, v: 3, u: 2}. What is prob of picking 1 a, 1 z, 1 p, and 1 e?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**2*o**3 - i**2*o**2 + 2*i*o**3 - i*o**2 - i + 165*o**3 + 87*o wrt o?\nAnswer: 18*i**2 + 12*i + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)*k*k**(-1)*k*k)**(-10\/3) assuming k is positive.\nAnswer: k**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 140. Which is the third smallest value? (a) r (b) 5\/4 (c) 34 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -1.856. Let h = m - 0.105. What is h rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10020 - 302320313?\nAnswer: -302310233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 - w - 15. Let k(y) = 284*y - 1420. Let c be k(5). Determine z(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*18\/(-20)*12. Is 6 a factor of 42\/9*w\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*d - 163*d + 18 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**24\/(b\/b**21)*(b**2)**(-21) assuming b is positive.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1072 (b) 0.2 (c) -2\/11 (d) 3 (e) 0.044\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.82 in -0.5, -0.3, 109?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-18)\/3)*30. Suppose -q + z = 9*q. Suppose -q*t = -i - 1453, -3*t + 5805 = -4*i + 2*t. Round i to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1830*y - 1696*y = -893*y + 60584 + 179019 for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 757 + -3772\/5. Which is bigger: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 3. Let c(y) = 3*y - 2. Let r(g) = -3*c(g) - 2*j(g). Let p(a) = 3*a. What is p(r(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 1, w: 1, t: 1, o: 5}. What is prob of sequence mwot?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = -24. Let j = s + 7. Let q = -427\/85 + 26\/5. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18274233*l + 18274365*l = 6204 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8 and -86*(-6)\/3248 + (-2)\/(-14).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*j = -b + 904, -j = -226*b + 221*b + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-13) - (0 + 0). Let j = 0.3 + 0.7. Let i be (-1)\/3 - 16\/6. Which is the nearest to j? (a) i (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgwg when four letters picked without replacement from {g: 3, r: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10*z - 284 = v, 0 = v + 2*z + 286. Let m = -286 - v. Solve -m*k - 4*y - 32 = 3*k, 4*k + 31 = -5*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -41. Suppose j = 3*r - 4*r - 10. What is the tens digit of 4\/r + (-244)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhuu when four letters picked without replacement from wwuwwhwwhwuuwwhwwh?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 14*d**2 + 26*d - 12. Let z be j(12). Suppose -n - z = -4*n. Differentiate -n*k**2 + 2 + k**2 - k**2 wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499063300?\nAnswer: 2, 5, 7, 2141519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-5\/6)*g\/(g*(g**22*g)\/g)*g*(g**(6\/7)\/g)\/g*g**(3\/16)\/g assuming g is positive.\nAnswer: g**(-7097\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**5\/12 + 39*w**4\/16 + 3*w**3 + 615*w**2. What is p in m(p) = 0?\nAnswer: -3\/10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -1\/5, 3\/17, 49853?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4489511700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:24 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.026 + -30.974. Let p = x + 28. Which is the closest to p? (a) -0.4 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067271 rounded to 6 dps?\nAnswer: 0.000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let f(z) = -6*z**2 + 16*z + 16. Let m(t) = -2*t**2 + 5*t + 5. Let l(h) = -5*f(h) + 16*m(h). Determine l(v(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 106*q - 87*q**3 + 225*q - 112*q + 2 - 199*q**3 as l*q + p*q**2 + t*q**3 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 210?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13471*a + 0 - 126409*a.\nAnswer: -112938*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*d**3 - 61*d**5 - 132*d**3 - d**2 + 2*d**5 + d**2 + (d**4 - 2*d + 2*d)*(3*d + 0*d - 2*d) - d**5 + d**5 + 2*d**5 + d**5 - 2*d**5 - d**5.\nAnswer: -58*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9116*q**4 + 280*q**3 - 22572*q**2 - 21 wrt q?\nAnswer: 218784*q + 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757591 is divided by 1866?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4561*g. Let w(j) = -j. Determine n(w(y)).\nAnswer: -4561*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(176) + sqrt(176)*-1)*-6*-1)**2.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 - 10115560*j**3 + j**2 - 24921449*j?\nAnswer: 40*j**3 - 60693360*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 9, o: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 1. What is g(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3 - 3 - t. Let o(g) = -g**3 - g**2 - 3*g. Let b be -1*(-11)\/(-2) - 3120\/(-416). Calculate b*o(q) - 6*u(q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170232852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16238922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -5?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 2*t - 2*t**2 - 4*t**2 + 4*t**2 + t**2 + (-3 + t**2 + 3)*(-1 - 2 + 5) + 3 + 0*t**2 + 5*t**2 - 2 - 4 + 4 + 3*t**2 to p + n*t + h*t**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 74, 113, 152, 191, 230?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24146444 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1101 + -755. List the prime factors of m.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93401701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -72412*t + 72408*t - 2*q, 3*q = t + 61 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.1 (c) -1\/218 (d) 0.3 (e) -7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 28. Let q = -12.1 + c. What is q rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51c + 37?\nAnswer: -4d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 210347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(20) + 4)*-6 + -4.\nAnswer: -28 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2147452*0.59.\nAnswer: -1266996.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 1:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(240) + -1*sqrt(240)))\/((2*sqrt(750))\/((sqrt(60)\/sqrt(5))\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 1 = -6*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04753 to three decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 + 5\/4*i**3 - 1\/4*i**4 + i + 0 = 0 for i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 139 = 91. Suppose -13*x + 8*x + m = 0. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -0.7. Let y = 0.83 - 0.13. Let i = y + -0.6. Which is the closest to i? (a) -4 (b) -3\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3 + 1 + 1 + 1 + 7*r + 0. Let i(w) = -15*w - 13. Suppose 2*u = 3*u + 9. Let v(c) = u*o(c) - 4*i(c). Give v(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 5, -13, -5, -1, -7 in descending order.\nAnswer: 33, 5, -1, -5, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854 = -3*w - d, w + 4*w - 5*d - 1450 = 0. Suppose -i = -2*i + w. Let x = i + -131. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*a**2 - 701*a**2 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -6*x. Solve -q + 4*q - 12 = x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 12. Let d be u(-10). Suppose 0 = -d*j + 4. Solve -j*t - 1 = -t, 0 = 5*m + t - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -609, -1345, -2587, -4503, -7261, -11029?\nAnswer: -15975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79911380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 9:40 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let b(r) = 6*r. Let k be b(m). Let y be (9\/4)\/(1153\/72 - (22 - 6)). What is the highest common factor of k and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 33097*i + 1026969. What is b(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 20*v = -100. Suppose -18*b = 14 - v. Put -5, b, 51 in descending order.\nAnswer: 51, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -0.4 in ascending order.\nAnswer: -5, -0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1050222 + 0?\nAnswer: 1050222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:46 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcxccccc. What is prob of picking 3 c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/56992 and -77\/548?\nAnswer: 56992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18335 and 1045?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:54 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 - -279. Let b = i + -349. Let z be 124\/9 + 8\/36. Calculate the greatest common factor of b and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -3. What is the units digit of (v\/2)\/6*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*a**2 + 3*a - 327?\nAnswer: -78*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 3 - -12) + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7593045.\nAnswer: 3, 5, 53, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 3*z**3 - 14*z**2 - 12*z. Is h(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3324064 and 20274?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*r**2*z**2 + d**3*r**2*z + d**3*r**2 + 13*d**3*r*z + 2*d**3*z**2 - 29*d**2*z**2 - 2*z wrt z.\nAnswer: 6*d**3*r**2 + 4*d**3 - 58*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 - 59 - 23*a**3 + (-4*a**2 - 4*a**2 + 3*a**2)*(-3 - 3*a + 3) as g*a + b*a**3 + y + t*a**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1947150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 543799 + -385699. Round r to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Let l be ((-3)\/(-12))\/((-46)\/4*2\/(-4)). Is q >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906332 a multiple of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -2\/9 (c) -73 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/10)\/((-7)\/(385\/(-66))). Let x be ((-28)\/18)\/(4\/(-12)). Determine i so that 0 - x*i**3 - 4\/3*i**2 - 8\/3*i**4 + l*i = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627087 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*i*t + 33330*i + 73*t wrt t.\nAnswer: 61*i + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3846 is divided by 340.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*a, 5*t - 48 = 4*a - 2*a. Suppose 10 + t = 5*x. Solve 4*q + q**x + 0*q**3 - 1 - 6*q + 2*q**3 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49027 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninqniniiiniiqnqiqnn. Give prob of sequence in.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 89.02586us?\nAnswer: 0.08902586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1663, 6634, 14919, 26518, 41431?\nAnswer: 59658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.04 + 11. Let z = t + 0.34. Which is the biggest value? (a) z (b) 0.03 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbb when four letters picked without replacement from {b: 5, r: 4, w: 5}?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 592?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = -4. Let l be 2\/h + 474\/18. Suppose -9*p + l = 8. Solve -3 = p*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -4)*24609\/(-26) 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 34759951?\nAnswer: 17, 29, 70507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 2, t: 1, x: 1}. Give prob of sequence xj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 8, 105*d = 109*d - 5*l - 38152. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 q when four letters picked without replacement from {w: 4, y: 1, j: 3, k: 4, q: 1}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 + 37*n**2 + 395*n + 3215. Factor a(c).\nAnswer: -(c - 79)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-105807.9.\nAnswer: -21161.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mot when three letters picked without replacement from jtttmthootthti.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 224643*s - 2368204 wrt s?\nAnswer: 224643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + l + 2)*(0*l**3 + 2*l**3 - l**3) + 324*l**4 - 369*l + 369*l as v + r*l**2 + s*l**4 + b*l**3 + m*l and give s.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1649754 and -0.114.\nAnswer: -1649754.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360 + 0?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481752401.\nAnswer: 13, 1123, 32999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*u**3 - 1154*u**2 - 1306*u**2 + 2741*u**2 wrt u?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -9)\/(6 + 8)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f**2 - 54 - 37 + 47 + 44.\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(10\/(-160))\/((-1)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + p**2 - p + 1. Let h(c) = -7*c**3 - 10*c**2 + 6*c - 6. Determine 6*g(k) + h(k).\nAnswer: -k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -333, -341, -349, -357, -365?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 71*r - 574. Give f(11).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1033*m + 1462*m + 455*m + 1467*m.\nAnswer: 2351*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 172 (b) 17\/517 (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 165*t**2 + 112*t**2 + t - 278*t**2. Let q(d) = -125*d + 1. Give q(m(z)).\nAnswer: 125*z**2 - 125*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42)\/(((-42)\/6)\/105).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akak when four letters picked without replacement from {s: 4, a: 13, k: 3}.\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3926*i**2 + 783*i**2 + 784*i**2 + 782*i**2 + 791*i**2 + 784*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3984)\/(-12))\/((-10)\/40*16)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080514 to 3 decimal places.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (8 - 3) - -2 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2934\/1304*560\/(-18).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3\/3 - 3365*d**2\/3 - 13600*d\/3 + 13540 = 0.\nAnswer: -6, 2, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -4. Let x be (-1)\/2*q - -1. Let f be (-5)\/(-7) - 0 - 1. Which is the closest to -0.1? (a) x (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34545453 to the power of 1\/2, to the nearest integer?\nAnswer: 5878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-22))\/((-1)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(19\/4)*s))**(-4\/13) assuming s is positive.\nAnswer: s**(23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o + 21 = 3*m, 0 = -2*o + 4*m - 20. Let t(f) = -f**3 - 3*f**2 + 4*f - 1. Let j be t(o). Which is greater: j or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 27*g + 8. Let o be d(-27). Let q(n) = -n**2 + 4*n + 4. Let t be q(4). What is the highest common divisor of t and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0\/l)\/l)**(28\/5))**(-1\/15)*((l**(3\/4)\/l)\/l*l**(-2\/7))\/(l**(1\/4))**(-2\/25) assuming l is positive.\nAnswer: l**(-323\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuohrureoeuhrg. What is prob of picking 1 r, 1 o, and 1 h?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*102\/68.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199 - 137. Suppose -a + 49 = -l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Let o be -4*(-118)\/4 + r. Is (-2 + 32\/12)*o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -3*o - 2*i, -i = o + 2*i - 154. Let t = o - 126. What is the smallest common multiple of t and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-1))\/((-13 + -4)\/68). Let i be 3\/((27\/240)\/3). Is w != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 22*l**2 + 24*l + 180. Let v be t(22). Suppose 5*x + 5*w = 6*x - 236, -3*x + v = -4*w. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/18*(-18)\/(-16)*-4. Let j = -44 - y. Let i = 46 + j. Calculate the highest common divisor of i and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*p + 44 = 0, 12*a - 7*a = 2*p + 208. Suppose 2*i + 2*q = -2 + 8, q = 5*i - 33. What is the highest common factor of a and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5 - 10. Suppose -h*q + 0*q = -12. Suppose 4\/3*i**q + 2\/3*i**5 - 4\/3*i**2 + 0*i**3 + 0 - 2\/3*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -5. Let u = 279.8 - 280. Which is the second biggest value? (a) j (b) u (c) 0.4 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (464\/(-290))\/(-2 + 804\/405). Calculate the greatest common factor of 8028 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -2eb6?\nAnswer: -2eb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihintrii. What is prob of sequence rtih?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*b - 14 = 0, v + 3*b = -v + 10. What is the third derivative of -6*i**5 + 5*i**2 - i**5 + 3*i**5 + v*i**2 wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*6*-3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18903 rounded to the nearest 100?\nAnswer: -18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(-1\/3)))**(-24))**(22\/9)*(((i\/i**1)\/i)\/i)**(-3\/28)*(i**(-2\/5)\/i)**(29\/5) assuming i is positive.\nAnswer: i**(-148103\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 523886 - 522222 = 0 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 3*w + 5*z + 41, 2*z + 47 = 3*w. Calculate the smallest common multiple of 51 and w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15*40\/16)\/(-5).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/2 - 24*z**3 + 9*z**2\/2 + 270*z.\nAnswer: 3*z*(z - 15)*(z - 4)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, -3, 0, -5 in descending order.\nAnswer: 7, 6, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200467 or -200466?\nAnswer: -200467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 6*v - 1. Let c be (-42)\/7 - (1 - 3). Let h be z(c). Solve -h*m = -2*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -15. Suppose -2 - 2 = -m, p - z = 3*m. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3288*b + 2197*b - 1512*b - 5574*b in the form a*b + f and give a.\nAnswer: -8177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 5:18 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.941 and -4.\nAnswer: 7.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -15*j**2 + j. Let o(v) = 652*v**2 - 193*v. Let f(s) = -5*b(s) - o(s). What is the second derivative of f(u) wrt u?\nAnswer: -1154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181*n**3 + 2*n**2 + 8*n?\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -328 + 454. Is t a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 96819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.1 - 27. What is the closest to i in 2\/5, -12, 4\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 4 = 3*r, 0 = -4*i - r + 19. What is the second derivative of -19*p - 176*p - i*p**5 + 8*p**5 + 75*p**4 - 3*p**5 wrt p?\nAnswer: 20*p**3 + 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20465597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1))**(-4\/7) assuming l is positive.\nAnswer: l**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/50)\/(15\/10 + 1).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -202210120 (base 3) to base 12\nAnswer: -8936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(405) - (-2 + sqrt(405))) + -3)**2 + -3 - ((1*sqrt(125) + 1 - (3*(0 + sqrt(125) + sqrt(125)) - sqrt(125)))*6)**2.\nAnswer: -72030 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 24 = 44. Determine u, given that 1\/2*u**3 + 0 + 1\/2*u**t - u = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 11. Suppose c = 5*s - 166. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, v: 7, t: 3}. Give prob of picking 1 z and 3 v.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25424 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 268, 271, 274, 277, 280, 283?\n\"Answer: 3*t + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.650234 litres?\nAnswer: 6650.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lljar. Give prob of sequence lljr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541045 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (141 + 0)*(-1 - 8\/(-12)). Let m = l - -50. Suppose -r - 6 = -m*r. Sort r, 5, 0, -4 in decreasing order.\nAnswer: 5, r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-18)*(-2)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60969664 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480656357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/4 - 2785*b\/4 - 2787\/2 = 0. What is b?\nAnswer: -2, 2787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {i: 13, g: 4, y: 3}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151388 - 86607. Suppose 75*k - 833301 = 54*k. Let r = k - g. What is r rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxxxdxxdxxx. Give prob of picking 1 d and 3 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - u - 18, 3278 = -2*y - 3*u + 3236 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 + -79 - (-4 - 16)) + 11 + 0 + 78.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 - 19069*c**4 - 3 + 19017*c**4 - 9*c + 5*c + c as j*c**3 + l*c**2 + s + d*c**4 + f*c and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l - 90*l + 64 - l**2 - 69.\nAnswer: -l**2 - 105*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -1, -0.2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11570 - 3037 = 114*l + 47*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 85, 17, -51, -119?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4112269.\nAnswer: 7, 587467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**5 - 188*i**4 - 1012*i**3 - 1444*i**2 - 624*i = 0.\nAnswer: -3, -1, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 - 2*j - 4. Let g = 3526 - 3517. Let t(m) be the third derivative of -17*m**5\/60 - m**4\/3 - 17*m**3\/6 + m**2. Determine g*d(y) - 2*t(y).\nAnswer: -2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 7*r - 28. Suppose 5*b - m + 3*m = 50, 4*m = -3*b + 30. Let t be s(b). Put t, -1\/4, 10 in decreasing order.\nAnswer: 10, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30935.56 microseconds to nanoseconds.\nAnswer: 30935560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -908*c**3 - 1 - 13*c**4 + 29*c**4 - 14*c**4 - 409*c**3 + 2 to m*c**3 + d + z*c**4 + h*c**2 + o*c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 6:06 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {j: 2, d: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*c + 3065 = -3*c, 3*n = 5*c + 1839. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -533*t - 255 - 811. Let q(b) = -b**2 - b. Let k(o) = o**3 - 2*o**2 - 4*o. Let s = 1 + 0. Give s*k(y) + t*q(y).\nAnswer: y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)*k\/((k\/k**8)\/k))**(-35) assuming k is positive.\nAnswer: k**(-322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3552 is divided by 606.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(85) - (-1*(sqrt(85) - (sqrt(85) + sqrt(85) + sqrt(85)*-1)) + sqrt(85)))\/((-4*sqrt(55))\/sqrt(11)*-4).\nAnswer: -5*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -51) + 1 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 + -3?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - 1058\/(-8). Let n = 7 - -15. What is the highest common factor of n and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -884*-0.789\nAnswer: 697.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -1\/3, -0.03, -1.73 in decreasing order.\nAnswer: 11, 0, -0.03, -1\/3, -1.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, o: 3, w: 7, v: 2}. Give prob of picking 1 w, 1 v, 1 k, and 1 o.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.93931 micrometers to nanometers.\nAnswer: 44939.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 668*i**3 + 416*i**3 - 146*i**3 + (0 + 0 + i)*(2*i**2 + 0*i**2 - i**2) in the form t*i**3 + n*i + b*i**2 + a and give t.\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4 = 4*a - 7*a, 0 = k + 4*a - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 8) + -21 + (6 - (-9 - -10))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.18 + -608.18. Let k = c + 711. What is the fourth smallest value in -2, 0, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000831 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/10)*(o**6\/o)\/o*o**(6\/5)\/(((((o**(-7)*o)\/o*o)\/o*o*o)\/o)\/o))**40 assuming o is positive.\nAnswer: o**492","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/(x\/(x\/x**9)))\/x)*x**5*x\/x**(-2\/23)*x**(4\/5)*x)**(-2\/9) assuming x is positive.\nAnswer: x**(-3884\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (62\/51 - 10\/(-85))*486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111111001100 (base 2) in base 16?\nAnswer: -3fcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvzziivhiivvzvvh. What is prob of picking 1 q and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 5*s - s)*(s - 2*s + 3*s) + (-3*s**2 + s**2 + 3*s**2)*(1 - 2 + 4) + 0*s**2 + 0*s**2 - s**2 to c*s**2 + z*s + u and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose 2*t = -x*t. Let l = -9 + 11. Put l, -3, t in decreasing order.\nAnswer: l, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*b - 10, 4*z - 5*b = -16 - 10. Let f(m) = -1874*m + 4. Let w be f(z). What is w rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {t: 3, b: 7, n: 1, m: 4, y: 1}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 times 3?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 + 41 = 0. Suppose -a = 3 - k. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4, -w + 3*u + 8 = 4*w. Suppose -4*p + q = 2*q + 147, -149 = w*p - q. Let m = p + 66. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = 190*g - 185*g, 3*g - 5 = 2*a. Solve -5*f - 3*d = 25, a = -f - 9*d + 4*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w\/(w\/(w\/(w*w**0*w*w*w))))\/w))\/w)\/w)**(-2\/37)*(w**6\/w)\/(w**(1\/7)*w) assuming w is positive.\nAnswer: w**(957\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-7) - (-4)\/308*11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 126 = -5*f. Let p(a) = -3*a + 2. Let g be p(-6). Let l = g - 8. What is the remainder when f is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 537 - 732. Let v be (-1)\/3*1 - j\/188. Which is the second smallest value? (a) v (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) -0.0281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - 17*w + 119. Calculate u(10).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29240020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/6)\/1 - (-70)\/140?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 420897\/9625 + -21\/1375. Which is bigger: 45 or w?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 + c - 4. Suppose 0 = 5*n - y - 60, -n + 24 = 2*n - 3*y. Let u = n + -10. List the prime factors of k(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 3?\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, x: 4, t: 6}. What is prob of sequence xux?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.024804.\nAnswer: 0.012402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-24 - (22 + -27))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*k + 69464, -3*k = -95*o + 93*o + 27794. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + 6*x - 6*x)*(-1 + 0 + 4174*x - 4192*x).\nAnswer: -36*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -15*v - 133. What is the common denominator of n(-12) and 2 - 1 - 40\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242364600 divided by 928600\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -47, -86, -125, -164?\n\"Answer: -39*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 9 + 2*v + 0 - 15. Let l = -316 + 312. Let n(o) = -2*o - 5. What is l*n(t) + 3*q(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -185 + 595*a**2 + 610*a**2 + 637*a**2 - 1883*a**2 as x + y*a + i*a**2 and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*z + 84, -2*z + 18 = -z - k. Suppose 180 = 78*u - 80*u. Let m = u + 189. What is the greatest common factor of z and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3641, -4484, -5325, -6164, -7001, -7836?\nAnswer: -8669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1377)\/(-6)*(-2)\/(-3). Suppose 0 = -2*v - 0*y + 3*y + 105, 3*y + h = 3*v. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7873133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*g - 2*h + 354, 0 = 2*g + h + 139. Let z = g + 128. Suppose -1115 = -5*q - 5*j, -3*j + 1183 = 5*q + z. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 - 2*p**3\/3 - 3*p**2. Suppose 0 = 4*v - 4*z + 4, -5*z = -12*v + 8*v - 2. Let j be d(v). Solve 11 = j*a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + -164. Solve 0 = 2*s - 7*s + k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhuuuzvzzz. Give prob of picking 2 z, 1 v, and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 132 + 115 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71)\/((-2130)\/360))\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 10*y - 99. Let k = y + 27. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from ueeeeueeeeee?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + (sqrt(360) + (2*sqrt(360) - sqrt(360)))\/sqrt(8))*-2 + (sqrt(405) - sqrt(405)*-2)*5)\/(1*3*sqrt(576)*-2*1).\nAnswer: -13*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 14 = 70. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 2*g**2 - g**2)*(-27543*g + 2*g**3 + 27532*g + 4*g**2 - 2*g**2).\nAnswer: 6*g**5 + 6*g**4 - 33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2128 and 299782.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5742, 22895, 51490, 91533, 143030, 205987, 280410, 366305?\n\"Answer: c**3 + 5715*c**2 + c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 2*w**3 - 17 + 12 - 14*w**2 + 23 + 2*w as b + k*w**3 + t*w**2 + a*w and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) -0.2 (c) -3\/2 (d) 0 (e) 2599\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3723.\nAnswer: 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 13 = -12. Let s = 6 + -2. Suppose -5*o = -s*o - z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s + t, -9*s - 2*t = -7*s. Solve 5*l + s = 6*l, -3*d - l - 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 + 1064031*k**2 - 2358700029249*k\/5 + 25945056586977\/5.\nAnswer: -3*(k - 886687)**2*(k - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 20. Let t(g) = 5*g - 5. Let v be t(4). Suppose 2*o + 3*x - v = -0*x, 0 = -5*o + 2*x + 9. What is the remainder when m is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 584 and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - 9861915\/(-65)) + 39\/169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(d**2 - d**2 + 2*d**3)*(d + 0 + 0 + (2 - 3 + 3)*(4*d + d - 3*d) - 2 + 2*d + 2 + 12*d - 2*d + 8*d).\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 72?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 smaller than 532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7372 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102151 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**2 - 1\/2*b**4 + 11\/6*b**3 + 0 - 5*b. Find the second derivative of c(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1708\/196 + 1 + (-10)\/14. Solve -6*i - 2*c - 9 = -i, 4*c - a = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -211.1.\nAnswer: 2533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/9 and -21\/734.\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6877028600 to the nearest one million.\nAnswer: 6877000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5 (b) 1\/4 (c) 1 (d) 3\/5 (e) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33534873 (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12*b - 8*b + 4*b - 1.\nAnswer: -16*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 + -2 + 10 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875770 is divided by 62547.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -4 (b) 1 (c) -1 (d) 28 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020566457 rounded to seven dps?\nAnswer: 0.0020566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/4)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.21 + 0. Let o = 0.15 - c. Which is smaller: -1\/3 or o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 8, 5*w = c + 6*w + 1. Solve c*x = 12*x - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 78, 1, 0, -13 in descending order.\nAnswer: 78, 1, 0, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:23 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5\/18, 11, 1\/8, -2\/7?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1.8 (c) 2656 (d) 8 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 25 + 63 = 0. Calculate the greatest common divisor of 33 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -15553007\nAnswer: -3\/15553007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.3777176 + 5.5969043. Let t = -36.9189397 + c. Let x = -41.7 - t. Round x to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89.9 + -8.9. Let s = n - 79.33. Round s to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172749 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -79. Let j = 27.06 - v. Let g = j - 0.06000021. What is g rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 9, 41, -5 in descending order.\nAnswer: 41, 9, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4568 - -4572. Let v(t) = t**3 + t**2 + t + 1. Let i be v(0). Put -5, -9, r, i in increasing order.\nAnswer: -9, -5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let w(t) = -30*t**2 + 10*t + 10. Suppose 2*v = 4*v - 6. Let g(i) = 10*i**2 - 3*i - 3. Let q(d) = v*w(d) + 10*g(d). What is q(u(y))?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/28*-3*3*2\/(-54).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77256 is divided by 18990.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10001209\/22 + -454677. Let w = -151 + 74. Let q = a - w. Calculate the common denominator of -85\/14 and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003942066 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.06, -0.5, -14, 1\/3 in descending order.\nAnswer: 1\/3, 0.06, -0.5, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + (53 - 53)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(-1 + -3 + sqrt(125) + (sqrt(125) - (-2 + sqrt(125) + -4)) + sqrt(125) + sqrt(125) + (-1 + sqrt(125))*-3))**2 + 0.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90515.15 weeks in hours?\nAnswer: 15206545.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10186 + -8200. Calculate the least common multiple of t and 42.\nAnswer: 13902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 3*g + 9, 0 = -4*j + 5*g - 11. Let s be -7*(1 + (j - -1)). Let c = 19 + s. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 2*j**2 + 4*j + 1. Let d be b(3). Let m = -69 - -71. Suppose -v + 0*h + h + 2 = 0, -d = 2*v + m*h. Is v greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6340 rounded to the nearest 100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (525\/(-1155))\/(3\/(-11)). Let d(v) be the first derivative of -12 + 5*v - b*v**3 + 1\/2*v**2 + 1\/4*v**4. What is d(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4743 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: What is next in -210, -419, -640, -879, -1142?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 times 163?\nAnswer: 33089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = -k + 36, -5*k = 15. Let f be (48\/40)\/(6\/r). Let y(p) = 38 - 2*p**f - 38. Let a(t) = -17*t. Determine y(a(q)).\nAnswer: -578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-6 - -4))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/105 and -107\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(152)\/(sqrt(64)\/sqrt(8))*3 + ((-4*-1*sqrt(133) - sqrt(133))\/((sqrt(77)*-2)\/sqrt(11)))**2.\nAnswer: 3*sqrt(19) + 179\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10697 is divided by 3227.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6879157787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 109, -3.6, -4?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14275 - 134*b - 14275)*(b**2 + 2*b - 2*b) - 2*b**3 - 2*b**3 + b**3.\nAnswer: -137*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = 12*f + 512. Let z = f - -133. Solve -j - 10 = -z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2 - 7356*t - 4509228 = 0. What is t?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/8)\/(4 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**3 + 25*g**2 - 8*g - 17. Let j(o) = -5*o**3 + 29*o**2 - 9*o - 18. Let s(d) = -6*h(d) + 5*j(d). Give s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 19 + 100 - 115.\nAnswer: -3*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/((b**(-8\/5)\/b)\/b))*b)**(-26) assuming b is positive.\nAnswer: b**(468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/57*((-10 - -1) + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-29)*353\/(-1412)*4\/(-12)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 335496843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - sqrt(2448)*-4)*-1 + -5)*-1)**2.\nAnswer: 600*sqrt(17) + 61225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502796 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 - 200*u - 118604 = 0 for u.\nAnswer: -149, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*1 - (-5 + 6). Let a = r - 10. What is the remainder when 90 is divided by ((-69)\/a)\/((-5)\/(-10))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7036*-0.3.\nAnswer: 2110.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + 3 + -2 + (sqrt(1300) + (sqrt(1300)*-2 + -3 - sqrt(1300)) + sqrt(1300) + (sqrt(1300) - (0 + sqrt(1300))) + -4)*-6))**2.\nAnswer: 138000*sqrt(13) + 1222900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-2)*(-7)\/((-105)\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 303? (a) -6 (b) -0.04698 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 139250958*v + 417752847 = 0. What is v?\nAnswer: 3, 46416983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1048 and 1703?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4) + 0)*4. Let q be (0 - (s - -1))*1. Let p be (65 - (q - 1)) + -1. What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0492 times -143632\nAnswer: -7066.6944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 846 - 462. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 11*y + 6. Determine b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-36 - -29 - (0 + -1))) + -8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18477 + -18418. Solve -5 = 9*m - k for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/7)\/(f*f**6*f)*f*((f\/f**5)\/f)\/f*f*f**(2\/23) assuming f is positive.\nAnswer: f**(-1895\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 4\/(-6)) + (-924)\/(-99). Suppose 4*k - 26 = -t. Suppose s - k = -s. Solve 5*h = l - 10 - 10, s*l = -h + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 307110.258 minutes in weeks?\nAnswer: 30.4672875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))**2*4 - ((sqrt(162)*4 - sqrt(162))*-5)**2.\nAnswer: -35802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2685, 5823, 8961, 12099?\nAnswer: 15237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, 66, 3, 19 in increasing order.\nAnswer: -5, -1, 0, 3, 19, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/470 and 29\/990.\nAnswer: 46530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:50 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -11*d. Let w(p) = 2*p**2 - 6*p. Let r(j) = -j. Suppose 11*s + 8 = 3*s. Let l(h) = s*w(h) + 6*r(h). What is l(y(x))?\nAnswer: -242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2226.5267659 + -3.\nAnswer: 2223.5267659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969, 1936, 2897, 3852, 4801, 5744?\nAnswer: 6681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 4*z - 13*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v + 27. Let r be s(-5). Let f(t) = 2*t - 2. What is f(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 50. Suppose -q = -o*q + 2*w - 65, -3*q = -5*w - 140. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(-2)*(-565)\/(-339)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3914880 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 257*q = -260*q - 122240, -5*g + 6*q = -611254. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 234825 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from xfqepepffexrpx.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(4\/4)\/(3*8\/(-168))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-7)\/(-28))\/(-1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -502600.297 to the nearest one thousand.\nAnswer: -503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(2 - 270\/72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10831 + 17*u**2 + 10820 - 15*u**2 - 6680*u + 6680*u.\nAnswer: 2*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 12 + 12. Let d be ((-495)\/(-6) + f)*2. What is the second derivative of -173*t**2 + t**4 - 7*t + d*t**2 - 2*t**4 wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 - 525\/45. Let r = v - -15. Suppose -r = o - 6, 2220 = 5*b - 5*o. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*l**3 - 6*l**2 - 3*l**2 - l**3 + 317*l + 66*l**3 - 2*l**2 wrt l.\nAnswer: 288*l - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10705?\nAnswer: 5, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*p**2*s**4 - 114*p**2 - 237*p*s - 14*p wrt s.\nAnswer: 36*p**2*s**3 - 237*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -688 - -691. Solve 7*w = w + a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + 4.9. Are 0.1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -8 + -3 + -4 - -5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 + 3126*d**3 + 31593*d**2 - 34716*d = 0.\nAnswer: -11, 0, 1, 1052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -28497067670 to the nearest 1000000.\nAnswer: -28497000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 46. Suppose -4*f = 5*l + 14, -4*l - l - o = -4*f. Let u = l + 3. Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 2*o + 7. Let r(g) = -g**2 + g. Let t(q) = 2*r(q) - v(q). What is t(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 35 = -21. Suppose 0 = -2*q + k - 53 + 9, 4*k - 8 = 0. Let s = q - r. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -9. Let x = -1 + -4. Let a be (-18 - -17)*1\/(-5). What is the third smallest value in x, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 27*p**2 - 3*p - 57. Is 12 a factor of t(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 40810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1815016 and 4928?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5244947*a**3*t**2 + 6*a**3*t*w - 2*a**3*w + 2*a*t**2*w + 2*a*t*w - 2*a*t + 3*a*w - 49 wrt t?\nAnswer: 10489894*a**3 + 4*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2 - 74. Suppose 0 = -3*r + j. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c78b (base 14) to base 2\nAnswer: -1000011001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 109 + (-2)\/2 + 0. Suppose -272 = -5*n + 83. Let l = p - n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/28*1295\/74. Sort -5, -3, -2, m.\nAnswer: -5, -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.982 - -0.018. What is the second smallest value in -0.2, 4, l, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717 divided by -7?\nAnswer: -1717\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10642691.\nAnswer: 10642691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.29 - 0.3. Let p = 5.03 + -5. Let u = r - p. Which is the second biggest value? (a) u (b) 1\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -734*o - 745*o + 1488*o + 20 - 90. Give l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 31 in decreasing order.\nAnswer: 31, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0138397757 rounded to 4 dps?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.28, 5 in descending order.\nAnswer: 5, 1, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 11*d**2 - 12*d - 27. Let u be g(12). Let a = 91 - u. Calculate the remainder when a is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-1650))\/(2*(-4)\/20)*(-20)\/(-28)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8280, -2, -1, -5 in ascending order.\nAnswer: -5, -2, -1, 8280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - (-117)\/27. Suppose 5*k + 10 = 5*p, h*p = 2*p + 15. Let c(g) = -14*g**3 - 9*g**3 + 20*g**k. Give c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(0 + (-147)\/(-14)). Sort 5, 173, k.\nAnswer: k, 5, 173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.04 + 0.04. Let d be -1 + -2 - (-39)\/15. What is the biggest value in -4, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 0*l**2 + 9*l + l**2 - 8 - 6*l**2. Let s be f(8). Solve b + 1 - 3 = s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*t = -19, -3*c - 4*t - 3 = -6*c. Suppose -2 = -c*p + 8. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21444616 is divided by 153?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(468).\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 13*m - 25. Let p be r(0). Find the common denominator of -61\/18 and 8\/(-15) + (-8)\/(9 + p).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 65?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 3.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = v + 5*l, 644 = 23470*v - 23466*v + 48*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**2\/2 + 16*t + 4. Let b be o(13). Suppose 3*a = b*g - 102, 5*a = 2*g - g - 38. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/17010*-21*-27\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73372, -146803, -220238, -293677?\nAnswer: -367120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 5*n + 11. Suppose -t - 4 = -21. Suppose 2*y = 3*a - 4, -23 = 3*y + 4*a + t. Is x(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0344, 13\/4, 1, 5, 4\/7 in increasing order.\nAnswer: 0.0344, 4\/7, 1, 13\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = 1. Suppose -216 = -p + 3*f, -c*p - 6*f + 1099 = -2*f. Suppose -2*v + 4*v + 2*r - 432 = 0, 0 = v - 2*r - p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18363*r**3 - 6822*r**3 + 2344*r**3 - 18513*r**3.\nAnswer: -41354*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millimeter in micrometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109920*b*v - 141519*v wrt b?\nAnswer: 109920*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (36*(-15)\/(-945))\/(7*(-18)\/441)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 50 = -56 - 153. Solve i*f = 47 + 2 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 195082286*k**3 - 1170493764*k**2 - 2340987560*k - 1560658384.\nAnswer: 2*(k - 97541149)*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2399*x = -3716*x + 43461 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0 - 2\/5*f**5 - 8*f + 0*f**2 + 0*f**3 + 2\/3*f**4. Find the third derivative of s(o) wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeaekaeeaaaa. What is prob of picking 1 e and 1 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 8)*(2 + l - 1 + 0*l).\nAnswer: -5*l - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2781819 is divided by 1390890?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -3, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o - 42. Let r(v) = -4*v + 34. Let k(i) = -4*i + 34. Let c(t) = -2*k(t) + 3*r(t). What is the smallest common multiple of c(8) and b(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30847 - -30857. Sort -2, -440, 0, q, 3 in decreasing order.\nAnswer: q, 3, 0, -2, -440","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 1. Let u(w) = -4*w + 2. Let o be 9\/(-18)*(6 + -2). Calculate o*u(h) - 5*a(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.51 + 4.51. Which is the third biggest value? (a) 1 (b) h (c) 4 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 28 = -3*f + 9, -14*d + 4*f + 48 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*h*n**4 + 25*h - 6*n**4 + 43 wrt n.\nAnswer: -180*h*n**3 - 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-170)\/(-4))\/(10\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*a - 72*a - 8*z - 113, 103 = -3*a + 4*z for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*a - 15. Suppose 0 = 2*w - a*v - 122, 10*v - 11*v = 5*w - 339. Which is greater: w or 66?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**4 - 8420790*x**3 - 65*x**2 + 109470210*x + 101049480 = 0. Calculate x.\nAnswer: -3, -1, 4, 1684158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h**4 - 2 + h**2 - 20*h**4 + 36*h**4 - 4*h + h**3 in the form w*h + o + c*h**3 + g*h**2 + b*h**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.8 - 56. Let u = l - 10.79999941. What is u rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -38075, 114 in descending order.\nAnswer: 114, 2, -38075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-12)\/(-72)*(-9)\/(-27)*-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15031*y**2 + y**3 - 101*y + 15029*y**2 - 100*y in the form f*y + h*y**3 + g + c*y**2 and give f.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 2. Let b(h) = h - 8. Let g be b(15). Let m(z) = z**3 - 3*z**2 - z - 2. Let s be m(4). Let k = s - g. Calculate r(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 12:32 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:14 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 2934?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/11 and -39\/439?\nAnswer: 4829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)\/(x\/(x**19*x)))\/((x**18\/x)\/(x**(-10\/11)*x)) assuming x is positive.\nAnswer: x**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10 + 0*b**2 + 3*b - b**2 + 8. Let r be k(1). Solve r = n, -5*n = 2*c - 0*n + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2) + -2 + -2. Let b be 8*((-20)\/(-8) + j). What is the second derivative of 23*i - 6*i + i - 15*i**b wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199962849 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 51 = -0*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -1022211220200?\nAnswer: 1022211220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 + 15 + -15. Let o(h) = 52*h**2 - 54*h - 18. Let s(r) = 3*r + 1. Let z(l) = n*o(l) + 36*s(l). Let d(t) = -t**2. Give d(z(m)).\nAnswer: -10816*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3483*a + 857*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 65*v - 90. Let f(a) = 5*a - 7. Let w(h) = -40*f(h) + 3*l(h). Let g be w(1). Solve -g = -m - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r + 2*r)*(0 - 2*r + 0) + (1 + 1 + 1)*(-r - 4 + 4)*(4*r - r + 3*r).\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7363 - -7365. Solve -3*x - 1 = -4*x + 3*y, -2*x = -v*y - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92297 divided by 5.\nAnswer: -92297\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -6. Let c be (b - -3) + 0 + 5. Suppose 0 = -3*k + 5*f + 266, 422 = 5*k - 0*f - c*f. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 429.\nAnswer: 24882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 24, 1\/2 in increasing order.\nAnswer: -4, 1\/2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(3 + sqrt(147)*1 + sqrt(147)).\nAnswer: -84*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6230725 (base 8) to base 16\nAnswer: 1931d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/7 + 1054*y - 577440\/7 = 0.\nAnswer: 80, 3609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - f + 3. Let n(d) = -6*d + 32. Let l be n(6). What is i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 + 80711*h - 41460298 = 0. What is h?\nAnswer: 517, 80194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 31573020*x - 249213897980100.\nAnswer: -(x + 15786510)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*c + 8. Let s(k) = -k**3 + 3*k**2 - k - 2. Let y be s(2). Suppose y = -4*a - a + 360. Calculate the highest common factor of a and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 55\/15 - (-5)\/15. What is the derivative of -37 + 6*u**o + 75 - 34 + 0*u**4 wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 600 = 6*b. What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = -20. Put 2, y, 3 in descending order.\nAnswer: 3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -820, -2\/3, 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -2929*g**6\/120 - 203*g**5\/60 + 203*g**3\/6 - 46*g**2. Let i(m) = 29*m**3 + 2*m**2 - 2. Determine 2*a(u) + 203*i(u).\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -124*l**7\/7 + 7*l**4\/4 - 1087*l**3\/3 - l**2\/2 + 880. Find the third derivative of y(m) wrt m.\nAnswer: -14880*m**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1 + sqrt(468) + 5))**2 + -4*(sqrt(468)*1 + 4))*4.\nAnswer: 4704*sqrt(13) + 48336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -9*p - k + 18, -4*k + 24 = 4*p. Find r, given that 2\/7*r**2 + 2\/7*r**p + 0*r + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15696706.\nAnswer: 2, 683, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9621, -19244, -28867, -38490?\nAnswer: -48113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745877?\nAnswer: 11, 67807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {b: 2, l: 1, d: 2, a: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*k - 4*d - 194214, -4*k + d - 258947 = 0. Let z = 34737 + k. Round z to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 7 - 1 - y)*(-1 - 1 + 0).\nAnswer: -8*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - 12) - (-28 + 27)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1858 - 1858.3. What is the closest to 7 in l, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpt when three letters picked without replacement from tzptpptzapzzzappppzz.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 640*v. Let i(g) = -309*g**2 + 2. What is i(h(t))?\nAnswer: -126566400*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 15, 1.\nAnswer: -5, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1398.474158 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*j + 8 = 0, 3*n + 4*j + 14 = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 435, 1068, 2075, 3450, 5187, 7280, 9723?\n\"Answer: -b**3 + 193*b**2 + 61*b + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 7, s: 2, m: 2}. What is prob of picking 2 s and 1 h?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*u - 35*u - 44*u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1934*o**2 + 1678*o**2 - 1470*o**2.\nAnswer: 2142*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*w - 10, -5*p - 13*w + 16*w - 15 = 0. Let f(d) be the second derivative of -5*d + 0 - 1\/5*d**5 - 1\/3*d**4 + p*d**3 + 0*d**2. Factor f(h).\nAnswer: -4*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.5 - -14. Sort 1, k, 0.1 in descending order.\nAnswer: 1, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*n = -26460, 8*d = 3*d + 2*n + 33093. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*122.\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2718514564 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1288183\/9 or 143132?\nAnswer: 1288183\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 29602.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let f(z) = -101391*z - 17. What is f(o(s))?\nAnswer: 202782*s - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2367356, -2367358, -2367360?\n\"Answer: -2*q - 2367354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22471382 is divided by 1650?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r - 3. Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2789 divided by -3?\nAnswer: 2789\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595931833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1521 + -1467. What is the greatest common factor of 1107 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4257*w**3 + 69*w + 7*w**4 - 4258*w**3 - 9*w**2 + 4*w**4 - 9*w**4 as o + l*w**4 + j*w + x*w**2 + u*w**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiiiiiiwm. Give prob of picking 2 m.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0 - sqrt(243))**2 + 2*sqrt(432) + sqrt(432).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/9 in -0.3, -1\/3, -1264?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let n = l + 0. Let h = 7 + n. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2678*c = -564*c + 4404*c - 67734 - 49590 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 415.08 - 430. Let x = i - -14.92000789. Round x to 7 dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*(191 + 15). Let x = h + -53. Suppose -4*l - z = -52, 0 = -3*l - 5*z + 34 + 5. Calculate the remainder when x is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prwrprpr. What is prob of picking 3 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62\/62*(-1)\/(-11)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*t + 6)*(3*t**2 + 0 + 0)*((3*t - t - 3*t)*(4 - 3 - 3) + t + 0*t + 2*t + (-9*t - 6*t + 4*t)*(-4 + 2 + 1)).\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/sqrt(36)*-4 + 1.\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/189 - 2*u**6\/135 + 7*u**5\/30 - 11*u**4\/27 - 20*u**3\/27 + 8*u**2\/3 - 127*u - 10. Suppose c(r) = 0. Calculate r.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 17*f**2 - f + 21. Let b be t(17). Put -1, b, 10 in increasing order.\nAnswer: -1, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**4\/12 + 49*q**3\/6 - 20*q**2 + 28*q + 2. Let y(l) be the first derivative of r(l). Differentiate y(j) with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 25*d**3 - 3*d**2 + d + 3. Suppose 3*n + o + 20 = 24, -3*n + 60 = -6*o. Let y(q) = -24*q**3 + 2*q**2 - q - 2. Calculate n*f(l) + 6*y(l).\nAnswer: -44*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141643726 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.095 + 160\nAnswer: 160.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31363*p + 0 - 31395*p + 0.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**2 - 1\/10*n**6 - 2*n + 0*n**4 + 0*n**5 + n**3 + 0. What is the second derivative of f(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 30 - 60. Suppose 0*g = -k*g - 3180. What is g rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*d**5 + 1171*d**4 - 6*d**3 - 68*d**2 + 16*d - 119 wrt d?\nAnswer: 1200*d**2 + 28104*d - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116836 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2786380411?\nAnswer: 103, 197, 137321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8906 - 8906. What is the nearest to o in 0.3, -94, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100001111000011000 (base 2) to base 14\nAnswer: 1a1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -32*x - 53. Let b(o) = o**2 + 17*o. Determine s(b(m)).\nAnswer: -32*m**2 - 544*m - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087621967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/4*1*-1. Let d be 16\/5 - f\/10. Let g(x) = -5*x - x**3 + 3 - 5*x**2 + 2*x**3 + 3*x**2. Determine g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/20 - 7\/(-5). Let t(p) be the third derivative of p**6\/30 + p**3\/6 - 26*p**2 + 7. Calculate t(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 12 + 68. What is the remainder when 76 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3207*y**2 - 3210*y**2 + 20*y**3 - 22*y**3 + 20*y in the form h*y + j + b*y**2 + v*y**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**15*h\/((h**(-16)*h)\/h))\/((h*h**(-3\/17)\/h)\/h**9))**(1\/62) assuming h is positive.\nAnswer: h**(207\/1054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20698 and 15196.\nAnswer: 1200484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*m - 5*m + 0*m)*(-452*m - 14*m**2 + 452*m) to a*m**2 + x + l*m**3 + o*m and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 58\/59171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265661 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l**2 + l - 3. Let i be h(0). Let v(b) be the third derivative of -b**5\/60 - b**4\/12 + 5*b**2. Give v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5749834?\nAnswer: 2, 2874917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3888)\/(-32))\/(1\/2). Suppose -127 - d = -o. Suppose 16*w - o = 11*w. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnfnnnnnn. What is prob of picking 1 n and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 + 12*d**3 - 142*d**2 - 480*d + 3200 = 0 for d.\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156310)\/84)\/(-55) + -5*(-4)\/120?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1938 plus -36.87051?\nAnswer: -1974.87051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-139 - 1) - -2. Suppose -l - 27 = -5*r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728566123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 19*f**2 - 21*f + 29. What are the prime factors of j(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) 6 (b) 3 (c) 2\/13 (d) -1 (e) -3 (f) 33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12232 is divided by 2038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 2*o**2 + o - 8. Suppose 5*a = -k - 12, 2*a = 49 - 47. Let p(b) = -12*b - 3. Determine k*u(l) - 6*p(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725 = -7723*a + 7752*a - 261 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -78*p + 114. Let j = 517 - 520. What is the tens digit of c(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 30871 - 38*z - 38*z.\nAnswer: -78*z + 30871","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6262079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 27 = 2*g, -2*g + j + 7 = -0*j. Sort -3, 5, g in increasing order.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 125094\/12631?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 7*p - 8. Suppose 60*s = 58*s - 14. Determine m(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -364 - -671\/2. Let f = c - -28. Let p = -0.043 - -0.043. What is the third smallest value in p, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*b - 40. Suppose -3*f - 6 = -5*w + 99, w + b = -5*f. Let a be w - 18 - 12\/(-2). Solve -a*s = -s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 11*v - 14. Let m be x(-12). Let r be ((-1)\/(-15))\/((-8)\/(-12)). Let w = 0.95 - 1.05. What is the closest to m in 2\/9, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**3 + q**2 + 62*q + 380. What is j(-5)?\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 270831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.5 + -40. What is the smallest value in b, 0.4, 2, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 326, -2, 2.\nAnswer: -2, 2, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 + 160. Suppose 0 = -3*x + 7*x - 104. Suppose 4*l - 2*j + 0*j - 14 = 0, -l = i*j - x. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*j + 5812 = 0, 1426 - 7218 = -2*x - j. What is the highest common divisor of x and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11051 by 3264.\nAnswer: 11051\/3264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Which is smaller: p or -16\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6900?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.05, -7, -0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12594737.42 to the nearest 100000.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 63*d**5\/20 - 21*d**4\/4 + d**3\/3 + 78*d**2. What is the second derivative of h(v) wrt v?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.444352 to zero decimal places.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + 3 + -2 - ((-27 - 12) + -40))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4096528249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3 + 390*x**3 + 426*x**3 - 868*x**3 + 3*x. Let t(p) = p**3 + p - 1. What is -r(q) + 3*t(q)?\nAnswer: 55*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (576\/108)\/((-18)\/(-27)*1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-7 + 1 + 2 + (-57 + 7 - -115))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8477147?\nAnswer: 7, 113, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v + 78. Let x be p(12). List the prime factors of ((-6036)\/5)\/x*15\/(-3).\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0297926 times 19\nAnswer: 0.5660594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 3*u, -3*w - w + 20 = 2*u. Let q(f) = f**3 - 12*f + 688. Is q(u) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 24821297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h + 2. Let y(m) = -4*m + 2. Let b = 230 + -222. Let o(l) = 12*l - 5. Let p(i) = b*y(i) + 3*o(i). Calculate 17*p(t) - 6*s(t).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n**3 + 2*n**3 + 7*n**2 + 6*n**2 + 2*n**3 wrt n?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - i + i + (20*i + 22*i + 24*i)*(19*i**2 - 41 + 41) as y*i**2 + o*i + k + f*i**3 and give f.\nAnswer: 1255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -431423 (base 5) in base 13?\nAnswer: -6861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 9*b - 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from mmmmmvmmmvmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/11593 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1)*77\/(-14). What is the third derivative of i**6 - n + i**2 + 11 + 0*i**6 wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/15 - a**4\/12 - 5*a**3\/6 + 13*a**2. Let p(h) = 2*h**2 + h + 3. What is 2*b(k) + 5*p(k)?\nAnswer: 2*k**2 + k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + 18. Let x = f + -30. Let l be ((-10)\/x)\/((-22)\/4). Which is the second biggest value? (a) l (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*g + 11, -110*a + 7 = -5*g - 114*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -10. Let x be (-3)\/(9\/2)*-237. Is -2 + (p - -3) + x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1051 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 57 + 47. Sort k, -3, 48 in decreasing order.\nAnswer: 48, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.4167 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -484, -660, -836, -1012, -1188, -1364?\n\"Answer: -176*z - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*18.43336.\nAnswer: 3.686672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y + 172*y + 23*y + 30076 = 0. Is y greater than -212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(102) + -4*sqrt(102)*1 + sqrt(102) - (sqrt(102)*-2 - sqrt(102))*-4))\/((sqrt(432)*2 + sqrt(432))\/(-2*2*sqrt(8))).\nAnswer: -112*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*o + 52, x + 18 = 17. Calculate the least common multiple of 2206 and o.\nAnswer: 17648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018230936 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -dff1?\nAnswer: -dff7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 1. Let k(u) = -4*u - 8. Let p(r) = 8*f(r) - k(r). Let h(y) = -y + 9. Let b be h(7). Let d(j) = 38 - 63 - b*j + 25. Determine p(d(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let u(v) = 7*v + 14*v - 19*v. What is g(u(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6061\/20 + 303. Let x = -8 - -13. Suppose -x*n + 3*r - 1 = 0, -2*r + 7 = -n + 4*n. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -13*z**2 + 130*z - 77. Give x(12).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8*(1008\/80 + -11))\/((-6)\/225)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48089 + 189363 = -1494*y - 30536 for y.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/25 - -4)*105.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13817 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(96) - (sqrt(96) - (sqrt(96) + sqrt(96) + sqrt(96)*-3))) + sqrt(96)) - sqrt(96))\/(5*(sqrt(2) - (sqrt(6) + sqrt(54))\/sqrt(3))).\nAnswer: 4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*m + 150 = 0, -2*y + 179 - 4 = 3*m. Let p = 185 + -235. Let t = y + p. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t. Let f(c) = -33*c**2. Determine f(q(j)).\nAnswer: -528*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(396) - sqrt(396))**2 + 0 - (4 + (sqrt(396) + sqrt(396) + -2 - sqrt(396)) + sqrt(396))).\nAnswer: -36*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8492?\nAnswer: 1\/4246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632216338.\nAnswer: 2, 13, 227, 107119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.3 + 1.4. Let y = 3.07 - -0.83. Let m = f + y. Which is the nearest to -1? (a) m (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/687 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2383*j + 895 = -2434*j - 1094 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-44)\/(-16) + 2)\/(4\/(-168)). Let b = 1744\/9 + u. Find the common denominator of b and -49\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*h**4 - h**3 - 161*h.\nAnswer: -876*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/7 - 42922828*k\/7 + 85845664\/7 = 0?\nAnswer: -21461416, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 6846.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 - -157. Let t = m - -70.00073. Round t to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3, 2, -4 in descending order.\nAnswer: 30, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/198108 and 25\/382644?\nAnswer: 2105689932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/4 + 5*w**3\/3 + 5*w**2\/2 - 55. Let c = -10 + 6. Give u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8\/7)\/q**(-5))**(-43)*(q**(2\/5))**44*((q*q**(1\/5))\/q)\/(q**(-2\/29)\/q) assuming q is positive.\nAnswer: q**(-149193\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.351434mg in tonnes?\nAnswer: 0.000000009351434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -98. What is the highest common factor of 62 and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - -82 - (-1 + -14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*n + 22*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/9*168\/(-32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4604 + -1376594\/299. Let k = v + 576\/3289. Which is the biggest value? (a) 3\/5 (b) 1\/8 (c) k (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u - x = -86, -u + 37 = 2*x. Suppose -u = -r - 14. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76111, -76112, -76113, -76114?\n\"Answer: -j - 76110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 7*w + 1075. Let a(h) = 5*h**2 + 9*h + 1433. Let o(b) = -7*a(b) + 9*j(b). Let l(p) = -5*p. Calculate l(o(q)).\nAnswer: -5*q**2 + 1780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12))**(-50)\/(c**(12\/11)*c**1) assuming c is positive.\nAnswer: c**(6577\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i + 3. Let w(x) = -x**2 - 6*x - 5. Let b be w(-4). Let h be a(b). What is h rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04226 - -0.0384. Round w to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1965 and -11\/420?\nAnswer: 55020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*a**3*i - 2856*a**2*i + 68*a*i + 637849*i wrt a.\nAnswer: -576*a*i - 5712*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3*(-20 - -32). Let m be w\/72 + 8\/(-36). Solve m = -r + 4, 0 = 3*p + 2*r + 2*r - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 13*x - 25. Let t be c(-5). Let q = 43 + t. Solve q + 1 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000390602825 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -28 - 65. Let p be 12\/(-20) - -1 - y\/15. Let r = 27\/4 + -289\/44. Which is the third biggest value? (a) 3\/5 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = 0, -3*f = -0*f + 4*v - 27. Solve 2*c + 3*c = f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 45. Let s = q - 10. Suppose s*g - 279 = -g. What are the prime factors of g?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127092 smaller than -5.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0, 1\/29.\nAnswer: 0, 1\/29, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -12. Which is the closest to 2\/3? (a) -1\/3 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -3 (c) 0.08 (d) -0.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t - t**2)*(2*t + 0 + 0) + 2*t**2 + 9*t**3 + 1091*t + 1094*t - 2188*t + 1 to p*t + w*t**3 + o*t**2 + g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 = 2*r + 537. Put -16, -2, r in ascending order.\nAnswer: -16, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 7725*c - 452717. Give h(-60).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 14*z**2 - 235*z + 74. Give u(13).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-1) - (-6)\/6. Suppose 5*z + 4*y + 12 + 40 = 0, -3*y + d = -3*z. What are the prime factors of (-21)\/(z\/((-240)\/(-9)))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -311, -482, -943, -1838, -3311, -5506?\n\"Answer: -24*g**3 - g**2 - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*j - 110 = 44*j + 1100 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2794 or -3904?\nAnswer: -3904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-11 - (22 - -6))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) - (sqrt(96)\/sqrt(3))**2 - sqrt(150)\/sqrt(3)).\nAnswer: 12*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-v + 0*v + 2*v)*(1 + 4 + 3).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1001101010101 (base 2) to base 14\nAnswer: -1b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30*y - 42077 = 29*y, 25263 = 3*q - 5*y. Does 42 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:11 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -5 - (4 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, c: 3, s: 2, e: 6, t: 1, p: 2}. What is prob of sequence sg?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4101233010 (base 5) to base 3\nAnswer: -120110222200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnllnsnnslnl. What is prob of sequence nl?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14111, 14119, 14135, 14159?\n\"Answer: 4*y**2 - 4*y + 14111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktkvdkkkk. What is prob of picking 1 v, 1 t, and 1 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45299\/228 - 596\/3. Suppose -9*r + 39 = 3. Suppose 7*g - r*g = 0. Is g < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 2*t + 3. Let g = -53\/12 + 167\/12. What is the common denominator of k(-4) and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**6\/10 - 21*x**5\/5 + 83*x**4\/2 + 210*x**3 + 675*x**2\/2 + 223*x. Solve d(j) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612)*1*4 - sqrt(612)) + (((sqrt(612) + sqrt(612) + 1 - sqrt(612))*-3 - sqrt(612)) + sqrt(612) - sqrt(612)))*3*3)**2.\nAnswer: 2916*sqrt(17) + 50301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -8 in descending order.\nAnswer: 1, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8dab (base 14) to base 9.\nAnswer: 820153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, s: 1, k: 1, e: 2, n: 1, o: 6}. Give prob of sequence eso.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 9:06 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -212*j + 76 - 2297*j + 17. Let p be m(-23). What is p rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 15*s - 4*s**2 + 0*s**4 + 1\/300*s**5 - 1\/30*s**3 + 0. Let z(o) be the first derivative of p(o). Factor z(n).\nAnswer: (n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 37. Let v be 2\/(h\/(-6)) - 4\/2. Let q be (-1 - v\/(-3))\/((-8)\/12). Let g(x) = -x**2 + 2*x. Calculate g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.244, -76\/111, -7\/2 in increasing order.\nAnswer: -7\/2, -76\/111, -0.244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 + 0.06. Let a(l) = -l - 12. Let v be a(-2). Let m = v - -12. Which is greater: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750121657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 9*j**2 - 13*j - 7. Let n be c(7). Let q = -4.6 - -32.6. Let o = -24 + q. What is the nearest to 1 in -0.3, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 2*y - 86, -v + 2*y = -34. What is the greatest common divisor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1436 and 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (133\/(-63) + 2)*2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {w: 3, s: 7, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 143\/23469?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -m - 32, -5*d + 119 - 184 = 6*m + 92 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + 16. Let w be 4*((-1)\/2 + s\/28). Solve -w - 5 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6619*y**2 - 2283456*y - 6617*y**2 + 2283456*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 18 = v, -4*d = -3*v - 0*v + 19. Let n = 3 + d. Let w(f) = 9*f + 148. Let y be w(-16). Put n, y, 3 in decreasing order.\nAnswer: y, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3809, 4166, 4803, 5720, 6917, 8394, 10151?\n\"Answer: 140*y**2 - 63*y + 3732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/1080 - j**5\/45 - 5*j**4\/18 - 55*j**3\/6 - 42*j**2. Let l(f) be the first derivative of m(f). Let l(t) = 0. What is t?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 2:35 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 363380999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.5. Let u = 150491 - 150501. Which is the fourth smallest value? (a) 1\/3 (b) -3 (c) p (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 25. Let i(m) = 6314*m - 12683*m + 6373*m - 25. Calculate -7*i(p) - 6*v(p).\nAnswer: 2*p + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**4 - 3*y**2)*(-7*y + 1 - 1 + (2*y + 2*y - 3*y)*(-1 + 6 - 3)).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 44 - 28. Factor 2*g**4 - 14*g**2 + 3*g**4 - 107*g**2 + 60*g**3 - 19*g**n.\nAnswer: 5*g**2*(g - 2)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + (-323)\/76)\/((-33)\/(-24)). Let l = 0 - 2. Put 1.5, d, l in descending order.\nAnswer: 1.5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366613*b**2 - 183305*b**2 - 183306*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 28*p**2 + 2*p. Let z(y) = -y**2. Let l(x) = -u(x) + 2*z(x). Suppose l(j) = 0. What is j?\nAnswer: -1\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2694370*x**2 + 0 - 2694364*x**2 + 5388733*x**2 - 4 + 4.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*w - 26 = 0, 3*j - 4*w + 1 = 17. Suppose -2*d = -7*d + 4*m - 158, -4*m - j = 0. List the prime factors of 3\/(-6) - d\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 4\/3 (b) 0.4 (c) 1\/5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50413918007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42579 by -3.\nAnswer: -14193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8961?\nAnswer: 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:20 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.47, 3, -5 in descending order.\nAnswer: 3, 1.47, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264879 divided by -88293.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3008371\/264 + 11395. What is the common denominator of l and -73\/2200?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797361 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -562*m**2 + 61*m**4 + 153*m**3 - 68*m**4 + 280*m**2 + 282*m**2 - 2 in the form o*m + q*m**4 + n*m**3 + y*m**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + sqrt(1539) + (sqrt(152)\/sqrt(8) - sqrt(19))*1)**2)*2.\nAnswer: -108*sqrt(19) + 3106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 334701, 1338757, 3012179, 5354961, 8367097, 12048581, 16399407, 21419569?\n\"Answer: -o**3 + 334689*o**2 - 4*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2636704 divided by -4424\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-14 - -27) - -46?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1050\/(-504)*12\/(-15)*4\/(-30)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-322))\/((176\/(-11))\/(-32)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5063 divided by -1120?\nAnswer: 5063\/1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(2 - 220\/105). What is the nearest to 0.2 in 8, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 2\/3, 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191311652, -191311647, -191311638, -191311625, -191311608, -191311587, -191311562?\nAnswer: -191311533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 21. Suppose 2*x = -x - 369. Let n = x - -179. Calculate the highest common divisor of n and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bksbk. What is prob of picking 1 s and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8 - 7 - 1 + 1 + 2*g. Let v(z) = 4*z - 30. Let b(o) = 13*j(o) - 6*v(o). Let f be b(10). Solve 0 = 4*i, 0*a + a - 3 = -f*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.047391 from 0.\nAnswer: -0.047391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64401*p + 128783*p + 3360 = 64334*p for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-73)\/511 + 2\/70*19. Let q = 1 - 0.9. Which is the second biggest value? (a) y (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/210 - 13*o**6\/30 - 169*o**5\/15 - 83*o**2. Determine g so that f(g) = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = -215 + 1440. Suppose 3*y - 4*q = -y + 200, 154 = 3*y + q. Calculate the remainder when y is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 0*q + 13\/2*q**2 + 22. Let i(l) be the first derivative of l**2 + 4. Calculate w(i(r)).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.03, -1\/3, -0.5 in ascending order.\nAnswer: -0.5, -1\/3, -0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.50452 and -26.8.\nAnswer: -13.521136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 1584 = -1152. What is the first derivative of 60 + 1 + 24 + 3 - n*s wrt s?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9*9)\/1. Let s(f) be the third derivative of 0 + 0*f + 0*f**h + 1\/8*f**4 + 2*f**2. Let t(z) = 2*z**2. Calculate s(t(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/252*(-56)\/(-352).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-9)\/(-3))*0\/2. Solve h*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/5 (b) 0.3 (c) 0.28 (d) 75\/7 (e) 0.14 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 3 - 8*w + w - 11*w + 0*w + 18*w.\nAnswer: -3*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2157*s**2 - s - 10. Let i be z(3). Round i to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (15 - 46 - -19) - 6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 995 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1*8)\/((-156)\/78)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 9)*(j - j - 2*j) - 41*j + 15*j - 45*j.\nAnswer: -83*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 958*s**2 + 20965*s\/2 + 9525.\nAnswer: (s + 1)*(s + 10)*(s + 1905)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 f when four letters picked without replacement from {f: 3, c: 5, m: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252 + 392. Let f be -8 + 12\/(-1 + 4). What is the tens digit of (f - q\/(-21))*(-39)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqjowwqgqqqqg. What is prob of picking 1 j, 1 o, and 2 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 3\/2, 1\/103?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 11:54 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37567 - 37567. Let b(s) be the third derivative of d*s**4 + 2\/15*s**3 + 9*s**2 + 0 + 0*s + 1\/1050*s**7 + 0*s**6 - 1\/60*s**5. Solve b(q) = 0 for q.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -25*v**4 + 1615*v**3 - 4000*v**2 - 1860*v = 0.\nAnswer: -2\/5, 0, 3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -109*m + 130. Is c(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162\/89 or -3?\nAnswer: -162\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.00116 centuries in decades?\nAnswer: 90.0116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*b - 6 = -2*u, -3*b = -2*u + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u**2 + 18*u**2 + 31*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -33 - (-6 + -4 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 0.64303, -3, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9138 (base 12) to base 7\nAnswer: 63614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 2*r + 1. Suppose 1 = d + w, -d = 3*w - 4*w - 1. Let o be (4\/2 - 0)\/d. Determine j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1648*p - 1646*p + 3292*p + 28. Let j be (16\/(-10))\/((-1)\/(-5)). Is w(j) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:44 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47373054019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.641 - 80.381. Let o = q - -75. What is o rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k**2 - 15*k + 37. Calculate n(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5348.\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13952.000014712 + 13952. Round o to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 15*u + 900 = 0. What is u?\nAnswer: -12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32546016*h**6 - 18*h**2 + 3999*h - 45?\nAnswer: 3905521920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1132140324?\nAnswer: 1132140333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7121, -29980, -68563, -122864, -192877, -278596?\nAnswer: -380015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 29. Calculate r(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/30 - 5*b**4\/12 - 3*b**3 + 16*b**2. Calculate the remainder when y(9) is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -58*r**2. Let y(o) = 20*o + 1. Give k(y(a)).\nAnswer: -23200*a**2 - 2320*a - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 5, -3*o + 65 = 5*m. What is the smallest value in 0, -3\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*s = 706*s - 48 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1838578 and 4\/2313?\nAnswer: 16547202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67165614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7829*y**4 - 59*y**2 - 13*y**2 - 7842*y**4 - 2*y**3 wrt y?\nAnswer: -312*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35753155.75 to the nearest 10000.\nAnswer: 35750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**3 - m**3 - 2*m**3)*(2*m**2 - m**2 - 2*m**2 - 398 + 398 + 71*m**2 + (0 + 0 - m)*(m + 0*m + 2*m)).\nAnswer: 268*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.90935 - -0.06935. Which is the third smallest value? (a) 4 (b) o (c) -0.2 (d) -1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2*6)**2 + -1.\nAnswer: 103679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Suppose 2*y - 6 + z = 0. Let s(i) = i**3 + 7*i**2 + 7*i + 8. Let v be s(-6). Solve -4*l = y*h + 6, h = l - 0*h - v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288446 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 508784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (6 - 11) - (2 - 5 - -10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20833991 - 0?\nAnswer: 20833991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 265*q - 1479. What is the smallest common multiple of o(7) and 329?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70688 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 15*z + 13. Let o be x(3). Which is the nearest to -5? (a) -4 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-10))\/((-2)\/(-10)). Suppose w - 3*i - 26 = -2*i, -3*i - 102 = -m*w. Calculate the remainder when w is divided by -2 - -6 - (-494)\/38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i**4\/2 + 7229345*i**3\/2 - 186663624015*i**2 + 879900160070*i + 266637976900 = 0. Calculate i.\nAnswer: -2\/7, 5, 103274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 614, 603, 576, 527, 450, 339?\n\"Answer: -c**3 - 2*c**2 + 2*c + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - 36) + 35 - -50?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 3. Let d be o(0). Let x = 9\/7 - 57\/28. What is the second smallest value in d, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 0) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 12:22 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 604806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-24) - (-69)\/10*60\/8. Solve -96 - 112 = -g*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63179 - 20712. List the prime factors of h.\nAnswer: 42467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163282 - -270839. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7\/2, -1, -4 in ascending order.\nAnswer: -4, -1, -0.3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2 - 0) + 14. Let t(z) = 6 + 4 - z - 8 + 8. Let x be t(0). What is the greatest common factor of x and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/23, -2\/25, -83, 5?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170 - 162) + (-5 - 2) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -780?\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o + 181 - 256 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/2 + 6*(-5)\/10. Suppose 3*v = -p*j - v + 3979, 0 = 2*v + 8. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*i = -125*i - 15. What is the third biggest value in -1\/3, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179685 and 8283?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -67. Is (j\/(-42))\/(-4) + (-5302)\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-1 - -2 - -1 - 12). Factor -u*y - 4*y - 18 - 3*y**2 + 33*y.\nAnswer: -3*(y - 6)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, z: 8, y: 3}. Give prob of sequence zm.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 3*r - 2*r in the form a*r + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5970, -6111, -6252, -6393, -6534, -6675?\nAnswer: -6816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 2*g - 3 - 19, -1 = a - 3*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Suppose 0 = 2*d - 6, 2*v = -3*v - 4*d + 297. Let y = v - 62. Sort 5, y, q, 2 in decreasing order.\nAnswer: 5, 2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02981139 rounded to 4 dps?\nAnswer: -0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.14765.\nAnswer: -4.85235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:44 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2 + 3. Let j(v) = -71*v**3 - 45*v**2 + 46. Let h(f) = -25*f**3 - 16*f**2 + 16. Let l(y) = -17*h(y) + 6*j(y). Give -6*l(w) + 7*s(w).\nAnswer: -w**3 + 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 895\/6 less than or equal to 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/20 - 5*h**4\/12 + h**3\/2 + h - 17. Determine w(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4542289109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2*f + f)*(11*f - 14*f - 12*f) + 0*f**2 + 4*f**2 - 5*f**2.\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 3974.383851.\nAnswer: 3973.883851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 29. Let t = z - 4. Let g = 54 - t. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.14565 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1152 and (-102)\/(-1683) + (-28496)\/(-264).\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(((-2)\/6 + -5)*-3). Put 9, -2\/13, p in decreasing order.\nAnswer: 9, p, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 - 408*n**4 - 20808*n**3 = 0. Calculate n.\nAnswer: -102, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1098763, -1100062, -1102227, -1105258?\nAnswer: -1109155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 + -5.18. Which is the third smallest value? (a) 1 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - 3*r)*(-2*r + 2*r + r**2)*(-2 - 2 + 5)*(-r**2 + 3*r**2 - 8*r**2) - 4*r**5 - 2*r**5 + 5*r**5.\nAnswer: 17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13390140 by -626.\nAnswer: -21390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 27*i + 12 = 0. Let b(s) be the first derivative of -1 - 1\/20*s**5 - 3\/16*s**4 + 3\/8*s**2 + 1\/2*s - 1\/12*s**i. Factor b(k).\nAnswer: -(k - 1)*(k + 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-6\/11)\/d)*d**(-2\/41))\/(((d**(-1\/10)\/d)\/d)\/d)**(-6\/11) assuming d is positive.\nAnswer: d**(4072\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -112*q**3\/3 + 655*q + 477. Differentiate j(n) with respect to n.\nAnswer: -224*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 61, -10 in increasing order.\nAnswer: -10, 0, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/18 + (-53)\/477\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 8*p - 8. Let c be f(8). Let l = c + 19. Let q(j) = -10*j**2 + 11*j - 11. Let v(h) = 2*h**2 - 2*h + 2. Give l*v(k) + 2*q(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2268 + 2264. Let s = -4.8 + 1.8. Put s, -0.2, 1\/4, z in descending order.\nAnswer: 1\/4, -0.2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9586.9 rounded to the nearest 100?\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309513718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 43*s + s**2 + 16*s - 4*s**2 to t + w*s + m*s**2 and give w.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 12 = 6*x, 4*x - 21 = 5*h + 15 - 28 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271753446 is divided by 7144.\nAnswer: 7142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543259 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -121722*o - 15*o**2 + 121722*o. Let t(x) be the second derivative of 15*x**4 - x. Let i(v) = 35*h(v) + 3*t(v). Let d(l) = l. Calculate d(i(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 60 = -5*d, 0*d - 5*k = -2*d + 39. Let t = d - 2. Suppose -t*b - i + 99 = -3*i, 5*b - 90 = 5*i. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129 - 712?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-15))\/((-4)\/5)*4. Suppose -r - j*r - 4*c - 1 = 0, r + 3 = -4*c. Which is smaller: -2\/109 or r?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 + 329?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/(-40))\/((-4)\/30). Let z(u) = 11*u - 3. Let m(w) = 10*w - 2. Let q(o) = a*m(o) - 5*z(o). Give q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.93 rounded to 0 decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i*o**2 - 33*i*o + 1734*i + 8836*o**4 wrt o?\nAnswer: -8*i + 106032*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6731 divided by -127.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/150 + l**5\/25 - l**4\/15 - 5*l**2. Find q, given that u(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976.946 + -0.8375402?\nAnswer: 976.1084598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:09 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329064 and 42?\nAnswer: 2303448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -650, -557, -468, -389, -326, -285, -272?\n\"Answer: -q**3 + 4*q**2 + 88*q - 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.930551 to 2 dps.\nAnswer: 184.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1004 and 4405.\nAnswer: 4422620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5790036 decades in millennia?\nAnswer: 0.005790036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/9 (b) -15 (c) -5.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 215490.3 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*15\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - (-12)\/5. Let d be (0 - 1) + j + -2. Suppose 3*b + 4*g + 14 = 0, -8*b = -3*b + 3*g + 16. Is d smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 21*f + 258. Let p be v(27). Calculate the lowest common multiple of ((-54)\/4)\/(3 + (-324)\/p) and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/3 + 144*o**3 - 1050*o**2 - 6148*o\/3 + 7136 = 0. What is o?\nAnswer: -223, -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 3 + -5 + 4. Let l(d) = i*d - 1 + 1. Let h(q) = -q**2. Give h(l(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5158317 by -155.\nAnswer: 5158317\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83148.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 12524?\nAnswer: -12520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 12 = 0. Let u be (63\/(-168))\/((-15)\/10). Which is the third biggest value? (a) j (b) u (c) 5 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9*v*v*v\/(v\/(v\/(v**(-1\/9)\/v*v))))\/(((v*v*v*v*v**12*v*v*v)\/v)\/(v**11\/v)))**(-37) assuming v is positive.\nAnswer: v**(-1369\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21325687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80729 or 80138?\nAnswer: 80138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -34. What is the nearest to 0.1 in x, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335\/7 - 1012\/21. Let h = 114.5 + -114. What is the closest to h in a, 1, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 155. Let w = u + 194. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8343*(-1 - 13\/(-3)). What is the highest common divisor of z and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-15))\/(-4*4\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -166\/3. Let i = r + -8. Let g = -21 + 106\/5. Which is the second biggest value? (a) g (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3982\/7 + 67946\/119. Is 2 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*f - 6487 + 834, 2*o - 9370 = -5*f. Suppose 786 - f = -10*a. Suppose a*c - 110*c = -1151. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17750281 + 9450281. Round z to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201002210111 + 0?\nAnswer: -2201002210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(378)*-1)\/sqrt(9))\/(sqrt(36)\/sqrt(150)).\nAnswer: -5*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 278*v**2 - 8. Let w be x(5). Is w\/6*(3 - (0 - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + -178. Let x be (-35)\/10*q\/7. Which is the nearest to 4\/37? (a) 0.2 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1000 and -13\/6702000?\nAnswer: 6702000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 - 11*k - 17. Let t be s(-9). Suppose -4*a - 4*q + 15 + 5 = 0, -4*a - 5*q + 21 = 0. Solve t + a = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/21)\/(1\/148)*1644\/(-1096)*1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b + 19 + 25 - 44 in the form u + y*b and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w. Let l(x) = 19*x + 1. What is l(b(p))?\nAnswer: 133*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -27 + 8 - (18 + -5 - 97)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4660 divided by -932\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -10.1. Let r = 0.065 - -0.035. Let o = y - r. Which is the second smallest value? (a) 4 (b) -5 (c) -3\/7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 65?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 24*a**2 + 43*a + 881. List the prime factors of u(32).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 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 a = -34185\/8 + 4267. Which is bigger: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6893 and 148901?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330*r**6 + r**5 - r**4 - 9*r**2 + 402*r.\nAnswer: 39600*r**3 + 60*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - 105. Solve 7 = -2*o + x*t - 7, -4*o - 30 = -5*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l + 4. Give u(-9).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 9. Let w be (6\/(-9))\/((-10)\/75). Let j(v) = v - 4. Calculate w*j(t) + 2*k(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 25) + 49 - (0 + 61 + (-1 - -5))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/120 + 5*g**4\/12 + g**3\/2 + g**2\/2 + 31*g. Let x(l) be the second derivative of f(l). Calculate x(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let w be (-4)\/6*-3*1. Let l be 2*w*3\/(-6). Let y(q) = 2*q**2 - 4*q - 6. Let u(j) = l*i(j) - y(j). Factor u(v).\nAnswer: -2*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.7? (a) 0.4 (b) -0.3 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55813249?\nAnswer: 23, 1361, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + g + 218 = 0, i + 300*g = 296*g + 91. What is the remainder when 547 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o + 11*o + 22*o - 1 + (-4 + 3 + 0)*(0*o + 5*o - 4*o)*(2 - 4 + 3) to the form m + h*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2085 + 283*u - 282*u - 2*u**2 + u**2.\nAnswer: -u**2 + u + 2085","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7086\/28885 + 72\/545. Let n = -2 - -2. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - 2*d**2 - 5*d**2 + (0*d + 2*d - 3*d)*(2*d - d + d) - 13*d**2 - 11*d**2 + 9*d**2 to the form j*d**2 + r + m*d and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400460711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4393659, -4393656, -4393653?\nAnswer: -4393650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 14*x**2 + 31*x - 100. What is s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5\/4 - 635*m**4\/2 - 47375*m**3\/4 + 1270*m**2 + 47355*m = 0.\nAnswer: -33, -2, 0, 2, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16428103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q. Let x be (2\/(-9))\/(19\/(-171)). What is the remainder when 11 is divided by q + x - -2*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4220 (base 6) to base 4\nAnswer: 32310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.6. Let r = 4244.3 - 4244. What is the closest to -1 in r, 2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 16. Let a(i) = i - 1. Let w(t) = 3*a(t) + l(t). Let j be w(-9). Sort j, -3, 1 in decreasing order.\nAnswer: 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3500, 14029, 31578, 56147, 87736, 126345?\n\"Answer: 3510*f**2 - f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 + 40*w**2 - 128 = 0. What is w?\nAnswer: -4, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 + 1) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 59. Give h(27).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*k + 8, o = -0*o - 3*k - 12. Suppose 15 = -o*r + 6*r. Suppose -64 + 4 = -r*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777 smaller than 5779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 495*o**4 - 2*o**5 + 4*o**5 - 526*o**4 + (-2*o**4 + 3*o**4 + o**4)*(-o + 4*o - o).\nAnswer: 6*o**5 - 31*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Suppose -3*z = -21 - 18. Let u(d) = -d + 14. Let q be u(z). Let b(y) = y - 2. Determine q*b(c) + 2*x(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = 8*u - 7*u, -4 = 4*u. Calculate the smallest common multiple of 101 and m.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59551 - -129312. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 26*i + 186. What is the common denominator of -29\/6 and (5 - -3)\/i - 59\/(-30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 - k**2 + 3*k**2)*(-2*k - 6*k**2 - 2*k**2 + k**2).\nAnswer: 28*k**4 + 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3*(o**1*o)\/o*((((o*o*o**2*o)\/o)\/o)\/o)**21*((o\/o**6)\/o**(-3\/7))**(-41) assuming o is positive.\nAnswer: o**(1634\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 2*n**2 + 3*n + 5. Let k be y(-3). Suppose -1 = z - k. Suppose -o = -2*w, 0 = 4*o - z*w - 4. Solve 0 = o*m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44b45 (base 12) in base 5?\nAnswer: -10411433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*z, 0 = -3*z - 2*o - 3*o + 26. Let b(k) = -z*k + 1 - 3 + k + 3. What is b(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o**4 + 0*o**3 + 0*o**2 + 99*o + 268 - 99\/5*o**5. Find the first derivative of z(w) wrt w.\nAnswer: -396*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:16 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -46ab472?\nAnswer: -46ab476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -92, -97, -118, -167, -256, -397?\n\"Answer: -2*l**3 + 10*l**2 - 17*l - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.5509 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(256)\/(sqrt(32)*-4).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 4*s - 2, -5*s = 15. Suppose 50 = 12*q - u*q. Calculate the remainder when 33 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3292814.\nAnswer: 9878442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288023643 and 6354.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - -10. Suppose q + 36 = 4*d. Suppose 0 = -4*w + 34 + 62. What is the highest common divisor of w and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-2) + 11 + 0. Suppose 4*n = 2*n + 2*w + 28, -2*n - f = 5*w. Factor 4*s - 5 + n - 4 - 4*s**3.\nAnswer: -4*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/(-7) - 22\/77. Sort q, -1, -2, 1.\nAnswer: q, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/124 and 1\/6.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35091881 + -0.142905.\nAnswer: 35091880.857095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 503 = 5914. What are the prime factors of o?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-8))\/(2 + 1435\/(-718)). Suppose -3*t - o = -5*m + 4*m, 4*t = 2*m - 712. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 4. Let d be o(1). Suppose 0 = -3*x - 3*b + 15, -4*b + 5 - 9 = -d*x. What is the greatest common factor of x and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*h**2)*(-2*h + 0*h + h) + 1302*h**3 - 52*h**3 - 783*h**3.\nAnswer: 465*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100599, 201498, 302387, 403260, 504111, 604934, 705723?\nAnswer: 806472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524468 is divided by 337?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 bigger than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*l = -194*l - 1170 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 + 3. What is the remainder when (2\/3)\/((-3)\/(-27)) is divided by o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -841 + -284\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17373 - 17347. What is the closest to 1\/3 in 0.5, 0, 3, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -7. Let i = 1.8 - 1.4. Which is the second biggest value? (a) -0.1 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Evaluate (-2 - 2) + (5 - 0 - 30) - (181 + -179).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*w + 23, 37 = 3*w + 2*h - 7*h. Suppose -5*j = -3*k + 3 - 20, -17 = w*k - j. Let s(i) = -2*i**3 - 4*i**2 + 6*i + 3. Does 15 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 14 - 50. Suppose -5*c - 3*g + 30 = 0, 4*g - 15 = g. Calculate the least common multiple of c\/(-1) + 2 + 20 and m.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/3, 110, -98\/221 in descending order.\nAnswer: 110, 1\/3, 1\/4, -98\/221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y + 8. Let n(v) = 1 - 4*v**2 + 2*v**2 + v + v. What is n(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and -182.03?\nAnswer: 8555.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -22. Suppose 0 = -u + 5 + m. Find the common denominator of -71\/3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/2436)\/(2\/(-24)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 42. Let n = 44 + -55. Let u be q(n). Let a = 3 + u. What is the greatest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3795*g - 72160. Calculate i(19).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + g**2 - g - 1. Let m(p) = 2*p**3 + 3*p**2 - 3*p - 21. Give -3*j(o) + m(o).\nAnswer: -o**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = -0*g, -2*g = -3*f - 22. Let k = 5 + f. Let b(h) = -h - 1. Let l(m) = 2. Let a(p) = k*l(p) + 3*b(p). Differentiate a(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let p(o) = 8*o**2 + 5*o - 5. Let u(r) = 12*r**2 + 8*r - 8. Let l(z) = 8*p(z) - 5*u(z). Determine i(l(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056139 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p + 11. Is a(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1555, 2735, 4695, 7435?\n\"Answer: 390*z**2 + 10*z + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1170855 divided by 11151\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6 + 7*a - 11 + 2*a.\nAnswer: 9*a - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59102 and 13746?\nAnswer: 14007174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 + 0*j**2 + 24*j + 1\/3*j**3. Let v(g) be the third derivative of -3*g**5\/10 + 2*g**2. Give v(i(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 5*y**3\/6 + 25*y**2\/2 + 38257*y. Suppose 0 = -4*l + l - 3. Let f(z) = 1. Calculate l*j(u) + 25*f(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010001001 + -100?\nAnswer: 10000010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 = 612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160\/249 - -2\/83. Let k = -5.3 + 5. What is the nearest to -1 in b, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -w + 13*w. What is the hundreds digit of ((-3)\/w)\/(6\/(2820\/(-5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 916 and 68610?\nAnswer: 62846760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19094 + 19094. Factor 1\/3*x**4 - 1\/3*x**2 + f - 1\/6*x + 1\/6*x**5 + 0*x**3.\nAnswer: x*(x - 1)*(x + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**3 - 40*c**2 + 82*c**2 - 45*c**2 + (-2*c**2 + c**2 + 3*c**2)*(1 - 1 - c) - 4804*c**3 + 2638*c**3 + 2625*c**3.\nAnswer: 467*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -6 (b) -4\/25 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + (-20 + -9 + 22 - -15) + -26.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 29*o + 1. Let c(k) = 2*k - 1. What is -c(n) + v(n)?\nAnswer: 27*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c - 8 = 0. Let j = -4 - c. Solve -2*t + 9 = -5*n, 3*n - 5 = -j*t - 0*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/21 - (-36)\/21. Suppose q*z - 8 = -4*h, 2*h + 3 - 7 = 3*z. Solve -h*n - 10 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2880*u**3 - 1318800*u**2 - 109915*u - 2290.\nAnswer: 5*(u - 458)*(24*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 less than 645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 5*k + 4. Let t be o(-4). Let x = 14 + -10. Solve t = -x*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q = -94*q - 1072. What are the prime factors of q?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + -66. Suppose a*x - 6*x - 315 = 0. Let b = 4 + -2. Calculate the lowest common multiple of b and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23019 divided by 328.\nAnswer: 23019\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 21*x + m - 21 = 0, -2*m + 2 = 0. Which is the third biggest value? (a) -4\/7 (b) 53 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 177900351 and 4.51375?\nAnswer: 177900346.48625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -8602?\nAnswer: -8602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281765992 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 1 - 1)*(-a - 2*a + 0*a) + (4*a - 5*a - 3*a)*(4*a - 7*a + 4*a) + a + a**2 - a - 2*a**2 - 3*a**2 + 2*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35.1? (a) -3 (b) 1 (c) -0.1 (d) -4 (e) 14\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*m**2 - 2*m**2 + 396*m**2)*(-6*m + 3*m + 5*m) + (m**2 + 0*m**2 + 4*m**2)*(-2 + 2*m + 2).\nAnswer: 1040*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*l**2 + 3*l**2 + 4*l**2)*(-56*l + 5*l**2 + 59*l + 0*l**2) in the form g + o*l**3 + z*l**4 + p*l**2 + m*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3220 and 644.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 3*l**6 - 2*l**5\/5 - 15*l**2 - 11. Find the second derivative of h(z) wrt z.\nAnswer: 360*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11616)\/(-1694))\/(20\/14))\/((-2)\/15).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 49*u. Let a(p) = -p. Suppose -4*q - 168 = -8*q. Give q*a(i) + k(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -229 < -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -19 - 1. Suppose 2*s - h = 3*s - 71, v*s = 3*h + 371. What is the remainder when s is divided by (-2)\/2 - (0 + -39)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204256 and 5377432?\nAnswer: 3928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(o*o**(-3\/11))\/o)\/o*o)\/o*o*((o\/(o**(-3\/20)*o))\/o)\/o)\/(o**(2\/9))**(42\/11))**(-22) assuming o is positive.\nAnswer: o**(1301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 10 - 3*q**2 + 7*q + 0*q + 4*q**2 + 3*q**2. Let z be j(5). What is the third derivative of 4*h**4 + 0*h**3 - 4*h**2 + z*h**3 wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 47 = 4*a, -3*b - 50 = -5*a - 0*a. Let l = -10 + a. Suppose -2*n + 2 = -l*f - n, 2*f + 23 = 5*n. What is the closest to f in 0.3, -2, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, b: 2}. What is prob of sequence bvv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 4. Suppose 2*u - 4*u + r = -a, 5*r - 6 = -3*u. Let x(n) = 2*n + 5. Let g(f) = 6*f + 14. Let s(j) = 5*g(j) - 14*x(j). Determine s(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4966 and 2865.\nAnswer: 74490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*a**3 + 11210*a**2 + 525*a = 0 for a.\nAnswer: -15, -7\/149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4157*o + 228629. Give s(55).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12738 + -5?\nAnswer: 12733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*o**2 - 3*j*o*w - 2*j*w - 7*j - 102*o**2*w + 15*o**2 + 83*o*w wrt o.\nAnswer: 2*j - 204*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.0422\nAnswer: 0.1266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:49 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 0.4\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/60 - 5*z**4\/12 - 11*z**2. Let h be q(-10). Let f = 6 + -4. Solve -b + 4*u = -4 - h, -f*b - 5*u = 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*y**2 - 1 - 189*y**2 + 1 + 99*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2517725*b*o*x**2 - 1910*b*o*x - 288*b*o - 9*b*x**2 + 3*o wrt x?\nAnswer: -5035450*b*o - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15419371?\nAnswer: 11, 1401761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 x when four letters picked without replacement from {i: 1, p: 1, h: 2, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 877*g - 35. Let k be m(12). Suppose 3*q = 8*q + 5*u - 17540, 3*q - 4*u - k = 0. Suppose 10*l - q = -1123. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 15*d**2 - 56*d + 55. Let n be y(10). Let g(t) = -7*t - 11. Let k(h) = 3*h + 6. Give n*k(s) - 3*g(s).\nAnswer: 6*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 8689581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 12 - 8*r**2 to g*r + c*r**2 + k and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**5\/50 - m**4\/15 - m**3\/15 + 11*m + 4. Let r(t) be the first derivative of l(t). Factor r(u).\nAnswer: -2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.5. Let i = 0.2 + g. What is the third biggest value in -2, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134 and 170?\nAnswer: 11390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3 - 2*u - 2*u**3 + 4*u**3 - 1 + 3*u**2 - u**3. Let d be y(-3). Suppose -2*b + d = 2*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71809, 144332, 216855, 289378?\nAnswer: 361901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53\/4 of a millimeter?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-18))\/((-2)\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*c + 30234, -4*u + c - 6*c - 30227 = 0. Let a = u + 105703\/14. What is the common denominator of a and 3\/77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28694 + 1?\nAnswer: 28695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 308793 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60929 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -24*p**3 - 3*p**2 - p - 2. Let i be n(-2). Suppose -3*a + a - 4*b = -i, -90 = -a - b. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.52 * 0.04.\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7 + b - 4 + 0 + 0*b. Let u be s(-5). Let w(r) = -98*r - 5. Is w(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**4\/24 - 2*n**3\/3 - 20*n**2. Let s be k(4). What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 0, -2*l - 2 = -3*a - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 6. Let u(k) = k - 12. Let w be u(6). Let y(o) = -1. What is w*y(p) - a(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025710549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + c**2 - 2*c**2 + 412*c**3 - 393*c**3.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42737216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(1\/2). Let s(v) = -v**3 + 4*v**2 + 2*v + 1. Let y(z) = -2*z - 5*z**2 + 2*z + 4*z**2 + 0*z. What is k*s(b) - 4*y(b)?\nAnswer: b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 297140903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51436?\nAnswer: 2, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -13.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54793134 is divided by 333?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3.22, 4, 5, 9, -0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.97664 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7565241614690 - 5?\nAnswer: 7565241614685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 58 = -3*n, 0 = -3*n + 3*f - 2*f + 64. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 491.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -218294419, -218294420, -218294421, -218294422, -218294423, -218294424?\n\"Answer: -p - 218294418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 108, 497, 1170, 2127, 3368, 4893?\n\"Answer: 142*q**2 - 37*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 9*g**2 - 9*g + 2. Let z be y(8). Let c = 5 + z. Let n be 19\/(-76) + (-6)\/(-88). Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 4.4. Let o = 0.2 - 0.7. Let u = -236.7 - -236. Which is the closest to u? (a) 1\/4 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -35. Let g = b - 5. What is the units digit of (1 - 6\/3)*g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -2 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.77 - 0.7699895. Round l to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((1 + 0 - -1) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + (2 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 54*d - 36525. Give r(-220).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/188769 and 11\/3.\nAnswer: 188769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 1. Let b = -1060 - -1062. What is the closest to a in 1, b, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(567) + sqrt(567)*1 + sqrt(567) - sqrt(567)) + 2*sqrt(567)*5)**2.\nAnswer: 648*sqrt(7) + 81657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8.2. Put -4, c, 2\/3 in descending order.\nAnswer: 2\/3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.4 (c) 185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 731 and 13459.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4793 + -14381\/3. Which is the nearest to x? (a) -1 (b) -1.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -5*v**3\/3 + 3*v**2 - 14*v - 162. What is the first derivative of f(t) wrt t?\nAnswer: -10*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*q + 61 - 105, c = 3*q - 15 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6557833 and 713?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 108731151895\nAnswer: 108731151894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + c - 29*c**2 + 30*c**2 + 1 - 2*c in the form n*c**3 + g + l*c**2 + q*c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p + 1. Let x be v(7). Suppose -t - 12 = -3*t. Calculate the lowest common multiple of t and x\/6 + 2\/(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 1:14 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4128053 + 4128058 - 93*k**3 - 4*k**4 - 6*k + 3*k**4 to d*k + x*k**2 + i*k**3 + s + g*k**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*k = 265*k - 16992 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.11 - 5.11. Let m(p) = p**2 - 2*p + 1. Let o be m(6). Which is the nearest to w? (a) 2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 + 20*r**2 - 2*r**2 + 6*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*r**3*v*y - 24*r**3*y - 4*r*v*y + 3*r - 14*v - 4*y wrt r?\nAnswer: 828*r*v*y - 144*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/36))\/p*p**(8\/3))\/(p**(-3\/7)\/p)**3 assuming p is positive.\nAnswer: p**(1759\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-424)*-12*((-20)\/(-6))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -313844600 to the nearest 1000000.\nAnswer: -314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*g**5 + 1367 - 2738 + 1363)*(4 - 4 - 2).\nAnswer: -112*g**5 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100301493?\nAnswer: 3, 53, 630827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q + 1 + 4*q)*(-3 + 1 + 4)*(-2*q**4 - 3*q**4 + 6*q**4).\nAnswer: 4*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = a - 464. Suppose 168 = -5*z - a. Which is smaller: -58 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378731, 757463, 1136195, 1514927, 1893659, 2272391?\nAnswer: 2651123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -69*a**2 + 144*a**2 - 69*a**2 + 5*a. Let r(x) = -3*x**2 - 2*x. Calculate -2*o(z) - 5*r(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -4*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - -1705. Suppose 3*l - 4*b = 2705, -2*l - b - 2*b = -x. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1859, -7462, -16777, -29786, -46471?\nAnswer: -66814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (-18 - -12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/((-5265)\/12)*(-3)\/(-2). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-7 - -4) - 6. Let v(b) = -b**3 - 8*b**2 - 7*b + 2. Let p be v(a). Solve -p*c - c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5618613 is divided by 92?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12157 less than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*195\/(-117)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**8\/84 - 26*x**7\/105 - x**6\/2 + 171*x**5\/5 - 81*x**4 - 103*x**2. Factor o(z).\nAnswer: 4*z*(z - 9)**2*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 26757.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-42)*(-1)\/(-4)*255\/(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 9*p. Let j be k(-9). Suppose 5*z - 5*a - 30 = j, 5*z - 4*a - 17 = 2*z. Calculate the highest common factor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74 + -2b9275b?\nAnswer: -2b92813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84017\/24 or -3501?\nAnswer: -84017\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -28. Suppose -3*v + f*v = 9. What are the prime factors of v\/(36\/88) - -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(5 + -2 - 63\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2911 + 0.3111. Which is the smallest value? (a) -585 (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44792 >= -44834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -311, -66050 in ascending order.\nAnswer: -66050, -311, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-88)\/(-495)*1\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*x - 2 + 103*x + 49*x + 2*x**2 to b*x**2 + u + g*x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w - 5*q + 76, -w + q = -100. Let y = -29 + w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2264.\nAnswer: -5\/2264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/44 - (112\/(-22) - -5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - 19002?\nAnswer: -18ed7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from mdtt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**5 + 7*r**4 + 325*r**2.\nAnswer: -660*r**2 + 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2782, 2773, 2750, 2707, 2638, 2537, 2398?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)\/x*x\/x**(1\/11))**17 assuming x is positive.\nAnswer: x**(221\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -851449.\nAnswer: -851448.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -19 - ((2 - 6\/2) + 2532\/276)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 82*m**2 - 438*m - 264. Calculate b(-87).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d - 12. Does 24 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29ac82 - 2?\nAnswer: -29ac84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.077 + 0.077. Let g(t) = -t. Let k be g(-3). What is the second smallest value in k, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 11*p + 13. Let r be l(-11). Let n = 23 + r. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -11555?\nAnswer: -4622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 11. Suppose 2*a - 24 = -4*s, 2*a - 7*a + 45 = 5*s. Let z be l(a). Solve -4*i = -5*y, 3*y = -z*i + 2*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436.834 * -1\nAnswer: 436.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -437*h**6\/6 - 64*h**3\/3 + 5694. Find the third derivative of b(l) wrt l.\nAnswer: -26220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*y - 202*y = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 866111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47779347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1207777*c**2*y + c**2 - 12*c*y + 117470*y wrt c?\nAnswer: -2415554*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.41 less than -616.72505?\nAnswer: -653.13505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 10. Which is the closest to -1? (a) 1\/5 (b) d (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -11001010?\nAnswer: 11001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 549 - 553. Let q(i) = i**2 + 7*i + 8. Let f be q(-8). Let k be 10\/f*6\/(-10). What is the third smallest value in k, a, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1859518 millilitres?\nAnswer: 0.0001859518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 3582\/16045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/9)\/(t\/(t\/((t*t*t**(-2\/5)*t*t)\/t))*t*t)*t**(2\/11)\/(t\/((t*t**(-7))\/t*t)) assuming t is positive.\nAnswer: t**(-5762\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**3 - 12*p**2 + 18*p - 9. Let b(x) = 4*x**3 + x - 2. What is 5*b(w) - t(w)?\nAnswer: 15*w**3 + 12*w**2 - 13*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x = 42*x + 98 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253377 is divided by 302?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59333 = 5*i + 3*k + 1324, -5*i + 57991 = -3*k. What is i rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 5*f**7\/42 + 361*f**6\/3 + 130321*f**5\/4 - 60*f + 38. Factor s(r).\nAnswer: 5*r**3*(r + 361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from {l: 1, b: 2, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 - (5 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2891203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 9:34 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*v**3*w**2 + 5*v**3 + 2*v**2*w**2 - 5*v**2 - 43*w - 191 wrt w?\nAnswer: 110*v**3*w + 4*v**2*w - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -108\/13, -1, -2\/135, 26, 25 in ascending order.\nAnswer: -108\/13, -1, -2\/135, 25, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-448321.\nAnswer: 1344963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t**2 - 4*t + 4. Suppose -5*l + 2*y - 25 = 0, 4*l + 0*y - y = -17. Calculate the lowest common multiple of n(3) and (-47 - -59) + (36\/l)\/(-2).\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from povovppvopw?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9599 is divided by 544?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Differentiate u + 2 + u + 0*u + k*u wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 10*g**3\/9 - 163502*g**2\/9 - 2258260*g\/9 + 458192\/9 = 0.\nAnswer: -14, 1\/5, 16364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 211737 and 4?\nAnswer: 846948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 774037.9.\nAnswer: -774038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2970)\/75 - (12 - 51).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 2. Let z(f) = 1. Determine -2*s(o) - 10*z(o).\nAnswer: 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-4)*24\/15. Let m be (-18)\/c + (-12)\/(-10). Is m less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00231 to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126133\/3 != 1375379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2582570)\/(-58811) - 4\/(-46).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhhy. What is prob of picking 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-9))\/f**(-4))\/(f**(-2))**(-18) assuming f is positive.\nAnswer: f**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 25. Suppose 2 = 5*a - 3*a + 4*d, 0 = 5*d. Let t be 8 - (0 + 1 - a). What is the greatest common factor of t and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/((-34)\/(-48)) - -4. List the prime factors of (1 + (-10)\/6)\/(a\/21570).\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678766 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 55975, -9, 4 in descending order.\nAnswer: 55975, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:41 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3234*r + 3152*r - 548*r.\nAnswer: 5838*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302\/((-202)\/(-18) + -11)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-72)\/(-20))\/(9\/30). Let s(m) = 0*m**2 + m**2 - 30 + m**2 - i*m. Let h be s(8). Solve 6 = h*f - 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 divided by -10\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-1)\/(((-8)\/3)\/(-4)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a - p - 76 = 0, -3 = -p. Calculate the remainder when (-21 + 0)\/((-136)\/2040) is divided by a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 - 411100?\nAnswer: -411223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 - 2*m**2)*(0 + 2 - 3) + 2*m**2 + 2*m**2 - 5*m**2)*(-2 + 2 - 1) as h*m + p + a*m**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -34*n + 4 + 20*n + 12*n + 10*n. Calculate j(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 14. Let v = 29 + u. Let h = 12.99986 - v. What is h rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20288276 is divided by 396.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2\/3, 3, -0.1.\nAnswer: -2\/3, -0.1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4185 - -4677. Calculate the remainder when j is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260646189?\nAnswer: 3, 23, 3777481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 26 = 12*r + 5*n, -3*n = 4*r - 53. Solve 9*z - 40 = r*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -21*h + 246. What is the lowest common multiple of 333 and y(10)?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 5*u + 4. Let b be c(3). Let y be b + 2 + (1 - -1). Suppose 6*n + 4 = 4*n - y*h, 9 = -3*h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002310134 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/105 and 56\/25.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**3 + 3*k**2 - 61*k + 358. Let x be n(7). What is the highest common divisor of 34 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375698245 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9178*q**2 - 5186*q**2 - 3979*q**2 - 3*q - 10*q.\nAnswer: 13*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2\/21 (b) -93 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44351012 (base 6) in base 13?\nAnswer: -37a390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -9\/515 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 4*b**2 - 26*b + 36. Calculate the least common multiple of l(2) and 116.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21755665 and 98192?\nAnswer: 348090640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -18*u. Which is bigger: u or 3\/47?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 5, f: 2, e: 4, b: 1}. Give prob of sequence yff.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -40*t**2. Let k(y) = 26*y**2. What is k(d(v))?\nAnswer: 41600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 33 = 2*s, -10*g - 5*s + 97 = -7*g. Suppose 5 + 59 = 4*f. Calculate the remainder when g is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 + 343. Let y = b - 197. Solve -4*s = 4*n + y, 4*n - s - s = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and -2.4985961.\nAnswer: 129.9269972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 9806 + 15*l - 9864)*(-5*l**4 + 5*l**4 - 2*l**4).\nAnswer: -18*l**5 + 116*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 14*q + 15. Let t be y(13). Solve 5*u = w - 11, -t*u - 6 = -4*w + 2*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -0.098, 5\/4, -3, 415?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(1\/(-8)). What is the remainder when (-68)\/510 - 1\/(2\/((-1268)\/30)) is divided by ((-9)\/u)\/(3\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = 17*d + 3*t - 6, 4*t - 8 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.52 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 235, -64\/7, 5?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 23*w**3 - 40*w**2 - 33*w + 469. Is d(33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 + 567536*i - 402621389120.\nAnswer: -(i - 1418840)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 58?\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + j - 100 = -3*j, 2*j + 22 = m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + 10.6. Let w = -25 + k. Let r = w + 12.9. Which is the nearest to r? (a) 2\/3 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -81.1. Let p = n - -1.1. Are 2 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 107350*y - 107360*y. Let r(x) = x - 4. Let o be ((-5)\/15)\/(1\/(-18)). Let p be r(o). Solve -y = p*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -279554?\nAnswer: -10623052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 9. Let l(s) = -4*s**2 + 25*s + 22. Let x(a) = 3*a**2 - 17*a - 15. Let d(p) = 5*l(p) + 7*x(p). Let o be d(-4). Is q greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 726?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 p when three letters picked without replacement from vbp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82645027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 at most 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 52.56887 grams?\nAnswer: 52568.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -4 (c) 1.8 (d) 0.2 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*t = 2 + 3, 36 = -4*v - 4*t. Let j be (10 - 2\/1)*v. Let m = 162\/5 + j. Which is smaller: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 115 = -11*g. Suppose 4 = 2*c, 2*w - g = -2*c + 1. Solve -13*u + w*u = 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 24*l**3 - l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -100, -102, -84, -40, 36, 150, 308?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1795\/35 + (-4)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/3 + 2*r\/3 + 272\/3.\nAnswer: -2*(r + 8)*(2*r - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/9 + 22615600*s**2\/3 + 60308288*s + 1085549312\/9.\nAnswer: -4*(s - 16961708)*(s + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, -0.3, 5, 312, 5058, -4, -0.5?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-81)*(4\/(-10))\/((-355)\/(-1065))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/9 - (-1)\/3. Let i(t) = -733*t**2 - a*t + t + 2609*t**2. Let p be i(4). Round p to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -71778*v**3 + 4*v**2 - 670*v + 3400. Let q be g(5). Round q to the nearest one hundred thousand.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.608717kg to grams.\nAnswer: 608.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -25720, 5, 0.7, -2 in decreasing order.\nAnswer: 5, 0.7, 1\/2, -2, -25720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 6*r**2 + 4*r - 1. Suppose 0 = -4*x - 20 - 0. Let u be q(x). Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690 and 4402430.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 263*g + 1328. Calculate the remainder when 2298 is divided by q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1209 by 93.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4017*q + 8424*q - 1094808 = 0 for q.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -483\/2 + 239. Sort -5, z, -1.\nAnswer: -5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1774 + 456. Is (n\/(-20))\/(2\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 8*f**2 - 13*f + 8. Let j be k(6). Find the second derivative of 2*c**2 + 26*c - 12*c - 5*c**j + 23*c**2 wrt c.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {m: 3, d: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-4)\/(0 + 4))\/(1\/442733) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 = -4. Let f(r) = 4*r - 3. What is the least common multiple of f(3) and 12*(t + 1\/(-3))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*d - 51, 2*r - 29 - 7 = -4*d. Let b(n) = -n**2 - 10*n - 9. Let v be -7 + (-1)\/(-1) + -2. Calculate the remainder when r is divided by b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029 is divided by (-39 - -15)\/12 + 259.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.7 + 29. Let g = v + -7. Round g to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**2*t - 141*f*t + 875*f - 1769*t - 38287 wrt f?\nAnswer: -14*f*t - 141*t + 875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-11\/3))**(24\/11))**(-28) assuming o is positive.\nAnswer: o**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3206 divided by 2\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -27*r - 1\/4*r**4 - 54*r**2 + 6*r**3 - 16. Let v(p) be the first derivative of o(p). Factor v(b).\nAnswer: -3*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 406314*d**2*u**2*w - 67*d**2*w + 549*u**2*w - 503591*u*w - 3*u wrt u?\nAnswer: 812628*d**2*w + 1098*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106.3 - 115. Let v = m + 9.7. Which is the closest to -1? (a) 16 (b) -2\/21 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - g**5 + g**5 + 2*g**5 + 3*g**5 - 6*g**5 + 0*g**5 + 3*g**5 - 2*g**5 + (g - 5*g + 2*g)*(0*g**2 + 0*g**2 - g**4) + 3*g**5 - 5*g**5 + g**5.\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -3 + (sqrt(175) - (sqrt(175) + -2)))*6.\nAnswer: -6 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {w: 2, j: 2, x: 4, z: 4, d: 1, b: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 7) to base 15\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 6*i + 1. Let q be u(-6). Let f be (-3)\/(3*3\/(-180)*1). Suppose -57*b + f*b = 27. What is the highest common factor of q and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 79*k - 1475. What is g(16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343527956 to the nearest integer?\nAnswer: 18535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 3:27 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n = -n - 153 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(13 + -7 + -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 1, a: 3}. Give prob of picking 3 z and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 - 2377*h**4\/4 + 341287*h**3\/4 + 885162*h**2 + 615627*h = 0. What is h?\nAnswer: -9, -3\/4, 0, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*g - 5*p, g + 26 = -4*g + 3*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 24*n - 20. Let g be y(13). Suppose -3*i + 0*h + h = -g, -18 = -4*i - 2*h. Solve -v = -i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 195.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g. Let m(t) = -9*t**2 - 5*t - 10. Let w(l) = -l**2 - l - 2. Let r(c) = 4*m(c) - 20*w(c). Determine r(k(b)).\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*r + u, 5*r + u - 23 = 4*u. Suppose -b + 5*b + r = 0. Let w(o) = -o**3 - 4*o**2 + o + 5. Let y be w(-4). Which is greater: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 31, 56, 83, 112, 143?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-4)*(7\/((-378)\/(-54)))\/10\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x + 0*x - 6*x - 2)*(-8 + 15*x**2 + 8).\nAnswer: 75*x**3 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63633*v**4\/4 - 31821*v**3\/2 + 15906*v**2 + 31821*v\/2 + 9\/4 = 0.\nAnswer: -1, -3\/21211, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 8 - (-45 + -15 + (21 - 9))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -42281.3 to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 237*a + 79*a - 2*a**2 + 37 + 41*a to the form b*a**2 + f*a + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/(-10) - (-3 - -1). Let y = 267 - 282.5. Let n = 10.5 + y. What is the second smallest value in -4, q, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40438240 and 80.\nAnswer: 40438240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 + (3 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/((-54)\/(-6))*3\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 967 + 706 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36243\/32 or -1134?\nAnswer: -36243\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 484452*g + 48970456.\nAnswer: -4*(g - 101)*(g + 121214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 9 + 2)*(-6*m + m + 2*m) + 0 + 0 - 2*m)*(45 - 65*m - 45).\nAnswer: 1885*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5*6*35\/(-42). Suppose -r*j + 5*u + 974 = 0, -7 + 13 = 3*u. Is 93 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 1\/3*z**3 + 0*z - z**2 + 1\/24*z**4 + 0. What is the units digit of u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/4 + (-5 - 3)\/(-4). Let r(l) = 10*l**3 - 3*l**2 + 4*l + 25. Let w(y) = -7*y**3 + 2*y**2 - 3*y - 17. Let u(b) = -5*r(b) - 7*w(b). Calculate u(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 2 v when four letters picked without replacement from vvrvvzzzqazzvx?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbxg when four letters picked without replacement from gbxbbbgxxbbbbbgx.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4350 + 2?\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -0.2 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:38 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(2448)*1 - sqrt(2448) - sqrt(2448))**2.\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**3 - v**2 + 10*v**2 - 9*v**2.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -980320268*y**4 - 377691444.\nAnswer: -3921281072*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(20\/8) - (-102 - -1). What is the highest common divisor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 19. Let y(m) = -m**3 + 8*m**2 - 8*m + 3. Let o be y(u). Let c = 2 - o. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.199. Let r = 915 + -915. Let s = r - b. What is s rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -215, 1.\nAnswer: -215, -123, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 234.733 and -49?\nAnswer: -11501.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 - 1371 + 6667 = -217*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 12) to base 14\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by (-5)\/(-5) + 955*(-7)\/(-35)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009391 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:26 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 2688.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 + 35*z - 40. Let t be o(-6). Let v = 2 - -1. Solve t*u = v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -5. Suppose -3*u = -7*b + 6*b - 35, 2*b - 4*u + 70 = 0. Let l = b + r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -199241*x. Let u(j) = 2*j**2. Determine u(b(i)).\nAnswer: 79393952162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37694, 196, -4 in increasing order.\nAnswer: -37694, -4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 32. Let q be v(0). Suppose 0 = 54*l - 51*l - 12. Calculate the highest common factor of q and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 244\/(-6)*12\/(-8). Calculate the remainder when (3 + q - 2) + 3 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = -23*b - 140. What is the highest common divisor of 280 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.14574 centuries to months.\nAnswer: 45774.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y - 1. Let n be m(1). Let g = 4 - n. Let k be g - 5\/1*-13. Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/(-45) - (-305)\/6 and -5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = -3, 4*s = -j - 7. Suppose -21 = -q - 4*p, -5*q = 2*p + j - 16. Let t(g) = 8*g + 1. What is t(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2*q - 6. Suppose -3*v = -2*h + 6 - 0, 5*v + 3*h = -29. Let w be d(v). Let y be (-16)\/(-42) - 4\/w. Is y greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3044 (base 5) to base 11\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**7\/42 + 7*g**6\/24 - 17*g**5\/12 + 85*g**4\/24 - 5*g**3 + 2*g**2 + 8. Factor i(m).\nAnswer: -5*(m - 3)*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + -4 + (sqrt(220)*-2)\/sqrt(5) + (2*sqrt(396) - sqrt(396))\/sqrt(9).\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20241 and 5382.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174 + 57 - -142) + 82.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2063 + 0.147.\nAnswer: -2062.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/5 + 0 - -3. What is the second derivative of -25*n**2 - 14*n**4 + 8*n**v + n + 4*n**4 + 12 wrt n?\nAnswer: -24*n**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -59, -3, 4, -4, -13 in decreasing order.\nAnswer: 4, 0, -3, -4, -13, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(252)*-1 + -3)**2 + -2*sqrt(112)*2*-4.\nAnswer: -1566 - 152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 20*s**2 + 31*s + 99. Calculate d(11).\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1934, 3348, 4762, 6176?\n\"Answer: 1414*g + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1405731.00001 + -1405744. Let p = 13 + z. What is p rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 11624415. Let d(a) = -a. Determine d(u(n)).\nAnswer: n + 11624415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 4*w)*(30*w + 16*w + 0*w).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvvi when four letters picked without replacement from vyvinvizv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4685922, 18743711, 42173360, 74974869, 117148238, 168693467, 229610556?\n\"Answer: 4685930*y**2 - y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -3. Let u = 7 - p. Let s(q) = -2*q**2 - 4*q - 3. Give s(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -6) + (-2 - 0). Is -3\/8 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1794?\nAnswer: -2\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -361677 - 808823. Round m to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489242 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15975 and 563512800.\nAnswer: 5325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1977.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -a?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195419381 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 1 - f - 3*f)*(-463487*f**2 + 234082*f**2 + 233389*f**2) to the form b*f**2 + k + g*f**3 + o*f and give b.\nAnswer: -3984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, o: 5, q: 1, n: 1, a: 1, d: 1}. Give prob of sequence oppo.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*(i\/(i\/((i*i**(-2\/25))\/i)))\/i)**39 assuming i is positive.\nAnswer: i**(-7878\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*n + 114 = -536*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*f - 18 = -93*f. Calculate the greatest common factor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 3:08 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 9*16\/(-24). Let w be (-1 + (-10)\/15)*6\/(-2). Sort -4, a, w, 1.\nAnswer: a, -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 315?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -b43 (base 16) to base 4\nAnswer: -231003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -406, -422, -438, -454, -470?\n\"Answer: -16*a - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oigg. What is prob of sequence gi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 850325 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 5*v**2 - 3*v - 4. Let w be n(3). Suppose w*f - 12 = 28. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - 91\/7 - -15*1. Suppose 3*d - x = l, 9*d = 11*d - 10. Put 0, -4, l, 3 in ascending order.\nAnswer: -4, 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 1 + (-5303 - -5325)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300) + -5 + (sqrt(300)*2 - sqrt(300)) + sqrt(300) - sqrt(300))) + (sqrt(300) - (sqrt(300) + -1 + 4))**2.\nAnswer: -10*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2 - (6 - 5))) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62590 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/20*(-10)\/4. Let m be (-240)\/(-75) - a\/(-5). What are the prime factors of 83 + m\/1*-1?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - 55) + (1 - -2 - 0) + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + d**2 + 6. Let p(v) = -2*v**3 + 67*v**2 - 129*v + 70. Let f(m) = 5*i(m) - 5*p(m). Let f(t) = 0. Calculate t.\nAnswer: 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -872.74917 rounded to the nearest 10?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17783 = -36*h + 1445*h - 875 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(68))**2 - sqrt(68)) + -5 + 6*sqrt(34)\/(-3*sqrt(200)).\nAnswer: -11*sqrt(17)\/5 + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1452 - 4?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22439811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341034 and 3182984.\nAnswer: 9548952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3.28\nAnswer: 13.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 809 = -2217. Suppose r = -f - 7*f. Put -5, f, 2 in decreasing order.\nAnswer: 2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -73. Let g = b - 102. Is -2\/5 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -13, -19, -27, -37, -49?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -67. Let n(j) = r*j - 7*j - 8 - 11. Suppose -3*i = -6*i. Determine n(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*b - 760*b + 1463*b + 102*b**3.\nAnswer: 102*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 255496*z**2 - 4074773156*z - 163399975840.\nAnswer: -4*(z - 31957)**2*(z + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14014 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4 - 3 + 4*m - 3. Let c(x) = x + 7. Let r be c(-5). Determine u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/8 - 9*a**3\/8 + 33*a**2\/4 - 7*a.\nAnswer: -a*(a - 4)*(a - 1)*(a + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-91)\/(-14)*40\/130).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 9*t**4\/4 - 6*t**2 - 3. What is the second derivative of k(r) wrt r?\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 + 4\/14. Calculate the lowest common multiple of 10 and 8 - (n - (-2)\/(-2)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900447 is divided by 331?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39355927300 and 0.1?\nAnswer: 39355927300.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 4 + -5 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.19159us in minutes?\nAnswer: 0.0000036365265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {h: 5, y: 2, l: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12 = -13. Let m be -1 + -2 + o\/(-2). Let i = -1.2 - 0.8. Which is the nearest to 4? (a) i (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 47 = 30 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - 134. Let m = 22 + j. What is the closest to m in -3, -28, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:21 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 541, 2130, 4771, 8458, 13185, 18946, 25735?\n\"Answer: -a**3 + 532*a**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 89 = 4*y, -y = 37779*u - 37771*u + 56 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4859 - 3600. Does d = 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -47. Let k = -51 - -354\/7. What is the third smallest value in -1, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5 + 5. Solve -6*v - m*v + 3*v**3 - 4*v**4 + v + v**5 + 4*v**2 + 3*v = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(1\/(-3))\/(-1)*-1)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 + 3*s + 8. Is j(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.38, 2, 20\/1593, 0.1 in ascending order.\nAnswer: -5.38, 20\/1593, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**4 - 70*z**2 + 7*z + 96.\nAnswer: -60*z**2 - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 2\/253 (b) 4 (c) -1 (d) 2.7 (e) -0.013\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -610 - -867. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4284 + 0.4716. What is the nearest to 1\/2 in 2\/23, -2\/5, k, -17?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/5, 1328, -8 in descending order.\nAnswer: 1328, 2\/5, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.716 rounded to two decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 616 - 139. Let k = j - 457. Calculate the highest common factor of 55 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + -2 + -10 + 5 + 12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7 and 103\/242.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxtqztrrtq. Give prob of sequence rz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 627 and 6303?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4366954 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18)*114\/8. Let o be (-2676)\/288 + 84\/(-35)*(-5)\/2. Let f = o + m. What is the second biggest value in 0.2, -0.1, -2\/11, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Let n(b) be the second derivative of -6*b**5 + b**4\/12 + b**3\/2 + b**2 - 543*b. Let r be n(k). Calculate the highest common factor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 16. Suppose n*g - 10 = 3*c, 0 = 2*g + 4*c - c + 4. Solve -k + 4*k - 3 = -2*j, j - k + g = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from xxmpm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 29368.\nAnswer: 1850184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1086 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -453 - 99. Suppose 0 = l - 113 - o. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311149193 divided by -4382383?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + b)*(-b**3 + b**3 - 7*b**4) - 4898*b + 4898*b + 57*b**5 + (2*b - 3*b + 0*b)*(0*b**4 + b**4 + b**4).\nAnswer: 48*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1117, -1122, -1129, -1138, -1149, -1162?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -313 - -316. Let k(d) be the first derivative of -3\/5*d**5 + 3\/2*d**2 - 3\/4*d**4 + 3*d**p - 6*d + 3. Solve k(y) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/2)\/((-4)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o. Let s(a) = -2*a - 5. Let q be s(-5). Is g(q) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 14*l. Suppose l = -f + y + 510002, f + 2549998 = 6*f + y. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533*z + 1539*z + 35 + 68 = 3071*z for z.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -18 + 20)\/3 + (-4)\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 232*j**2 - 1082*j - 385. Determine f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 + 462*v**2 + 116*v + 7. What is z(58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6567220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = 150. Suppose -y + 5*y + 8 = 3*s, -2*y - f = 5*s. Let l(k) = -31*k + 3. Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52338? (a) -2\/9 (b) 1\/6 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -7. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 777284 and 0.064.\nAnswer: 49746.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)\/r**(-9) assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.076568 * -9242.\nAnswer: 707.641456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l + l - 35*l**2 - 15*l.\nAnswer: -35*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:15 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 16*q**2 + 9*q + 70. What is t(-15)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 83.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2 + (-386)\/7)\/((-63)\/294) and 6?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 19 = 7. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 4*r - 552, 3*c - 424 = 2*r. What is the greatest common factor of 35 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-1\/4))\/((k\/(k*k**(2\/3))*k)\/k)*((k\/k**1)\/k)**(1\/35) assuming k is positive.\nAnswer: k**(1213\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -582011*k - 55. Let z(m) = 2*m**3 + 2*m**2 - 8*m - 13. Let q be z(-2). Let g be i(q). What is g rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a17 (base 11) to base 16.\nAnswer: 3dfd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.56 + 0.44. What is the nearest to -1 in u, 6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*z**2 + 3 + (-14 + 14 + z**2)*(0 + 0 + 3))*(-2*z**2 + 3*z**2 + 0*z**2) to p*z**3 + l + i*z**4 + b*z + m*z**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -2*c - 84. Let h = c + -548\/5. Is -1 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8174775?\nAnswer: 3, 5, 7, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - 2)*(-10)\/6. Let c be (3\/5)\/((-3)\/n). What is the tens digit of (-2)\/(c\/45*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 197 - 109 = 4*z, 0 = 5*z + 5*v - 160. Calculate the highest common factor of z and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21897.1 * -38\nAnswer: -832089.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 9*p**2 + 10*p + 2. Let u be g(10). What is the common denominator of -85\/12 and -19*u\/5 + (-6)\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40014403 + 2?\nAnswer: 40014410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 1623288619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2031 + 23304343?\nAnswer: 23311424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + f + f + 24 = 0, 3*o - 32 = 5*f. Suppose -4*i = -2*t - 2*t - 1956, 0 = -o*i + 3*t + 1953. Suppose -6*j = -0*j - i. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggkbrkra?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4*q + 2. Let b(v) be the second derivative of 1\/2*v**3 - 2*v + 1\/2*v**2 - 1\/12*v**4 + 0. Let n be b(4). Calculate u(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 26*o - 21 = 25*o, 13 = c - 2*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 8*h**2 - 19*h + 12. What is the units digit of v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 48?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 7:06 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*c**2 - 37*c + 33*c + 671*c**2 + 4*c - 2.\nAnswer: -33*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.040866*-1\nAnswer: 0.040866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -61\/2 and -0.108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1447*t**3 + 3*t**2 + 2*t - 2. What are the prime factors of x(-1)?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Let z = 0.3 - 0.5. Let o be (8\/(-42))\/(48\/(-56) + 0). Sort i, z, o in descending order.\nAnswer: i, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1493774 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*l + 134*l - 61*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 61. Suppose 3*m = -4*f - 3, 3*m + y = -3*f - m. Suppose -k = 5*t + 4*k - 11525, 5*t - k - 11549 = f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893640769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1994 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (90 - 187 - -127).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1432\/8055)\/(1\/10)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 104 = -63. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 20. What is k(-39)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*((sqrt(24)*-2 + sqrt(24))*-6 - (sqrt(96) - sqrt(96)*1 - sqrt(96))))\/(sqrt(108)*2 + (sqrt(240)\/sqrt(5) - sqrt(48))\/sqrt(4)).\nAnswer: -80*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 6. Let v(w) = 1. Let k(l) = q(l) + 5*v(l). Let t(m) = 6*m - 2 - 7*m + 1. Calculate k(g) - t(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332004421 (base 5) to base 11.\nAnswer: -8a2524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(3 + -7). Suppose -p + 3 = 5*o + 13, -3*o - 5*p = 6. What is the closest to o in 0.1, -2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 2*m**2. Let o be p(-3). Suppose -1 = 2*y - o. Suppose y*j - 6*j = i - 4, -5*i = -2*j - 32. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*w + w - 2*w)*(-1 + 2 - 2) + 1073*w - 4482*w - 1036*w)*(-4*w + 5*w + w) as j*w**2 + i + u*w and give j.\nAnswer: -8892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*m - 173*m + 339*m - 14503 - 4*m**3.\nAnswer: -4*m**3 - 2*m - 14503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*q = 53, 0 = -2*k + 4*q - 5*q + 37. Calculate the greatest common divisor of 63 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 181791796 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/78*(-3)\/(-6)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Suppose 0*h - 4*h = 12. Let q(c) = c**2 + 2*c - 3. Let l be q(h). Let f(x) = -x + x + x + l. Give t(f(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + 27. Let z be (4\/(-6))\/(3\/d). Let m(a) = a + 19. Is 3 a factor of m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 + (-455)\/(-49) + 6 + -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/20*(-23700)\/(-739440)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17456 + 32415. What are the prime factors of j?\nAnswer: 7, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -21. What is the second smallest value in z, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, p: 3, a: 4, t: 4}. What is prob of sequence fat?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 4*f)*(0 + 1 + 1) + (-1 - 1 + 1)*(0 + f + 0).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -6*m + 158. What is the remainder when m is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -6. Let y be 51\/9 - (-4)\/f. Suppose -d - u = -3*u + 1, -y*d + u = 5. Is d at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -22*k - 39. Let p be x(-2). What is the closest to -0.1 in -2\/621, 2, p?\nAnswer: -2\/621","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcfucfiffwwkwif. What is prob of picking 1 c and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107.2 and 0.3?\nAnswer: 32.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91718847 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 257163.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4485 divided by -39\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 737?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (-3 - -2) + 3. Let x(c) = c - 1. Let h(g) = 9*g**2 + 7*g - 3. Let w(j) = b*x(j) + h(j). Is w(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 37. Let g be y(-16). Find the second derivative of -2*b**2 + 15*b**4 + 2*b**2 + 20*b - g*b wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. What is the nearest to 0 in 2\/7, g, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -33*s**3 - 7*s**2 - 9*s - 9. Let m(c) = 17*c**3 + 3*c**2 + 4*c + 4. Calculate 9*m(r) + 4*n(r).\nAnswer: 21*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37206476 divided by -9301619.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7750, -3\/7, -5, 1659?\nAnswer: 1659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -33)\/((-75)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 60, -8, -3, 5, 2 in descending order.\nAnswer: 60, 12, 5, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -70*d + 6. Let g(p) = 46*p - 4. Determine -8*g(r) - 5*j(r).\nAnswer: -18*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 8*k + 90. Calculate c(-16).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let i(f) = -f**3 + 7*f**2 + 7*f + 10. Let t be i(8). Let h(u) = -6*u**2 - o*u + 2*u**2 - 1 + 0*u**t. Calculate h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270168, -270116, -270030, -269910, -269756, -269568, -269346?\nAnswer: -269090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((555\/600)\/37)\/(512\/320)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 109+-4665701219049\nAnswer: -4665701218940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20792, -41510, -62228, -82946, -103664?\n\"Answer: -20718*j - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11*f + 7 = -10*f, 4*o + 4 = -4*f. Let k(x) = 2*x**3 - 2*x**2 - 2*x + 2. Determine k(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 3. Let t(r) = 73*r - 295. Let w be t(4). Let l(c) = -c + 2. Determine w*s(d) - 5*l(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from {j: 6, w: 3, c: 1, o: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6915 from -2.\nAnswer: 6913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 8, 0, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-3)\/(-24) - 0). Suppose 0 = 5*j - 10*j. Suppose j = -3*u + 4*u. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*c**2*l**3 - 6*c**2*l**2 - c**2*l + 2*c*l**3 + l + 1253 wrt c.\nAnswer: -164*l**3 - 12*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, 1, 3, 1\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2412785, 0.46, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*n = -148*n - 55*n + 524 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -6*p + 3*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156888 (base 13) to base 6.\nAnswer: 15155520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/(-2))\/(5\/5). Solve i + 0*i = -4*f - h, 5*i = 5*f + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8899, 17913, 26927, 35941, 44955?\n\"Answer: 9014*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*f - 44980, x - 2*f + 137 = 11382. Calculate the greatest common factor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1455*z + 5063*z + 1087*z + 42974 + 327931 = 0 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -469.17 to zero dps.\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 1, o: 7}. What is prob of picking 4 o?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -197\nAnswer: 5\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -24. Suppose -2*y + m*p + 10 = 5*p, 0 = 2*y - p + 2. Suppose y = 3*r + 191 - 518. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 - (-8 + 55 + -74 + 16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*o + 84*o - 17928. Let r = o + 1735. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 7*m**2 + 4*m - 7. Suppose -3*a = -2*c - 32, 4*a = 2*c + 28 + 12. Is p(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.48994993 - 6.49. Round p to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 228883?\nAnswer: -228881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 times 0.6?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d - 5. Let x(s) = 6 + 1 - 8 + 4*s + 4. Let k(f) = -3*h(f) - 7*x(f). Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**4\/14 + 4*g**3\/21 - 15*g**2\/7 - 72*g\/7 + 36. Factor x(m).\nAnswer: 2*(m - 4)*(m + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/57 - 1980\/(-38).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**5\/60 + 5*l**4\/24 + 4*l**3\/3 + l**2\/2 - 4. Let m(h) be the second derivative of t(h). Let x = -16 - -22. Calculate m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p**2 + 7*p + 5. Let w be x(0). Suppose 4*s - s = -5*m, 4*s = w*m. Solve s = -24*v + 28*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 1506390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 561017543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/19 - 1675624*t**2\/19 + 3351242*t\/19 - 1675620\/19 = 0.\nAnswer: 1, 837810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48466023*d**5 - 60678087*d**2.\nAnswer: 2907961380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*t, 0 = -18*t + 22*t. Solve 8*h + 30 - 14 = u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 10*v**2 - 8*v + 10. Let p be d(-9). Which is the nearest to p? (a) -0.3 (b) 0.4 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12))\/(2\/((-80)\/105))*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/20 - 2*m**4\/3 - 3*m**3\/2 + m**2 + 2*m. Let c be t(9). Factor -2*a**4 + 13*a**2 + 6*a**3 + 12*a + 2 + 0 + c + 3*a**4.\nAnswer: (a + 1)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3 - 62*k**2 + k + 1246 wrt k.\nAnswer: -3*k**2 - 124*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113076 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -19*p**2 + 675*p - 98. Is 8 a factor of x(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**4 - 703*r**3 + 2*r - 1427 wrt r?\nAnswer: -36*r**2 - 4218*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-32) - (-2 - 22\/(-16)). Let n = -216 - -2373\/11. Is c equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5859? (a) -3 (b) 76 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3\/7 - 1080*f**2 + 401232*f\/7 - 5251168\/7 = 0.\nAnswer: -1942, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54835 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f*f**(-2)*f**(2\/25)\/(((f*f**3)\/f)\/f))\/(f**(2\/7)*f*f**(-3\/5))**(21\/5) assuming f is positive.\nAnswer: f**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7378.999992016 - 7379. What is k rounded to seven decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 170, 330, 552?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - 1\/(8\/40) - 286\/(-13). What is the highest common factor of q and 7588?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.39, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 + 14*h**2 - 14*h**2)*(-483253*h + 1 + 482877*h - 1).\nAnswer: 1128*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n*s**3 + 185*n + s**3 + 2*s wrt s?\nAnswer: -15*n*s**2 + 3*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Suppose x = 2*w - 2, -4 - 2 = -2*w. Solve -2*d - 3*q = -9, i = x*d + 3*q + 1 - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -3*i - 1, -12 = 3*h. Let b(r) = r**3 + 15*r**2 - 19*r - 20. Let m be b(-16). Solve 5*z - 5*a = -3*a - m, 0 = -i*z + 2*a - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - n - 343, -5*t + 137*n = 132*n + 355. Put t, 5, -5, 4 in decreasing order.\nAnswer: 5, 4, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*n = -11 + 29, 5*n + 19 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 420 = 10*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 275*y - 274. Let c be f(-1). Factor -116\/5*q**c - 2\/5*q**5 - 34*q - 10 - 212\/5*q**2 - 26\/5*q**4.\nAnswer: -2*(q + 1)**3*(q + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y**2 - 11*y**2 + 41*y**2.\nAnswer: 85*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2270 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(84) + (sqrt(84)*2 - sqrt(84)) - sqrt(84)) + sqrt(84))*5)\/(sqrt(108)*-2*-4).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 10*k + 3. What is l(-10)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31300 by -6260.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65956*a**5*q + 1718*a**3*q**2 + 80*a**2 - 18*q**2 - 1714*q wrt a.\nAnswer: -3957360*a**2*q + 10308*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 124 + 192. Let u = b + 101. Suppose -3*q = 7 - u. Put q, -3, -3\/5 in ascending order.\nAnswer: -3, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5721 - 4255 = -429*r - 2254 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Suppose n*t + 5 = 35. Solve -3*u + 15 = 5*b + 2, -4*b = -2*u - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443667 divided by -111\nAnswer: 3997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 = -41, -3*n = -3*q - 69. What is the remainder when 29 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*i - 0*i - 119, 2*k + 4*i - 90 = 0. Calculate the remainder when k is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252 - -252. Suppose -u - 3*d + 55 = v, 5*u + 5*d - 151 = 104. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2 - 17*p + 0 + 6*p. Let d be m(-2). Suppose -4*h + 17 = -3*h - 4*k, 3*h = 3*k + d. Solve -2*o - 4*c = -12, h*c = -5*o - 1 + 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 964 - 8579 - 6919 = 169*m. Which is greater: m or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/10)\/((-2)\/15). Let b(w) be the first derivative of -8\/3*w**3 + 7*w - 7\/2*w**2 + 8. Let a(d) = 7*d**2 + 6*d - 6. Calculate p*b(q) + 7*a(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.59 in 0.4, -4, 0.1, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*r + 128*r + 291*r.\nAnswer: 537*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -17*a + 52. Suppose -10 = 4*c + a, 4*c - 148 = -4*k. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -342 - -341.99. Which is the third smallest value? (a) -1 (b) 3\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -6\/5, 2\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 103*z - 1405. Determine v(19).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, 57, 153, 249?\n\"Answer: 96*x - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 18*x**2 + 3*x - 235. Let w be z(-17). Factor 0*d - 16\/7*d**4 + 44\/7*d**w + 0 - 10\/7*d**2.\nAnswer: -2*d**2*(2*d - 5)*(4*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010011 (base 2) to base 12\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*c = 3*p + 88, 0 = -2*p + 4*c - 44. Let x = p + 80. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 25*v - 29*v + 4, 0 = 4*s + 3*v - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25046671879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2 + 54252*w + 2053*w**2 - 54252*w in the form t + v*w**2 + s*w and give v.\nAnswer: 2053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1154 or 140635\/122?\nAnswer: 1154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0)\/c)**(2\/95)*(c\/c**(-1)*c*c)**(2\/29)*(c*c\/(c**(-1)\/c)*c*c)**(2\/5)*c**(-1\/4)*c**(1\/2) assuming c is positive.\nAnswer: c**(1697\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 177212020 times 3\nAnswer: 531636060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 + 19*m + 25. Let c be f(11). Put c, 1\/4, 4, -5 in decreasing order.\nAnswer: 4, 1\/4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -4ec177?\nAnswer: -4ec177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -2*v + 30*h - 6*h + 347, 4*v - 2*v - 6*h = -h + 65 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 151320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95836 and 9.\nAnswer: 862524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 3)*(-412*d + 110853 - 110853) + 3*d - 3*d - 2*d)*(-2 + 4 + 4) in the form y*d + v and give y.\nAnswer: 4932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -3 - (7 + -7) - 0. Let v = 70 + u. List the prime factors of v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76*k**2*w - k**2 + 762*k*w - 203*k + 84 wrt w?\nAnswer: 76*k**2 + 762*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 439327 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1287 or -1285?\nAnswer: -1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8398 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 33 = -4*l, -5*l + l - 2*y + 38 = 0. What is the common denominator of (265\/(-6))\/(-5) - 2 and 2\/(-4)*384\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 102158 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:48 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**3 - 1. Let q(m) be the first derivative of -m**2\/2 + 371. What is q(c(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1030680, 2061361, 3092042, 4122723, 5153404, 6184085?\n\"Answer: 1030681*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6476.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 12, h: 1}. What is prob of sequence sssx?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/(-117))\/((-1)\/(3\/(-2))). Which is the nearest to v? (a) 2\/11 (b) -1 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 20042?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 23*b + 37. Let v(o) = 69*o**2 + 4*o + 2. Calculate the least common multiple of v(-2) and h(4).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/14)\/((-1)\/(-35)). Let d = 10855\/3 - 54269\/15. What is the third smallest value in -5, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1377)*5 - sqrt(1377))**2.\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*p + 34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -136\/9, 1, 1\/54, -0.5, 2\/25?\nAnswer: -136\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = f - 4*l - 56, -f + 5*l + 70 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*m - 43*m - 31*m)*(-m - m + m)*(-81*m**2 + 55*m**2 + 48*m**2).\nAnswer: 792*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31341 and 744?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, z: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/140*14*(-8)\/32\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 - 23*k + 3. Let y be n(-8). Suppose 55*i - 24 = y*i. Let w(d) = -4*d**2 - 7 - d**3 - 8*d - 7*d**2 + 4*d**2. What is w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.5 + -8.8. Let r = -1.6 - g. Which is the second smallest value? (a) 0.07 (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Let s(t) = -t**3 + 4*t**2 + 12*t - 2. Let r be s(6). Let d be r - (-5 + (-4)\/(-4)). Solve -h*n - d*n = -8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 23*p**7\/840 + p**5\/120 - p**4\/24 + p**3 - 6*p. Let u(d) be the second derivative of w(d). What is the tens digit of u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 21. Let m be (g\/(-7))\/((-3)\/6). Suppose -2*i + 9 = i. What is the smallest value in m, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -479.7582 + 480.3. What is o rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-12)*-3*-6. Suppose 5*f = -t + q, -4*f = -7*f - 3*t - 3. What is the nearest to -3\/2 in f, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -4, -8, -14, -22, -32, -44?\n\"Answer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 5*t**3 - 2*t**3)*(2 - 2 - 2*t**2) - 2*t**5 - t**5 + 2*t**5 + (-2*t + 4*t + 3*t)*(2*t**4 - t**2 + t**2) - 7*t**5 + 7*t**5 + 9*t**5.\nAnswer: 14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3074 + -3065. What is the biggest value in c, -14, 5, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 53, -9, -792, -4, -2, -3 in descending order.\nAnswer: 53, 4, -2, -3, -4, -9, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.697919 + -127474?\nAnswer: -127582.697919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*w - 49762 + 48962 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/465)\/(-3 + 17\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.2757 - -41.03. Let l = -34.25 - -34. Let w = h - l. Round w to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*2 + (2 + (1*sqrt(3))**2 - sqrt(3)).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 3*k**2 + 2*k + 4. Let b be r(-2). Solve -4*d - b = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 40\/6*12\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**4\/19 - 510*x**3\/19 + 1258*x**2\/19 - 1002*x\/19 + 250\/19 = 0.\nAnswer: 1\/2, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171) - (sqrt(171) + -3 + sqrt(171)))**2.\nAnswer: -540 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 648899407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {j: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + 72\/(-135). What is the third biggest value in 1, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-2 + 11 + (-4 - 6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t - 12 = 0. Let n = 11655 - 11656. Which is the closest to 1? (a) n (b) t (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(99) + 0)**2 + ((sqrt(99)*3)**2 + sqrt(99))*-2 + sqrt(99) - (1*sqrt(99)*-4 + (sqrt(99) - (5 + -1*sqrt(99) - sqrt(99))**2))) + 3.\nAnswer: -762 - 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:46 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + (-222)\/(-42). Let r be (-15)\/(-4) + (-942)\/1256. Solve -x - 3*x - r*a = 19, x + 9 = -o*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036*k + 1183 = -1205*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, 0.02, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9))\/((-6)\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 - n**4\/8 + 3*n**2. Let r(t) = t**3 + 6*t**2 + 6*t + 7. Let w be r(-5). List the prime factors of p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 17*a**2 + a - 19. Let p be s(17). Let w(r) = -r**3 + r**2 - r + 1. Let y(k) = 11*k**3 + 9*k**2 - 9*k + 9. Give p*y(l) + 18*w(l).\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*y + y. Let j(o) = 2*o**2 + 3*o - 3. Let w be j(y). Calculate the highest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 5 + -7 - -1. Which is the closest to 2\/7? (a) u (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3021 - 2975.985. Let y = o - 0.015. Which is the biggest value? (a) 1 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 112, 218, 334, 466, 620, 802?\n\"Answer: d**3 - d**2 + 102*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17722016 to the nearest integer?\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2) + sqrt(162) + 4 - sqrt(2))*6)**2.\nAnswer: 2592*sqrt(2) + 6403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + 5 - 1*(1*sqrt(5))**2) + 0 + ((sqrt(360)\/sqrt(9))\/sqrt(8) + sqrt(5))*-5.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(56)\/sqrt(7) + sqrt(8))\/sqrt(4) + (sqrt(64)\/sqrt(8) - (4 + sqrt(6)\/sqrt(3)))*5.\nAnswer: -23 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:03 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20644 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 11*o = x + 2, 2*o - 3*x + 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 616 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -351\/46 + -4933\/92. Let z = 62 + a. Solve z - 1\/2*x - 1\/4*x**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, -7, -5, -0.1, 2\/23, -3\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 27*u + 1051841 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - sqrt(133)*1)\/sqrt(7) + 4*sqrt(76) + -3.\nAnswer: -3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7144764 a multiple of 452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*z - z + 5*z) + 0*z + 4*z + 3*z - z + 0 + 0 + 0*z + 5*z - 4*z + (0*z + 4*z - 3*z)*(1 - 1 + 2) + z + 2 - 2.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -1478630 in increasing order.\nAnswer: -1478630, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42, 34, 22, 6, -14?\n\"Answer: -2*y**2 - 2*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1599\/(-82)*(-5)\/(120\/16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6586282875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4\/2 + 285*g**3\/2 - 145*g**2.\nAnswer: 5*g**2*(g - 1)*(g + 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83538*o + 47295*o + 50860*o.\nAnswer: 14617*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i. Let a be w(1). Let k = -9 - a. Solve -r = -k*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = j + 25. Solve 6*b - 10 = t + b, 8 = j*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 - 4*z - 1. Let u be g(4). What is the lowest common multiple of 9 and (-9)\/u + (-212)\/(-20)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 116551721?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (6 + (5 - 5) - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 - x**3 - x**3 + x + 2*x**3. Let p be j(1). Suppose d + 0 = p. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 86) + (0 - -1) + (-52 - -57)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -124?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6975 + 6971. Let j(g) = g**3 + 6*g**2 + 5*g - 15. Determine j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 31*q**2 - 16*q + 21. Let r be f(15). Suppose o - 12 = -4*k, -k - 2*o + r = 3. Factor 0*l**k + 1\/4 + 1\/4*l**4 + 0*l - 1\/2*l**2.\nAnswer: (l - 1)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*-2*-4)\/((sqrt(66) + sqrt(66)*2)\/sqrt(6)*1).\nAnswer: 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1710 (base 10) to base 7.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -501, -4269, -14583, -34743, -68049, -117801?\n\"Answer: -550*y**3 + 27*y**2 + y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*o**2 + 260*o**2 - 469*o**2 - o + 2 + 8*o**3 in the form i*o + j + q*o**2 + n*o**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.024655 times -5\nAnswer: -0.123275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:16 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 - -1100001?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**4 - 1644*v**3 - 10472 wrt v.\nAnswer: -8*v**3 - 4932*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 17 = -5*u. What is the highest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 119, 17, -113, -271, -457?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -406935 rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*q - 34 = -3*w, -2*q = -5*w + 19. Suppose w*u = u + 72. Calculate the remainder when 35 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7458137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (18 + -4101)*2\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012963123 to five decimal places.\nAnswer: -0.01296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4004 - -4081) + 1 + -140?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/15*(0 + 12 - 7). Solve 3*o + 6 = -3*l, 5*o + 7*l = 10*l - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:21 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/399 + 2*i**6\/285 + 4*i**5\/95 + i**4\/57 - 7*i**3\/57 - 4*i**2\/19 + 2*i - 63. Let x(u) = 0. Calculate u.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 2*d + 12, 5*u = d - 2*d + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x**2 + 397*x + 160. Let p(l) = 4*l**2 - 99*l - 41. Let h(n) = 9*p(n) + 2*v(n). Give h(49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((4*(0 + (sqrt(208) - sqrt(208)*1 - sqrt(208))) - (-2 + -1 + sqrt(208)*-2 + sqrt(208))) + -2))**2 + 4.\nAnswer: -864*sqrt(13) + 67432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 16874481?\nAnswer: 826849569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.175 and 0.1?\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176515 and 105909?\nAnswer: 529545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -16*o + 1. List the prime factors of w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6385 = -45*j + 1276*j - 23619 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*r - 102*r + 130*r)*(-3 + 4 - 3)*(4 + 2 - 2 - 2 + 1 - 1 + (5 + 0 - 4)*(-1 + 0 + 3) + 1 + 0 - 2 - 5 + 2 + 1)*(-3 + 7 - 2) as o + m*r and give m.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:32 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*p**3 + 15*p**3 + 155*p**3 - 108 to s*p + q*p**2 + r*p**3 + a and give r.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.6 - -27.36. Let p = w - 37.66. What is p rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 1376*b - 35392.\nAnswer: -4*(b - 316)*(b - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) - (0 + sqrt(80) + 3)))*6.\nAnswer: -18 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {h: 1, v: 4, d: 3, q: 1, b: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -435826791 - -0.3.\nAnswer: -435826790.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8111 - -32428. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -126, -653, -2082, -4863, -9446?\n\"Answer: -75*k**3 - k**2 + k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v - 6. Let q(l) be the second derivative of l**2\/2 + 2*l. Let f(b) = 73*b + 17373. Let d be f(-238). Calculate d*c(u) - 6*q(u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14900798 is divided by 556?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k. Suppose 4*t + 4*a = a - 77, 3*a - 63 = 3*t. Let d be (-2*(-1 + 2))\/(t\/(-30)). Calculate n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1428*w**3 - 1425*w**3 + 7 - 32 + (-2*w + 0*w + 0*w)*(0*w + 0*w - w**2).\nAnswer: 5*w**3 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1105, 2309, 3711, 5413, 7517, 10125, 13339?\n\"Answer: 17*n**3 - 3*n**2 + 1094*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 1\/12*b**4 + 0 + 149*b + 0*b**2 + 1\/3*b**3. Factor m(f).\nAnswer: f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5775 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/4*4\/(-32).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/37 + -29\/148. Let v = 73 + -366\/5. What is the third smallest value in f, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*r**2 + 290*r**2 - 6235288*r + 6235288*r.\nAnswer: 199*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-65978)\/19904 - (4 + -3 + -4). Let k = u + -9\/311. What is the common denominator of 61\/16 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60811*f**2 + 227966.\nAnswer: 121622*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 98*i + 2. Suppose -5*u + 2*u - 10 = -t, 0 = 5*t - u - 8. Is 25 a factor of d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2903227.\nAnswer: 2903227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*i + 338 = 2048 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -10\/9, 1, 8\/5 in ascending order.\nAnswer: -10\/9, -2\/11, 1, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 86*k**2 - 34*k + 1469. Calculate g(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - l + 2)*(69 + 25*l - 69)*(2 + 2*l - 2).\nAnswer: -50*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5773848547 - 0.04?\nAnswer: -5773848547.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 90465624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 2)*(-17*j - 4*j - 14*j) + 2*j - 2 + 2)*(-3*j**3 + j**3 + 3*j**3) to v*j**4 + o*j + b + h*j**2 + m*j**3 and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.737347ng?\nAnswer: 0.000000737347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204000106\/95583 - 321318\/151. Let t = 1\/211 - s. What is the common denominator of t and 4\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, j: 1, y: 3, d: 1}. What is prob of sequence yppj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423859449 is divided by 1780922.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9277364, 18554897, 27832430, 37109963, 46387496?\nAnswer: 55665029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1050 and 571290.\nAnswer: 19995150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -4384 and -4370 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.94 - 0.06. Let x = 0.05 - -1.05. Let q = x - 0.1. Which is the third smallest value? (a) f (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -180, 29, 15 in decreasing order.\nAnswer: 29, 15, 9, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + h + 11, 3*h + 3 = -6. Suppose 0*s = s - r. Let j = s - -5. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4036*n + 4046*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-188)\/(-36) + 6\/(-27). Suppose -3*u + 12 = -y*r, -6 = 3*r - 5*u - 2. Let v = r + 334. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71635756 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 18 - 6*i + 0*i**3 + 1\/4*i**4 - 7\/2*i**2. Solve p(u) = 0 for u.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79\/(49770\/1540))\/(3\/(-27)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531.0000407 + -531. Round y to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -28\nAnswer: 29\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 136. Let l(o) = -4*o + 40576. Determine l(b(w)).\nAnswer: -8*w + 41120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -423, -830, -1049, -984, -539, 382, 1875?\n\"Answer: 16*z**3 - 2*z**2 - 513*z + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084071471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 34*w**2 + 734*w + 54. Let s be q(49). Solve 2*x = 4*g + 10, s + 15 = 4*x + 5*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**6)\/l)\/l**(-2\/5))**(-27)\/(((l\/l**1)\/(l*l**(-3)))\/(l*l*(l*((l**(-2\/7)*l)\/l)\/l)\/l*l)**32) assuming l is positive.\nAnswer: l**(6197\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2077 - 557. What is the highest common factor of 285 and n?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117.\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144687 and 582654549?\nAnswer: 582654549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 12. Calculate the greatest common factor of q and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*v = v + 75, -4*v + 96 = -4*b. Let o be ((-7)\/b)\/(3\/18). Is o greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211800 rounded to the nearest 10000?\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2350*h - 6967. Determine z(3).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -105, 17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -221a2f - 3?\nAnswer: -221a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21058147 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1332 from -10.\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -28. Sort 3, 17\/4, z in decreasing order.\nAnswer: 17\/4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 28*d**2 - 23*d + 51. Calculate h(-27).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 12\/(-15) + 3184\/80.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 3:24 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13*x**2 - 111*x - 179. Let s(g) = 3*g**2 + 28*g + 46. Let v(i) = -9*s(i) - 2*u(i). Suppose v(r) = 0. Calculate r.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 1\/4 (c) -187 (d) 787 (e) -2\/3 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 25. Suppose 0 = -4*f + t + 12. Suppose f + 0 = x. What is the lowest common multiple of 9 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6608 and 832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one fifths of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 199, 387, 577, 769?\n\"Answer: u**2 + 185*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/5)\/y**(-7)*y**(-9)\/y**(3\/11))\/(y\/y**(-12)*y*y**(1\/4))**(-48) assuming y is positive.\nAnswer: y**(37429\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 76*a**2 - 838*a - 69. What is the ten thousands digit of v(57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77981*x**3 + 231556*x**3 - 71722*x**3 - 73532*x**3.\nAnswer: 8321*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 32*g**2 - 5*g - 99. Determine a(-32).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-2 + 1 + 0)*(3*d + 4*d - d) + 4*d + 4 - 4 + (3 - 2 + 0)*(4*d + 0*d - 3*d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -12\/5 (b) 0.01 (c) 0.2 (d) -41 (e) -12.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110220 (base 3) to base 8\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102154631 and 5157?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 1905*t**2 - 4 + 953*t**2 + 950*t**2.\nAnswer: -2*t**2 - t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 86?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**27\/n*n**(-25))**27 assuming n is positive.\nAnswer: n**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623323 is divided by 893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2166*q**2 + 17327*q - 7. Determine h(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 15) to base 8\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/150126 and -7\/275231.\nAnswer: 1651386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60412 + 7567. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*y**4 + 144150 + 51788\/3*y**2 - 632\/3*y**3 - 97960*y.\nAnswer: 2*(y - 155)**2*(y - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73213426?\nAnswer: 2, 11, 13, 281, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Let a be 0 + 0\/(-3 + h). Is a greater than or equal to -10\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t. Suppose 0*f + 54 = 6*f. Suppose -f*z + 26 + 1 = 0. Let p(w) = 3*w. Give z*c(u) + 4*p(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14954 is divided by 1068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608356366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*z**2 + 27143 - 9046 - 9044 - 9054.\nAnswer: -557*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 divide 13822936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 + 0*m**3 + 0*m**3)*(m - 2*m - 2*m) - 86 + 187 + m**4 - 102 + 2*m**2 + 13*m as r + f*m**2 + l*m + g*m**4 + b*m**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*(-44)\/(-165))\/(4\/10). Factor 22 - 22 + 20*u**4 - 22*u**4 - 6*u**z - 16*u**3 - 8*u**2.\nAnswer: -2*u**2*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -176, -442, -814, -1292?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 + 8*w**2 + 4*w - 9. Let g(h) = -5*h**3 - 15*h**2 - 7*h + 17. Let s(a) = -4*g(a) - 7*q(a). Suppose 6 = 5*m - 44. Let t = m - 6. Give s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 209?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 11:00 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003833583 rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145541 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: Calculate (1 - (-1 + -4 - -3)) + 30 + 26 + -16.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 3*g + 11, -4*y + 2*g = 26. Let m = y + 12. Let j = 163 + -151. Solve 3 + j = m*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/27)*w**(-1\/3))**16 assuming w is positive.\nAnswer: w**(256\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l. Let a(v) be the first derivative of -3*v**2\/2 - 11. What is a(n(w))?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -3\/4, -70, -4\/9, -2\/121, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564026 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkckck. What is prob of sequence ckc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/364 and -73\/1766960.\nAnswer: 12368720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**3 - 160*u - 5*u - 8*u**3 + (0*u**2 + 2*u**2 - u**2)*(-2*u + 2*u - 2*u) as m*u + f*u**3 + w*u**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z + 6. Is 9 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*b + 51 = 0, h + 0*b + b = 33. Let i be ((-1)\/2)\/((-6)\/1236). Let t = i - h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 7*t - 22. Let b be n(-10). Differentiate -b*h**3 + 11 + 3*h**3 + 3*h**3 - 6*h**3 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -105. Let n be 16\/o*3*-5. What is the units digit of (-2)\/n - 369\/(-6) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00133 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1278*y**2 - 1. Let s(o) = -o. Calculate s(k(h)).\nAnswer: 1278*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:20 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*y = -5*y, 5*o = y. Put -5, o, 7 in decreasing order.\nAnswer: 7, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -131, 5, -890\/97?\nAnswer: -890\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:59 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -24. Let h = x + 14. Solve -30 = h*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(-2*k - 2 + 2 - 4 - k + 4 + 3 - 3 - k + 1 + k - 1 + (-3 - 2 + 3)*(2*k - 5*k + 2*k) - 3*k + 3*k - 4*k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598087 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000010110010001 (base 2) in base 9?\nAnswer: 221668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/410863 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/2487?\nAnswer: 2\/2487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/4 + -6 + -1. Let p(o) = -2*o - h + 3 - 3*o - 3*o. Let t(x) = -23*x - 3. What is 17*p(i) - 6*t(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -0.0208\nAnswer: -0.4208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.969 + -0.0384. Let g = k + 7.9944. Let m = 7 - g. What is m rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**5 - s**5 + s**5 + 0*s**5 + 0*s**5 + 4*s**2 - 4*s**2 + 2*s**5 + (-2*s - 2*s + 2*s)*(-2*s - s**4 + 2*s) + 5*s**5 - 2*s**2 - 4*s**5 - 4*s**5.\nAnswer: s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 21*i - 16*i. Let r be 1 + -4 + 5 + -2. What is the nearest to 0 in 0.4, 1, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from tzctzc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(-3*z**2 - 2*z**2 + z - 3*z).\nAnswer: 25*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -33748*l - 135232. What is t(-4)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/3*1 - 1. Suppose 2*q = q + n. Suppose -2*s + 3*a + 38 = -22, 2*a - q = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - 40 - (-2 + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {n: 6, w: 2, x: 2, h: 5, c: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 91 + (-121 - -29) + (2 - (18 + 1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7897 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -8*d**3 - 773. Let j(l) = 4*l - l - 4*l. Give n(j(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - 1 - 2*y**3 - 6*y + 3*y**2 - 3*y**2 - y**3 + (3*y - 4*y + 4*y)*(-3*y**2 - 5*y**2 + 4*y**2) - y**3 + 2*y**3 - 2*y**3.\nAnswer: -16*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1406*z. Let k(j) = -240*j**2 + 18. Give k(a(g)).\nAnswer: -474440640*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -785, 158, -5, 3, 1 in decreasing order.\nAnswer: 158, 3, 1, -5, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2138146 divided by 19.\nAnswer: 112534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50990, -102050, -153110, -204170, -255230?\n\"Answer: -51060*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11355 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q - 122 - 478 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18699.\nAnswer: 3, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from jjjjbjjjb?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 786*v - 161134. Determine s(205).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -7*r - 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - 12*m. Let o be d(-3). Let w(y) = 658*y - 331. Is w(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllalammamalmlamaml. What is prob of sequence mam?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17078, -2\/21, -223, -2\/3?\nAnswer: 17078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/12 + -2)*-6. Let v be (-8)\/(-14)*(m - (-36)\/(-4)). Which is smaller: v or -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -23369*m**2. Let c(w) = -2*w. Give z(c(v)).\nAnswer: -93476*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.5 (c) -1\/3 (d) 5 (e) 3\/109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:32 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5970374083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -32 - (-17 + 23 - -11).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 3*c**3 - 4*c**3 + 0*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243636437 to the nearest integer?\nAnswer: 15609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22871 - -16c?\nAnswer: 229dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82088\/33 + -2488. What is the common denominator of 23\/15 and c?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6814177*a**2 - 3421226*a**2 - 3392953*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.65 minus -0.4?\nAnswer: 107.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, -176, 1883 in decreasing order.\nAnswer: 1883, 15, -5, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*m + 584*m - 297*m.\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 24. Suppose a = 2*a - c. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14902475*h + 13789994 with respect to h.\nAnswer: -14902475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402824081?\nAnswer: 11, 79, 463549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, d: 9}. What is prob of picking 2 d and 2 h?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1829935.\nAnswer: 5, 139, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {j: 9, y: 2, z: 1, x: 7}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 27. Let n = g - -20. Let a(k) = -n + 16 - k + 18. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 22\/(-6))*(16 + -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:17 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17541 divided by 8508.\nAnswer: 5847\/2836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**3\/6 + 21*g**2\/2 - g - 2. Let m be z(-20). Is (4 - m - -1527) + 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, -457661, -6, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 9*y - 12. Let i be t(-11). Suppose -2*w = -4*g - i, 0 = w - 6*w + 4*g + 31. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + q)*((0*q**2 - 4*q**2 - 3*q**2)*(-q + 2*q**2 + q) + (61*q**2 - 11*q**2 - q**2)*(-7*q**2 + 2*q**2 + 4*q**2))*(2 - 1 - 2).\nAnswer: 63*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5 + 11. What is the smallest common multiple of u and ((-20)\/15)\/(48\/27 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w + 3*k - 9, -2*w - 4*k - 2 = 0. Let u be (-3)\/(63\/12) + (-4764)\/(-56). Let d = 2539\/30 - u. What is the biggest value in w, d, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75810793 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -15\/91492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 - 199.9. What is the closest to f in 5, 0, -45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {n: 8, g: 2, f: 1, j: 7}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/8)*t**(2\/11)*(t\/((t*t*(t\/t**9)\/t)\/t))\/t**(-8))\/(t**6*t\/(t*t\/t**(2\/9)))**21 assuming t is positive.\nAnswer: t**(-24449\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.44 rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a04685 (base 15) to base 14\nAnswer: 1020c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52127 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 704636439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100101 + 11?\nAnswer: 110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -358 - -355. Let d(n) = 6*n - 2*n - 6*n + 39. Let r be d(22). Sort -2, r, i, 5 in decreasing order.\nAnswer: 5, -2, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 7*y + 3. Let g be u(-7). Suppose 3*b + b = -5*d - 1, 5 = g*d + b. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -46, -54, -62?\n\"Answer: -8*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 14*f**2 - 10*f - 25. What is s(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-3))\/(((-2)\/2)\/((-582)\/291))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.2 - -2. Let t = f + 0.2. Let y = 2\/7 + -39\/14. Which is the nearest to -1? (a) 4 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, a: 1, p: 3, h: 1, n: 2, c: 4}. What is prob of picking 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103551 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*7\/84*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6410, -12848, -19284, -25718, -32150, -38580?\n\"Answer: i**2 - 6441*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7602 divided by -332\nAnswer: -3801\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*d + 18. Suppose -d - 29 = -4*r. Let o be 202\/18 - 6\/27. Solve -5*p = -o - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 198. Determine m(39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*p - 2 = 242*p, 2*p = -2*k - 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-5)*z)*z)\/z*z**(5\/4))\/((z*(z\/z**(-8\/11))\/z)\/((z\/((z\/((z**(-25)*z*z)\/z))\/z))\/z)))**(-16) assuming z is positive.\nAnswer: z**(3604\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2304\/7, -5, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3330211021 + 2?\nAnswer: -3330211013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**3 + 2*a**2. Let z(d) = -d**3. Let v = 250 - 246. What is v*z(f) + u(f)?\nAnswer: 6*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 35*z + 6. Let s(j) = 2*j + 1. Let u(d) = -g(d) + 6*s(d). Calculate u(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86312*k - 2922*k**2 - 1147*k**2 + 86312*k.\nAnswer: -4069*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272027\/3 or -90677?\nAnswer: -272027\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - c - 11 = 0, 5*x + 5 = 5*c - 10*c. Solve 5*o + x = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 14 = 16*z. Suppose z*a = -30 + 1710. Calculate the greatest common factor of a and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 + 0 = -3*z, -4*p - 4 = z. Let u = -36\/739 + -16889\/2217. What is the closest to p in u, 0, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - 4321?\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30212110320 - -11?\nAnswer: 30212110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9d54 (base 14) to base 3\nAnswer: -1101110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1047*l + 99411. What is q(95)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 70?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 820964128 divided by -4?\nAnswer: -205241032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.93 + -0.07. Let j = 78 - 80. Put f, -4, j in ascending order.\nAnswer: -4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 121. Let r = 368\/7 - i. Calculate the common denominator of 125\/6 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -33 (c) -2 (d) 2 (e) -5 (f) -11 (g) 31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000655242 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**4\/4 + 2*t**3\/3 + 5*t**2\/2 + 61400000*t + 46. Let o be q(0). Round o to the nearest 1000000.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - (13 + -25)) + -11)\/(125 - 3).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/12 - n**3\/3 - 3*n**2 - n. Suppose -m + 10 = 14. What is the tens digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:31 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 7647247?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:46 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s*s\/(s*s*s**27*s))\/s))**(2\/33)*s**35\/s**29)**(-12) assuming s is positive.\nAnswer: s**(-1040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3087654?\nAnswer: 2, 3, 227, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - 4*o + 0*o)*(-o**2 + 0*o + 0*o) - 3*o**3 + 3*o**3 + 2*o**3)*(5*o - 20*o + 6*o).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. Suppose -p*m = m - 15. Put 1, 2, m in ascending order.\nAnswer: 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7447231 millimeters in micrometers?\nAnswer: 744.7231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5057? (a) 6 (b) 0.5 (c) 0 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 228 and 888 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27731 is divided by 462.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 32*g - 36. What is x(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 7*z**4\/2 + 6*z. Let s(n) = -n**2. What is v(s(m))?\nAnswer: 42*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -247. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 2*f - 1. Let h be d(-1). Suppose -3*z + 9 = h, 2*n - 2*z - 21 = 5*n. Let g(u) = -2*u + 11. Does 22 divide g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21842 + 4837?\nAnswer: 26780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*x - 17*c = 257*x - 8, -1 = x - 3*c for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x + 15. Suppose 0 = -x*h + 8, b + h = 5*b + 298. Is (-1 - -3)*b\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 11568*t**4 - 59037*t**3\/5 - 114507*t**2\/5 + 2418*t\/5 + 48\/5 = 0.\nAnswer: -1, -1\/80, 8\/241, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i. Let o(t) = 6*t. Let g(f) = -2*m(f) + 5*o(f). Let n(k) = -3*k. Give n(g(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6)*a**(-2\/3))**(-1\/3) assuming a is positive.\nAnswer: a**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2 = -b, 4*y + 231*b = 235*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12) + 23\/138. Let z(w) be the third derivative of w**4\/12 + 15*w**3 - 2*w**2. What is the units digit of z(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 9 = -6*g. Suppose 2*f = -3 + g, -f = a - 2. Suppose a*v - 2*r + 43 = 253, 0 = -v + 5*r + 70. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660953 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-45) + 26\/(-30). Let h = y - -2\/5. Put 0.06, h, -3, 4 in decreasing order.\nAnswer: 4, 0.06, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 1107.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 24*d + 1159*d**2 - 1155*d**2 + 1 to w*d + c + k*d**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 8*r**3 + 20*r**3 + r**3.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330402 divided by 159.\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/53))**(2\/19) assuming t is positive.\nAnswer: t**(4\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533 + 1680 - 3213 + 1044*b**2.\nAnswer: 1044*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571327047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) + (-4038)\/1500. Let h = 1\/125 - b. Calculate the common denominator of h and -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995793 is divided by 3036?\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -0.5. Let b = 2.5 - 2.6. What is the nearest to b in 0.1, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 108368.\nAnswer: -137\/54184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5755900 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(128) + -1 + -4) + -2)**2*-2.\nAnswer: -7200 + 3200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 + 11*b**2 - 4*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 788082838121 - 788082837732.0364917906. Let u = 0.0362687906 + p. Let a = -389 + u. Round a to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 divided by -1?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136869000 rounded to the nearest 1000000?\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -1 (c) 0.3 (d) 354\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 54, 77, 100?\n\"Answer: 23*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 23899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let j be 1\/((-2 + 3)\/h). Factor 4*b + b**3 - j*b**3 + 0*b**3 + 10*b**3 + 12*b**2.\nAnswer: b*(3*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77.000517 + -77. What is i rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4 + 44*g**3 - 94*g**2 + 48*g = 0. Calculate g.\nAnswer: -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497504316 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43884 divided by -6.\nAnswer: -7314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c**4 + 23709*c**3 + 483687*c**2 + 684051*c + 224067 = 0. Calculate c.\nAnswer: -3931, -19, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -24)*(-2 + 1). Let a be (-322)\/(-3) - (-2)\/(-6). Suppose a = -y - 5*g + 314, 0 = -g. Calculate the greatest common factor of y and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7258 less than -4.424705?\nAnswer: -7262.424705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 36, 7, 3 in increasing order.\nAnswer: -6, -1, 3, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12968 is divided by 2159.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p - 2*p)*(-p**2 + p**2 - 5*p**2)*(1870 - 1870 + p - 33*p**2).\nAnswer: -165*p**5 + 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1. Let r(a) = -48*a - 9. Let q(f) = -4*h(f) + r(f). What is the units digit of q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 519.2.\nAnswer: 519.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 539599*g**4 + 56472*g**2 - 4*g wrt g?\nAnswer: 12950376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1113 and 636.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -330 - 102. Solve -61*o**3 + 1 - 30*o + 23*o**3 - 5 + z*o**2 = 0 for o.\nAnswer: -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = 5 - 5. Let v(g) be the second derivative of 0*g**2 + i - 1\/60*g**6 + 0*g**5 + 1\/8*g**4 - g - 1\/6*g**3. Suppose v(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nndy when four letters picked without replacement from {z: 1, o: 1, y: 3, d: 5, a: 5, n: 5}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3374*d*t**3*u**2 + 461*d*t**2*u**2 + 1574*d*u + 3*t**3 - 9*t*u wrt u?\nAnswer: -6748*d*t**3 + 922*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(12) + 1.\nAnswer: -10*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiuuiuiiu. What is prob of picking 2 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - (-116)\/3. Let f = -3 + 16. What is the highest common divisor of f and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.61177 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 93655 + 15670 = 0. What are the prime factors of u?\nAnswer: 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + i**5 - 2*i**4 + (1720 - 1720 + 71*i**2)*(-2*i - i**3 + 2*i).\nAnswer: -70*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = 0, -3*q - 2*c - 3*c + 116 = 0. Let y = q + -24. What is the greatest common factor of y and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**18*l**31)**(4\/11) assuming l is positive.\nAnswer: l**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxiwixffxxifwxiwww. What is prob of sequence iw?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttoot. Give prob of picking 2 t.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1224243 + -1?\nAnswer: 1224242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -164, -108, -5 in increasing order.\nAnswer: -164, -108, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2525, -3, 2, 14\/9 in increasing order.\nAnswer: -3, 14\/9, 2, 2525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -12.696 (b) -411 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -32. Suppose -v + 38 = -69. Suppose -v*h - 750 = -113*h. What is the greatest common factor of u and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-351)\/702)\/(25\/10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58522?\nAnswer: 2, 29, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*j = -37216, 3*z = 17*j - 16*j + 55812. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 21*i**2 + 41*i + 10. Is m(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-2)*9\/39?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-8 + 13) - (-1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 - u + 1. Let b be j(1). Suppose 4*y + b = 6*y. Solve y*w = 4 - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2704260 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u = -622 - 898 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 90 = -4*m + 2*m, 2*z + 33 = m. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 5, 35023, 49?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 981.5668mg?\nAnswer: 981566800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1879.021?\nAnswer: 751.6084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 - -102. Let k = 10.8 - 4.5. Let p = k - 6. What is the third biggest value in p, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (9 + -3 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 5 + 0 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 31*j**2 - 22*j + 70. What is the tens digit of t(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - n = 9, -21*n + 23*n = -10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*c**2 - 28*c**2 + 2684 - 66*c**2 in the form x*c + t + o*c**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 0*w**2 + 4*w**2 + (82 + 48 + 7)*(3 - 3 - w**2) + 0*w**2 - 4*w**2 + 3*w**2 + 3*w**2 - 2*w**2 - 2*w**2 to k + v*w**2 + z*w and give v.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100.4629 nanograms to tonnes.\nAnswer: 0.0000000000001004629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1156\/(-102)*(-3)\/2. What is the highest common divisor of a and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 689 + -472. Let l = t - 208. Let o(q) = q - 10. Determine o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.16672 millennia to months.\nAnswer: 662000.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.051 - 5.051. What is the closest to 1\/3 in 5, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64428.52 years to millennia.\nAnswer: 64.42852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = 3*f. Let q(w) = -2*w**2 + 3*w + 5. Let y be q(3). What is the closest to y in 2\/7, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2223 = -2065. Suppose r - n = -0*r - 3*z, 5*r - 10762 = -z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/45)\/(3\/(27\/12))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/14*(-8988)\/(-57780)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**5 - 8*l**4 - 15530*l**3 - 13406591*l**2 + 2 wrt l.\nAnswer: -480*l**2 - 192*l - 93180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11898 and 75?\nAnswer: 297450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 15. Let c be 1*1168 - (m - -5). Let y = 1814 - c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132266, -132297, -132348, -132419, -132510, -132621, -132752?\nAnswer: -132903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3941, 0.06, -4, 1\/4, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m = 916. List the prime factors of m.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 2, q: 1, p: 1}. Give prob of sequence lwq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 127. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*j - 239 + 239 = 0. Solve -2*q = 3*c + 5, j = -3*c - 5*q + 6 + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 694999 - 64635755\/93. Let f = -332681\/44299 + -55\/1429. Let h = l + f. Which is greater: -17 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(5\/2 + -3). Let b = 1 + d. Let t = b - -10. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8509 and 7112.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -423401?\nAnswer: -423401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124688292 + -30?\nAnswer: -29.875311708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21252?\nAnswer: 2, 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266.3 + -262.3. Let j(l) = l**3 + 10*l**2 + 2*l + 24. Let t be j(-10). What is the closest to r in -5, 0.8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10688876.\nAnswer: 2, 11, 277, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 5) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/8 - 3373*u\/8 + 3371\/4.\nAnswer: (u - 3371)*(u - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165147 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4496 by 458.\nAnswer: -2248\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(-3) - 9\/(-42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0.3, -51, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 82. Calculate the remainder when 43 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -334981.3611257164 - 65.1888732836. Let f = 335047 + i. Let j = f + -0.45. What is j rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 + 40*q**3 - 80*q**2 + 60*q - 16 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11*(-3865)\/(-127680) + 15\/45*-1. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2\/11 (c) -0.21342 (d) 1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (50\/700)\/(-3 - (-1)\/4*10)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442 divided by -1.\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1172072*-226\nAnswer: -26.4888272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 29*h - 138. Calculate p(-24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**2 - 8*z + 3. Let b be m(1). Factor 9 - 3*k**2 + 13*k**b - 6 - 12*k**3 + 1.\nAnswer: (k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (-979)\/143 + 7 - (-6054)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 7*s**2 + 10*s - 12. Let z be i(8). Suppose -3*y = 4*o + 4756, 4*y - 2952 + 9256 = z*o. What is y rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(3 - 3 - 2*k**4) + 4*k - 528*k**4 + 1193*k**4 - 552*k**4 in the form a*k + j*k**4 + d + m*k**3 + r*k**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*n**2 - 666*n**2 + 332*n**2.\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7660\/(-3064)*1\/(265\/(-4)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3696 and 4637424?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122133611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (-8 + 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 24\/(-64))\/(9\/(-20)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.087 and -12624.274?\nAnswer: -1098.311838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 82b0 (base 14) to base 9\nAnswer: 33767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - u**5 + 4*u**5 + 4 - u**5 - 4 + (-2*u**5 + 0*u**4 + 0*u**4)*(4 + 0 - 2).\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + z - 3 - 3*z - 6*z**2 + 2 + z**3. Let i be k(-1). Let a be -8*1\/(4\/i). Solve -4 = -a*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e (base 16) in base 7?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 0*x**2 - x**2 - 3*x**4 - 3*x**3 - 1 as d*x + y*x**4 + z + h*x**3 + a*x**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 10996*f\/9 - 22000\/9.\nAnswer: 2*(f - 5500)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/9*(-3 + 0). Suppose 20 = -9*z + o*z + 5*s, -3*s - 8 = 2*z. Let w = 5 - z. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35967*w - 9041*w - 8981*w - 8949*w - 8994*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 20288*r + 0 - 12686*r - 21342*r + 4513*r.\nAnswer: -49803*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l**2 + 5*l**2 + l**2)*(-2*l**2 + 1 - 1 + (-3*l - 2*l + 4*l)*(0*l + 2*l - 3*l)).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2 (c) 0 (d) 3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x - 28. Let y be v(-6). What is the biggest value in -83, y, 0, -2, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 4. Let n be -3 - (-9)\/12*-4. Let t be i(n). Is 3150\/t - 1\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 - -209. Put -0.2, k, -0.3, 36 in increasing order.\nAnswer: k, -0.3, -0.2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 0*o - 666 = 0. Let y = o + -77. Let q(c) = -5*c**3 + 8*c**2 + 4*c - 2. What is the units digit of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.3929, 57?\nAnswer: 0.3929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (848\/(-60))\/((-2)\/6). Let g = 42 - u. Let k = 0.065 - -0.335. Sort k, g, -1\/5, 0.1 in decreasing order.\nAnswer: k, 0.1, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 - 323. Suppose j = 4*a + 5*y - 86, a - 10 = 3*y + 20. Solve -7*g + g = a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 35 - 53. Let q(i) = 10*i**p - i**2 + 11*i**2. Let w(h) be the third derivative of -h**4\/24 - h**2. Determine q(w(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -24. Let s = -175 - 23. Calculate the common denominator of -81\/4 and c\/54 + 883\/s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44200 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -4\/9, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 37. Suppose -3*a - 3 = f*i, -7 = i + 4*a + 2. Suppose 2*g = -4*h + 8, g = 6*g - i*h - 20. Put -7, g, 5, 0.3 in ascending order.\nAnswer: -7, 0.3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38 + ((-16)\/(-4) - 1). Let i = -20 - v. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412038?\nAnswer: 2, 3, 11, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y + 1. Let c be b(1). List the prime factors of 23\/2 + c\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3 - -0.8. Let p = -1.5 - y. What is the second biggest value in 4, -2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -12 + (-8 - -12) + -12 + (4 - -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.2675\nAnswer: 0.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 = 3*z - 3*p, -3*p = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 8*i**2 - 1 + 5*i**2. Let u be (-2)\/(-8) + (-7)\/(-4). Let q be v(u). Solve -q*f = 3*k + 2*k + 15, 0 = 3*f - k + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(2\/13)))\/c**(-11))**(-7\/5)\/((c\/((c\/(c\/(c**(1\/2)*c)))\/c)*c\/(c**(1\/6)\/c*c))\/(c\/(c*c**(-5\/2))*c*c*((c**(-1)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-1283\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-63))\/(32\/(-56))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - -1 - (-6 + 2)) + 13 + -14 + 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o = -237*o + 1352 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*j + 51*j**3 - j**2 + 10*j**2 - 79*j - 8*j**2 as x*j + u*j**2 + t + f*j**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9399.0000009018 - 9399. Round d to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8350*w**2 - 87*w - 7. What is the hundreds digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -20. Is 3 a factor of u*1\/3 + 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4246 and 6948?\nAnswer: 76428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/60*((-1456)\/832 + 182\/24).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:14 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.7 + 15. Let h = -62188510.30000055 + 62188509. Let k = h + f. Round k to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (153\/(-2516))\/(1 - 244\/256). Let j = 454\/407 + d. Let o = -3 + -4. What is the second smallest value in o, j, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 179 + 82. Calculate the remainder when 751 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/473 and 139\/5160?\nAnswer: 56760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 173 = 145. Suppose -5*s = p*k - 573, -5*s + 278 = -3*k - 281. What are the prime factors of s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/3 - 4\/12. Let y be (2\/w)\/(5\/70). Factor 8*d**2 - 4*d**2 - 3*d + y*d.\nAnswer: 4*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14285\/2 - 7490. Which is smaller: h or -349?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*q - 2 = 0, 4*q + 4 = -0*c + 4*c. Let i be 52\/9 + 2 + 160\/(-90). Put c, -4, i in increasing order.\nAnswer: -4, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/3 + (-110)\/(-66))\/(9\/(918\/4))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/2 - 84\/(-22). Let d = -17.75 + 12.8. Let s = d - 0.05. What is the third biggest value in j, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from ibbssssiis?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 38527131 to the nearest 100000.\nAnswer: 38500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23389411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 + 2*q**2 + 4*q - 5. Let d(k) = 4*k**3 - 3*k**2 - 5*k + 6. Give 2*d(a) + 3*s(a).\nAnswer: -a**3 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 5, -176?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6193 divided by 29.\nAnswer: -6193\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 49. Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*i + 494*i = -36*i + 15775 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 2 = 24*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.29999817 - -13.3. What is p rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 0 + 3 + 2. Suppose -18164 = b*r + 2*r. Let o = r + 2241. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10319494?\nAnswer: 2, 2029, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.01, 0.4, 0 in decreasing order.\nAnswer: 2\/3, 0.4, 0, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 28 = -5*z + 36*w, -z - 9 = 4*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-378)\/(-14))\/((-5 + 6)*-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 96. Let o(z) = -237*z - 3. What is o(u(m))?\nAnswer: -237*m**2 + 22749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 1435252?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9670*i**2 + 56896*i.\nAnswer: 19340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59423829\/518 - 114718. Find the common denominator of -13\/3108 and l.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1 - (1 - 1)). Let h = -9 + 9. Let w(p) = 2*p + 2. Let r be w(h). Solve -r = -m*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-7 + -5 - -24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3. Let p = o - -2. Let b = p - 2. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44443607*q - 86289771?\nAnswer: -44443607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9858725324969 + 14.2.\nAnswer: -9858725324954.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.33, -0.13, 1\/7, -0.04?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112157 or -112230?\nAnswer: -112230","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005466 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 + z**3\/2 - 11*z**2 + 2*z - 649. What is l(-9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75710171 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urruiiiiuuu. What is prob of picking 3 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -48*x + 533. Let d(r) = 95*r - 987. Determine -6*d(u) - 11*s(u).\nAnswer: -42*u + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, s: 10}. What is prob of picking 1 s and 1 j?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + x**4 - 4*x**4 + (0*x - 5*x + 2*x)*(-4*x**3 + 2*x**3 + x**3) + (-2*x**2 - 3*x + 3*x)*(5*x - 5*x - 2*x**2) - 2*x**4 + 2*x**4 - x**4.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 121.693?\nAnswer: 24.3386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**2 - 1821*i + 1817. Let w be h(1). Suppose -4*m + 9*m - 10 = 0. Let z(g) = g**3 - 3 - 6*g + 5 + m*g. Calculate z(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2312457742 to three decimal places.\nAnswer: 0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 900161 (base 11) to base 15\nAnswer: 1d97d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 17 = 3*y - 2*d, 5*d + 25 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/2*i**2 + 115\/2*i + 225\/2 + 1\/2*i**3.\nAnswer: (i + 5)**2*(i + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by -110\nAnswer: -151\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3966312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -190*q + 501. Calculate j(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 12}. What is prob of sequence ii?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 23*k + 2*n - 224, 0 = -k + 4*n + 29 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*((c*(c\/c**(2\/5))\/c*c*c*c)\/c)\/c*c*c))\/c*c*c**7)\/(c**(-7)*(c\/c**0)\/c))\/((c*c**5*c*c*c)\/(c*c**(-6)*c)*(c**(-2\/7)\/c)**50) assuming c is positive.\nAnswer: c**(2159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 150*z**3 - 2383407*z**2 - 1477761*z - 143010 = 0.\nAnswer: -1\/2, -3\/25, 15890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 7)*(30 - 34\/((-7344)\/(-5886))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -46539781?\nAnswer: -4\/46539781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 27*h. Let i be w(1). Suppose -2*n = c + 2*n - 25, -3*c + 4*n + i = 0. Calculate the greatest common factor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22880 is divided by 85?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51433*c**3 - 4765*c**3 + c**2 - 2*c**2.\nAnswer: 46668*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000334792 rounded to seven dps?\nAnswer: 0.0000335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.4 take away -3.202?\nAnswer: -13.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxfsbpfffbsxfffiffpp. What is prob of sequence pb?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339761 is divided by 4295.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 25. Suppose -45 = 3*c + 21. Let s = p - c. Calculate the highest common factor of s and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1109, 3451, 7345, 12785, 19765, 28279?\nAnswer: 38321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 - -0.29. Let m = -3.17 + g. Let f = -3.3 - m. What is the second biggest value in 2\/7, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 5*(sqrt(78) - sqrt(78)*-2))\/(sqrt(72)\/sqrt(3)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.125*4.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 21. Solve b*q + 8 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -217\/3. Sort -1, -0.5, 3, r.\nAnswer: -1, -0.5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 3824ca0?\nAnswer: -3824c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27) + 87\/27. Factor 2*x + 8*x**3 - 2*x**2 + r*x**2 + 5*x**2 - 2*x**3 + 2*x**4.\nAnswer: 2*x*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 355921 - 1?\nAnswer: 355920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*1 + (sqrt(11) + 0 + sqrt(11) - sqrt(11)) + 5.\nAnswer: 5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1254017 divided by 356\nAnswer: -1254017\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2*c**3 - 12)*(c + 0*c - 2*c) + (0 + 4 - 3)*(52718*c - c**3 - 38*c**4 - c**2 - 52718*c).\nAnswer: -36*c**4 - c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2977 divided by 1.\nAnswer: -2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/(-6) + 2\/6. Let g = -11 - a. Suppose -5*p = -7 + 37, -14 = 2*t + 3*p. Put g, t, 0, 5 in increasing order.\nAnswer: g, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.494459 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*u + 5, -3*u + 3*b = -0*b - 12. Suppose f + 3*g + 20 = u*f, 2*f = -4*g - 8. Solve 0 = -0*w - f*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4332*d - 3462*d - 14277*d.\nAnswer: -22071*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 331755611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = 2*p. Solve p*w - 3*j = 47 - 10, 4*w = -j + 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -582*-4.\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/19597, 3, -0.1, 2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9024 + -8998. Let r(t) = -t**3 - 4*t**2 + 2*t - 7. What is the remainder when r(-7) is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -3 + -3.\nAnswer: -6 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/21 - (-41)\/(-7). Let n(k) be the third derivative of 1\/24*k**4 + 4*k**2 + 0*k + 0 + 1\/6*k**3. Give n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112707 and 1092?\nAnswer: 5860764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 946179618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498780734?\nAnswer: 2, 3, 7, 35704609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49b33a (base 12) to base 14.\nAnswer: 233bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 24.1. Let y = -5.6 + 0.6. What is the nearest to c in 1\/3, y, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10793355 is divided by 2698333.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -10\/71, -85443\/4?\nAnswer: -10\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324*z**3 + 466*z**2.\nAnswer: 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16802.35 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round -278780 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31926476427 - n**2 + 31926476427.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -5, 0.56, -1.34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:44 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*t + 55, -a + t + 11 = -t. What is the second derivative of m + 4*m**4 + 4*m**4 - a*m**4 wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-10)*(-4 + -1). Let t = -7 - -12. Suppose c*p = 2*i, -t = 5*i + p - 16. Solve h + 15 = 5*a, -2*h - 3*a = -i - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 13 = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6375.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648642940.\nAnswer: 2, 5, 11, 137, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, z: 1, u: 1, p: 5}. What is prob of picking 1 l, 1 z, and 2 p?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 342525?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.3 + 7. Let f be (-9)\/30*(-5)\/(-15)*(95 + -90). Let i be (-70)\/72 - 12\/(-54). Put f, i, z, 1\/3 in decreasing order.\nAnswer: 1\/3, z, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 + k**3)*((k + k + 0*k)*(-4*k - 2*k + 2*k) - 2*k + 2*k - k**2).\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x = -60*x - 63*x + 178 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22608450 and 11475.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 45*a**2 - 137*a - 183. Let m be x(41). What is the greatest common factor of 176 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169387873*i**2*k**2 - 2*i*k**2 - 304*i*k - i - k**2 + 3*k - 1547 wrt i.\nAnswer: -338775746*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*l + 2*k, l + k - 77 = -4*l. Let d be (-14)\/l - 1\/(-3). Let i = 0.06 + 0.94. What is the biggest value in d, 2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001472 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479.5131ug to grams.\nAnswer: 0.0004795131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5919 is divided by 116.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 10. Let b be a(13). Solve -3*g - g = b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h + 3. Let n(r) = 12*r - 3. Calculate -4*k(o) - 5*n(o).\nAnswer: -8*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Let k = -2 + z. Suppose j - 142 = -7*j - 102. Which is the second smallest value? (a) -0.16 (b) k (c) -1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 108 and -396.0573773.\nAnswer: -288.0573773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.503196 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2. Let d(o) = 373*o + 1025. Let p(u) = 372*u + 899. Let f(j) = -7*d(j) + 8*p(j). Give i(f(k)).\nAnswer: -133225*k**2 - 12410*k - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(42\/(-840)*-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273\/23294 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 560*r**3 + 3*r**2 - 2. What is the units digit of x(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = 1. Suppose -f + n = -2. Let y(w) = -w - 6. Let d be y(-2). Sort d, f, 4 in ascending order.\nAnswer: d, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*((-3)\/1 - (-8325)\/370)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 0 + 0)*(-5 + 1 + 2) + 13 - 4*x + 28*x - 15 + 1 - 1 - 2*x + (-4 + 2 + 4)*(-3*x + 3*x - 2*x) - 3*x + x + 4*x to f + s*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 341864652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -128768*m + 128770*m + 5*p - 9 - 24, m = -p + 11 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15457, -15608, -15861, -16216, -16673, -17232?\n\"Answer: -51*t**2 + 2*t - 15408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*-2*sqrt(156) + sqrt(156)*-1*-3))\/(3*(1*sqrt(768) - sqrt(768)) - sqrt(768)*-2*-3).\nAnswer: 5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7966, 8059, 8152, 8245, 8338?\n\"Answer: 93*s + 7873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 71 = -22. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2091 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -49.5. Let r be 0 + 0 - 3\/(-9). What is the nearest to r in -4, a, -0.7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 5, 20, -3, -47 in descending order.\nAnswer: 20, 5, 3, -3, -13, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-731)\/33626 - 1002\/460.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.6. Let t = -0.2 + d. Let s = -10 - -11. Put s, t, 0.3 in decreasing order.\nAnswer: s, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -195 in descending order.\nAnswer: 15, -2, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77333376 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749009 to the power of 1\/2, to the nearest integer?\nAnswer: 2398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6989*r**2 - 1 + 7239*r**2 - r + 6. Let b be l(5). What is b rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14767, -59070, -132921, -236320, -369267, -531762, -723805?\n\"Answer: -14774*h**2 + 19*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-54)\/(-12) + 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*r**4 - n*r**3 + 3*n*r**2 - 2*r**4 - 9*r**3 - 9*r**2 + 69 wrt r.\nAnswer: -48*n*r - 6*n - 48*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000410335 to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + -2*1*sqrt(21) + sqrt(21))\/(sqrt(42)\/(sqrt(12)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.06 - 1.74. Let u = 32 + j. Let q = u - 2.2. Which is the nearest to 0.2? (a) -0.1 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 52 = -3*b. Let q = b - -54. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p + 6*p + 10*p - 96 = 0. Let s(q) be the first derivative of 0*q - 5\/3*q**3 + 14 - 17\/2*q**p. What is the second derivative of s(u) wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4\/7 - 500*b**3\/7 + 6800*b**2\/7 + 19760*b\/7 - 62784\/7 = 0.\nAnswer: -4, 2, 18, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183 + -180 - (9 - (-5 - (-2 - 0))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l = -67*l + 576. Calculate the highest common factor of l and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n**2 + 1. Let r = 2617 + -2612. Let u(h) = 7*h**3 + 5*h**2 - 5. Calculate r*f(z) + u(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(12\/5)\/q*q*q**6*q**(-5\/6)\/(q\/((q*q\/((q*q**(-10)*q*q)\/q))\/q)))**(-34))**(1\/22) assuming q is positive.\nAnswer: q**(-8449\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912472578 - 4?\nAnswer: 2912472574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 7*b - 43*b + 31. Put -1, 6, b, -4, 0 in ascending order.\nAnswer: -4, -1, 0, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*-3*sqrt(133))\/(4*sqrt(252)).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 11, u: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (416*p**3 + 2572 - 2572)*(-3*p**2 + 4*p**2 - 6*p**2) - p**5 + 3 - 1 + 2.\nAnswer: -2081*p**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 160\/(-16)*((-22)\/10 - -2). Suppose -n = -w*n + 160. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 2*h + 11*h)*(-3 - 2 + 0).\nAnswer: -90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 282*q - 7942. Give f(28).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 1286 - 1274. Let z(p) be the third derivative of 3\/2*p**3 - 9*p**2 + 0*p + 0 + 1\/8*p**d. Give z(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-5))\/((-6)\/465). What is the highest common divisor of 434 and y?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 - o - 5. Let k be y(-6). Suppose -1219*h + 2*f = -1217*h + 16, 4*h + 2*f - 16 = 0. What is the nearest to k in -0.07, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4, 60*s = 58*s - 2*c + 2. Let z(x) be the second derivative of 13\/3*x**3 - 16*x + 0 - 35\/2*x**s. What is the derivative of z(h) wrt h?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from cskkrrsssrcksessr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18798496.2s in days?\nAnswer: 217.5751875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21, -112\/331, 0.5 in descending order.\nAnswer: 4, 0.5, -112\/331, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 38. Let p be (18\/(-30))\/((-3)\/90). Is 5 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1247316*l + 372953 with respect to l.\nAnswer: -1247316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663, -1335, -2007, -2679?\nAnswer: -3351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 - (-11 - 5 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 4:36 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a meter in millimeters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12*m - 30551 = -11*m, m = -3*y + 30559. List the prime factors of y.\nAnswer: 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v + 0*v)*(11 - 1 + 2).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - j**2 - j + 1. Let n be d(1). Suppose -18 = n*r + 34. Is 57070\/r*2\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 4*s - 12. Let i be y(3). What is the greatest common divisor of 30 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(1300) + 4 + 5)**2.\nAnswer: 200*sqrt(13) + 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 28458\/5, -10.8, -8 in descending order.\nAnswer: 28458\/5, -2\/9, -8, -10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1461 - -1460.9. Put 4, o, 1\/4, -1\/24, -5 in decreasing order.\nAnswer: 4, 1\/4, -1\/24, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:30 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8403424 is divided by 147428.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -206559744 divided by -2320896\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Let f(j) = 11*j**2 + 2*j - 1. Let h be f(-3). Suppose h = r*v + v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3305*o**2. Let i(m) = m**2. Calculate i(p(f)).\nAnswer: 10923025*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and 31\/1442.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Is 2*((-214)\/(-4) - b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -9 + -17 + 30 + -87\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -915237 or -914961?\nAnswer: -915237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -1\/4*c**2 - 5*c + 0 + 1\/6*c**3 - 1\/24*c**4. Let l(h) = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31*m + 3. Let z(b) = -35*b + 3. Calculate 5*h(n) - 6*z(n).\nAnswer: 55*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + c = 52, 4*b - 5*c - 22916 = -22864 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43950918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-25 + 16 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 39. Suppose 2*b = -4, -21 = 2*o - 2*b + 17. Let s = g + o. Solve 0 = -3*a + a + s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**3 - 36 + 5*n**3 + 5*n**2 + 5*n**3 + 42 - 5*n. Let m = 3 - 9. Let c be r(m). Solve y - 2*v - 10 = 0, -4*y + v + 5 = -c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 60, 12, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 7*u - 4*u. Let t = 11 - u. Solve -n + t*n = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 16625480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 1, t: 8, q: 2, z: 3, w: 2}. What is prob of picking 3 c and 1 w?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000057401 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 4) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4\/17 - 28*k**3\/17 + 194*k**2\/17 + 1708*k\/17 + 144 = 0.\nAnswer: -17, -4, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*f + f + 51 = 0, 0 = 3*q - 4*f - 197. Let u = q + 456. What are the prime factors of u?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000287 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -2*(sqrt(88) + -5*sqrt(88) + sqrt(88) + sqrt(88)))*-1)\/((sqrt(72) - (sqrt(72) + (sqrt(72) + 5*sqrt(72))*-4))\/sqrt(9)).\nAnswer: -5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -132*v + 11. Let t be (-30)\/25*(-4 - 44\/(-6)). Is b(t) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254689 >= 254721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572.55 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6079, 12014, 17883, 23686?\nAnswer: 29423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 + 5*y**3 - 6 + 0 + 2.\nAnswer: 16*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 20*y - 19. Let h be f(19). Suppose h = 81*k - 77*k + 72. Is k\/(-6)*8997\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 5*t**3 + 4*t**3 + 2543 - t - 2667 as i*t + q*t**3 + m*t**2 + d and give d.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 5*v + 4*y, 3*v - 5*y + 6 = 106. Suppose -5*m = -3*m - 84. Suppose -3 = 3*i, -4*i - m = 4*w - 270. Calculate the remainder when w is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2539434725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 18 = 2*y. Suppose 0 = 2*p + p - 3. Solve -y*g - p = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61045531 is divided by 161070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7320815, -7320816, -7320831, -7320866, -7320927, -7321020?\n\"Answer: -c**3 - c**2 + 9*c - 7320822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*4\/8*-3*(-30)\/(-504)*-80.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-780)*(-10)\/4)\/(-1)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, -g - 3*n - 7 + 0 = 0. Let z be g\/(21\/(-12)) + -2. Find the third derivative of -20*i**6 + 6*i**6 + 8*i**6 - 6*i**z wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/3))**50\/(k**6*k*k**1*k))\/((k\/k**(-1))**(-9)*(k\/(k*k**(2\/15)))\/k*k\/((k**(2\/9)\/k)\/k)) assuming k is positive.\nAnswer: k**(1081\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a - 118. Let t be 0 + (-350)\/a + -3. Are 0 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0065 (b) -3\/4 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268 and 28691276?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, -28, -0.3, -13\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -10 + (-1 - 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -179. What is the remainder when h is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) 0.15 (c) 22\/61 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 3:01 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - -1)*3\/6. Suppose 4*a - 4*t + h*t - 14 = 0, a + t = 1. Solve -1 = 2*l - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*v + 144, 3*q + v = 18*v + 170*v - 5809 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7e (base 16) to base 3.\nAnswer: 11000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50368.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 250300?\nAnswer: 250300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/3)\/(18\/(-27)). Solve -3*t - s = 5*r, -r - 5*t + 0*t + 3 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 10*z - 19. Give u(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**3*a)\/a)\/(((a**(2\/17)\/a)\/a*a)\/a))**(-2\/3))**(1\/41) assuming a is positive.\nAnswer: a**(-200\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 3:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/((-2)\/(16\/54)). Which is the closest to 1\/3? (a) -1 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x**3 + 37*x**2 - 277*x - 1.\nAnswer: -30*x + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Let w be (1 + o)*10\/35. Determine i, given that -w*i + 2\/7*i**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*1\/((-1666)\/28)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(p - 5*p + 2*p) + 975*p + 11*p - 144*p.\nAnswer: 836*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2768974068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 428\/16 - 1\/(-4). Let g = i + -13. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 32*g**3 + 221*g**2 + 578*g = 0. What is g?\nAnswer: -2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4708 + 7*t + 3*t - 8*t.\nAnswer: 2*t + 4708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1823462, -3646927, -5470396, -7293869?\n\"Answer: -2*m**2 - 1823459*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*v + 0 + 5 = 162*v - 3*j, -4*v - 4*j = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11729669?\nAnswer: 7, 19, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 3, a: 6, l: 1, i: 7}. What is prob of sequence lacc?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1673*q**2*u**3 - 106*q**2 + 523*q + 23*u**3 wrt u?\nAnswer: -5019*q**2*u**2 + 69*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 4*g. Let h(y) = y. Let l(i) = -i**3 + 10*i**2 - i + 9. Let v be l(10). Let q(t) = v*p(t) - 4*h(t). Let a(b) = 20*b**2. Give a(q(f)).\nAnswer: 180*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -4, -14, -2, -1.5, -5.\nAnswer: -14, -5, -4, -2, -1.5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 84, 201 in descending order.\nAnswer: 201, 84, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3*n*u + 40*i**3 + i**2*n*u - i*n*u + i*n + u + 16 wrt i.\nAnswer: -18*i*n*u + 240*i + 2*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from bqrbbqbrqqqqb?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-2*4*sqrt(156))\/(sqrt(12)*-3*-5))**2)*-6.\nAnswer: -3464\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 8*l**4 + 8*l**4 + 2)*(1 - 36 - 19).\nAnswer: -702*l**4 - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -20. Suppose -q = -3*w + 8*w + 5, -2*w - q = 2. What is the remainder when h is divided by (-2)\/(-4)*(-12)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 4\/5*x**5 + 4*x + 0*x**4 - 8\/3*x**3 + 3 + 0*x**2. Suppose g(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00359 rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.123 + 35.877. Let j = 35.7 - i. Which is the nearest to 2? (a) j (b) 0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 + -4?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50.9 - 53.43. Round d to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.75 * -0.463.\nAnswer: -0.34725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157570 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*a = 32, 6*z + 4*a = 5*z + 17. Solve -2*k - z = -5*p, 4*k = p + 4*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 0*l**7 + 0*l + 1\/60*l**5 + 0 + 1\/168*l**8 + l**2 + 0*l**6 + 0*l**3 + 0*l**4. Find the third derivative of d(s) wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2279465*h**3 - 5042023 with respect to h.\nAnswer: -6838395*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -38*d + 234. What is z(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*a - 56 = -q + 130*a, 0 = -2*a. Solve -8*y - q + 88 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 29*u + 5*u**4 + 19 + 3*u - 2*u**4 - 6*u. Find the first derivative of o(w) wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20069749 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 = -2*q + 8*k, -q + 211 = 2*k + 256 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*w**2 + 4 + 4)*(-35 + 20*w + 50 - 19*w).\nAnswer: -2*w**3 - 30*w**2 + 5*w + 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52200 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*n + 435*n - 867*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0697 + 0.0361. Let m = 0.02838 + l. Round m to 4 dps.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204979165 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/64200 and -145\/13848?\nAnswer: 37043400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -644, -2595, -5848, -10403, -16260, -23419?\n\"Answer: -651*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679432243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131580120*t + 181685007.\nAnswer: 131580120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.7087 + -32.012. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9685 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let y(g) be the second derivative of -4*g + 0*g**3 + 1\/12*g**4 + 8 - 77*g**2. What is k(y(r))?\nAnswer: r**2 - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a**2 - 91*a + 18. Let s be f(10). Solve s*u = u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*m - 35 = -4*m, 3*w - 21 = m. Let o(s) = 7*s**3 - 16*s**2 + 3*s + 4. What is the remainder when w is divided by o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 3*c + 3*c + (-2 - 1 - 3)*(-2*c + 0 + 0) as h*c + d and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*(o\/o**(-18))\/o))*o)**(-6\/5)\/(o**(-29)\/(o\/(o*o**14))))**4 assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2411 - 1047. Let c = -749 + a. List the prime factors of c.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-42)*693\/(-55)*(-10)\/(-12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163456583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*m**3 - 63*m**3 + 158*m**3 - 26 - 24*m**3 + 26.\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7128*b + 7129*b - 18 = 2*m, 4*m + 3*b - 22 = 6*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*i - 1780 = 67*i - 12*i + 1164 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (2 - (-14 - -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10+210\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -125.5\nAnswer: 87.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803044292 to the power of 1\/2, to the nearest integer?\nAnswer: 69304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4317 + -4321. Which is the third smallest value? (a) i (b) -5 (c) 1 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -28. Let n(w) be the third derivative of -2*w**2 + 1\/60*w**5 + 0 + 2\/3*w**3 + 1\/6*w**4 + y*w. Factor n(b).\nAnswer: (b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 338*q - 333*q - 5*c, 5*q = 2*c - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-3) - 3\/(6\/(-4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 5147 + 5266 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 - (-2)\/5. Let p = -112.1 - -117.1. Which is the closest to h? (a) p (b) -8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 + 5*o + 8. Let p be q(6). Let n(r) = -6*r + 57. Let m be n(9). Suppose -h - 4*a + 13 = -12, 2*h = 2*a + 10. Solve -h = -p*g - m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tff when three letters picked without replacement from fvttvffftt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(6\/13))\/w**(-2\/7) assuming w is positive.\nAnswer: w**(159\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 5.4088 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 9. Suppose r - 7 = 2*y, -19 + k = -4*r + 5*y. Sort 2, 10, r in descending order.\nAnswer: 10, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + 5*a**2 - 6*a - 12. Let u(w) = -11*w**3 + 16*w**2 - 18*w - 35. Let v(k) = -3*u(k) + 8*x(k). Suppose -63 = -6*t - 3*t. Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/z)\/z**(-2\/5))**(-31) assuming z is positive.\nAnswer: z**(403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + 148 + (0 - (-9 - -1)) - -12.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95505 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 + g - 1. Let v be y(-1). Suppose -3*i + 2 = -2*l, 2*l = v*i - 1 - 1. Suppose -3*o = -2*s + 967, i = 2*s + 5*o - 169 - 774. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + 0.1. Let s = 0.28 - -0.4. Let a = m + s. Round a to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5. Is b equal to -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*r - 19 + 3, 2*n + 10 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t**2 + 52*t + 76. Give z(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42935 - 15438. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwaaappwyafyppp. What is prob of picking 1 y and 1 f?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -186230, -186553, -186874, -187193, -187510?\n\"Answer: r**2 - 326*r - 185905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-33)\/55*2*76\/24.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -1.3. Let f(l) = l**3 + 16*l**2 - l + 2. Let w be f(-16). Let j = w - 23. Put j, i, -2\/11 in decreasing order.\nAnswer: i, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 1. What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3 + 177*k**2 + 2697*k + 2523 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0090743 rounded to 4 dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4\/7 - 132*o**3\/7 + 54*o**2 - 372*o\/7 + 123\/7 = 0 for o.\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 0*s - 4*s)*(187*s - 30*s + 149*s)*(3 + 1 - 3) as g*s**2 + h*s + w and give g.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 13*m - 927. Let g be m + (-8 + -4)\/(-4). What is the tens digit of g - (1 - (-9)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/(n\/(n\/(n*n*n**(2\/7))))*(n\/(n\/n**(1\/3)))**(2\/51)*(n**14\/((n*n**0)\/n))**35 assuming n is positive.\nAnswer: n**(527711\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**5 - 38*f + 0*f**4 - 1\/6*f**3 - 1\/15*f**6 + 0 - 23*f**2. Find the first derivative of n(u) wrt u.\nAnswer: -8*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47140 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112375?\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/207 + -14753\/828. What is the common denominator of j and 101\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1268 divided by 1\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392546*h - 392553*h + 1177643*h + 0 + 0 - 392540*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 933385.5cm in micrometers?\nAnswer: 9333855000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32332300 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -86, 15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - q**2)*(-12*q + q + 3*q)*(5 + 9 + 6) + (q**3 + 2*q**3 - 4*q**3)*(2 + 1 - 1) + (-2*q + 2 - 2)*(-3*q - 2*q**2 + 3*q).\nAnswer: 162*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 3*o - 1, -7*o = 5*n - 3*o - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55386236515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -13. Let k = -9 - w. Let m be (-4 - -3)*(-4 + 0). Solve k = -2*q + m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 82.5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-14) - 28\/(-49). Let r be (-20)\/(-16) - 2\/d. Determine o, given that 0 - r*o**2 - 1\/2*o**4 - 3\/4*o**3 + 0*o = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.5, 2, -0.4, 0.13, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (8 - (17 + -7 + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/14)\/((-1)\/(-6)). Suppose 3*v = -4*y + 18, -2*v = -z*y - 3*v + 11. Solve -2*u + 5 = 5*i - u, -y*i + 3 = 5*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h*v**3 + 5797*h*v - 4405*v**3 wrt h.\nAnswer: -2*v**3 + 5797*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/51 and -95\/468?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 26 = -5*g - 5*j, 4*g - 2*j = 4. What is the derivative of -741 - h**4 - 23*h**g - h**4 + 779 wrt h?\nAnswer: -8*h**3 - 69*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-154*g + 71*g - 743*g - 555*g)*(-31 - 25 - 29) as a*g + b and give a.\nAnswer: 117385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 + 3*t + 1. What is f(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 2*z**2 + 2*z + 1. Let b = -18 + -28. Suppose 5*d = 6*d - 44. Let w = d + b. Determine p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 22*p**2 - 505*p - 3078. Give c(-5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 + 88055*k**2 - 1583370*k = 0. Calculate k.\nAnswer: 0, 18, 17593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-12) - 2\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*g - 16 = u + 66*g, -5*u = -3*g - 5. Let a = 15 - -15. Find the second derivative of a*r**u + 8*r + 4*r**5 - 30*r**4 wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*o**3 + 1188 - 591 - 425*o**3 - 597 + 223*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18284254200 rounded to the nearest 1000000?\nAnswer: -18284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.89 + -1.59. Let w = l - 23.3. Is w greater than 403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from etottoeee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -d + 11. Let x = -28 - -48. Calculate the remainder when d is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, 0, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6080595*d**4 + 7383922*d.\nAnswer: 72967140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 520898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.83 - -10.13. Let l = q + -3.3. What is the closest to -6\/11 in l, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from cccjj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m**(-4)*((m*m**(-1\/4)*m)\/m)**(-6))\/((m*m**0)**(-31)*(m**(-2\/9)\/m*m)\/((m\/(m**(2\/3)\/m*m*m))\/m)) assuming m is positive.\nAnswer: m**(415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m - 133. Give z(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84645.51 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**2\/2 + q - 257. Let r(a) be the third derivative of a**4\/2 + 4*a**3\/3 + 3*a**2. What is r(p) - 8*y(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from xxxrxrxrxr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -116892 divided by 165\nAnswer: -38964\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0*z**2 + 3*z - z**2 - 8*z. Let q be b(-4). Suppose -4*w - 2*m = -q*m - 264, m - 4 = 0. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.821896 centuries in millennia?\nAnswer: 0.0821896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302214425 (base 6) in base 3?\nAnswer: 100200122111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 3 - y - 5 + ((-2 + 3 + 1)*(-5 - 8 + 2) - 4 - 1 + 4)*(-3 + 3 - 2*y).\nAnswer: 43*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 5*x - 47850 = 0. Let j = -2347 + x. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374b66 (base 15) in base 3?\nAnswer: 11222120011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 15 (c) -1728\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 170 in -2\/7, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(128) + -2)*-3)**2 - sqrt(128)) + (sqrt(128)*3 - sqrt(128)) + -2)*-4.\nAnswer: -9488 + 2240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1013479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a + 122. Let z be i(-22). Calculate the highest common divisor of 92 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 56*u**2 - 436*u + 1064.\nAnswer: 4*(u - 19)*(u - 2)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 780*z**3 - z + 436*z**3 - 282*z**2 + 282*z**2 - 1188*z**3.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 456 - 431, y - 4*t - 2577 = 0. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12130?\nAnswer: 2, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6761\/10 - 442948\/655. Find the common denominator of j and -117\/10.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(117))**2*-2.\nAnswer: -5850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + i + 2)*(252442 - 503541 + 251969) to the form d*i + a and give d.\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {y: 4, t: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/5, -130\/17, -2, -4, 29?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23493000 rounded to the nearest one hundred thousand?\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-85)\/(-15) + 6\/(-9). Solve i = 3*x + 2*y, x + 4*y - 2 = 3*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58\/3 of a year?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*r - 5*r + 10, -5*k = -5*r + 25. Suppose k*n = n - 5. Suppose 5*z = z + n*b - 11, 0 = 3*z + 2*b - 9. Is 3\/38 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-6)\/t)*t)**(-11\/4) assuming t is positive.\nAnswer: t**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/8 - (5 + -9)) + (-427)\/28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 903473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 28*o + 95. Let l be d(-24). Let z be (-124*5\/(-20))\/(l\/(-7)). Round z to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 4117.\nAnswer: 72\/4117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 10*g + 5. Let o(n) be the second derivative of -n**4\/12 + n**3\/6 - n**2\/2 - 1514*n + 1. Calculate -h(x) - 4*o(x).\nAnswer: -2*x**2 + 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10051031 - 0?\nAnswer: 10051031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10543919.\nAnswer: 89, 118471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13805.\nAnswer: 5, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -380 + 151. Which is bigger: -228 or g?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7154 - 1869 = -616*x - 399 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 - 3 = -3*m, -4*m - 5*b = 10. Let d(v) be the first derivative of 1\/2*v**4 + 2 + 0*v**3 + 3*v + m*v**2. Differentiate d(j) with respect to j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from vdddddddddvdd?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79908, -154945, -229990, -305049, -380128, -455233, -530370, -605545?\nAnswer: -680764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 112.71 and 141?\nAnswer: 28.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -14. Let b = -16 + p. Let d be b\/(-14) - 14\/(-4). Solve -3*w + d*u = -9, 0 = -2*w + u + 4*u + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5\/8 + 84573*l**4\/8 + 761337*l**3\/8 + 1776543*l**2\/8 + 803691*l\/4 + 63450 = 0.\nAnswer: -6, -1, 28200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159520205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.72927, -1\/2, 0.56, 0.1 in ascending order.\nAnswer: -1\/2, 0.1, 0.56, 1.72927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 437 + -1\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33241 from 29.4.\nAnswer: -33211.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -90. Let c = -40 + b. Solve 3*t + 0*t + 12 = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.36 in 1\/5, 1\/6, 3, -1\/2, 11443, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/35)\/(3\/(-20))*(-37)\/(-41440)*60?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-39)\/u*u*u)*u)**(-1\/11)*((u**(-20\/9)*u*u*u)\/u)**(-11\/9) assuming u is positive.\nAnswer: u**(-3079\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnqq when four letters picked without replacement from {m: 3, t: 1, n: 3, q: 8, b: 2, o: 1}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046847 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18052 divided by -2.\nAnswer: 9026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**3\/3 + 11*h**2\/2 - 5*h + 6. Let d(s) = s**2 + 6*s - 3. Give -3*c(g) + 5*d(g).\nAnswer: 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8790787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 0*h**2)*(0*h**3 + 3*h**3 - 4*h**3) - 5*h**2 + 52*h**5 + h + 34*h**4 + 3*h**2 - 54*h**5.\nAnswer: -h**5 + 34*h**4 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19475445 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 8 - 38 - 160 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -8. Suppose 2*i + 0 - 24 = -w*b, -3*b + 24 = 3*i. Suppose -i*d = -9*d + 20. Solve -5*z + 3*z = -d*h - 14, 20 = 5*z - 5*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**30)\/u*u))**(-1\/19)*u*((u*u\/(u*u*u**48*u)*u)\/u)\/u*u\/(u\/(u\/(u\/u**(27\/2))))*u assuming u is positive.\nAnswer: u**(-1251\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 152. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -159\/11150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 + y**4\/2 - 2*y**3\/3 - y**2\/2 + y. Let s be m(5). Solve 2*q = s*c + 22, -7 = 4*c + 4*q - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1614*s. Let t(w) = -5*w**2. Calculate l(t(x)).\nAnswer: -8070*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a - 10. Let h be ((-1)\/a)\/(1\/22). Suppose -10*p + h*p = 3. Solve 0 = -p*l + l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24999 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 2*k - 2*k)*(-12 - 39 + 17)*(-2*k - k + 2*k).\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(56) - sqrt(14))\/sqrt(2)*1 + sqrt(1008) + 2 + 4)**2 + 5.\nAnswer: 156*sqrt(7) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 9. Let w(r) = 4*r. Give b(w(y)).\nAnswer: -16*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - v + v + (-1 + 1 - 2*v)*(-4*v**2 - 3*v**2 + 5*v**2) + 0*v**3 - v**3 + 0*v**3 + v**3 - v**3 - v**3 + (5*v - 3*v - 4*v)*(6*v**2 + 0 + 0).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118654, -237311, -355968?\nAnswer: -474625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.78 and -406615?\nAnswer: -3570079.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144157 is divided by 1076?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 2. Let y be u(2). Suppose p - 62 = 2*m - 58, 4*m + 5*p - 20 = 0. Suppose 2*z = -y, -5*n - 3*z + 0*z + 5012 = m. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(14\/9))**(-48)\/((t**17\/t)\/t)**(8\/3) assuming t is positive.\nAnswer: t**(-344\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-486)\/48 + 5. Sort -0.3, 12, n.\nAnswer: -0.3, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.11. Let n = 119.73 + -119. Let w = z + n. What is w rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201112200102101 - 12?\nAnswer: 101201112200102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 797005 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 14*s**4 - 5*s**2 - 5*s - 6. Let z(u) = u**2 + u. Let f(t) = r(t) + 5*z(t). What is the first derivative of f(n) wrt n?\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-175))\/(22\/(-5775))*1\/(-2)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2. Let f(i) be the first derivative of 1\/3*i**3 + 0*i - 6 + 0*i**2. Give w(f(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9571 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j. Let f(o) = -o**2 + o + 12. Let k be f(j). Suppose -v + 6*r - k = r, 0 = v + 5*r - 18. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*124457\nAnswer: 62228.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-25))**(6\/25)*(c\/c**(-28))**(1\/9) assuming c is positive.\nAnswer: c**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -194*g - 906. What is t(-5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -3.3 (c) 1352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -951\nAnswer: 760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 7*y - 2. What is v(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002011 - -221?\nAnswer: -10001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = y - 5*w + 7, 5*y - 9 = 2*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 2*n**2 + 6*n + 14. Let x be j(-2). Let f(g) = x*g - 4*g + 7*g. Let c(k) = -k**2. What is c(f(v))?\nAnswer: -169*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/36 + 2*d**3\/3 + 15*d**2\/2 + 5225*d. Factor w(h).\nAnswer: -(h - 15)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 7*x + 11 - 17)*(-2 + 0 + 5 + (-4 + 0 + 3)*(-3 - 1 + 3)) - 2*x + 5*x - 2*x as y + v*x and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.70224108 rounded to two dps?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2595 or -2500?\nAnswer: -2500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.65 and -1102.\nAnswer: -716.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -159 - 33. Let d = z - -44. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 + 24 = 4*h, r - 18*h = -124. Solve 19*c + 21 = -r*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {d: 1, y: 10, u: 1, r: 4, x: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (38634\/1880)\/137 - (-266)\/(-440)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r - 3 = 94*r + 6 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:31 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 121.\nAnswer: -9.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4888 and 82264?\nAnswer: 3866408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 21*s**2 - 101*s - 2. Let d be k(5). Suppose 0 = -21*r + d*r + 71661. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g. Let l be v(-1). Let s be (-3)\/(-2)*(-1 - (-33)\/9). What is the fourth biggest value in 0.1, l, 2\/3, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (6 - 3) + -1 - 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 516 + -361. Let i = -85 + j. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11410\/6846)\/(3\/(468\/(-10))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 3*b - 1\/30*b**5 + 0*b**2 + 1\/36*b**4 + 0*b**3 + 1\/90*b**6 + 0. Let z(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 5456*t**2 - 316324*t - 2095224.\nAnswer: -4*(t - 1303)*(t - 67)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qbbqqqbqbqu.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011100000001 (base 2) to base 5.\nAnswer: -142024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66672 and 2.\nAnswer: 66672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/9 - 46*f**3\/9 - 104*f**2\/3 - 440*f\/9 + 800\/9 = 0 for f.\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -234798, -469619, -704474, -939381, -1174358, -1409423, -1644594?\n\"Answer: -3*t**3 + t**2 - 234803*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -11481 (b) -1\/2 (c) -5 (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 12*i + 5. Let l be a(6). Suppose l*y + 3*h = 51, -y - 4*h - 72 = -6*y. What is the highest common factor of 108 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3) - 179470\/(-66993)\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(68)\/sqrt(4)) + -1)*5*4 - (5*-2*sqrt(153))\/(1*sqrt(1089)).\nAnswer: -20 + 10*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -1848 + 506. Suppose 3*r = -57*h + s*h - 323, 4 = -4*r. What is the highest common divisor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-3*-6)\/((sqrt(121) + (-3*sqrt(121) - sqrt(121)))\/sqrt(11)))\/((-2*sqrt(24)*-2)\/(3*sqrt(100))).\nAnswer: -45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3390 at most -3392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 + 1052*r**2 - 388925*r\/4 + 4543913\/2.\nAnswer: -(r - 4114)*(r - 47)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/31))\/(y\/(y*((y\/y**(2\/3)*y)\/y)\/y*y*y)*y)*(y*y*y\/(y\/(y**(-4)*y)))**(-25) assuming y is positive.\nAnswer: y**(2443\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 41 - 43. Suppose 3*n + m = -1 + 2, 0 = b*n + 3*m + 4. Let y(d) = 12*d**2 - d + 1. What is y(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575165750 smaller than 1575165750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(204) - sqrt(204))*2)\/(sqrt(588)*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -9\/2 + 35\/8*k**2 - 5\/8*k**4 + 1\/4*k**5 - 5\/2*k**3 + 15\/2*k = 0.\nAnswer: -2, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 27, 45, 73, 111?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/14, -2\/7, 0.2, 29, -9.5?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (-64 - 39) + (2 - -44).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 + 13?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15246, 15245, 15244, 15243, 15242?\nAnswer: 15241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -76. Suppose -r = q - 6*q. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 6*p**2 + 5. Let n be w(-6). Which is the nearest to 0.1? (a) -4 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-11) - -1*6\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let g(l) = 13*l**2 - 5*l - 16. Let b(x) = -g(x) - 6*k(x). Find the first derivative of b(q) wrt q.\nAnswer: -26*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.020097ng in kilograms?\nAnswer: 0.000000000001020097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.01518465, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 6*a - 608. Calculate the remainder when a is divided by (-98)\/(-5) - 2\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680505 is divided by 70.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9016714*r**2 + 9016681*r**2 - 18033401*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + (sqrt(304) - (sqrt(304) - (0 + -2*sqrt(304) + sqrt(304))))*2*3)**2 + -3.\nAnswer: -192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031433 (base 6) in base 11?\nAnswer: 35296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28524 at least -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + -5*sqrt(68)*-1))\/sqrt(576))**2 + 3 + ((sqrt(2057) - -4*-1*sqrt(2057) - sqrt(2057)) + sqrt(2057) + -6*sqrt(2057)*3)**2.\nAnswer: 130628585\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*f + 33, -q + 5 = 2*f + 2. Suppose -k = k + f. Does 13 divide k\/11 - 1656\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -6286660 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26a691 (base 11) to base 2\nAnswer: 1100111100010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40820, 81645, 122472, 163301?\n\"Answer: f**2 + 40822*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2272262 meters in millimeters?\nAnswer: 227.2262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 15. What is the common denominator of (-2 + 22\/9)*y and -131\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11730522)\/(-7204860)*1\/((-2)\/2). Let p = r - 1\/15395. Find the common denominator of p and 63\/22.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16096576.\nAnswer: 2, 163, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53.7 + -0.16496\nAnswer: 53.53504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 15*s = s. Solve -20 = -5*f, h = -s*h + f - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 68.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -801797 - 769215872.\nAnswer: -770017669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (966\/(-630))\/((-12)\/120) + -3 + (-2)\/(-3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.578 - 0.428. Let p = 0.1557 - 23.1557. Let g = p + d. What is g rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -140 (b) 0.11 (c) 0.5 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1\/6)\/((-1166)\/36729).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, 1 n, and 1 r when four letters picked without replacement from {n: 1, r: 2, m: 3, t: 3, l: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 21433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*g + 4, -4*r - r = g - 19. Suppose 15 + 15 = r*u. Suppose -4*k - 1 = -9, 5*k = 5*n - u. Sort n, 1\/4, -0.4 in ascending order.\nAnswer: -0.4, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.304 + -0.134. Let d = l + -0.17. Let r = 8 - 6. Which is the nearest to d? (a) r (b) 2\/13 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 10*y + 9. Let m be c(-10). Suppose -m = -4*g + g. Solve 0 = -t + 5*j + 6, g*t + 5*j - 4 = 6*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-10)*(-75)\/(-1935). Let w = f + 11207\/258. Find the common denominator of 2\/((-5)\/18 - 0) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 849 + -688. Calculate the remainder when k is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -171? (a) 9 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 551000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 6287432 and 37724591\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -47, -68, -89?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/21)*g\/(g\/g**17))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {i: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6765524 to two decimal places.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544933981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-51)\/(-24) - 2). Suppose -4*u = 4, u + h = -3*y + 5*u. Let c(z) = -z**3 - 3*z**2 - 2*z + 2. What is the units digit of c(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-29)\/((-783)\/(-432)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, 2, -138 in descending order.\nAnswer: 5, 2, 0, -5, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in -2\/33, 3, -3, -3\/5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 take away 217577?\nAnswer: -214761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1405670 and 3212960.\nAnswer: 22490720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 11*d**3 + 25*d**2 + 13*d.\nAnswer: -d*(d - 13)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, -1\/44, 3, 5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r*r)\/(r*r\/(r\/(r\/((r*(r*r**7)\/r)\/r*r)))))**20\/((r*r\/r**(-6))\/(r**(-6)\/r))**(-35) assuming r is positive.\nAnswer: r**805","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 317432.4ml?\nAnswer: 317.4324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7)**(-1\/3))**34 assuming n is positive.\nAnswer: n**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9441655 milligrams in tonnes?\nAnswer: 0.0000000009441655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.119 and -25247.18?\nAnswer: 3004.41442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-5)*x))\/x)\/x**(2\/5)*x**10*(x\/x**(-2\/23))\/x assuming x is positive.\nAnswer: x**(1459\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3951, -15737, -35381, -62883, -98243?\nAnswer: -141461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:28 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {o: 5, h: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 k when three letters picked without replacement from {f: 4, b: 2, y: 3, k: 2, e: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -176*q - 1074. Is 54 a factor of w(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7520, -7317, -7114, -6911, -6708, -6505?\n\"Answer: 203*c - 7723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/10 - 15*i**4\/4 - 11*i**3\/3 - 6*i - 3. What is the second derivative of b(u) wrt u?\nAnswer: 12*u - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -196 - -298. Does 34 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 5, -4 in descending order.\nAnswer: 11, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = -20. Suppose -5*c = -3*x + 17 + 32, -2*x - 4*c + 18 = 0. Calculate the highest common divisor of i and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yyiyyyiyyyyiyyyy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 9\/(-3))\/((-8)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 16*r**2 - 14*r - 4. Let s be b(17). Let j(w) = -s*w - 48*w + 90*w. Let d(p) = -10*p**2. Determine d(j(y)).\nAnswer: -250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g - 3*g**3 - 2 - g**2 + g**3 + 10*g**2. Let i be l(8). What are the prime factors of i\/(3 - 7\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 + 3 = 0. Let m be (-3 + o\/3)\/2. Let k(z) be the third derivative of z**6\/40 + z**4\/24 + z**3\/6 + 2*z**2 - 14*z. What is k(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000133 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 37. Let c = 163 - 161. What is the closest to c in -2\/11, t, -4\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 u when three letters picked without replacement from {u: 4, a: 1, d: 1, j: 1, s: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3700 - v + 11106 - 3703 - 3703.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o**2 + 14*o - 11. Let d(m) = -35*m**2 + 3*m - 5. Let l(g) = -77*g**2 + 5*g - 10. Let h(a) = -9*d(a) + 4*l(a). Calculate 13*h(q) + 6*i(q).\nAnswer: q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 22, 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6894.4 to the nearest one hundred.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from mmmn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((734845\/(-118))\/235)\/(2\/4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 * 4\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 948237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:11 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o**2 - 1\/15*o**5 + 0*o**4 - 1\/3*o + 2\/9*o**3 - 3. Suppose m(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 40117679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6261306.955 to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1295 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0 (c) -0.1 (d) 0.8 (e) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 10181853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/160 and 59\/4?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 + -1)*(-2)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 17. Let v(o) = -14. Calculate -3*j(t) + 4*v(t).\nAnswer: 6*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -414 + 0*p - 5*p + 790 - 376. Let f(n) = -5*n**2 - 303*n. Determine a(f(s)).\nAnswer: 25*s**2 + 1515*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6 + (50\/(-60))\/((-8)\/(-16))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 209*r + 214*r - 23155 = 0 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k. Let n = 18 + -16. Let l(s) = -4 + 0 - 2*s**n + 4. Determine r(l(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -4 (c) 0.2 (d) 11\/5 (e) 437\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 - 126. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375948 is divided by 13924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 122, 230, 430, 752, 1226, 1882?\nAnswer: 2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2479*i. Let u(m) = 7*m**2 + 13*m. Calculate u(b(x)).\nAnswer: 43018087*x**2 - 32227*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -450, 0, 0.5 in increasing order.\nAnswer: -450, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 40*h - 1920. Determine a(47).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Let x be v(3). Let k be (1 - x) + 1 + 2. Suppose -8*r + 3*r - 10 = 0, -2*c + 10 = -r. Solve -k*w + c = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -103. Put 5, b, 4, -7 in descending order.\nAnswer: 5, 4, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/216 and 149\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498\/332*((-8)\/(-3))\/((-2)\/(0 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:14 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = 0. Let p(a) be the third derivative of 0*a**3 + a**2 + x*a + 0 - 1\/8*a**4. Let j(v) = -2*v. Give p(j(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) 2\/13 (d) -7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 2. Let l be y(0). Solve l*h - 9 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -666.263874 - -674.96786641. Let s = y - 12.90399208. Let q = 4.2 + s. Round q to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-6) - -6)*(-50)\/40.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2298\/610 - 105\/((-22575)\/(-172))) + -6 + 3?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 332.821 to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/((-38)\/57). Which is the second biggest value? (a) -0.4 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 - 2888*n**2 + 6974*n**2 - 4*n + 3*n + 2*n**3 - 3504*n**2 in the form j*n**4 + p*n**3 + f*n + o*n**2 + y and give o.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 9. Suppose -7*v + 152 = -y*v. Suppose -38 - v = -4*a. What is the highest common divisor of 171 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -86 - -66 - (6\/(-2) + 1). Put h, 3, -5 in descending order.\nAnswer: 3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(-2 - (-25)\/11) and 1\/(-1 + 2)*(-68)\/(-36).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3916*n + 3781*n - 1188 = 837 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1723*f**3 + 3444*f**3 - 1722*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 4, 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*z - 5, -3*z = -n + 5*n + 3. Let r(q) = q**3 - q**2 + q - 7. Determine r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(2 - 3 + 3)*(20*b - 22*b + 47*b)*(2*b - b - 4*b).\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -402447*i**3*y**2 - i**2*y**2 - i**2*y - 2*i**2 + 5290 wrt i?\nAnswer: -2414682*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 85 (c) 2\/13 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*o + 13640 + 1703 = -24088 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 121*r + 474, -49*p - 57*p - 18 = 2*r - 104*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 102933*l + 102934.\nAnswer: -(l - 102934)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w*w\/w**(-2\/5)))**(-21))**(-37) assuming w is positive.\nAnswer: w**(-13209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**3 + 3*h**2 - 3*h. Let a(i) = 189*i + 205. Let x be a(-1). Let k(j) = 36*j**3 + 16*j**2 - 16*j. What is x*c(n) - 3*k(n)?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 58 = -c + 2*t, 5 = 5*t. Which is greater: -72\/5 or c?\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -26 + 26 - 10*k. Let p(h) = h**2 - 10*h + 28. Let n be p(6). Let g(f) = -3. Let s(v) = v + 4. Let y(z) = n*g(z) + 3*s(z). What is o(y(j))?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(0*x - x + 4*x) + 3*x + x - x + x - 3*x - 3*x + 4*x - 5*x + 3*x + (0 - 1 + 0)*(5*x - 3*x - x) + 5 - 5 - x in the form h + q*x and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704269504 to the power of 1\/2, to the nearest integer?\nAnswer: 26538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -359.1, 0.03, -19, 0.01 in increasing order.\nAnswer: -359.1, -19, 0.01, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.125 - 771\nAnswer: -770.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 26 - 49 = 0. What is the third derivative of -5 + 96*l**4 - 11 - 96*l**4 - 7 + 2*l**2 + 176*l**r wrt l?\nAnswer: 10560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**4 + 2*q**3 - q**2. Let m(u) = -413*u**4 + 6*u**3 - 3*u**2 + 418. Let i(l) = 3*j(l) - m(l). What is the derivative of i(a) wrt a?\nAnswer: 1676*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -22. Suppose -2*y = -2*k + k - 3, -15 = -y + 5*k. Suppose y = -5*o + 2*o + 24. What is the smallest common multiple of a and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 829748647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 + 28*f + 16. Let t(s) = 9*s**2 - 56*s - 32. Let x(q) = 5*o(q) + 2*t(q). Let p be x(15). List the prime factors of (-1827)\/p*4\/6.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r - 5*u = 59*r - 79, 8*r = 2*r - 2*u + 172 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t**2 - t + 2. Let o be f(2). Let d(r) = -r + 2. Let x be d(6). Is x smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -z + 2, 0 = 5*z + 7 - 17. Suppose -m + 6*m + 3*f = 11, r = -m - 4*f - 8. Suppose m*k + k = 35. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 37 + 5 + -1 + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*16\/108)\/((-36)\/(-378))*55\/22?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 + -176. Solve -o + 4*o - x = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvlglo. Give prob of sequence ovg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116*a + 211*a + 385*a + 319*a)*(2 - 2 + a)*((1 + 3 - 1)*(0 + 0 + 2) - 3 + 2 - 1) to the form g*a + v*a**2 + h and give v.\nAnswer: 3196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 36 + -26 - 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/9 - 6\/(-27). Let b be ((-12)\/(-2))\/((-6)\/(-4)) + 121. Factor -64*f**3 - b*f - 66*f**3 + 125*f**c - 50*f**2.\nAnswer: -5*f*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g - 28. Suppose 0 = -4*s + g + 13. Let z(m) = -m**2 + s*m**2 - 3*m**2 + 0*m**2. What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 2, d: 2, q: 1, u: 2, k: 2}. What is prob of picking 2 o and 1 k?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 3, h: 1}. Give prob of sequence kq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85218670 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t. Suppose -2*r + 14 = -r. Let x(j) = j**2 - 2*j - 2. Let q(g) = -4*g**2 + 7*g + 7. Let i(n) = r*x(n) + 4*q(n). Give z(i(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 4*q. Let j be m(12). Let y = 39 - j. Calculate the greatest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/53 (b) 1\/5 (c) -3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 98, 149?\n\"Answer: 51*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4 + 62*v**3 + 200*v**2 + 136*v = 0.\nAnswer: -2, -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633952?\nAnswer: 2, 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 10*v**2 - 18*v + 25. Let h be g(-11). Let s = -67 + h. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565334843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/2, 3, -0.4, -2 in ascending order.\nAnswer: -2, -3\/2, -0.4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*u + 3*u + 42, 42 = 3*q + u. Let d = -11 + q. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2\/1 - 177\/177\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 7*q - 4701 + 18771 - 4700 - 4705 - 4665.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -28*n**2. Let f(c) = -5*c. Determine f(w(o)).\nAnswer: 140*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**2 + 125*z - 54. Let g be m(-13). Solve -2*x - g*s = -12*s - 1, 7 = 2*x - 3*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - sqrt(153)*4*4)\/(sqrt(72)\/sqrt(392)).\nAnswer: -105*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -205 and 41280.\nAnswer: -8462400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 33*t = -328. Suppose 22*y = t*y + 112. Let v(a) = 3*a**2 + 4*a + 3. What is the smallest common multiple of v(-3) and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -29*s**2 - 11. Let z(r) = -188*r**2 - 72. Give 32*w(k) - 5*z(k).\nAnswer: 12*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(11) + -4) + 3*sqrt(11)*4)**2.\nAnswer: -680*sqrt(11) + 3579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/140)*(45126\/(-483))\/109?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 1. Suppose 0 = -2*f - 9 - 7. Let c = 15 + f. Let i = 6 - c. Calculate x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5612, -14726, -23828, -32912, -41972?\nAnswer: -51002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x + 62. Let j be z(7). Let v be ((-2)\/75*-5)\/(1\/j). What is w in v*w**2 - 2\/5*w**5 + 2\/5*w + 0 + 0*w**3 - 4\/5*w**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 + 30531*b**2 - 5956866*b = 0. What is b?\nAnswer: 0, 199, 9978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2728?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3409 divided by 1\nAnswer: -3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-5)*2\/(-6). Let t = 0.428 + -1.428. Which is the nearest to t? (a) -1\/4 (b) g (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 0. Let z be d*(1 - 4\/3). What is the units digit of -2 + 0 + 1 + z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100114433 (base 5) to base 2\nAnswer: 1100000011011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001210221 (base 3) in base 9?\nAnswer: -161727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Let n(s) = 8*s**2 + 9*s + 9. Let g be (4\/6)\/((-1)\/6). Let m(a) = -a**2 - a - 1. Let p(i) = g*n(i) - 36*m(i). What is j(p(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -24. Let n(u) = -u**3 + 5*u**2 + 5*u + 2. Let x be n(6). Let h be (f\/x)\/(2\/(-2)). Put h, 3, -2 in descending order.\nAnswer: 3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b70 (base 13) in base 5?\nAnswer: 113042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + o = 88053, -59*m + 61*m - o - 44025 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 25, 42, 53, 52?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 230.135.\nAnswer: 230.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(x**2 + x**2 - x**2) - 4*x**2 + 2*x**2 + x**2 + (0*x - x + 3*x)*(-x + x - 2*x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 9. Let p = 1 - 1. Suppose p = -4*b + 218 - 46. Calculate the remainder when b is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-546))\/((-9)\/(-21)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 123, 180, 233, 282?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 38*m - 34*m - 89, 4 = -4*s. Solve -m*r = -9*r + 56 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 15302*s**2\/3.\nAnswer: s**2*(s + 15302)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/(10\/(-10))*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2663 + -2649. Solve -v*f - 129 = -157 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267262.\nAnswer: 2, 133631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 - 1. Let n(m) = -3*m**2 - 6. Let d(i) = l(i) - n(i). Let j be d(0). Solve 17 = -j*p - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 >= 896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*h - 0*h + 1, -2*h - s + 5 = 0. Suppose 5 = h*v + v. Let i be (v + (-1 - 1))*0. Solve 0*m + 4*m - 8 = i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, 2\/13, 2\/19, 3\/6709, -2\/21?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 21*y + 832*y**2 - 15*y + 27*y + y.\nAnswer: 832*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + 8*r)*((0 + 2 - 4)*(1 - r**3 - 1) + 81*r**2 - 81*r**2 + 2*r**3).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34853635 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 722023532 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 57936?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:42 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289586 is divided by 6598.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6510 = -8*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p - 14. Determine z(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 greater than or equal to 342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 663146 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 2*w**2 + 0*w**2)*(-1 + 5 - 3)*((1 - 1 + 2)*(2 - 2 - 2) - 2 + 10 + 1).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -81. Is u <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915092 is divided by 83187?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -15*h**3 - 5*h**2 + 114*h - 227. Give d(2).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136237 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 416*o - 4. Let a be q(-2). Let x = 418 + a. What is x rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((-39 - (-30 - 8)) + 0 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**4 + 67633*h**3 - 2060929*h wrt h?\nAnswer: 72*h**2 + 405798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4064, 8177, 12290?\n\"Answer: 4113*s - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - ((1 + sqrt(252) - sqrt(252)) + 0)**2) + (5 + sqrt(252) + -1)**2 + (4 + sqrt(252)*-2 - ((sqrt(252) + sqrt(252)*3)**2 + -5)).\nAnswer: -3756 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2. Let v(p) = -10*p**2 + 5*p - 5. Let a(k) = 5*k**2 - 3*k + 3. Let t(u) = -5*a(u) - 3*v(u). Give t(c(m)).\nAnswer: 80*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94137 is divided by 15232?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 180 = -3*l. Let y(i) = -9*i**2 + 7*i - 17*i + l*i. Let v(k) = 9*k**2. Calculate v(y(f)).\nAnswer: 729*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/7 - 163*m\/7 + 330\/7 = 0. What is m?\nAnswer: -165, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -55. Let w = -4 - y. Let d be (-1 - w\/(-2)) + 11\/2. Solve 4*k = 5*s + 29, 2*s + 3*k + 13 = d*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 - 94 - 14*i + 53)*(i**2 + 3 + 1 - 3) to a*i + z + p*i**2 + m*i**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/30 and -123\/22130.\nAnswer: 66390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q**2 - 2*q + 2479. Let v(b) = -b. Determine v(t(h)).\nAnswer: -11*h**2 + 2*h - 2479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 69. Let a = -50 + b. Find the common denominator of 5 - ((-466)\/a - 0) and 76\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -26. Let g be 2\/a + (-326699964)\/(-198). What is g rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/184*(-7)\/(-14)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + 8. Let b be (y - -4) + (8 - 1). Solve 0 = 5*l + b*r - 5, -3*l + 6 = -4*l - 2*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/2)\/v)**(-12))**(7\/9))**(-34) assuming v is positive.\nAnswer: v**(-476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1892, 6270, 18238, 41618, 80232, 137902?\n\"Answer: 637*i**3 - 27*i**2 + 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89\/4 - (-5)\/(-80)*4 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3093? (a) -4 (b) 38 (c) -1\/6 (d) 3 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0)**(-47)*x**(-3)*x\/x**(-11))**(-2) assuming x is positive.\nAnswer: x**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 2, q: 4, o: 3, l: 2}. Give prob of picking 1 x and 1 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let f = 77 - 72. Which is the third smallest value? (a) 0.2 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -449 + 539. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126367 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 45 - 12 - 14*g**2 + 9 in the form b + w*g + p*g**2 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 5*b**4\/12 + 100*b**3 + 9000*b**2 - 33*b. Find v such that r(v) = 0.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -3. Suppose -j*o + 4 = -1. Solve 2*f - 3 = -o, -4*f = 4*v - 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - t = 12, 9*u + t = 4*u - 16. Put 5, 3, u, -1 in descending order.\nAnswer: 5, 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 5 - (1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-378)\/(-19 + 12 + 89\/13)?\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001361 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1618848, -3237689, -4856530, -6475371?\n\"Answer: -1618841*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 10*m**2 - 16*m - 55*m**2.\nAnswer: -65*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103846248\/2471 - -42026. Is -1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -156 and -43493.\nAnswer: 6784908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5916227 to the nearest integer?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 75 = -2*h + 81, 3*b + 5 = 2*h. Suppose 0 = -m + 4. Let x be (-16)\/(-6) + 1\/3. Put x, 2, b, m in increasing order.\nAnswer: b, 2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 11\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose u - 3*q = 2*u - 96, 0 = -y*u + 5*q + 159. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-288)\/10*(-200)\/12.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 6 + 11*o - o**2 + o - 3*o. Let u be z(4). Suppose 2*k + 0*k = -y, u*y - 4*k - 24 = 0. Calculate the greatest common factor of 66 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -193507602*q. Let u(t) = 2*t**2. Calculate u(d(x)).\nAnswer: 74890384063580808*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 66?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-21))\/((-2)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.364366863 take away 106?\nAnswer: -106.364366863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let a be 1*b\/2*0. Is 80 - (a + -2) - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + (-2 - -3) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*n**2 + 3126*b**2*v**3 - 2*b**2*v**2 + 27*b*n**2*v**3 - 16*b*n**2*v - 6*b*n*v**2 - 286*n*v**2 + 2 wrt v.\nAnswer: 18756*b**2 + 162*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4072323ng?\nAnswer: 0.0000000004072323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/13*n**2 + 2\/13*n**4 - 54\/13 + 0*n - 16\/13*n**3.\nAnswer: 2*(n - 3)**3*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 50*z - 52*z. Let u(o) = 6*o**2 - 11*o + 14. Let l(n) = 2*n**2 - 4*n + 5. Let r(j) = -17*l(j) + 6*u(j). What is the units digit of r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 11*w - 7. Differentiate -103 - 37 + 8 - 74*m**3 + 21*m**w with respect to m.\nAnswer: -159*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885097379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - g**5 - g**5 - 3*g**5 - g**5 + 3*g**5 + (2*g**4 - 6*g**4 + 2*g**4)*(-1 + 2*g + 1) + g**5 + 3*g - 3*g.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from fmxxxmxxnmxxxhxxhhn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 76. Let l = -15 - q. Suppose -4*d - 5*d + 270 = l. Calculate the least common multiple of 21 and d.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-13\/5))\/((j*j\/(j**17\/j))\/j))\/(j\/j**(1\/7)*j**(2\/119)))**(-33\/4) assuming j is positive.\nAnswer: j**(-348051\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 - -4. Let b = 0.0577 - -4.3223. Let o = -0.38 + b. What is the closest to -2 in o, d, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -1.16, 4, 1822\/3.\nAnswer: -1.16, 3, 4, 18, 1822\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -18 + 0 + 5 + -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1971 + 1970.8181. Round v to 3 dps.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 g when four letters picked without replacement from {j: 2, g: 9}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6867907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, f: 9}. Give prob of sequence vff.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8*b - 5*b + 5, -7 = -3*j - b. Let c be (-3 + 7\/j)*-96412. Let q = c + 25306. Round q to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11040\/(-1827) - -6 - (924\/15708 + 13\/357)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 49. Let s be g(11). Solve 3*c - 1 = -s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199520357, -399040710, -598561063, -798081416?\nAnswer: -997601769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-42) + 284\/14. Let x = -12 + b. Calculate the remainder when 14 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2343 + -2220?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 6*w - 5. Let f be x(5). Suppose 0 = 2*s + h + 5, -5*s + f*h + 5*h + 10 = 0. Let l(d) = 4*d**2. Give l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 4:23 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3799\/494 + 694\/247. Factor 9 + 3\/2*s**2 + f*s.\nAnswer: 3*(s + 1)*(s + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:05 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160414888 is divided by 20051861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + z + 5, 3*z + 2 = 5. Solve -2*o - 9 = 3*o + 3*w, -3*w + f = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 756?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/165 + (-141)\/(-45) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/a**(-7)))*a)\/((a*a**(1\/6))\/a)*a**(1\/4)*a*a**7 assuming a is positive.\nAnswer: a**(217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 3. Let n(h) = -8*h - 4. Let c(w) = -3*n(w) - 4*t(w). Suppose p - 20 = -3*p. Let m(x) = -p - 3*x**2 + 5. What is m(c(s))?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {s: 1, h: 4, o: 1, x: 6, a: 2, p: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004047 to seven decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95145, 190293, 285445, 380601, 475761, 570925?\nAnswer: 666093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -3*b + 4*i, 0 = -4*b - 3*i - 119 + 316. Is b + 2 - (2 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-180))\/((-66)\/594). Which is the closest to x? (a) -4\/5 (b) -2 (c) 8 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - k + 11 + 3)*(0*k**2 - k**2 - 2*k**2) as m*k + g*k**2 + j*k**3 + w and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 59. Let k = -1 - -0.95. What is the closest to c in k, 4\/3, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 = o, 5*z + 0*o - 3*o + 21 = 0. What is the closest to z in -1, -2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146368 is divided by 546?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 13*j**2 - 9*j - 8*j**2 + 9*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61120633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105299017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52600 - -2?\nAnswer: -52565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - n + 6582 = 0, -2*n - 6573 = -7*z + 4*z. Calculate the remainder when z is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1580 and 5530.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132859\/28270 - 1\/2827. Let z = -473 - -121. Let d = -753\/2 - z. Find the common denominator of d and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -31. Suppose 0 = -j - j + n. Suppose 7 - j = -2*v. Solve 2*t = -0*t + v*s - 5, 2*t - 4*s + 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 52*l - 97*l + 42*l = -11, -4*l + 44 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18239)\/2379)\/(35\/21))\/((-1)\/(-1)).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(75\/10) - 62\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 8*j + 3 + 2*j**4 + 8*j + 0*j - 5*j to k*j**3 + u*j**4 + q + a*j**2 + t*j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17736545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + (-1 - 10) + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {y: 5, l: 6, q: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 8*a + 11. Suppose 0 = -4*f + 6*f - 5*b + 27, -5*f - 30 = -5*b. Let x be f*1\/2 - 26\/4. Is p(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+-27646\nAnswer: -27648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -7*p**5\/20 - 5*p**4\/12 - 5*p**2\/2 - 25*p. Let y(k) = 8*k**3 + 6*k**2 + 6. Give 6*r(c) + 5*y(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*s = -13, s = 3 + 2. Let w = 0.6 + 2.4. Which is the closest to 1? (a) w (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5625 and 105?\nAnswer: 39375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1488)\/4464*(0 - (-482 + -1)) - 1)\/2.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3994 + 970 = -21*b. Calculate the highest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -806 (base 12) in base 13?\nAnswer: -6b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.7 - -0.3. Let i = -29 + 29.1. Let m = -70 - -71. Which is the closest to m? (a) i (b) k (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68813295?\nAnswer: 3, 5, 1033, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -267146, -534298, -801438, -1068560, -1335658, -1602726, -1869758, -2136748?\n\"Answer: i**3 - 267159*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260980 is divided by 26065?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2037120 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*a**2 + 2\/3*a**3 + 4\/3 - 2\/3*a = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - 13 = 3*x, z - 10 = 4*x. Let n be (-1 - 2)\/3*x. Suppose -5*c + 14 = -n*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 3*j - 19, 0 = -5*j - 25. Let n be (-960)\/(-1008) - (i + 14\/(-6)). Factor -6\/7*h - 3\/7*h**3 + n*h**2 + 0.\nAnswer: -3*h*(h - 2)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/5, -14, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 270\/(-24))*82\/533?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(65)*-1)\/(-5*3*sqrt(5)*4).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6363587 + -0.5.\nAnswer: 6363586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w + 355*w = 7128 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -43906*v - 834261. Give b(-19).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 33023033123?\nAnswer: 33023033132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 + 2*f**3)*(5*f - 5*f + f) - 20*f**4 - 8*f**4 - f**4 + (0*f + f - 2*f)*(-f**3 - f**2 + f**2).\nAnswer: -26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3 - 6*l**2 + 12*l - 32. Determine t so that y(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 13. What is the remainder when 23 is divided by a(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 712*x - 19. Let u(h) = -855*h + 20. Let y(z) = -5*u(z) - 6*v(z). Let a(i) be the second derivative of -i**3\/6 + i. Calculate y(a(s)).\nAnswer: -3*s + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -46*t**3 + 6*t**2 - 1. Let y(x) = x**3 - x**2. Let j(o) = -f(o) - 6*y(o). What is the tens digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5518603 is divided by 183953.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3703181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - g. Let z be l(-1). What is the remainder when ((-2)\/4)\/(z\/66) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 0 + 3 - 2 + 1. Let t be a(-10). Solve -4*g + 11 = -3*l, 2*g + 3*g - t = 2*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*h = 170*h - 750 + 11082 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/9 - 1005771224*v\/9 + 126446969378307272\/9 = 0. Calculate v.\nAnswer: 251442806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 25*q + 114296 = -27*q, -6 = -3*q. What is a rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-10)*45\/(-6). What is the remainder when 10 is divided by 3 + (-3)\/y*0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**7\/2520 - x**6\/360 + x**4\/12 + x. Let i(j) be the third derivative of t(j). Find the second derivative of i(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0654 * 0.08398.\nAnswer: -0.005492292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/5)\/(-2 - -4). Let u = 0.03 + -11.03. Let h = u + 9. What is the nearest to h in 0.2, k, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12551645*h**6 - 601914*h**2 + 2*h?\nAnswer: -1506197400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 + 5*n**2 + 17*n + 70. Is w(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10881009 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 376612019, 376612021, 376612023?\n\"Answer: 2*r + 376612017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 409699 - -0.49?\nAnswer: 409699.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5891 plus 10.083509?\nAnswer: 10.672609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o - 40 - 6 + 22 = 3*d + 59, -3*o - 4 = 2*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 12\/7)*-1. Suppose 4*q = 5*q. Suppose -20 = -5*c - q. Put r, -1, c in ascending order.\nAnswer: -1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/((-1)\/(-25)). Let h = 14 + t. Let q(k) = k**2 + k + 2. Let p(c) = c**2 + 2*c + 2. Determine h*q(i) - 3*p(i).\nAnswer: i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 106001?\nAnswer: 636006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6465, 6822, 7193, 7584, 8001, 8450, 8937?\n\"Answer: x**3 + x**2 + 347*x + 6116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477957915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((4 + -127)\/(-3) - 0) + 0. Let v(x) = -972*x - w - 972*x - x**2 + 1944*x. Let j(r) = 2*r. Calculate j(v(a)).\nAnswer: -2*a**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((820\/(-41))\/660)\/((-220)\/(-120)).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f - 4. Let j be (-1)\/(-13)*-1*f. Let m = -167\/656 + 3\/656. What is the third smallest value in m, j, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 46*s - 45. Let t be r(3). Let x = 133 - t. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*i - 3*l + 11, -3*l - 19 = -2*i. Suppose -2*p + t = -4*p - 12, 0 = 4*t - 16. Let x be (-34)\/p - (9\/4 + -2). Solve x*o + i = -11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 + -0.51. Let t = -0.016 + -0.734. Let g = t - -0.55. What is the third smallest value in g, k, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2 - (1 + -9 + 0) - 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 45 - 6 = 0. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37663 (base 9) in base 14?\nAnswer: 9333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -111*r**5\/40 + 2*r**3\/3 - 17*r**2 - 171. Let q(n) be the third derivative of k(n). Let w(u) = -u. Calculate q(w(c)).\nAnswer: 333*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = 3. Let n = 35 - 25. What is the highest common divisor of n and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/2 + 344*u - 2784 = 0.\nAnswer: -696, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 75299 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001569437896 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-4 + 5)) + -3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26432, 45306, 64180, 83054, 101928, 120802?\n\"Answer: 18874*g + 7558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13350 divided by 30.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/4 - 164465*k\/2 - 27048736225\/4 = 0 for k.\nAnswer: -164465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104957, -209925, -314893, -419861?\nAnswer: -524829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 2:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtd when three letters picked without replacement from qtqqdddqtdttdtdd?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111\/7*h + 108\/7 + 3\/7*h**2 = 0. What is h?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = 13*s + 113. Let p be (-8)\/(-28) + (-4 - 6745\/s). Calculate the highest common factor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599430600 rounded to the nearest 1000000?\nAnswer: 3599000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*b + 23 = 0, g + 5*b = 4 + 6. Solve -2*z - g*n = -7, n - 6*n = -3*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*m = -165, 3*w = -2*m - 11 + 230. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2635*x - 79*x - 2 + 48*x + 3 - 809*x)*(154 + 9*x**3 - 154) as m + p*x + f*x**3 + r*x**4 + d*x**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - 11101022110?\nAnswer: -11101021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -31, -25, -19, -13, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 3*f**3 + f**3)*(3 - 2*f - 3)*((-45 - 34 - 21)*(1 - 5 + 2) + 12 - 1 + 6) - 4 + 4 - f**4.\nAnswer: -869*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4 and -15\/406.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 8*m**2 + 20*m + 54. Give y(-10).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12564 and 40806?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*k + 3*n + 32, 8 = -k - 4*n. Let o be (12\/k)\/(2\/(-8)). Let f(p) = -p**3 - 5*p**2 + 7*p + 6. What is f(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*y - 2*i + 10, -25 = -4*y - 5*i. Let z = -1 + y. Is z smaller than 2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 - -115. Let s(v) = 2*v + 422. What are the prime factors of s(r)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-7) + 16\/((-256)\/(-156)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53365*n + 4 - 2 + 53351*n - 106743*n - 2.\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99774*22.\nAnswer: -2195028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 33 + 25 + 5. Give w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p + 2*b - 3, 19 = 3*p + b. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/7 - 559988*z**2\/7 + 5599955*z\/7 - 13999950\/7 = 0?\nAnswer: -559998, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (sqrt(300) - (sqrt(300) + 1 + sqrt(300) + 1 - sqrt(300))) + sqrt(300))**2 + (sqrt(300) + -1)**2*-1 + -3.\nAnswer: -60*sqrt(3) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 938 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Let y = 0.7 - -0.3. Let b = y + 0. What is the third smallest value in -3, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489143385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/297 and -79\/1296?\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*((-1)\/9)\/((-28)\/126). Is -14 + 280 - w\/(1 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-63)\/84*(0 - -4))*14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13352987 - 8.7677\nAnswer: 13352978.2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 3 - 3*m**2 + 5*m**2 + 0 - 5*m. List the prime factors of v(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 18. Let z be n(-14). Let f be -3 - -12*z\/(-6). Solve v - 2*v = -2*i, f*i - 2*v = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**3 + 199*d**2 - 1638*d - 30. Determine f(14).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 23 = -5*y, 4*j = 2*y - 6 - 12. Solve 16 = -2*b - 4*a, 0*a = y*a + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174046251.\nAnswer: 3, 19, 3053443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.89841 litres in millilitres?\nAnswer: 11898.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169\/35 + -22\/5. Let y = -0.07284 + 2.07284. What is the closest to 1 in q, y, -6\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84006084 to the nearest integer?\nAnswer: 9165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 104*h + 72. Let n be y(6). Let r = n - 680. What is the greatest common divisor of r and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + 469\/28 + -4. Suppose 4*a - 3 = s. Suppose -3*h - 2*c = -148, -a*h = -h - 4*c - 136. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*12\/((-27)\/9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:39 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s + 40 = 87*s. Sort s, -5, 28.\nAnswer: -5, s, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*h - 2, 0*h = 3*d - 4*h + 8. Suppose 0 = b - d + 1. Is 25 a factor of (-184)\/b*(-7)\/((-56)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 749*b + 344. Is v(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146677, -146614, -146549, -146482?\n\"Answer: f**2 + 60*f - 146738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118908379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 824.36 times 4\nAnswer: 3297.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2880 and -59\/1530.\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 42*c**3 - 5*c**2 - 5*c - 7. Let a(s) = -s**3 - s**2 - s - 1. What is 5*a(h) - i(h)?\nAnswer: -47*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2042234014 (base 5) to base 13.\nAnswer: b61503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from aayhddyyyadhayaada?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 58*b. Let o(m) be the third derivative of 23*m**4\/24 + m**2 + 60. Determine 5*k(t) - 12*o(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkdd when four letters picked without replacement from dssdsfdskdf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*i + 13, i + n = -0*n - 2. Suppose p - i = 2*p. Let h = 0.1 + -0.3. Which is the nearest to p? (a) 4 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - g + g)*(-63*g - 76*g + 223*g - 24848*g**2 - 84*g) in the form n*g**3 + w*g**2 + r + t*g and give n.\nAnswer: 24848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 105352*o = 105347*o - 17, 2*p - o = 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, j: 2, m: 7}. What is prob of sequence jm?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41561005 - 5?\nAnswer: -41561013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3 + 4)*1. Let d(a) = a**3 - a**2 - a + 1. Let y be d(2). Sort y, 0, p in increasing order.\nAnswer: p, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 351345.17.\nAnswer: 351344.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -x - 124, -4*v = 4*x - 2*v + 490. Let g = x - -132. What is the first derivative of 4*h**3 - 5 + g - 5 - 8 wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 296, 300, 302, 302, 300?\n\"Answer: -i**2 + 7*i + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.878991 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -j*d + 105 = 3*d. Is d\/1 + 2 + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = 0, 2*h - 3*h - 5*f + 8 = 0. Solve -h*r + 2 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14*a**3 + 68*a**2 - 16*a - 12. Let d(m) = 13*m**3 - 66*m**2 + 15*m + 11. Determine -11*d(y) - 10*f(y).\nAnswer: -3*y**3 + 46*y**2 - 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:55 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 4*g**2 + 0*g**2 - 3 - g**2 + 3 + (-2*g + g + 2*g)*(4*g - 4*g - g))*(0*g**2 - 3*g**2 - g**2).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 4*g + 4. Let m be u(2). Calculate the highest common factor of 64 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4 + 6*u**3 - 9*u**2 - 4*u + 12 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 0, 63, 178, 351, 588, 895, 1278?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -342*q + 171*q + 171*q - 32665*q**2 - 18529*q**2 + (3 - 3 + 2)*(-q**2 + 4*q**2 - q**2) as n*q**2 + b + h*q and give n.\nAnswer: -51190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/12)\/6*(-10)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(1\/20)*o*o**(2\/25)*(((o*o\/(o*o**(-1\/8)))\/o)\/o)\/o*o*o*o**(1\/2) assuming o is positive.\nAnswer: o**(551\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 - 2 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + ((-44)\/(-16) - 2\/(-4)). What is the closest to 0.1 in -2, -56, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -12*k + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z + 5*z - z)*(2 - 4 + 3)*(-2*z + 2*z - 2*z).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -3939.07?\nAnswer: -3939.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*912\/(-40)*(910\/35)\/416.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 9. Let b be g(6). Let h(r) = 5 - 2*r**2 + 0*r**2 - 4 + r**3. Is h(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11967977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.107974 * -9.541\nAnswer: -1.030179934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -3. What is the remainder when (-1956)\/(-36) - 2\/a is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 62\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**3 + 640*a**2 - 13385*a + 12750 = 0.\nAnswer: 1, 25, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 60, -4\/3, 17 in increasing order.\nAnswer: -9, -4\/3, 17, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2773, -2743, -2691, -2617, -2521?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(4\/3))**7\/(h**(2\/19)*h)**(-2\/91))**(-18))**(31\/2) assuming h is positive.\nAnswer: h**(-1127253\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {x: 4, z: 7, w: 2, f: 1, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 2385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 56\/9 - 20.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d. Suppose -3*f - 878 = -899. Suppose 0 = f*g - 28 - d. Solve h - g*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 57*d**2 + 30*d + 5. Calculate the remainder when o(29) is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 7*a**2 - 8*a + 10. What is the tens digit of v(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1597, 1587, 1571, 1549?\n\"Answer: -3*c**2 - c + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 8, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/54 + (-24)\/(-9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 2070 = -60*y. Let o = y - -726. Calculate the greatest common divisor of o and 636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -1 (c) -4.29 (d) -1\/3 (e) -5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*x - 18, -f + 21 = -7*x + 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 = m, -2*m + 41481 = p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:44 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14295660 and 32165235.\nAnswer: 128660940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -36, -175, -414, -771, -1264, -1911?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376222 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 - 1. Let a be d(0). Is a\/4 + 25839\/44 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44297 + 1894362 = 107*v - 740833. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -767, -11 in ascending order.\nAnswer: -767, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + sqrt(171)*-1))\/sqrt(9) + 0)*1.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j - 13. Let f(h) = -1. Let c(l) = 6*f(l) - p(l). Let n(u) = -23*u - 20. Calculate -17*c(y) - 6*n(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35\/11 + 267\/77. Let h = 9 + -9. Which is the closest to f? (a) h (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 (base 7) in base 6?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - g**2 - g. Let l(n) = -6*n**3 + 5*n**2 + 5*n - 2. Determine 5*b(i) + l(i).\nAnswer: -i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*w + 173, -122 = -362*w + 360*w + g. Solve -w*u + 13 = -76*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2 + 1. Let c = 0 + 2. Let q(u) = -u**c + 0*u**2 + 0*u**2. Determine y(q(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 21*z**2 + 61*z - 821. Calculate k(22).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 21, 27, 37, 51?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73662, -147295, -220928?\nAnswer: -294561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 3*c - 2*c. Suppose c = b + 3*w, 110 = -3*b - 3*w + 377. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d + 5*d)*(5 + 0 - 2) + 3*d + 0*d - 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 7*k + 1. Let p be m(5). Let t = p - -25. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9293 divided by 148.\nAnswer: 9293\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -356 - 596. Let b be 3 + ((-339)\/(-3))\/1. Suppose -v - 3*f = 3*v - b, 2*f + i = 4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 906534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/4)\/((-11)\/220). Solve v*d + 16 = -2*k, -2*k - 10*d = -6*d + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1457 = -4*c - 325. Let y = c - 169. Let v(u) = 114 - y + u. Let b(q) = 11*q. Calculate b(v(g)).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -73*r**9\/72 - 827*r**5\/60 + 155*r**2. What is the third derivative of v(w) wrt w?\nAnswer: -61320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 + 7*o**2 + 0*o**2)*(-2 + 2 - 3*o) - 2*o**3 - 4*o + 4*o as p*o**3 + g*o**2 + k + l*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**2 + 244*r + 696 = 0.\nAnswer: -58, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(28) + 4)*-5 + -2 + (sqrt(70) - 3*sqrt(70))\/sqrt(10))**2.\nAnswer: 748*sqrt(7) + 2507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -104. Suppose 7*b - 1164 - 383 = t. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 3\/2 (c) -4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/78)\/((-8505)\/(-1053)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145049973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 4*k**2 - k - 2. Let r be c(-4). Let b(n) = r*n + 8*n - 5*n - 7*n + 6. Let w be b(2). Solve -1 = w*q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-10) + (-108)\/90\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - -141. Calculate the greatest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 1348.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**2 + y + 1. Let t(m) = -15*m**2 + 3*m + 2. Let r = -10 + 3. Let l(g) = r*f(g) + 3*t(g). Is 8 a factor of l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4733.1 + -4937. Let c = -204 - q. Which is bigger: c or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6428762.16 rounded to the nearest 100?\nAnswer: -6428800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220900913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 353266239\/747970 + -4\/373985. Let b = u - 471. Let q = -5663\/6 - -933. What is the common denominator of q and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 40*a. Let u(m) = m**2 - 3134. Determine n(u(b)).\nAnswer: 40*b**2 - 125360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 2*x + 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 226 in descending order.\nAnswer: 226, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*r**4 - 1341544*r**3 + 48541447*r + 4 wrt r?\nAnswer: 3504*r**2 - 8049264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/173 - -337\/1557. Let c(w) be the first derivative of 2\/9*w**4 - 4 + 2\/3*w**2 + n*w + 2\/3*w**3. Find b such that c(b) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*a - 20 = 0, -3*v + 3*a = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13))**(-2\/21)\/(u**(1\/6)\/u)**(14\/9) assuming u is positive.\nAnswer: u**(3149\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from zzzuuuzzzzzz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen sixteenths of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = s - o, -236*s - 2*o - 11 = -239*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 7:04 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*s - 282*s = q - 37, -8*q + 10*q - 69 = -3*s for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/1126020 and -21\/122560?\nAnswer: 18016320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9603302*d**3 + 4801651*d**3 + 4801650*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 8. Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b**2 - 18*b + 18. Let d(s) = -s**2 + s - 1. Let c(x) = 72*d(x) + 4*p(x). Let a(n) = -5*n + 22*n - 5*n - 9*n. Calculate c(a(w)).\nAnswer: -216*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {r: 6, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l. Let p(q) = -4*q + 4254. Give -k(i) + p(i).\nAnswer: i + 4254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30943.9999195 + -30944. What is j rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h. Let m(z) = z**2 + 3. Let u(v) = -8*v**2 - 28. Let t(a) = -56*m(a) - 6*u(a). Calculate t(o(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171940041 to the power of 1\/2, to the nearest integer?\nAnswer: 46604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-2) + -6 + 9. Let w(l) = -l**3 - 2*l**2 - l + 1. What are the prime factors of w(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -10*b**5\/9 + 2102*b**4\/9 + 568*b**3 - 748544*b**2\/9 + 5529280*b\/9 - 1856800\/3 = 0.\nAnswer: -22, 6\/5, 10, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:51 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:35 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10439 + -5248. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98749239 rounded to three decimal places?\nAnswer: 0.987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3700, -3695, -3686, -3673, -3656?\n\"Answer: 2*w**2 - w - 3701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/(2\/8). Let t(r) = -r**3 - 11*r**2 - 10*r + 4. Let y be t(-10). Let s(z) = -z**2 + 4*z + 2. Let w be s(y). Solve 2*j - p + w = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 7:11 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*h - 108 = 1457*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6*f = -18*r + 4495, -5*r = f - 1249. What is the remainder when r is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from xxaxsssx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexexxxxeexeeeeee. Give prob of sequence xee.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 27 = -8*i. Suppose 2*u - 2*n = -i*n + 7010, -u = -2*n - 3515. Let p = -1288 + u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5755 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 3. Suppose 2*j - 8*j = -18. Suppose 3*y = -j*y + 30. Determine l(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 - 2*m - 1. Let w be f(3). Let j be (-9 - -13)\/(w\/6). Solve 0 = i - 5*i + j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 4*d**4 + 0*d**4 + 2*d - 2*d + 2*d**4 + (2*d + 0 + 0)*(-5*d**3 - 2*d**3 + 5*d**3) - 2*d**2 + 2*d**2 - d**4 + 4*d**2 - d**4 - 4*d**2.\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -1445, -3450, -6309, -10022, -14589, -20010?\nAnswer: -26285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 56 = 3*q. Let v = 1 - q. Let t be 12\/18*(-117)\/v. Solve 4*f + t = -3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*j - 7. Let k(y) = 164*y**2 - 3*y - 12. What are the prime factors of k(j)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 5776 = -8480. Suppose 4*m = v - 288. Calculate the greatest common divisor of 150 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/(-4))\/((-6)\/16). Suppose -q + 395 = 4*f + 107, 2*f - 3*q = 158. Let n = -71 + f. What is the highest common factor of c and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.46 times 0.4?\nAnswer: 0.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.3676\nAnswer: -0.14704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*g + 2 = 0, -3*t + 8*t - 13 = -3*g. Suppose -2*k + 25 + 8 = -t*n, -4*k + n + 93 = 0. What is the greatest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:17 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/585*6\/(-4). What is the second smallest value in 0.2, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 6*o + 10*o + 4*q = 2*o + 53, -5*q = -18*o - 223 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1210 and 770?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 4, d: 8, j: 2}. Give prob of sequence rr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnnn when four letters picked without replacement from npppnnnpnnn.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8635298 microseconds to nanoseconds.\nAnswer: 863.5298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -22.3?\nAnswer: 312.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 111d51 + -8?\nAnswer: 111d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from inbibiwnbl.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(11)*-3)**2 + -3*sqrt(1100))*-3.\nAnswer: -1188 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -351*o - 6789099 + 6771900 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6838992 by -162.\nAnswer: 42216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*f + 2*f = 12, 3*n = -3*f + 21. Calculate the remainder when 4\/n*453\/6 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 372 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 7, -2627, -0.071?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + 3)\/(-17 - -16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 18.9. Let v = b - -18.8127. What is v rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5 = 4*v - 1, -y + 5 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4215, 8405, 12595, 16785?\n\"Answer: 4190*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 199 - 15 = -77 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/11269?\nAnswer: 10\/11269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 2*o - 1. Let m be a(-4). Let f be (m + 0)*2*14. Let p = f - -1718. What is p rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104471 is divided by 159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -14*v**2. Let u(p) = 12*p - 20. Determine x(u(n)).\nAnswer: -2016*n**2 + 6720*n - 5600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -6 - (3 + 1 + -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*l + 16 = 0, -4*u - 6*l + 7*l - 8 = 0. Is 22*8 - (u - (0 - -1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531570.\nAnswer: 2, 3, 5, 13, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -42. Let w be (4\/33)\/(8\/12). Which is the closest to 7\/4? (a) -3\/7 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(-1 + 1\/1). What is the common denominator of -1 - (95\/6 - 1) and (c - 10)\/(-3 - 55\/(-25))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 15*w + 9. Suppose 0 = -i - 5*r - 164 + 140, 2*r + 24 = -4*i. Let v(u) = u**2 - 7*u - 4. What is i*q(m) - 9*v(m)?\nAnswer: -m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202827?\nAnswer: 1202827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 523*m**2 - 17649 + 3*m + 17649 as w + y*m**2 + d*m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 130?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-7))\/(12\/14). What is the closest to h in 0.3, -0.6, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 2*v. Let c be s(3). Let t be (c - -2003)\/((-2)\/500). What is t rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -31*y**2\/2 - 2*y - 1331. Give o(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 - 3 = 0. Let g = t + 21. 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 the thousands digit of 2747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5070156 divided by -1267539.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29483223 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*y + 5100 = 111*y. Suppose 3*p - 273 = y. Suppose 42 = d - p. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121443198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 5*n**2 + 14*n = 0. Calculate n.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27967593 to the power of 1\/2, to the nearest integer?\nAnswer: 5288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*-31.66.\nAnswer: -1551.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - 15*z + 19. Let v be p(7). Solve 7*l - v = 11*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + 5. Is p >= 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**3 + 8*n**2 - 21*n - 7. Let k(y) = 38*y**3 - 42*y**2 + 102*y + 34. What is 3*k(b) + 16*o(b)?\nAnswer: 2*b**3 + 2*b**2 - 30*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376344458?\nAnswer: 2, 3, 19, 4024399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4 - 11*u**2 - 2 + 1319*u - 2594*u + 1272*u + u**3. Give x(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10873, 21746, 32619, 43492?\nAnswer: 54365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 5. Let m be u(-4). Let l be (0 + (-4)\/(-3))*-33*42\/2156. Put 1\/2, -0.2, m, l in ascending order.\nAnswer: m, l, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20012 + -12?\nAnswer: -20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -600?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*b - 50. Solve -4*d = -2*o + 17 - 1, 0 = b*o - 3*d - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2. Let y be 0*2\/(-4) - -3. Suppose -y*l + 1 = 10. Let q(i) = 0*i**2 + 0*i**2 + 5*i**2. Give l*s(g) + 2*q(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)\/(sqrt(45)\/sqrt(9)))\/sqrt(5))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 3*r + 3. Calculate l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -943073, -943068, -943063, -943058, -943053?\n\"Answer: 5*m - 943078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1725)\/16790)\/(780\/208)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95725 and 2913869?\nAnswer: 3829","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/7, 1\/10, 0.014, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0*b**2 + 4*b**3 - b - 6*b**2 - 8 - 5*b**3. Let j be n(-6). Let u be -1 + -1 + j\/1. Are -3 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dok. What is prob of picking 1 o and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-24))\/(2\/(-8)). Solve 2\/3*w**2 + 0 - 1\/3*w - 1\/3*w**v = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (6 + -14 + 3 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1257, -2481, -3711, -4947, -6189, -7437?\nAnswer: -8691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5267745*w**3 - 19277*w**2 - 41*w + 1 wrt w?\nAnswer: 31606470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2506 + 4?\nAnswer: -2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156.2 - 156.2. Which is the nearest to q? (a) 1\/2 (b) -2\/3 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7 - 2*l**3 + 3*l + 6*l**3 + 0*l**2 - 3*l**2 + 0*l. List the prime factors of d(3).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*n - 4 - 5, 2*n + 3 = -3*l. Put 7, 0, l, -3 in ascending order.\nAnswer: -3, 0, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 76?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(65)*2 + sqrt(65) + sqrt(65) + (-2*sqrt(65) + sqrt(65))*-6))\/(sqrt(245)*1*-1 - (sqrt(245) + (-1*sqrt(245)*-1 - sqrt(245)) - sqrt(245))) + -4.\nAnswer: -60*sqrt(13)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + g**5 + (-3 + 3 + 2*g**2)*(-3*g**3 + 3*g**3 - g**3) + (-40 + 29 - 46)*(-2 + 5 - 1)*(4 - 1 + g - 1)*(5 - 5 - 3*g**4).\nAnswer: 339*g**5 + 684*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 - 97. Let x(d) = 8*d**2 + 3*d + 12. Let r(f) = 9*f**2 + 4*f + 13. Let y(a) = -6*r(a) + 7*x(a). What is the units digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s**0\/s*s))\/s)\/s)**(11\/3)\/(s**(1\/5))**(-40) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, 3, -9, 5 in increasing order.\nAnswer: -9, -1.6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 3)\/((-4)\/8). Let v(z) = -2*z**2 - 7*z + 3*z**q + 3 - 2 + 0*z**2. What is v(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21967627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5617*p**2 - 2687*p**2 - 2812*p**2.\nAnswer: 118*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19202.\nAnswer: 2, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1939651, 3879332, 5819085, 7758946, 9698951, 11639136, 13579537?\n\"Answer: 6*i**3 + 1939639*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.30264 minutes in milliseconds?\nAnswer: 198158.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 17*a**2. Let d(j) be the first derivative of j**3 + 72. Give d(x(u)).\nAnswer: 867*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 2*o - 9. Let r(d) = 3*d**2 - 5*d - 18. Let a(m) = -3*r(m) + 5*u(m). Let k = -9 - -3. Let f be a(k). Solve g - f = 6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-366)\/(-72) - (44\/(-48) - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5))\/(7\/10). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 5*u - 7. Let d(g) = -g**2 - 9*g - 9. Let n be d(-7). Let p(v) = -2*v**2 - 6*v + 8. Determine n*p(j) + 6*z(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 314866238 rounded to the nearest 100000?\nAnswer: 314900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -159154, -159150, -159146, -159142, -159138, -159134?\n\"Answer: 4*h - 159158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 29509?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*f - 46*f + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102113, 102106, 102111, 102134, 102181, 102258, 102371, 102526?\nAnswer: 102729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + -3 + 35 + -23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 3\/(2\/(84\/9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -491\/697 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211 is divided by 172?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -444662.97599969 - -444663. Let k = -0.024 + b. Round k to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1129912 + -18108501\/16. Let b = 1870 + a. What is the common denominator of 3*755\/90 - 1 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.19 - -0.9. Let y = -0.39 - o. Let z be ((-14)\/(-16))\/1 + -1. Which is the nearest to y? (a) z (b) -2\/9 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1725984*q**4 - 72*q**2 - 7*q + 408?\nAnswer: -41423616*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -181. What is the highest common divisor of q and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 5\/2, 4, 0.5, 270?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 1:01 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -4)*-1*6\/(-4). Suppose -4*u + 4*b - 4 = 0, -2*b - b = 4*u - 17. Let t be 2 - (-1 + u) - -1. Sort -3, t, j.\nAnswer: -3, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.10438.\nAnswer: 0.020876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*j + 3*c - 4 = -390*j, -j = 5*c + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5422 + 2375 = -151*v + 549 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7429\/10 - 743. Let y = -2.02 + 6.1. Let h = y + -0.08. Sort h, 5, i in increasing order.\nAnswer: i, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4986\/27 + 11 - 2\/3. What is the highest common factor of 117 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 60*s**2 - 123*s + 74. Let i be b(-62). Solve 4*f = -5*x + 21, 3*x = -13*f + 10*f + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 * -15\nAnswer: 1.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*d**3 - 64*b*d*o**2 - 2*d**3*o**2 - 98*d**2*o**2 wrt b.\nAnswer: -2*d**3 - 64*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c + 0*c + 4*c + (-4 + 4 - 2*c)*(-20 + 127 - 15) in the form u*c + j and give u.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 721.82 + -716. Let j = 0.18 + k. Which is greater: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = 0. Let k(y) = -y**2 + 9*y - 5. Let l be k(7). Let z(f) = -f**3 + 8*f**2 + 10*f - 9. Let s be z(l). Solve 3*w - 6 + b = s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (1 - 1)\/(-2). Let s(x) be the first derivative of -k + 1\/12*x**3 - 1\/2*x - 1\/8*x**2. Factor s(h).\nAnswer: (h - 2)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 37*r**5\/60 - r**2. Let p(o) = -29*o - 300. Let i(s) = 12*s + 125. Let h(n) = -12*i(n) - 5*p(n). What is d(h(u))?\nAnswer: 37*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 + 641*w - 1292. Let h be m(2). Let k(l) = l**3 - l**2 + l + 4. Let n be k(0). Calculate the highest common divisor of n and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 6, g: 1, b: 3}. Give prob of sequence xxb.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217\/20 + -58\/5. Sort a, -1, -2, 2.\nAnswer: -2, -1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*h = 2, 0*d - 5*d = -2*h - 23. Let z(m) be the second derivative of -m**5\/20 + m**4\/6 + m**2\/2 - 28*m. What is z(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101\/301 + -4\/43. What is the smallest value in 1\/4, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 0 + 2 + 2*r + r**2. Let b(t) be the third derivative of t**5\/60 + t**4\/12 + t**3\/3 + 2*t**2. Determine -3*b(s) + 2*i(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = i + 54, -3*i + 12 = 3*k. Sort k, -4, 2677.\nAnswer: -4, k, 2677","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 4*s - 3*s)*(2*s + 6*s - 4*s) + (-4 + 4 - s**2)*(53 - 73 + 46) to the form a + r*s**2 + w*s and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 43622560.\nAnswer: 305357920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzozzozzzzzz?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 4*q - 3*p + 5*p, 4*p = -5*q - 244. Let x be (-2)\/7 - q\/(-28). Which is the third smallest value? (a) 4 (b) -1\/2 (c) x (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -13. Let u(k) = k**2 - 2*k - 1. Let f(t) = -2*t**2 + 3*t. Let o(c) = i*u(c) - 2*f(c). Differentiate o(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1070 + 1045 + 48 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 15 = 33 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -73*k**2 + 33*k + 3. Let y be h(15). Let b = y + 6727. What is b rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 7. Let w(h) be the second derivative of h**4\/12 + 5*h**3\/6 - 315*h. Let a(q) = 6*q**2 + 36*q. Let r be (48\/(-18))\/(2\/27). Give o*a(l) + r*w(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1336, -1384, -1520, -1792, -2248?\n\"Answer: -8*w**3 + 4*w**2 - 4*w - 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 divided by -212449?\nAnswer: -1255\/212449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:51 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -4*w + 4*z - 7, -3*w + 5*z + 133 = 0. Let n = 4133 - 4109. Let x(q) = 23 - w + n. Let o(i) = i - 4. Determine -o(k) - 6*x(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 49*h**3 - 2*h**2 - 6*h + 24. Suppose 5*w - 27 = -4*b - 8, -w - 1 = -4*b. List the prime factors of q(w).\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 91*n - 8 = -0*g + 88*n, 0 = -2*n + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/2)\/((-11706)\/(-11706))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*-2*-15*175\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -278\/127, 10\/7, 0.3 in decreasing order.\nAnswer: 22, 10\/7, 0.3, -278\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**9\/4032 - 3*u**7\/1120 - u**6\/240 - u**3 - u. Let b(a) be the second derivative of v(a). Factor b(s).\nAnswer: 3*s**2*(s - 2)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1 - (4 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = p. Suppose 4*j + 0*j + 764020 = 5*a, p = j - 4*a + 191016. Round j to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34334 (base 5) in base 12?\nAnswer: -1519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, -12, -39, -86, -159, -264?\n\"Answer: -r**3 - r**2 - 3*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 1, n: 1, b: 1, k: 2}. Give prob of picking 1 b and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 63 = -123. Sort u, -32, 2, -4 in ascending order.\nAnswer: -32, -4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggggggyggg. Give prob of picking 2 g.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376561.\nAnswer: 19, 19819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 16. Suppose t*d - 3*x - 115 = 140, d - x - 63 = 0. Suppose -y + d = 9. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -263*d - 2. Let b be c(-6). Suppose 424 = -q - b. Round q to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -332, 0?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41344 is divided by 41344?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 = -2*o + 299 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -0.9. Let t = r + 0.1. Let q = 16.9 + -16.8. What is the nearest to 0 in t, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-604032)\/81312*(0 - (-4)\/16)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -547.24 and -0.7.\nAnswer: -547.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - 16210\/15. Let b = i + 1733. What are the prime factors of b?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110 (base 2) in base 9?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2175 and 1160?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 - -2310?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 3*a**5\/20 + a**3\/6 + a**2 + a. Let j(n) = n**3 + n. Let h be 6\/10 - 24\/(-60). What is h*j(x) - l(x)?\nAnswer: -2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28168 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21111120 (base 3) to base 6.\nAnswer: -41153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4 = 7*f, 5*s + f + 23 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5500 (base 7) in base 5?\nAnswer: 30320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20210221100 (base 3) in base 10?\nAnswer: 134091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19110 + 19110 + 218*p)*(-2*p**4 + 8*p**4 + 0*p**4 + 2).\nAnswer: 1308*p**5 + 436*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 40664?\nAnswer: 121992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwinknikwnnwnwkiin. What is prob of sequence iki?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1420 and 61192770.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11136\/(-48256))\/((-36)\/(-39))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 6*h**3 + 19*h**2\/2 + 64*h + 43. Is q(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (-2 + sqrt(684)))**2 + 4)*-1 - (-4*-1*sqrt(171))\/((sqrt(108)\/sqrt(4) + sqrt(27))\/sqrt(3) + sqrt(9)).\nAnswer: -8 - 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 71. Let f(l) = -l**3 - 5*l**2 + 2*l. Let s be f(a). What is the second derivative of -13*v + 42*v**5 - 19*v**5 + s*v**5 + 38*v wrt v?\nAnswer: 940*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8668 and 169814.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 517 times 0.2\nAnswer: 103.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3\/6 + z**2 + z. Suppose -4*t = -5*m + 38, 4*t + 6*m + 56 = 2*m. Let j = t - -8. What is u(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -2202, 3, -1, 2 in descending order.\nAnswer: 37, 3, 2, -1, -2202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**2 + 0*l**3 + 0*l + 0 - 1\/24*l**4. Let g(d) = 9*d**2. Determine y(g(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 - (5 - (0 + -6)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -101 + ((-24 - 15 - -47) + (8 - 1) - 10).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v - 35 = -54*v + 5*j, -4*v + 8*j = -52 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - d**2 - d - 10. Give f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -17.4 (b) -71 (c) 0.1 (d) -1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 828765557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 2, v: 1, q: 2, r: 1, g: 1}. Give prob of sequence rqw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147343 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -13*o. Let y(a) = -5*a. Let p(x) = 4*s(x) - 11*y(x). Let k(h) = -19*h. Give 6*k(f) + 39*p(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1848069*g*i**2*m**2 - 8*g*i**2*m - 7343*g*i**2 + 5*g*m**2 + 23*m wrt m.\nAnswer: 3696138*g*i**2 + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18650.08 to the nearest 100.\nAnswer: -18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1117 - 89. Let u = a + -676. Suppose 0*c = -4*s - 4*c + u, 272 = 3*s + 5*c. Calculate the greatest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 - 9*u**2 - 13*u + 6. Suppose -8*n = -16*n + 552. Let h = n - 74. List the prime factors of y(h).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 0*w - 9*w - 2. Suppose 3*h + 5*c + 15 + 11 = 0, 0 = -5*c - 20. Calculate the lowest common multiple of 8 and y(h).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 112957\nAnswer: -79069.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) 2\/23 (c) 8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35605 (base 12) in base 16?\nAnswer: 11825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 349*n**2*z**2 - 2*n**2 + 346*n*z**2 + 2*n*z wrt n?\nAnswer: 698*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*q + q. Suppose 0 = j - 4*t + 12, 6*j - q*t = 3*j - 4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 81614, 163289, 244964, 326639, 408314, 489989?\n\"Answer: 81675*t - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4064\/(-11176) - 1482\/(-22)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, 5, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-5*b**3 + 5*b**3 - 2*b**3) + 3*b**3 + 829*b**2 + 415*b**2 + 2223*b**2.\nAnswer: 7*b**3 + 3467*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-4)\/6*3. Let q(w) = 2*w + 2. Let o(k) = -3*k - 3. Suppose h - 4 + 0 = 0. Suppose 11 + 1 = -h*y. Calculate j*q(i) + y*o(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 28933728*r**2 - 2.\nAnswer: 28933728*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -27, -58, -3, 5 in decreasing order.\nAnswer: 5, 0, -3, -4, -27, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 3, h: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -8, -4, 46, 0, 2 in decreasing order.\nAnswer: 46, 4, 2, 0, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-21)\/12*(-9)\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17282204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -383. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14 = 3*q. Suppose -q*d = -2*d - 10. Suppose 0 = j + d*j - 6. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -600735?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 13*z**2 - 67*z + 237. Let m be h(8). Solve 42*q = -m - 63 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*p + 30, 5*p + 23 = -2. Solve -10 = r + 3*r - t*o, 0 = -r + 5*o + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139851119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**2 + 0 + 1\/3*x**3 - 1\/12*x**4 + 0*x. Differentiate j(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**3*z**3 - 11*w**3*z + 123*w**2*z**2 + w*z**2 + 23*w*z - 3441*z**3 wrt z.\nAnswer: -6*w**3 - 20646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30439*r**4 - 5*r**3 - 287462*r**2 wrt r?\nAnswer: 730536*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 + 5*z. Let v(m) = -106*m**2. What is o(v(n))?\nAnswer: 78652*n**4 - 530*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 86 = 6. Suppose -7*m = -9*m - d. Let p = 10 + m. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*w - 17 = 0, 5*p + 3*w - 13 = -2. Solve -d + 3*m + 37 = -6*d, 0 = p*d - 5*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 90539.9876?\nAnswer: 90540.4876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from mhhhhhhhhhhhhhhhhh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*g + 263 - 512 + 249 in the form r + t*g and give t.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -34*o**3 - 3*o**2 - o + 10. Give a(-2).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:41 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 347*h**2 + 1712*h + 730. Give x(-342).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = b + 20*p, -3*b = 2*p + 20 - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 3. Let d = n + -3. What are the prime factors of (9 + -39)*(d - 1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*u + 20629 = 0, -648*q + 2*u = -643*q - 51600. List the prime factors of q.\nAnswer: 2, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - l**2 + l**2 + (-l + l + l**2)*(-5*l + 2*l + 5*l) - 6 + 6*l**3 + 6)*(0 + l + 0).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 95 = t, -4*l + 140 = -9*l + 2*t. Is -31 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 539\/5 or 108?\nAnswer: 539\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*g - 25, 4*a - a = g + 11. Suppose -t = 4*p + 26, 0 = -3*t + g*p + 16 - 46. Is t at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asnnsssn. What is prob of picking 3 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 53*p**2 - 37*p - 16. Let b be s(-7). Calculate the greatest common factor of 40 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74542 divided by 2\nAnswer: 37271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. Let h = 8 - 2. Suppose 0 = h*z - 4*z. Solve z = 2*g - 0 + y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7318\/15 or -487?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22745*z**2\/4 - 5687*z + 3\/4.\nAnswer: (z - 1)*(22745*z - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + 92\/(-8). Let k = 30 + m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153.214 + 154. Let u = x + 327.214. Let f = -298.2 + u. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15675528 is divided by 6303.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -148\/9? (a) 0.1 (b) -1\/3 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/10 + (-2)\/(-10). Suppose w - 60 = -q*w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6097*t**2 - 3004*t**2 - 3048*t**2.\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*j - 9 = 0, -3*w + 3*j + 21 + 0 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21111001 (base 3) to base 14\nAnswer: -1db9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162\/(-189)*(-742)\/3?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16160 divided by 40?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1261104 and 208464?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3383 - 3383 + 68*a**3 + (-1 + 0 + 4)*(2*a + 0*a - 3*a)*(a - 2 + 2)*(a + 0*a - 5*a).\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(0*a**2 + a**2 - 3*a**2) + (-3*a + 3 - 3 + (0*a + 0*a + 3*a)*(2 + 1 + 0))*(-257 - 33*a + 257) + 2*a**2 - 4*a**2 + a**2.\nAnswer: -195*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 64 = -3*c - 0*r, -2*c - 2*r = -48. Suppose -c = -13*t + 8*t. Solve -2*h - 17 - 1 = t*l, 3*h + 19 = -2*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145450 times 1.64\nAnswer: -238538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*((k**(1\/3)\/k)\/k)\/k)\/k)*k**(1\/3))\/(k**7\/k*k*(k\/(k*k\/k**(-4)*k*k))\/k))**(2\/21) assuming k is positive.\nAnswer: k**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2029080 divided by 148?\nAnswer: -13710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 0.095. Round a to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10673602, 21347217, 32020856, 42694525, 53368230, 64041977, 74715772, 85389621?\nAnswer: 96063530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4\/5*v**5 + 2\/5*v + 2*v**4 + 0 - 6\/5*v**3 - 2\/5*v**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 + 6*t - 5. Let p be d(-7). Let x(m) = 258*m - m**p - 258*m. Let r(s) = -2*s. Determine x(r(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -998444*j - 1341*j**2 + 998444*j + (0 - j + 0)*(j - 5*j - j) - j**2 - 1 + 1 to h*j + g + u*j**2 and give u.\nAnswer: -1337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1836 - -128. What is the remainder when p is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) 105 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tikktinittiittktitt. What is prob of picking 1 k and 3 i?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 288\/84 - (4 + 25\/(-7)). Let y be (6\/(-18))\/(1\/(-3)). Let t be 9 + (y + 0)\/(-1). Solve -t = -7*n + i*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3*w**4\/4 - 4*w**3\/3 - 2*w**2 - 3*w - 1. What is the remainder when q(-2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315565566*y**6 - 190918404*y**2?\nAnswer: 37867867920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o - 755 = 5*d, 0 = -2*d + 3*o - 315. Let k = 310 + d. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 3706?\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1795 = -32. List the prime factors of j.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rereske. What is prob of sequence es?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/60 + 113\/420. Which is the nearest to 0? (a) -5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 5*s - 11. Give b(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6))\/((t**(-2\/3)\/t)\/t))\/((t**4*t)\/(t*t**1*t)) assuming t is positive.\nAnswer: t**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 661983460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4681045 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98282 (base 10) to base 4.\nAnswer: -113333222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1342422 (base 5) to base 7.\nAnswer: -144142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfllfffffflfffffffff. What is prob of picking 2 f?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 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: Calculate the common denominator of (3\/(-16))\/(60\/(-790)) and -73\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (18\/(-21) - -1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1075404, 1075399, 1075384, 1075353, 1075300, 1075219?\nAnswer: 1075104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n**3 - n**2 - 137 with respect to n.\nAnswer: -15*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (162\/2916)\/(2\/27) - 61\/92. Determine x, given that 8\/23*x - b*x**2 + 8\/23 - 2\/23*x**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 29407?\nAnswer: 235256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g\/(g\/g**(-2\/7))))\/g**15)\/(g**(-2)*g**8))**4)**(-47) assuming g is positive.\nAnswer: g**(28576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**3 - 6*i**2 - 9*i + 16. Let w(c) = 2*c**2 + c. Let b(m) = s(m) + 5*w(m). What is the hundreds digit of b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 - 9*r**2 + 4*r - 3. Let z(d) = 3*d**3 + 9*d**2 - 5*d + 4. Calculate -4*b(j) - 3*z(j).\nAnswer: -j**3 + 9*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000347719 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -21\/8 (c) -1\/20 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/17 or -200\/7?\nAnswer: -200\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13559.\nAnswer: 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022554 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380.5 - 381. Sort s, -2, 2 in descending order.\nAnswer: 2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x + 56 - 38 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-56695)\/(-30) - 3. Let b be (-1)\/3 - (-5627)\/(-3). Let p = k + b. Calculate the common denominator of p and -103\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.7 + 8. Let o be -3 + (9 - 12) - -1. Which is the fourth smallest value? (a) m (b) -0.4 (c) o (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*w + 8, 5*y + 4*w = y + 8. Suppose s - 2*s + 7 = y. Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + -2033234?\nAnswer: -2033004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33918 and 45224.\nAnswer: 135672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22962969959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 325. Factor 1 - p*l**3 - 96*l - 330*l**2 - 37*l**3 - 9 + 48*l**3.\nAnswer: -2*(l + 1)*(11*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 + 807*i\/4 + 7587.\nAnswer: -(i - 843)*(i + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*y = -8178, 3*c = 2*y - 600 + 6722. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -286*s. Let c(r) be the second derivative of r**3\/6 - 8*r + 8. Determine b(c(z)).\nAnswer: -286*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 2960?\nAnswer: 50320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.037, -99\/7, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 350 - 185. Let p = -2806\/17 + z. Are p and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2728090774 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7497 - 7494. Let a(z) = z**3 - z**2 + z + 2. Suppose 5*h - 1 = 9. Let g be a(h). Solve 0 = b - g + r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Let p(c) = -2*c**3 - c**2. Let h be p(-1). Let l(k) = 2*k**2. Let w be l(h). Sort -4, w, o.\nAnswer: -4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 2. Let d be g(2). Suppose -d*a - 10 = -b, -3*a + 63 = 3*b + 2*a. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h)**(15\/7)\/(h**(1\/6)\/(h\/h**7)) assuming h is positive.\nAnswer: h**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-26)*n**(-13) assuming n is positive.\nAnswer: n**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14771 - 14741. Calculate the greatest common divisor of 2064 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185.5, -1\/4, -1.17, 23 in decreasing order.\nAnswer: 185.5, 23, -1\/4, -1.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) + -1 + sqrt(325))**2.\nAnswer: -12*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d)*(-22*d - 7*d - 31*d + (d + 6 - 6)*(-1 + 1 - 2)).\nAnswer: 62*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + b**3 + 2*b**3)*(b + 3*b - 2*b) + 516 - 516 - 145*b**4.\nAnswer: -147*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6800*n + 1142407. Calculate z(-168).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3775*z**2 - 9*z + 3. Let g(a) = 13420128*a**2 - 31992*a + 10664. What is -6*g(x) + 21328*n(x)?\nAnswer: -7568*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(10\/5))\/2. Solve -2*g - 5*g + g**3 + 2*g**2 + 0*g**2 + 0*g**t + 4 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 59*s**3 - 3*s + 4*s - 2 + 0*s + s**2. Let u(w) = w**2 + 14*w + 34. Let i be u(-11). What are the prime factors of x(i)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(245) + -2.\nAnswer: -5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7.0851051us?\nAnswer: 0.00000000008200353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -105. Solve -j*c + c = -15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h - 132 + 42 + 37 + 32 + 31. Give c(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239 - -242. Let -2 - 5*y + h*y**5 + 4*y**4 + y**5 - 2*y**2 - 2*y**5 + 4*y**3 - y**5 = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 838, 1\/10, -9 in increasing order.\nAnswer: -9, 1\/10, 2\/11, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2657 - -0.265703636. What is d rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from dqo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 11) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 253?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 32*o - 3816 = 0. Suppose o*u - 96*u = 50. Solve 5*s - 3 = -2*x + 6*x, u*x - 5*s = -5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145 + -242. Let u = w - -96.99999947. Round u to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447254837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -5, 0.3, -2\/77, -2?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.083? (a) -4\/889 (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 0. Suppose v + 2*v + 11 = -2*b, v = 4*b - a. Let y be -2*2\/b - -3. Let o(t) = -t**3 + 2*t**2 - 1. What is o(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166.531995 - -166.57. Let b = k + -0.038. What is b rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5 = -l. Suppose 0 = -2*q + 166 - 108. Put -2, l, q in decreasing order.\nAnswer: q, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 440, 888, 1340, 1802, 2280, 2780, 3308?\n\"Answer: y**3 - 4*y**2 + 453*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7703 - 7627. What is the highest common divisor of 855 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 8*m - 93. Let j be p(4). Let o(g) be the third derivative of 11\/6*g**j + 13*g**2 + 0 + 0*g - 1\/4*g**4. Differentiate o(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-12)\/(q*(q\/q**(-1))\/q)**32)\/((q\/(q\/(q*q**(-5)*q)))\/(q*q*q*q*(q*q**(-9))\/q*q*q))**(-5) assuming q is positive.\nAnswer: q**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 46*x - 32. Let n be u(-16). Sort n, -1, -16.\nAnswer: -16, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:04 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.441851 to 1 decimal place.\nAnswer: 144.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -305726?\nAnswer: -305726.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9349, 9359, 9373, 9391?\n\"Answer: 2*s**2 + 4*s + 9343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17700690 and 2170.\nAnswer: 17700690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 6}. Give prob of picking 3 l and 1 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316370 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 270 + -6 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5 - 2 - -4) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28920863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000544772 rounded to 6 dps?\nAnswer: -0.000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54.65 + 48.65. Put 118\/7, 3, q in descending order.\nAnswer: 118\/7, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.15305233\nAnswer: -0.76526165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**8\/20160 + m**7\/420 + m**6\/90 - 4*m**5\/15 - 25*m**2 + 2*m. Let q(z) be the third derivative of n(z). Give q(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 11*w**2 + 10*w**2 - 5*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17*k**2 - 1. Let j be b(-1). Is ((-46)\/(-3))\/((-4)\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let n = 3 - p. Suppose n = w + 3*w - 164. Solve 9 = -s - i, -4*i = -s + 6*s + w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -22, 4713, -5 in decreasing order.\nAnswer: 4713, 5, 3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190729\/1040 or -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 6 = -2*x - 3*d, -x + 2*d + 3 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3314 + -4967. Let y = q - -1660.81. What is y rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/15 - (-11 + 15 - 0). Let s be 9\/30*(-5)\/(-6). Sort -5, s, d.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14994 or 15040?\nAnswer: 14994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/60 - q**4\/6 - 2*q**3 - 2149*q**2. What is p(12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(60)\/sqrt(6))\/(sqrt(720)*1 + sqrt(720))*-3.\nAnswer: 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m**3 - 3*m**2 + 3*m + 39. Let u(l) = -35*l**3 - 10*l**2 + 8*l + 105. What is -8*g(o) + 3*u(o)?\nAnswer: -9*o**3 - 6*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 2*a + 24*j, 23*a + j = 28*a - 0*j - 202 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 134168 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = r - 0*r. Suppose -5*h = -h - 124. Let g = r + h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -0.18, -70, -67\/4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 103128*m + 1650042. Give l(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/7742 and -55\/1868587.\nAnswer: 26160218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134802235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/11, -0.9, -0.13, 0.2, 16, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -311 - 314 - 310 - 1842*w + 935 as p + x*w and give x.\nAnswer: -1842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 3*s)*(-3363 + 3363 + 26*s) - 5*s - 2*s**2 + 5*s - 4*s**2 - 2*s**2 + 7*s**2 + (-3*s + 2*s - s)*(-s - 2 + 2) - 1 + 2*s**2 + 1.\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -17 - ((-2 - 8 - -17) + (-7 - 6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6782 (b) 19 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*y - 2*j - 41, -39 = -4*y - 3*j. Suppose 0 = l - y - 2. Let h(q) = -3*q - 6. Let g(z) = -8*z - 19. Let m(o) = l*h(o) - 4*g(o). Calculate m(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a. Let o(r) = 106*r + 57. Determine o(x(p)).\nAnswer: 954*p + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*d + 7 - 15 = 0, -3*g + 5*d - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)*-1*6)\/sqrt(8))\/((sqrt(300) - (sqrt(300)*3 + sqrt(300)))*5).\nAnswer: sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*j**4 - 10*j**4 - 24*j**4 + (1 - 3 + 4)*(5*j**4 + 0*j**4 - 3*j**4) + j**4 + 2*j**4 - j**4 + (2*j**3 + 0 + 0)*(-4 + 2*j + 4).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*g = -2*d - 180, -g + 473 = -5*d. Let w = -5 - d. Let v = w - 44. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(75))**2 + sqrt(3) + 3)*-5.\nAnswer: -255 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -425 - -5?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*g + 101 = 0, -4*g = 11*q - 8*q - 82. Suppose -31*v + 55 = -q*v. Suppose v + 44 = 11*c. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14824914.\nAnswer: 2, 3, 13, 190063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/4*-2*-2. Let h(k) = 17 - l - k. Let v(p) = -2*p**2. What is v(h(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 278 - 128. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 + 12 - -14 - -29) + -47\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 8 - (-6 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*f + 13, -y + 8 = -6*y - f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -616 smaller than -634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 2\/11 (c) 2\/30767957 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.047 (b) -73.1 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - u)*(-7*u - 3*u + 3 - 1).\nAnswer: -20*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11071 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + a + 6 - 3, 0 = -3*u + 2*a. Let g be u\/7 + (-85)\/(-119). Which is smaller: g or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-30)*w*w*w*w\/(w\/(w\/(((w*w*w**7*w)\/w)\/w))))\/((w*w\/(w**(2\/49)\/w*w)*w)\/(w\/w**17)) assuming w is positive.\nAnswer: w**(-2546\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23052 (base 10) in base 2?\nAnswer: -101101000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 - (-2 - (9 + -1))) - -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2777758\/11 - -252340. Let p = 10645\/66 + m. Let d = -3843 - -34513\/9. Find the common denominator of p and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**6\/1980 + z**5\/330 - 3*z**3\/2 + 11*z. Let o(m) be the second derivative of h(m). What is w in o(w) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507831 and 357411.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = f - 1, -3*q = -0*f - 4*f + 4. Suppose 0 = 2*v - 17 - 3. Let p = v + q. What is the highest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**3 + 184045*m**2 + 736115*m + 552075 = 0.\nAnswer: -36805, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 6)\/(1 + 0). Let i = -397.3 - -397. Which is the third smallest value? (a) i (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a5 + -41?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 + 126 - 61 + 20*f - f**2.\nAnswer: -(f - 22)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15746 - -5?\nAnswer: 5.15746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15711395 - 565811281\/36. Let r = l + 5584. Calculate the common denominator of 55\/12 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -706\/11 + 64. Put 1, 2, 0.4, g in ascending order.\nAnswer: g, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 12*n**2 - 4\/3*n**3 - 1\/15*n**5 - 1\/2*n**4 + 0 + 0*n. Factor i(x).\nAnswer: -4*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.4 - 54. Let l = 7.2 - 1.2. Sort d, l, -1\/5.\nAnswer: -1\/5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 176 = -2*n, g - 3*n - 114 = 4*g. Let v be (2\/3)\/((-15)\/g). Suppose 841*z - 619*z + 2957*z - 3179 = 0. Are z and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847 = -b - 5*c, 2*b - 3298 = -2*b - 5*c. Calculate the greatest common divisor of 133 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 144. Suppose g - 9 = 5. Let n = g + -15. Sort n, -4, y.\nAnswer: y, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.38*4\nAnswer: 89.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*g**2 - 80*g + 26 = 0. What is g?\nAnswer: 1\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 1110550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1831, 6892, 15233, 26896, 41923?\nAnswer: 60356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:17 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 4*p + 26 - 3*p**2 + 25.\nAnswer: -3*p**2 + 4*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121754*u + 121754*u - 34*u**3.\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + f**4 + f**4)*(407 + 1510 + 489)*(3 - 3 - 2).\nAnswer: -4812*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71027 = -13304*o + 115229 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 49*j + 191*j + 5*j - 3 to the form w*j + b and give w.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62, 212, 468, 836, 1322, 1932, 2672?\n\"Answer: r**3 + 47*r**2 + 2*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0\/5)*409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:56 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30608, -61215, -91820, -122423?\n\"Answer: t**2 - 30610*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2595149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-13 + 11) - (-8 + 22)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -7, 15\/8, 1, -5, 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:13 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 152848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-11))\/(83\/144254*79)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122.8638 - -123. Let l = 0.14 - g. What is l rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.679*114.25\nAnswer: 1905.57575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 40*d**2 + 122*d - 616. Give z(3).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(21)*2 - (-2*sqrt(210) + sqrt(210))\/sqrt(10)))\/(sqrt(30)\/sqrt(360)*2*2))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2728550 and 2420.\nAnswer: 5457100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17205497 - -1?\nAnswer: -17205496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253790 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 + 16) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3977, -3983, -3989?\n\"Answer: -6*b - 3971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98822 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b - 3*h + 10, 8 = 4*b - h. Let k(u) = 53*u**2 - u - 1. Is k(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*x = x + 4, -4*t + 2*x = -2. Suppose 0 = -5*y + 2*o + 1004, t*y + o = 2*o + 401. List the prime factors of y.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3213652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlatt. Give prob of sequence tlt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122 and 18.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 8. Let v be -2*(-3)\/(-12)*2. Let s(c) = 1 - 2 + 2. Let t be 35\/6 - 6\/(-36). Calculate t*s(n) + v*r(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 136605096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305431 - 3?\nAnswer: -305434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4544704 litres?\nAnswer: 454.4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4207, -16589, -51253, -99785, -162185?\nAnswer: -238453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + d - 7. Let o(q) = -5*q**2 + q - 15. Let j(n) = 2*o(n) - 5*z(n). Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(187) - sqrt(187)) + -5*(sqrt(187) - sqrt(187)*-1))\/((sqrt(11) + -6*sqrt(11)*1 - sqrt(11)*-1*-3)*-4).\nAnswer: -29*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {p: 10, c: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(2\/7)*v)\/v**(2\/7)*v\/((v\/v**0)\/v)*v**(-10))**(-38))**(-1\/51) assuming v is positive.\nAnswer: v**(-1748\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let p(t) = -14*t**3 + 14*t. Calculate -p(a) - 14*v(a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3620211 is divided by 65822.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31522 + 6311?\nAnswer: -22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/30*(-25)\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -45*r**2 - 7*r + 4. Let m be i(8). Let z = 1853415 - 40839589\/22. Let l = z - m. What is the common denominator of -53\/18 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*m = -266*m - 347*m + 9372 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 0*n = -256 + 228. Suppose y = 6*y - 10. Suppose i = -0*i + y. Put i, n, 3, -4 in ascending order.\nAnswer: -4, i, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51021a + -5?\nAnswer: -510222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (0 - -3)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118553526 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, -2184464 in ascending order.\nAnswer: -2184464, -26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1183*l + 3*k = 1178*l - 11, 2*l + 10 = -2*k. Suppose 4*j = 0, 5*j + 13 = w + j. Solve c - l*b = -11, w = -2*c - 0*b + b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 1 - 5 - 5 - 17875*j as u*j + t and give u.\nAnswer: -17875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94886, -379558, -854012, -1518248?\n\"Answer: -94891*g**2 + g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-90) + (-30752)\/(-10). Let n be b\/164 + 1 + (-3)\/4. Suppose y = 7 + n. Which is smaller: 23 or y?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -181 - -123 - (36 + -9)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 127, 114, 85, 34, -45, -158?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524 divided by 127?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose 0 = -5*g - u - u + 30, 5*u = -5*g + 45. Let v(b) = b**2 - 4*b + 3. Let w be v(g). Solve -w*y - 2 = -y, -p*y + 7 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-75)\/(-20))*1*4. Suppose 5*s - 4*k + 152 = 0, -2*k - w = -9. Calculate the common denominator of s\/(-12)*(-19)\/(-4) and -62\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9724780 and 24440?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -49\/3*n**3 - 3\/2*n**2 - 27 + 2*n. Find the second derivative of w(m) wrt m.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-15)*(-1 - (-75)\/(-6)). Let c = m + 569. List the prime factors of c.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4\/4 + 9561*w**3\/4 + 52767*w**2\/2 = 0.\nAnswer: -11, 0, 3198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:23 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72264457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.07 + -3.83. Let o = -5 - b. What is o rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916774 (base 10) in base 11?\nAnswer: 109a112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 6, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*d + 47*d + 4758 - 1680 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 8, d: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 5 + 9 + -13 - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 461 = -d + 16*m + 50*m, -2 = -m - 9 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - (-2 + 6 + -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.03121kg in tonnes?\nAnswer: 0.07203121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*r - 21, -5*o + 2*r + 10 = 13. Let y(m) = 27*m**2 + m - 1. Calculate y(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h + 256. Let n be x(0). Calculate the remainder when (1\/(-2))\/((-2)\/n) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1142 - -1112) + 0 + 21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0. Let n be 0 + 8\/14 + 78\/(-14). What is the biggest value in n, v, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30893 is divided by 564?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ac2a (base 15) in base 4?\nAnswer: 20322022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 294932*y - 2064426.\nAnswer: -2*(y - 147459)*(y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -494*r**4 + 1936*r**3 - 2310*r**2 + 788*r + 80 = 0.\nAnswer: -20\/247, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c - 2. Let j(v) = -156*v - 4. Determine d(j(u)).\nAnswer: -2184*u - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 16*q + 28 = 13*q, 5*o - 2*q = 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 34 = -f + 6*f, -24 = 2*a - f. Let k(i) = -25*i**3 - 11*i**2 - 36*i + 13. Is k(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-24)*(-18)\/(-4). Put -5, 1, x in descending order.\nAnswer: 1, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 55401725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxhqfoqxqqxxxox. What is prob of picking 1 q and 1 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6*q - 1 = -5*p, p + 31 = 5*q. What is the smallest common multiple of 9 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -7*f**2 + 0*f + 0 + 2\/3*f**3 - 1\/24*f**4. Calculate r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 1. Let x(c) = -117*c + 8. Let m(p) = -6*b(p) + x(p). Let y = -9 - -8. Is m(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-23*x**2 - 45*x + 4*x**2 + 43*x).\nAnswer: -19*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -362.459 + 0.459. Let l = 364 + h. Let a = 0.16 + -0.02. Sort a, 4, l in descending order.\nAnswer: 4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f + 306. Let u be a(-38). Let k = 2.5 - 3. Sort k, -2, u in descending order.\nAnswer: u, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80.4 - -77.4. Let m = 1.98 + 0.02. Which is the fourth smallest value? (a) 1\/4 (b) m (c) k (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4175342.64 milliseconds to weeks.\nAnswer: 0.006903675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 - 708*c**4 + 2780*c**3 - 2060*c**2 - 2784*c + 2768 = 0.\nAnswer: -1, 1, 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079172 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1459 + 237. Let m = l + 2019. What are the prime factors of m?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*16\/6*5\/(95\/(-114))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090479 (base 12) in base 10?\nAnswer: -3173277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. Suppose 3*w - 4*t = 21, 2*w - t = d + 3. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 17*x + 5*a, 62*a + 10 = 64*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*q + 3*c**2*q**2 + 4575*c**2*q + 7*c**2 - 2525*c*q**2 - c + 2*q**2 - 7 wrt c?\nAnswer: -6*c*q + 6*q**2 + 9150*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123110 (base 4) to base 9.\nAnswer: -8013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -240279*h*s**2 - h*s - 106*h + 460*s wrt s.\nAnswer: -480558*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -84*r - 2804. Let x be h(-38). Solve 72*w - 260 = x for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10863157139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(1008)*-6 - sqrt(1008) - (sqrt(1008) + -1*(-1 + sqrt(1008)))) + -2)*6)**2.\nAnswer: 33696*sqrt(7) + 6132996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -573*n**3*v - 957568*n**3 + 1618*n*v wrt v.\nAnswer: -573*n**3 + 1618*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22\/7, 0.2, -2, 79, -3\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, z: 1, u: 1, r: 1}. Give prob of picking 1 r, 1 z, and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) 2 (c) 0.4 (d) -1991 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/7)*a**(2\/33)*a*a*(a**(-24))**(-35\/4) assuming a is positive.\nAnswer: a**(48920\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343 - -14203033?\nAnswer: 14202140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l**3 - 1 + 1 + 51*l**3 + (-3*l + 0*l + l)*(4*l**2 - 58 + 58) in the form v + x*l**2 + p*l + s*l**3 and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.12. Let w = 0.38 + h. Let v = 2 - 1\/2. Which is the second smallest value? (a) v (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/40*1020\/(-1122).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 162*j - 331*j + 169*j + 18*j**2.\nAnswer: 18*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 20 + -6 + -28 + (-88 - -62)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0547411 millilitres in litres?\nAnswer: 0.0000547411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -3*n - 142. Let x = 88 - 18. Calculate the greatest common divisor of x and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357412 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: Let i(r) = -r**3 - 29*r**2 - 174*r - 76. What is i(-22)?\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 1 + 1)*(4 - 6 + 13)*(2 - 4 + 3).\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(125)*-1 + 3 - sqrt(125)) + sqrt(125) + -4 - (4 + (-2*sqrt(125))**2*-3)).\nAnswer: -7475 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*z - 5*z. Let v(q) = 9*q**2 + 8*q - z*q. Let y(b) = 2*b**2. Give y(v(g)).\nAnswer: 162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**4 + 1320*s**3 - 649*s**2 - 573*s - 82.\nAnswer: -(s - 82)*(s - 1)*(4*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 17*i**5\/30 + i**4\/6 - 5*i**3\/6 + 14*i**2 - 2. What is the second derivative of z(o) wrt o?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223 or -225?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*k**4 + k + 60*k**4 - k**2 + 26*k**3 - 6*k**3 as q + p*k**2 + m*k + t*k**4 + y*k**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 1242 - 4*h - 10740*h**2 + 2*h + 10743*h**2.\nAnswer: 3*h**2 - 1242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f**4 + 0*f**3 - 9 + 0*f + 1\/18*f**5 + f**2 + 1\/360*f**6. Find p, given that l(p) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvm when three letters picked without replacement from tttttmrvmtfm.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let x(y) = -y**2 - 8*y + 7. Let r be x(-7). Let b(h) = 2*h**2 - 14*h + r*h. Give u(b(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 s, and 1 t when three letters picked without replacement from ysqqtqpq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*l - 439 = -436, 0 = 2*l + 4 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9cf (base 16) in base 6?\nAnswer: 15343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1252 = -3*j - 9, -j = -3. Let c = 60 - 60. Suppose c = 5*g - 9519 + o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*k = -234, -d + 6*d - 296 = -k. Let q = d - 44. What is the remainder when 52 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-45 - (-22 + -19 - -14))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = -4*k, -5*c + k = -20. Suppose h + 4 = 6. Let g(f) = -2*f - h*f**2 + 19*f - 8*f + 3 - 7*f. Give g(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 7. Suppose 3*v + 656 = h*v. Let s = -754 + v. Round s to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/8414 and -31\/658840.\nAnswer: 395962840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3258109*g*u**3 - g*u + 9*g - 3*u - 5951057 with respect to u.\nAnswer: 9774327*g*u**2 - g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1367683085 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4891 = -1127*a + 383 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 69 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3675*o = 3823*o. Factor -4\/5*b**2 + 4\/5 + 6\/5*b - 8\/5*b**3 + 2\/5*b**5 + o*b**4.\nAnswer: 2*(b - 2)*(b - 1)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -619*j + 614*j + 290. Suppose 0 = 2*y - y + 1. Let z be (y - 3\/2)*-58. What is the highest common factor of z and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*r**2 + 7034*b - 10866*r**2 wrt b.\nAnswer: r**2 + 7034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 3\/2*m**2 + 9 + 4*m + 5\/3*m**3. What is the tens digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152692976.\nAnswer: 2, 9543311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 1\/4 (b) -0.1 (c) -713 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, k: 3, m: 1, c: 5}. Give prob of picking 1 m and 2 s.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 70485884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 32 = 5*n. Suppose -40*x + 44*x = n. Solve -3*m - 2*m - 2*u - 16 = 0, -3*u - 10 = x*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2065, -2049, -2029, -2005, -1977, -1945, -1909?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37110, 38268, 41420, 47562, 57690, 72800, 93888, 121950?\n\"Answer: 166*d**3 + d**2 - 7*d + 36950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6419774 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21999956 - 0.22. Round r to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + d = 32*d - 40. Suppose 2*b = -3*b. Solve -3*j + d - 5 = b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1541884*k**3 - 3084431*k**3 + 1541997*k**3.\nAnswer: -550*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181696 divided by -5344.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = -2. What is the common denominator of 4*(0 - (-42)\/(-15)) and (-1)\/(48\/(-369)) + n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 3*i + 7*i)*(4*i - 2*i - 3*i + (5 - 2 - 4)*(2*i - 2*i - i) - 7*i + 36*i + 17*i) to u*i + z + y*i**2 and give y.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/12 - 2\/(-6). Let s(f) = 26*f. Let l(n) = 26*n. Let h(r) = y*l(r) - 5*s(r). Let m(a) = -289*a**2 + 869*a**2 - 287*a**2 - 294*a**2. Calculate h(m(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, -1, 279 in decreasing order.\nAnswer: 279, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*w - 4199960 = -4197568 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zkzbzbzkzkzkzz?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4319897.\nAnswer: 19, 227363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -2 - 15 - (-1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053949?\nAnswer: 3, 433, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64a8 (base 13) to base 5\nAnswer: 421441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxwxxxxxwwxxwxxxxxx. Give prob of picking 2 x and 2 w.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34784 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 6. Let y be z(-4). Suppose 8 = 4*x - 2*g, -y*x + 2*g = -x - 2. Factor 3*c**4 + 2*c**2 + 7*c**2 - 9*c**x + 6*c**3.\nAnswer: 3*c**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150500 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 232*q + 717 = -923 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5\/2 + 125*u**4 - 485*u**3\/2 + 120*u**2 = 0.\nAnswer: 0, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4982777 <= 4982775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f - 2. Let c = 5082 - 5084. Let s(w) = -w. Give c*i(k) + 14*s(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39424 = 17*t + 5*t. Suppose f + 4*g - 448 = 0, 16*f - t = 12*f - 2*g. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 510?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -y. Suppose -y*k + 11 = -37. Suppose -v = -k + 2. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1217.1, 1\/3, -4, 1\/2 in ascending order.\nAnswer: -1217.1, -4, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 3. Let r = -6 + m. Suppose r*h = 2*h. Solve 2*v - 4 - 6 = h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b**2 + 2*b - 1. Let v(k) = -47*k**2 - 12*k + 87. What is -5*g(o) - v(o)?\nAnswer: 2*o**2 + 2*o - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.2 (b) 24\/199 (c) -0.0622\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5999885 - -3.6. What is i rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= 384\/245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 4128.\nAnswer: 1\/4128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + u - 23 = 0, 36 = 2*b + 3*u - 12. Suppose -5*o = 5*w - 105, o + 3*w = 2*o - b. Let v = o + -14. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let t(u) = -2*u - 59. Let c(d) = -22*q(d) - 2*t(d). Let p be c(8). Which is bigger: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = -52*b. Suppose b = 386*c - 376*c - 20. Solve -3*u**3 + 0 - 33\/4*u**5 + 0*u**c + 0*u - 18*u**4 = 0.\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let t(s) = 11*s + 21. Let l(p) = -6*j(p) - t(p). Calculate the remainder when l(-20) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/27)\/(-43) + (-2)\/(-11). Solve 0*p**2 - t*p + 0 + 2\/11*p**3 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 120*z + 1873. What is b(-23)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w + 9. Let d(h) = 16*h + 13. Let g(f) = -5*d(f) + 7*x(f). Suppose 0 = -0*c - 5*c + 35. Let t(j) = 5*j + 3. Determine c*g(o) + 4*t(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 16. Suppose 7 = -j*h - 5. Let q = 0.434 - 0.234. Which is the closest to -1\/2? (a) h (b) 2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 5 - (0 + -1). Suppose 108 = -10*t + 19*t. What are the prime factors of (t\/30)\/(k\/10) - -51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11102001200201 (base 3) in base 9?\nAnswer: 4361621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909950007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274147004 is divided by 3335?\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 + 57\/6. Let q be 40\/16*8\/j. Suppose -4*i = -q*c + 92, -4*i + 88 = 4*c - c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24992 and 21296?\nAnswer: 3024032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -11. Let s = -2.1 + f. Let x = 1 + -0.8. Put x, s, -1\/4 in decreasing order.\nAnswer: x, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -10245.7.\nAnswer: 102457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -21*j + 22*j. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -307 - -309. Solve -4*z = -k*l - 10, -5*z = -l - l - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t - 492 = -p, -t = -4*p + 1935. Let l = 485 - p. Solve -5*b - 2*c + 5*c - 2 = 0, 0 = -3*b + c + l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 20*i**2 - 75*i + 40. What is s(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/154783112 and 39\/56284768?\nAnswer: 619132448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 213*m*n**2 - 226*m*n - 848868*m + n**2 wrt n.\nAnswer: 426*m*n - 226*m + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.2 + 4. Let t be (-1)\/5 + (-9)\/30. Which is the closest to t? (a) -1\/9 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*i + c, -i + 4*c = 13 - 2. Differentiate i*j**3 - 2 + 5 + 0 with respect to j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1) + -2 + 0. Let a(o) = o**2 - 11*o + 8. Let t be a(10). Let m = r + t. Let b(l) = -l**3 - 1. Calculate b(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b = -53*b - 27. Let c(m) = m**3 - 9*m**2 + 5. Let h be c(b). Suppose h*l = -5*g + 369 + 91, -15 = -3*l. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230072 + -139065. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuuwwuwww. Give prob of sequence uudw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/12*9 + 17. Calculate the highest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13181448.6ns to days.\nAnswer: 0.0000001525630625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 64, 133, 226, 343, 484, 649?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -76443.\nAnswer: -22\/76443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257 + -27. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 373.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.2 - 0.8. Suppose -b + 0 = 5*j + 8, 3*j = -4*b - 15. Let o be j\/5*(-2 + 0). What is the third smallest value in a, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 3 = -2*n + 2*p, 0 = 2*n + p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 11*c + 5*u - 45, 4 = 4*u. What are the prime factors of 24\/(-16) - 5476\/c?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221628 + 127*s - 127*s - 2*s**3 + 221628.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/3 - f**3\/6 + 2*f**2 - 2. Let o(p) = p. Determine k(o(g)).\nAnswer: 8*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2. Let f(s) = -3*s**3 + 2*s**2. Determine -f(o) - 2*j(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648 divided by -6?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*y - 2*t, 11970*y - 7 = 11965*y + 3*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 717, 1726, 2735?\n\"Answer: 1009*d - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 + -6 + ((1 - 3) + -3 - -272) is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4 = 5*j, -4*g + 9 - 5 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 15 = -66*j + 69*j, 14*j = 4*u - 40 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 2*d + 2*d + (-2 - 1 - 3)*(d**4 - 2*d**4 + 3*d**4) + 2*d - 6*d - 2661*d**4 - 4 + 2664*d**4.\nAnswer: -10*d**4 - 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -34*f - 19*f. What is the nearest to f in -5, -1, 1\/9, -6\/13?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 16*t**2 - 7*t - 30. Calculate s(-7).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130098.\nAnswer: 2, 3, 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 270*p - 275*p + 41 = 0, -d = -5*p + 21. Let g = 14 - 9. Solve -2*o + 31 = -g*a, -4*a + 15 = -d*o + 47 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 266?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 3*q**5\/20 + 18*q**4 + 141*q**3\/2 + 105*q**2 - 2*q - 66. Factor s(p).\nAnswer: 3*(p + 1)**2*(p + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-30 + 31 - 11 - (1 - 3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 30. Let n(o) = 6*o - 12. Let s = -38 - -40. Let w be n(s). Which is the biggest value? (a) w (b) 1 (c) 2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 817 + -72. Let j = y + -49. Let w = j + 209. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:41 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 - 3*k**2 - 5*k + 3. Let w be i(3). Suppose 6*r + 0*r = w. Calculate the remainder when 20 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - k**2)*(1 - 1 + 2*k) + 0*k**3 - 3*k**3 + 2*k**3 - 9 + 12*k**3 + 9.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-4)*8\/(-6). Is ((-26)\/(-4))\/((-1)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.2 (c) -3\/5 (d) 3041\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-78) + 14\/182. Let w(o) = -o - 4. Let u be w(-5). Solve c = -s + 2*s + u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(7 - 6))\/((-294)\/(-112) - 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5 - 1 - 8*m + 1 - 5*m**2 + m - m**3. Let s be f(-4). Suppose -2*o = -s*o + 55. What is the remainder when 21 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8754087 + -3584087. What is j rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24765.109 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*j*m**3*t**3 + 55*b*j*m**3 + 20*b*j*t + 3*b*m*t**3 - 6*j*m**3 + j*m**2*t**2 + 2*m**2 wrt m.\nAnswer: 6*b*j*t**3 + 330*b*j - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -18. Suppose -2*r = -19 - u. What is the remainder when 41 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 10:29 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + h - 3 = 0, 5 = 3*q + 3*h - 4. Suppose 6*a - 3 = 2*l + 3*a, q = 5*l - 4*a + 4. Solve l = 4*x - 2*f + 24, -4*f - f + 5 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 409 = 5*i, i = 3*o + 306 - 739. Sort o, 1, 2 in ascending order.\nAnswer: 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfgssde. What is prob of sequence df?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283*x**2*y**2 - 5*x**2*y - 1463*x**2 + 11*x*y**2 - 9*x + 14*y**2 wrt y.\nAnswer: -566*x**2 + 22*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 46 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/6)\/((-2)\/15). Let g(n) = -10*n + 19*n**2 + 3 + 3*n - 5*n - i*n**2. List the prime factors of g(-6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3007\/124 + -24)*4\/(-30)*-6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -76, 5, -0.8?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.547298 - -0.517298. Let f = -7 + 11. Which is the fourth smallest value? (a) -2\/5 (b) f (c) -10 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:22 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3952 + 4111. What is the greatest common factor of 27 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/112)\/((-320)\/112)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5275.28 and 20125256.\nAnswer: 20119980.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173.1 - 173.6. What is the smallest value in -2\/3, 1, u, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4\/(9\/((-135)\/10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 0.339?\nAnswer: 0.339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 21*y**2 + 4*y - 37. Is i(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 + -4?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:06 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(720) + (-4 + 1 + sqrt(720) - sqrt(720))**2 - -5*2*sqrt(125)*3*-6.\nAnswer: -756*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53706132 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -76. Let p(i) = -i - 25. Let l(v) = v + 52. Let o(m) = -3*l(m) - 7*p(m). Let k be o(s). Solve -2 = -h - 5*d, h + k*h + d + 11 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.078, -2, 0.3, -1\/8, 0.5, 41?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**32*y\/((y*y**(-6)*y)\/y)*y*((y*y*(y\/y**(-5))\/y)\/y)\/(y*y**27) assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 112 - 0 - (50282 + -50301).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Suppose -b - b + 348 = y. Suppose b = 3*z + 21. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2898, 11669, 26264, 46683?\nAnswer: 72926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 1 (c) 5 (d) -3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**7\/42 + l**6\/15 - 3*l**5\/20 - 2*l**4\/3 - 2*l**3\/3 + 17*l + 4. Let y(t) be the first derivative of h(t). Factor y(g).\nAnswer: g*(g - 2)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/((-10)\/8) - -81?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 12, -7, -34?\n\"Answer: -4*h**2 + h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -9 (c) -0.227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7142*s**2 + 2*s + 3. Let i(o) = o**2. Determine c(i(m)).\nAnswer: 7142*m**4 + 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4 + 16. Suppose -4*n + 3*u + 10 = -0*u, 5 = -p*n - 5*u. Suppose -3*w = 3*x - 27, w - 5 = -0. Solve 3*i + n = x*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/195)\/((-6)\/(-12)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -968.972 + 969. Let p = -23.912 + 24.9. Let u = p - f. What is u rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 87*l - 1702. What is i(21)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 + 96*s**4 - 80*s**3 - 16500*s**2 + 63442*s - 46956 = 0. Calculate s.\nAnswer: -13, 1, 3, 14, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1148624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehkkiihiixkkeh. What is prob of sequence xeh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-1\/2))\/v)**(-3\/22))**46 assuming v is positive.\nAnswer: v**(-207\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 9*u - 2. Let s be d(-8). Suppose 4*l - s = 2. Suppose 3 = -j + l*f, -2*j + f + 9 = 2*j. What is the lowest common multiple of 14 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.011 in -5, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 4\/29 (b) 0.42 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17606 + 28925. Calculate the greatest common divisor of k and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -29. Let n be ((-22)\/10 + d)*(-8 - -3). What are the prime factors of 1003\/n - 10\/55?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/248? (a) -1 (b) 3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0 - 2 = 2*j, 5*a + 5 = -3*j. What is the third derivative of -z**4 - 3*z**4 - a*z**2 + 3 - 3 wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c - 4655 - 10543. Let z = -696 - c. What is the lowest common multiple of z and 12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2. Let o(l) = 6223879*l**2. Calculate y(o(x)).\nAnswer: 116210009419923*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*((1 + 1 + 0)*(d - 5*d + 3*d) + 13339*d + 13 - 13341*d + 13).\nAnswer: -8*d**2 + 52*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -15*a + 190. Calculate k(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1130*-2138.08.\nAnswer: 2416030.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15830 (base 9) in base 8?\nAnswer: -25201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3026, 1, 0.5.\nAnswer: -3026, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-60) - 4\/(-10). Suppose -2*n + 4*d = d - 153, w = -2*d - 10. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -21.00028. What is t rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + 0.22.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -9) + (-10)\/(-8)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**2 + 4*j**2 + 0*j + j - 2*j**2 - 3*j**2 + 2*j**2 + j**2 + 2*j**2 - 2*j**2 + (-j**2 - j**2 + j**2)*(1 + 4 - 3).\nAnswer: -6*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/17 in 8, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o. Let p = o - -2. Differentiate -3 - 18*m + 18*m + 4*m**p + 0 wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**4 + 1\/60*b**5 - 1\/6*b**3 + 0 - 1\/10*b**6 + 0*b - 39*b**2. Let y = -2 - -1. What is s(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 3*q**3 + 4*q**3 + 3*q + 0*q. Suppose -2*x + 0*x = -8. Let z(y) = 2*y**3 - 4*y - 1. Calculate x*k(f) - z(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100676*n*p**3 - n*p**2 + 21*p**4 - 1062*p**2 + 311 wrt p?\nAnswer: -604056*n + 504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104046 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-173456)\/3516*((-164)\/176 + (-2)\/(-11))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*d*p**3*t + d*p**2*t - 3*d*p**2 - d*p*t - 9*p**3*t + 2519*p**3 + p**2*t - 21186*p - 3 wrt p.\nAnswer: 426*d*t - 54*t + 15114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -9, -14, -7.\nAnswer: -14, -9, -7, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -14*b + 31. What is the smallest value in b, -2\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.53?\nAnswer: 4.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19564 divided by -387\nAnswer: -19564\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6242645 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 0.8. Let c = 15 + -14.5. What is the smallest value in -5, y, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(171) + 0 + sqrt(171) + (sqrt(171) - 1*(sqrt(171) + -2)**2) + 1*-3*sqrt(171)*2*-5 + 2.\nAnswer: -175 + 111*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342 - 291. Calculate the remainder when 188 is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -2, 5\/3 in descending order.\nAnswer: 5\/3, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-7)\/126). Let r = 10 - p. Solve -2*c = k - 5, -5*c - r = -0*c - 3*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1381.245 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 10. Let j be (1 + -7 - 72\/(-36)) + 2. Which is the third smallest value? (a) 0 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -217.\nAnswer: -4\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 55808.241 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 904*d + 8. Let u(f) = -907*f - 10. Determine -5*g(c) - 4*u(c).\nAnswer: -892*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 116522*z - 2 - 253*z**2 + 116525*z.\nAnswer: -253*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) -2 (b) 1 (c) -0.02 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 3 + (0 - (-10 - 2)) + -9.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezy when three letters picked without replacement from yzyuuyuuedzzuzuy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-69 + 40 - -38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -294, -0.053, -7?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 3*sqrt(65)*-1)\/(sqrt(5) - sqrt(80)*-3).\nAnswer: -2*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 34, -5, 278 in decreasing order.\nAnswer: 278, 34, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 91918 - 34993 = 0. Suppose -o - 6663 = -3*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z - 5. Let q(l) = -2*l + 5. Let i be q(5). What are the prime factors of k(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 6, q: 3, y: 4, j: 1}. What is prob of sequence dee?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -a + 28, -103*a + 16 = -2*i - 101*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -53 + (-8 - (-13 + 6 - 10)) + -1\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.023 micrograms in tonnes?\nAnswer: 0.000000000374023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7709777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*b + 13. Suppose 0*t - t - 1 = -4*y, -3*y = 5*t + b. Suppose u - 19 - 16 = y. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = x - 9, u + 9 = 3*x - 2*u. Suppose -5*h + 4*n - 64 + 155 = 0, 3 = 3*n. Suppose 1 = x*a - h. Solve -5*p - q = -0*p - 9, 5 = a*p + 5*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 48*j - 698. Give c(21).\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 + 110*i + 1686. What is p(-9)?\nAnswer: 1425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h + 313 + 20*h + 26*h + 18*h.\nAnswer: h + 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -12*((-24)\/9)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1550 by -155.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (380\/160)\/1*560\/14.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26250318 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 608.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4117.9+-6961028\nAnswer: -6956910.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5502, 22146, 49880, 88698, 138594?\n\"Answer: -l**3 + 5551*l**2 - 2*l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*u + 195*u - 66 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1011226?\nAnswer: -1011226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 c when three letters picked without replacement from ccoooyccyylocc.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*j + 6 + 3 = 5*g + 64*j, -j = 9*g - 3*j - 31 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2212*t - 712267. Calculate q(-322).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -7. Let p = 15 - 22. Let x = p + 8. What is the least common multiple of x and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2012182\/39 or -51593?\nAnswer: -2012182\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107795.26 rounded to the nearest 10?\nAnswer: 107800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:04 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22085779.\nAnswer: 22085779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jllzllllzlzljllkzlz. What is prob of sequence klj?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 580 = 60. What are the prime factors of q\/30*1*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + 1 - (587 + -553)) + 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*t - 2534 + 2554 = 0, 4*t = -4*p - 20. What is the closest to p in -1\/3, -2.1, 2\/7?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/29 + -1231\/1276. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -760*h**4 + 2042 wrt h?\nAnswer: -3040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 19*a + 27. Let k be h(-1). Suppose -k*x + 15764694 + 8875306 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*4\/16*2. Calculate the smallest common multiple of y - (-1 + -8 + 2) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 53*l + 223 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 + 3208*q**3 - 636756*q**2 - 2585648*q - 2598544 = 0.\nAnswer: -2, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3703*o - 3735*o = -64 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89337 and 12.7.\nAnswer: 1134579.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f + 16. Let h be s(5). Is h > -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 50851 - 200424 = -9*v, 5*h = -5. Round v to the nearest one hundred.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-7) + (-4)\/14. Let f be (3 - 2)\/(2\/o). Solve f*j = 3*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113282443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*v + 1. Suppose 0 = -5*z - 4*b + 69 - 10, 0 = z - v*b - 31. What is the remainder when 59 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.94 + -1.94. Put 0, h, -0.5 in decreasing order.\nAnswer: h, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*s + 902 = 133*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - b**2 + 338372*b - 169185*b - 169188*b.\nAnswer: -b**2 - b + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/3)\/160)\/(1414\/(-56560))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8)\/((-2)\/20). Let o be ((-73)\/w + 3)*-10. What is the third derivative of -123*y**2 + o*y**2 + 10*y**3 + 0 + 0 wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-1 - (28 - 18))) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 4*o - 36, 8 = -2*o. Let a be 51\/12 + (-2)\/8. Suppose 2 = -2*u - c + a, 5*u - 14 = 2*c. Solve -2 = v - 3*i - 3, -u*v - 20 = l*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39a853 (base 11) to base 10\nAnswer: 629258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, y: 2, f: 5, p: 1, w: 3}. What is prob of sequence rryp?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-9 - 1) + (-143 - -135).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s - s + s)*(0 + 0 - 1) + 2*s + 2 - 2)*(-89*s**2 - 55*s**2 + 17*s**2) + (0*s - s**2 + 0*s)*(s - 8*s + 3*s).\nAnswer: -123*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -10)\/(1\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1772 - 0.0772. What is the closest to b in 3, 4\/7, -0.5, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8024.188131 and 0.36.\nAnswer: -8023.828131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0 + 1\/2*n**4 + 0*n**2 + 2*n + 0*n**5 + 0*n**3 + 0*n**6 + 0*n**7 - 2\/7*n**8. Find the third derivative of w(j) wrt j.\nAnswer: -1920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -31 - (-1 + 0 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 33*l + 11. Let b(o) = 17*o + 6. Determine 11*b(d) - 6*x(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.8054 times -5?\nAnswer: -1974.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.6 (c) -7205 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 521\/8 + (-6)\/48. Suppose b = -4*b + h. What is the remainder when (0 + 3 - 4)*-35 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/73, 1, -5, 0.1, 4\/7, -2\/117467?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -1. Let w = -1 - f. Solve -y - 2 = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 2\/5, 174?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1)*g)**(-49)\/((g**(-2\/15)*g)\/(g**4*g)) assuming g is positive.\nAnswer: g**(-673\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8008?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(500))**2 - sqrt(500) - (sqrt(500) + 2*sqrt(500)*-6)**2.\nAnswer: -58500 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 568, 0 in descending order.\nAnswer: 568, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 128?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + 0*y)*(y + y**2 + 6 - 5 + y**2) - 5*y**3 + 781*y**2 - 781*y**2.\nAnswer: -9*y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*a + 4*m - 13, -3*a + 3*m + 18 = 0. Let f(j) = j**2. Let q be f(-3). Let b = q - a. Solve -g + 6 = b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 310, 695, 1246, 1963, 2846?\nAnswer: 3895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 + -148 - -86)*2\/(-15) + (-112)\/3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 40. Let t be w(-10). Suppose t = -o + 108 + 136. List the prime factors of o.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -317. Let i = -173 - v. What is the nearest to 2 in -11, i, 1\/11, -4\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**6\/360 - m**5\/120 - 13*m**4\/24 + 4*m**3\/3 + 14*m. Let f(z) be the second derivative of j(z). Give f(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - 2334. Let x be 17\/(-85) + p\/10. Let u = -3855\/16 - x. Find the common denominator of 11\/16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5061 + 5043.508. What is z rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 1. Let p(u) = -u**3 + 12*u**2 - 11*u + 5. Let v be p(11). Let j be y(v). Let f(h) = 2*h**2 + h - 2. Is 9 a factor of f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1196 + 104. Let j = n - -1150.1. What is j rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/942 and 56\/9.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -18.13. Let o = s + -0.08. Let z = o - 0.05. What is the nearest to 0 in -0.2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*a + 79*a - 1200. Let p = -159 + a. Solve p*l - 3 = 44*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 125*g**2\/2 + 25*g + 52. Is 60 a factor of m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 31.5991?\nAnswer: 157.9955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:52 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 1171*u - 49 = -1175*u, -5*p + 5*u - 55 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/28)\/((-88)\/(-77)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -784528 by -116.\nAnswer: 196132\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365*c*k**2*t + 27237*c*k**2 - 8*c*k*t - 44*k*t + 69*k - 4*t wrt k.\nAnswer: -730*c*t + 54474*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163095923 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 14. Let o(a) = -2*a. Calculate y(o(g)).\nAnswer: -4*g + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + 7 + -7 + 3 - -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 6*v**2 - v - 2. Determine d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 2960*k**3 + 38 + 37 + 2989*k**3 - 5946*k**3 + 29.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5588 - -5590. What is the closest to -114 in s, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*n = -3*u + 123*n + 19, -4*u - 12 = 2*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, r: 1, v: 7, z: 2, x: 1}. What is prob of picking 2 z and 1 r?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/3 at most as big as -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 4 + 3*m**2 - 30*m**3 - 2*m**2 + 3 - 2*m**2. Is p(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {j: 3, r: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 3*k)*(7*k**2 + 15*k**2 - 4*k**2) + k**3 + k**2 + 0*k**3 + k**2.\nAnswer: 19*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2330 - -2329.7. Let h = 0.3 + -0.2. Which is the third biggest value? (a) -3\/8 (b) -15 (c) u (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 2754 + 2812 - 8367 + 2801.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11215 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6297158477 rounded to five dps?\nAnswer: 0.62972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - (-671)\/44. Suppose -2*t + k + 25 = 4*h, -2*h + 6 = 0. Let y(v) = -v**2 + 16*v - 23. Calculate y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v + 3 = -38*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a13854 (base 11) in base 3?\nAnswer: -10001211011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*x + 21 = 0, -5*k + 7*x = 3*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -55. What is the smallest value in y, 4, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 4 = 0. Suppose -2*d + 30 = 4*v, 30 + 34 = 4*d + z*v. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.615745 rounded to 1 dp?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384042 divided by -192021.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 69. Determine f(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36 - 11\/(22\/(-8)). What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4514563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p + 3. Let v(t) = 1415*t**3 + 39*t**2 - 10*t + 15. Let w(o) = 5*q(o) - v(o). Find the third derivative of w(i) wrt i.\nAnswer: -8460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/9, -0.0131, -1\/2, -6?\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69146 - -8860. Suppose 5*b - i = -b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q + 6 = -49*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4*x - 1803*v**4 - 4*v**3*x + 2*v**3 + 1151*v**2*x + 2414*v*x wrt v?\nAnswer: -48*v*x - 43272*v - 24*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.49 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r + 21*r. Is r less than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2781 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -250, -376, -502, -628, -754?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86420 - 518521\/6. Let h = 4 + 1. Let t = -3 + h. Which is the nearest to t? (a) z (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 891, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let f = 35 + -40. Let s be 2\/2 + 22\/(-26). What is the second smallest value in f, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11272, -45128, -101632, -180862, -282896?\nAnswer: -407812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12464 + -12464. Let k be (-4)\/(-3)*(-6)\/(-4). Solve k*f + 8 - 2 = p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 11*w**2 + 11*w - 3. Determine h(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -4*c - 12. Let k = c + -74. Let y = k - -43. Solve 2*d = 4*d - y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:43 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112303 - -14021114?\nAnswer: 13403311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 g when three letters picked without replacement from pgszgp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:55 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 - x**2 - 22*x - 1. Give d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**3\/6 + 2*f**2 + 2*f. Let n be z(8). Let u be 0 + (-7)\/n + -2. Which is the third biggest value? (a) 1 (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4 - 2303936*j**3 - 1327032576957*j**2 - 2654055938178*j = 0.\nAnswer: -1151967, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26087.72 hours in milliseconds?\nAnswer: 93915792000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6784.3 - 6786.3. Suppose 1 = 2*i - 7. What is the nearest to r in -4, 3\/4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 538782277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5728, -5727, -5726, -5725, -5724, -5723?\nAnswer: -5722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1928*k + k**2 + 2 - 1928*k.\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 25*m**2 - 11*m + 35. Is j(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(5*sqrt(5)))**2 - (1 + sqrt(704)).\nAnswer: -8*sqrt(11) - 14\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:33 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9817*u + 6*u**2 + 2*u**2 + 4780*u + 5037*u.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -612*x + 3733 wrt x?\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.9022192 - 25.9022276. Let c = -44 + r. What is c rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -148*a**2 - 21*a - 190. Let t(u) = -37*u**2 - 5*u - 42. Let n(m) = -9*t(m) + 2*w(m). Determine n(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 236289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 683008 and 15824?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*g + 31*g + 34*g + 35*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -2 + 10 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-297)*6)\/(2\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 8. Suppose c + 3 = 5, 0 = -4*t + x*c + 4. Suppose 0*o + 2 = 5*z - 2*o, -5*z = -5*o - 5. Solve 3*y - 4*y = 4*f + 20, z = 3*f - t*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(80) - (sqrt(80) - (sqrt(80) + (sqrt(80) - -4*sqrt(80)*3)))))**2*1.\nAnswer: -94080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 572 or 568?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 4:23 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) -1 (c) -1\/29 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + i + i = -15, -3 = -2*x - i. Let z(w) = 10*w - 3. Let l be z(x). Let s = l + -6. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/5 + (-10)\/(-25). Let k = -1 - -0.6. Which is the second biggest value? (a) k (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352476, 705642, 1058808, 1411974, 1765140?\nAnswer: 2118306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*o - 103*o + 11*o + 3775122 = 0. What is o rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 100. Suppose 643*b - 652*b = -2700. Suppose 2*t - 12*x + 7*x - 150 = 0, -4*t = 4*x - b. Calculate the greatest common divisor of t and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 726 (b) 5 (c) 47 (d) 1 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 548432714 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1190, -2111, -2760, -3137, -3242, -3075?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -21*n. Let q(g) = 136 - 5*g + 134 - 270. Give -2*i(a) + 9*q(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375195 by -75039.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, -151, -509, -1011, -1651, -2423?\nAnswer: -3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from grwqwdgwgqgdwgk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 10*n + 4*p - 2472004, -3*p = 3*n - 2472003. What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z + 39 + 37 + 33. Calculate the remainder when 36 is divided by v(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 12) to base 2\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.701 - -0.001. Let i = q + 4.7. Let o = 5 + -9. Put 2\/3, o, i in descending order.\nAnswer: i, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102012000 (base 3) to base 13.\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {b: 3, n: 4, o: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - o**2 + 15703*o + 8. Give d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100563 divided by 53?\nAnswer: -100563\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/9)\/(96\/(-144)))\/((-142263)\/108).\nAnswer: 2\/479","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c + 9 + 6 - 2*c**2 + 62*c.\nAnswer: -2*c**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = -3*h + g, -22*g = -16*g + 6. Put 4, 0, h in ascending order.\nAnswer: 0, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 12 - 44. Let t(o) = -o**2 - 5*o - 1. Let f be t(-4). Solve -2*b - f*d - z = -d, -3*d - 6 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2115, -2116, -2117?\nAnswer: -2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 3*w**2 + w**3 + 2*w**2 + (-956 - 50*w + 956)*(-w**2 - 227*w - w**2 + 173*w).\nAnswer: 101*w**3 + 2701*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 17*k**2 + 16*k - 44. Let p be s(-18). Let x be (-1)\/4 + 606\/p. Let w be (0 + (-10)\/(-4))\/((-19)\/x). Solve 4*d - w = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/17 (b) 363 (c) -14\/5 (d) -0.3 (e) 2\/11 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6620 - 6620. Factor -1\/2*m**2 + f*m + 0 + 1\/2*m**3.\nAnswer: m**2*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 1, i: 1, a: 1, g: 3, e: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7229385*p**2 + 17668939*p**2 + 5559318*p**2.\nAnswer: 30457642*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:59 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -10. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -75*s**8\/112 + s**5\/10 + 35*s**4\/24 + 40*s**2 + 12. Find the third derivative of r(p) wrt p.\nAnswer: -13500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 106*y**2 + 3*y - 44*y**2 - 1 - 45*y**2 - 2. Does 23 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2316838.629 to the nearest one thousand.\nAnswer: -2317000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/21 + 80*f**3\/7 + 306*f**2 + 49708*f\/21.\nAnswer: 2*f*(f + 17)**2*(f + 86)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*185355\nAnswer: 185355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/10 - (-208)\/10 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85302631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**4 + 25*w**3 - 69*w**2 + 14*w + 109. Let h(m) = -m**4 + 2*m**3 - 5*m - 1. Let j(c) = h(c) + p(c). Factor j(n).\nAnswer: -3*(n - 4)*(n - 3)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 420*w - 422*w + 1 - 1. Let c(x) = 34*x**2 - 2. What is a(c(g))?\nAnswer: -68*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -490 + 549. Let k = o + -58. Which is the second biggest value? (a) 0.2 (b) -1\/50 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 33*l**2 - 69*l. Let q(y) = 65*y**2 - 139*y. Let u(k) = 2*q(k) - 5*v(k). Find the second derivative of u(i) wrt i.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11847708 and 4590.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -147, -155, -177, -219, -287, -387, -525?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 405.\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1010222120021111?\nAnswer: -1010222120021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + 722.\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-12) - (-1 + 1). Let j be ((-92)\/69)\/((-2)\/81). Let t = j + -57. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 16899797 + 13401*w**3 - w + 2*w**2 + 16899797. Let y be 7\/(-5) + (-2)\/(-5). Let t be h(y). Round t to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tthbbhhwhbthh. Give prob of sequence whhb.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96643129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 0.02 (c) 7 (d) -0.1 (e) 0 (f) -13\/15 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2080)\/150 - -14)*3. Let k = 15 + -25. Let j = -6 - k. Which is the second smallest value? (a) p (b) 2 (c) j (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 2*m - 3*m)*(-8*m**2 + 56*m**2 + m**2) as s + r*m**3 + p*m**2 + d*m and give r.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1458, 1394, 1294, 1164, 1010, 838?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 126281870.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/12 + x**3\/3 + 3*x**2\/2 + 1384*x. Let i(k) = -k**3 - k**2 - 4*k - 5. Give -3*i(c) - 5*l(c).\nAnswer: 3*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -17*y - 3249. Let c(s) = -21*s - 3247. Give 4*c(t) - 5*j(t).\nAnswer: t + 3257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1524 and 635.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l + 20*l + 13 - 16 - 31*l - 21*l + 10*l + (1 - 1 - 2)*(0*l - 5*l + 4*l) as q + o*l and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 4*c - 5. What is the units digit of k(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 649\/116 - 39\/29. What is the common denominator of b and -7 - (0 + -8) - 62\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)\/(1\/(-2)). Let b be 4\/3 - m\/2. Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 373*j**5\/10 + 575*j**4\/8 - 3*j**2 + 4. Find the second derivative of z(k) wrt k.\nAnswer: 4476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -7 (c) 0.4 (d) -3\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1901538575.\nAnswer: 5, 113, 673111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -12 - -9) + (0 - 59\/(-10))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2185 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 40 = -10*s, 0 = a + 6686*s - 6687*s - 7 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 + 1.4.\nAnswer: 1.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/5 + 2\/5. Let w(y) = -7*y**2 + y**z + 3 + 3*y + 3*y + y - 5*y. Calculate the remainder when 32 is divided by w(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 1. Let p(n) = -6*n**2 - 5. Let k(u) = 5*b(u) - p(u). Let v(m) = 7195 + 28*m**2 - 7195. What is v(k(z))?\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.8 + -6.5. Put k, 0.15, 3 in decreasing order.\nAnswer: 3, k, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2426 or 575?\nAnswer: 575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-195)\/(-2184))\/(((-20)\/10)\/(4*1)).\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -151\/60*f**5 + 29\/8*f**4 + 0*f - 8*f**2 + 1\/6*f**3 - 2. What is the second derivative of i(c) wrt c?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 10800475?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.6 + -28. Let t = l + 0.4. Let a = 7 - t. What is the biggest value in a, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 532 - -65?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 1665*j = -1662*j + 32, 4*j = 3*b + 49 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 2:41 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0*g**3 + 0*g**3)*(4*g + g - 4*g) - 15*g**3 + 5*g**4 + 15*g**3 + 5*g**4 - 4*g**4 + 25*g - 104*g.\nAnswer: 7*g**4 - 79*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 108*l**2 - l**3 - 2*l + 2*l - 112*l**2 + 3. Calculate i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*c = 24, -4*w + 3*c = -w - 24. Suppose -v + 5*m = -30, 51 = -w*v + 9*v + 2*m. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 5*q**2\/2 + 3*q - 6. Let j be s(5). Let w = j - 17. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325759 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 2*w - 5 - 43*w**2 + 16.\nAnswer: -43*w**2 - 3*w + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 6*o**2 - o - 6. Let n = 18 + -13. Suppose 3*f + k - 4 = n, f + 2*k = 3. Suppose -1 = f*r + 17. What is p(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/5, -7, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90885 divided by -415.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:23 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6\/5, -1, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -25*j - 261. Determine s(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 12 = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 23. Let k(z) = 5*z - 2. Calculate the remainder when k(w) is divided by 4\/22 + 595\/55.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6))\/(5*3\/50). Solve -c*f + 23 = 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/6*6\/4. Let o be (-1)\/v - 2\/(-72). Let p = 0.7 - 0.8. Which is the smallest value? (a) -1\/5 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388705116.\nAnswer: 2, 3, 19, 1704847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:32 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let n = y + 4. Suppose 3*l + u = -3*u + 74, -u = l - 26. Solve -4*r - t = t + l, -2*t - 20 = n*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1a909588?\nAnswer: -1a909590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -317*r**2 - 21 - 2*r + 23 + 10*r - 5*r - 5*r as x + z*r**2 + a*r and give z.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21698, 22137, 22860, 23861, 25134?\n\"Answer: -h**3 + 148*h**2 + 2*h + 21549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 15, -0.063, -2\/7, 156\/37?\nAnswer: 156\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.4177752912 and -0.3.\nAnswer: 1.1177752912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-2\/11))*v*v**(-1\/4)*v)**(-33)*(v**(-6)*v\/(v*v\/(v*v**(1\/6)*v)))\/(v*v\/v**(4\/11)*v*v\/(v\/(v*v**5))) assuming v is positive.\nAnswer: v**(-10193\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/10 - (-6)\/(-10). Let o(k) = 5*k + 3*k - 2*k**2 - 8 + 9 - 4*k. Let a(l) = -5*l**2 + 9*l + 2. Calculate f*a(j) - 9*o(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3992838*d**3 - 12595301*d**2?\nAnswer: -23957028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 1:22 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -675*y**5 + 13607*y**3 + 4687561*y?\nAnswer: -13500*y**3 + 81642*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/((-325)\/(-104)) + 22. Solve -41 - 29 = r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*j + 688 + 292, 0 = 5*j - 5. Let o = 98 - m. Let q = 396 - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 6?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4 (c) 5 (d) -18\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 - 19*h**2 + 4*h - 6. Give a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 915655 and 25638340.\nAnswer: 25638340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4739 - 4738.7. Let j = -2\/153 - 566\/3519. Let p = j - -74\/161. Sort -0.06, b, p in decreasing order.\nAnswer: b, p, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01142532068 rounded to four dps?\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 2100248*s**2\/3 - 183792702478*s + 367588205292.\nAnswer: -2*(s - 2)*(s + 525063)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 3 + (-15 - 0) + 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53, 156, 393, 830, 1533, 2568?\n\"Answer: 11*n**3 + n**2 + 23*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = -z - 1, -5*z + 50 = 5*p. What is the units digit of (z\/4 - 3)*68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 10 = -26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13 - 13 - 3*m + 2*m. Let b(f) = -2*f**2 + f**3 + 3*f**2 + 2*f - 1 + 0*f + 0*f**3 - f. Let y(u) = -u + 8. Let w be y(7). What is w*i(v) + b(v)?\nAnswer: v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.5 (c) 0.078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 28*z**2 + 3*z + 1. Let t(q) = 114*q**2 + 18*q - 40. Let n(y) = 4*b(y) - t(y). What is n(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287265 is divided by 8705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from qssnqsnssssnq?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129931.\nAnswer: 17, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/684798 and 43\/372434?\nAnswer: 21228738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 17. Let x be k(-12). Suppose y - x = -5. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1746.5 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 145*j - 146*j + 22*j**2 + 14*j**2. Let d be z(1). What is the greatest common divisor of 210 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19725858 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75) - sqrt(3)) + (sqrt(75) + sqrt(75) + sqrt(75) + -2)**2 + -1*sqrt(48) + (sqrt(108) + 3)**2.\nAnswer: -24*sqrt(3) + 797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 25. Let q(z) = -46*z**3 - 2*z**2 - 3*z - 2. Let n be q(-1). Calculate the greatest common factor of v and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -21684.\nAnswer: -25\/10842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*p**4 + 43*p.\nAnswer: -408*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lglllg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -5)\/9*-24. Let s(x) = 5*x**3 + 8*x. Let f(z) = -38*z - z**3 + 43*z + 4*z**3. Calculate o*f(j) - 5*s(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22498 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/1 - 1)\/(2\/12). Let u = 33 + f. Solve -16 = 2*c - u*v, 0*c + 3*v + 14 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/((-187)\/(-66)) + 2. Let o = -8 - -11. Sort o, y, 0.1, -1\/2.\nAnswer: y, -1\/2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 30*p**3 + 21. Let m = 1 - -1. Suppose -7*x = -2*a - 2*x - 1, -3*a + m*x = -4. Let o(d) = 3*d**3 + 2. Calculate a*c(w) - 21*o(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*r + 56, 0 = -3*s - 0*r - 2*r + 142. Suppose 2*p = 0, 2*h - s = -4*p + 2*p. Let m = -10 + h. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 94*o - 106*o. Solve 6*c = 4*c + 4*m + 18, 2*c = -3*m - o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l - 0*c - 2*c, 60 = 5*l - 4*c. What is the second derivative of -16*n + n**2 - 7*n + l*n**2 - n**2 wrt n?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s - 138. Let d(z) = z**2 + 3*z + 8. Give -d(n) + 6*u(n).\nAnswer: -n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 22 = -14. Let i be (j\/8)\/((-3)\/20). Suppose 7 + 49 = 7*v. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*y - 4*y - 35 = 0, 5*o - 2*y = -46. Let m(c) = -65*c - 5 + 62*c + 14. Let j(v) = -7*v + 19. Let g(s) = 6*j(s) - 13*m(s). Determine g(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201001000 (base 3) to base 14.\nAnswer: -1c811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20104, -40176, -60242, -80302, -100356, -120404, -140446?\n\"Answer: 3*d**2 - 20081*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 15. Let p(q) = 5*q**3 + 3*q**2 - 3. Let h(b) be the second derivative of b**5\/20 + b**4\/12 - b**2\/2 + 2*b. Give k*h(u) - p(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m - 110 = -5*b, -66 = -3*b - m. Let p = -18 + 21. Suppose -38 = -5*k + 4*a, p*a - 2 = -8. What is the remainder when b is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-175)*28\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 - 426*f**2 + 277*f**2.\nAnswer: -149*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 divided by 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Suppose 8*j - 5 = s + w*j, -2*s + 3*j = 0. Solve 2*f + 10 = -3*q, -q - s*f + 3 - 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3042 - 3041.99999375. What is z rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 5. Let s(i) = 8*i + 16. Calculate -2*s(y) - 7*x(y).\nAnswer: 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.4. Suppose 4*p = 2*o - 7*o + 16, o + 4*p = 0. Sort g, o, -4 in ascending order.\nAnswer: -4, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**2 + 67*d - 29. Calculate the remainder when 972 is divided by a(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 3*n - 2. Let o be p(-4). Let u = o + 16. What is the least common multiple of u and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose -5*d + c*d + 6 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1199820 (base 10) to base 5.\nAnswer: -301343240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16338\/73 equal to 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = 5*w + 151. Let x be w\/(((-24)\/(-172))\/(-3)). Suppose -5*a + x = -2278. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15028679, -30057362, -45086045, -60114728, -75143411, -90172094?\n\"Answer: -15028683*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1350 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1411, 11139, 27353, 50053?\nAnswer: 79239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -212456625 + -5?\nAnswer: -212456632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 - 1 - g**2)*(-53*g - 48*g + 32*g) in the form a*g**3 + z + i*g + k*g**2 and give i.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 + -10110010101110?\nAnswer: -10110100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105529218 to the nearest integer?\nAnswer: 10273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 6. List the prime factors of n(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -845, -1424, -2003, -2582, -3161?\nAnswer: -3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -17, 2, 24\/11, 2\/3?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.60000013 + -1.6. What is t rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**2 - 4 - 4*j + 11*j + 4 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + -304460?\nAnswer: -304423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156404\/1889 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -14*c**2. Let o(t) be the first derivative of -3 + 0*t**3 + 4*t**2 + 0*t - 1\/12*t**4. Let i(v) be the second derivative of o(v). Give i(m(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96684338 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7977.\nAnswer: 3, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 267.\nAnswer: -1\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105211 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79312 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - x**2 + x. Let j be 2 - (0 + 0) - 1. Let n be d(j). List the prime factors of (-40)\/(-6) - 2\/n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 + 3*x. Let b(n) = 450442*n. What is b(v(l))?\nAnswer: 3603536*l**2 + 1351326*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10491946 to the nearest integer?\nAnswer: 3239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 + 0)) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 400702*l + 2003454. Give s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426825193.\nAnswer: 389, 1097237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -1.02. Let n = v + -1.82. Let z = 2 + n. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (616\/(-55) + 9))\/((-6)\/15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -621750, -621765, -621794, -621843, -621918, -622025, -622170?\n\"Answer: -q**3 - q**2 - 5*q - 621743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o + 53*o - 95*o + 2 - 5*o**2 in the form n*o + f + q*o**2 and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -25. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 0*v)*(-4 - 2 + 5) - v + 0*v + 2*v - 3875*v + 7750*v - 21 - 3827*v.\nAnswer: 50*v - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1995\/16 or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 3*r + 3. Let y(w) = -4*w**3 - 13*w**2 + 153*w + 8. Let u be y(-8). Calculate a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30168336 and 1584.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2287*k - 82342. What is y(36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 5. Find the second derivative of 10*v**z + 10*v**3 + v - 10*v**3 + 2*v**5 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 417*a**6 + 2*a**5 - 15*a**4 + 3*a**3 + 403*a**2. Let b(l) = l**6 - 5*l**4 + l**3. Let x(p) = -3*b(p) + r(p). Find the third derivative of x(g) wrt g.\nAnswer: 49680*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*h + 41 = 56*d + 681*h, -3*h - 2 = 4*d - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16651.9233 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101133332 (base 4) to base 6\nAnswer: -1311502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4681*m - 144733 + 697091 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 9 = -m. Suppose -26*b + 24*b = -48. Let v = m + b. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 18 = 2*q, 4*q + 3737072*l + 45 = 3737065*l for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 574, 573, 572?\n\"Answer: -q + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/(-15) + ((-1)\/(-6) - 78\/(-180)) + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -16092*l + 230. Let n be t(-10). What is n rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701535 a multiple of 1235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6566587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 93 = 93. Let b be w\/(-33) - 2\/(-11). Suppose -22 = -5*a + b. Solve -3 = 4*v + a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54723, -54803, -54919, -55089, -55331, -55663, -56103, -56669?\n\"Answer: -3*a**3 - 59*a - 54661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.2 (c) 405 (d) 2\/3 (e) 6 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(275) + ((sqrt(275) - (3 + sqrt(275) + sqrt(275)))*6 - sqrt(275)))**2*4.\nAnswer: 4320*sqrt(11) + 40894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 229 = 1132. Let g = -294 + m. Solve -z + 5 = 0, -2*a = -g*a - z + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4065\/2? (a) 2\/5 (b) 2 (c) -1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) 1\/4 (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 18, 16, 16, 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v - 21. Let h(s) = -13*s + 40. Give -2*h(b) - 5*y(b).\nAnswer: -4*b + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31129, 31152, 31199, 31270, 31365?\nAnswer: 31484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 28.\nAnswer: 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:33 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 100, 224, 374, 562, 800, 1100, 1474, 1934?\n\"Answer: 2*n**3 + n**2 + 107*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1498 + -1499. Let h = -0.71 + -0.19. Let x = 4.1 - h. Which is the closest to 1? (a) x (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k + 55 = 18*k. Let j be 2 + (-14)\/8 - k\/4. Let f be (-1 + 2\/6)*-3. Solve -2*c + 13 = -3*x - f*x, -j*x - 3*c + 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 13593678 + 13593678.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714200 and 114272?\nAnswer: 2856800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/28))**(-20)*(t\/(t\/t**0))**(3\/10))**27 assuming t is positive.\nAnswer: t**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 - 3) + (0 - 3). Suppose 2 = -n + z + 3, -2*n + h = z. Suppose -247 - 56 = -n*o. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:02 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 196, 433, 764, 1189, 1708, 2321?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -3*i**7\/14 + i**4\/12 + i**3\/2 - 25*i**2\/2 - 36*i. Find the second derivative of h(s) wrt s.\nAnswer: -180*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(256\/16))\/(-6)*1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 18*n = -5*q - 2, 3*n + 5*q + 8 = 0. Let g be (n + 14\/4)*(-55 - -57). Solve 0*h - g*h + 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 7*t. Suppose t = -6*l + 2*l + 8. Solve -l*u + 11 = 5*v, -5 = -2*v - 3*v - 5*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-696)\/192 - 4\/(-1)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/105435 and -35\/6?\nAnswer: 210870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n*o*z**2 - 3*n*z**3 + 300747*n*z - 14*o*z**2 - 57*o*z - 2*z**3 - 29*z - 1 wrt n?\nAnswer: o*z**2 - 3*z**3 + 300747*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132.87 + 127.9281. What is x rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(300) - (sqrt(300) + 0))*6 + sqrt(300))*2)**2 - (1 + 1 + (0 + sqrt(300) - sqrt(300)) + 2)**2.\nAnswer: 29984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.6587g to micrograms.\nAnswer: 288658700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, a: 1, y: 1, j: 1, k: 1}. What is prob of picking 1 r, 1 k, 1 a, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -844.5 - -845. What is the second smallest value in 0, 1, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose f = 4*q - q - 57. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 24 + 6 + (-13 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {m: 2, a: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from rryycryyyccyrrc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.299884 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19808.01665 rounded to the nearest 10?\nAnswer: -19810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyn when three letters picked without replacement from eeneeenuyeyeyyeyyy?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 + 5*h - 10. Let k be l(2). Which is the closest to -3? (a) k (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318368386 to the power of 1\/3, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8876 and 224?\nAnswer: 71008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-15))\/(3\/(-10)). Let x(o) = 38*o + 695. Let i be x(-18). Find the first derivative of -36*q**4 - i + 8*q**t + 34 wrt q.\nAnswer: -112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 2 + 1294 = 0. Calculate the highest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16045550 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518*h + 517*h = 3. Sort 2, -2, h, 4 in ascending order.\nAnswer: h, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92.16 - -92.1. Sort -5, b, -1, 0.2 in increasing order.\nAnswer: -5, -1, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 + -2.7. Which is the closest to -1? (a) z (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.3. Let j = 7 - 7.7. Let x = k - j. Is -2\/7 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = 5*p, -1 = -4*k + 3*p - 2. Suppose -7 = -3*m + b, -3*m + 10 + 0 = -4*b. List the prime factors of 10 + k - (m - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/25*(-2430)\/648)\/(9\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 36*i**3 - i**2 + 1. Let q be p(1). Let x = q - 18. What is the greatest common divisor of 162 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1455 + -72753\/50. Is v equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from szzwzwzwwwsws?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 - 8*z**2 + 1. Let l(p) = p**3 + p**2 - 1. Let j(g) = 6*l(g) + q(g). Let m be j(3). Solve m*n + 4*i + 4 = 0, -n - 3*n + 26 = -2*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/(6*(-8)\/660)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*2 + -2)**2 - (sqrt(30)\/(sqrt(10) - -2*sqrt(10)) + (sqrt(3) + sqrt(15)\/(sqrt(10)\/sqrt(2)))**2).\nAnswer: -217*sqrt(3)\/3 + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-4)\/9*3. Suppose 2*m + 2 = 2*c, 4*m - a*c = -9*c + 5. Suppose m = -9*n + 7*n + 8. Calculate the remainder when 17 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 533 (base 10) in base 16?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231121 (base 5) in base 7?\nAnswer: -223160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 8*p + 0*p - 6 + 8*p. What are the prime factors of q(4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 7}. What is prob of picking 4 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2100 and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**3 - 2*l - 14. Let j = -12 - -17. Let p(w) = j - 5*w - 5. What is -7*p(o) + 6*q(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 2220875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -93b3 + a9?\nAnswer: -9306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 610 - 565. Factor -h*n + 216 + 12 - 90*n - 89*n - 4*n**2.\nAnswer: -4*(n - 1)*(n + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/212385740 and -27\/28490770.\nAnswer: 2336243140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*b - 549*b = 164*b + 49008 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16625 and 18943?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 12 + 0*p**4 - 260*p + p**4 + 12 + 262*p - 27*p**3 in the form d*p**3 + t*p**2 + q + b*p**4 + s*p and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858*p - 1856*p + 3*d = 54, 60*d = 4*p - 240 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*q - 669*q = -1315*q - 1120 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = 0, -6*i + 3*i + 1793 = -2*a. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**3 + 612*d**2 - 8174*d - 19541001 wrt d?\nAnswer: -3*d**2 + 1224*d - 8174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:20 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2. Let j(x) = -4467*x - 4363*x + 15109*x - 4591*x. Determine j(r(l)).\nAnswer: 6752*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:17 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3538 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -392?\nAnswer: 78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*x - 212*x - 1224*x - 230*x + 1882*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -41 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + ((9 - 16) + 22 - 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 37. Let i = w - -39. Let n = 17.99955 - i. What is n rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -174\/448955?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.301, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 806 - -706. Suppose -2*j - 3*a = -7*a - 3052, -j - 5*a = -c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 13 = -4*i. Sort i, 15, 4.\nAnswer: i, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d6ce9 - -c?\nAnswer: 1d6cf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/((-256)\/(-133504)*149)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 424949.4 nanograms?\nAnswer: 424.9494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 8*l**5 + 120*l**4 - 142*l**3 - 204*l**2 + 314*l - 96 = 0.\nAnswer: -16, -3\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 9*u + 15. Let b be v(-6). Let p be ((-4)\/6)\/(b\/9). Which is bigger: p or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from lvllvll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-10)\/(-700))\/((-1)\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 4*m**2 + 6*m + 5. Let b be j(-5). Suppose b*a - 3*a + 3 = 0. Let x = a - -4. Solve 2*z = -2*g + 4, -2*z = -z + x*g - 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -109*a + 2018. Let x be q(14). Calculate the highest common factor of 132 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -4.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-12)\/(-18)*(-18)\/(-8)). Let f be (-1691)\/(-2) + k\/4 + 2. Suppose f = 25*r - 19*r. Calculate the remainder when r is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/4)\/l)\/l*l\/(l*(l\/(l*l\/l**8*l))\/l))\/(l*l**(5\/6)*l*(l*l\/(l**(-1\/86)\/l))\/l) assuming l is positive.\nAnswer: l**(-5725\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-5) + -2)*(17 + -26)\/(-9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 15. Let w(t) = 1. Let z be (-4 - 27\/(-6))*4. Suppose 0*s = -z*s - 3*g + 24, -5*s - 3*g = -69. What is s*w(a) + n(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**2 - 2*a**3 - 4*a**2 - 2*a**3 - 3. Let x = -20 + 25. Let z = 11 - x. Let v(q) = -q**3 + q**2 - 1. Calculate z*v(g) - 2*p(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000.4 rounded to the nearest ten?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a539 (base 16) to base 13.\nAnswer: -361030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71597.\nAnswer: 71597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14475843 is divided by 82249.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 + (-1058)\/(-96) + -68 + (-3770)\/(-58))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**3 + 16*d - 6. Let m(z) = 1. Calculate -k(q) - 5*m(q).\nAnswer: 9*q**3 - 16*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21105 divided by 348.\nAnswer: -7035\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -93, -159, -237, -327, -429, -543?\n\"Answer: -6*t**2 - 36*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*p = 12, v - 6 + 0 = p. Suppose -49 = -v*y + 51. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (382 - 383)\/(0 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 98. Let q(b) = 3*b**3 - 31*b**2 - b + 144. What is the remainder when a is divided by q(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*r**3 - 196*r**3 + 32*r + 24*r + r**2.\nAnswer: 447*r**3 + r**2 + 56*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-16))\/((-125)\/(-20) - -2). Which is greater: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 186291861*-0.4\nAnswer: -74516744.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18991751 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22302*w**2*y**2 + 209*w**2 - 11*w*y**2 - 5233*w + 20*y**2 + 24 wrt y.\nAnswer: 44604*w**2*y - 22*w*y + 40*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -684 - -1249. What are the prime factors of r?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05932103 + 0.\nAnswer: -0.05932103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2747 = -4*j + 2725, 0 = -4*j - 10*y - 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 4:34 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/50)\/(4544\/355).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - 8 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 1212265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -25. Let o(t) = -3*t - 18. Let l be o(-8). Is ((-5523)\/l)\/(8\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146781 and 2350?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*m - 8, -m - 2*m = -15. Suppose 5*q - 29 = -o. Solve -4*w - 8 = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2\/5, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.97 + 0.03. Let w(b) = -2*b**2 - 9*b + 8. Let d be w(-5). Let x be (-2)\/6 + (3 - d). Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.007928 - 0.450612. Let r = f - -0.46. Round r to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 6. Let n be z(0). Let s = -8 + 13. Let a be 34\/(-765)*3 + (-146)\/30. Sort a, s, n, -2 in ascending order.\nAnswer: n, a, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - q**3 - 2*q + (-2*q + 6*q - 2*q)*(269*q**2 + 26477*q - 26477*q) + 2*q**3 + 3*q - 3*q.\nAnswer: 539*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (102 - (9 + 68))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/29641366 and -15\/1036.\nAnswer: 414979124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -10, 1, 5, -3\/5, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 + 1. Let x = 1132 - 1147. Let p(m) = -9*m**3 - 5*m**2 - 5. What is x*t(q) - 3*p(q)?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/(-7) + 4\/14. Let q = -23 - -43. Let o = t + q. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 61 + (-8 - (-9 - 15)) + -20.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8909161 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 12) to base 8\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 49. Suppose -4*z - s = -9*z. Let p(b) = -1 + 2*b**2 - 1 - 4*b - 3. What is p(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppapppwzwpwpo. Give prob of picking 1 w and 1 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from cmccmmmmccmmmmcc.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 556667249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -5.1. Let u = -16.12 - 149.68. Let w = u - -166. Which is the second biggest value? (a) w (b) n (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*h - 214 + 233 = 0, -2*x = 2*h - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*i)*(-1 + 4 + 1)*(-5*i - 2*i + 3*i) as y*i**2 + m + k*i and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -17, -0.4, -25, -11, 0.16, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -0.5, 0.2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1454 + -1440. Solve 0 = 6*l - d*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/13668868 and 27\/4912.\nAnswer: 54675472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5 + 2*o)*(-4 + 10 - 1147*o + 1146*o).\nAnswer: -2*o**2 + 13*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 13*r + 2. Let k be q(-13). Suppose -5*o + k = -43. List the prime factors of -30*-1*3\/o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(176))**2*-3 - sqrt(176).\nAnswer: -2112 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cb76 (base 13) in base 6?\nAnswer: -1115201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2809, -3 in descending order.\nAnswer: 2809, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-505)\/(-15))\/((-1)\/(-12)). Let z = -614 + f. What is the remainder when (14\/(-4))\/(15\/z) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5.9971 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) -5 (c) 1\/41 (d) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 37*w - 408. Let b be t(15). Suppose 14*z + 858 = 20*z. Solve -z = -c - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10224697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**2)*c\/(c*c**0))**(-47)\/(((c\/c**(-4))\/c**1)\/(c**(-1))**47) assuming c is positive.\nAnswer: c**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0 + 0*q + q**3 - 7\/24*q**4 + 6*q**2 - 1\/30*q**5. Let r(n) = 1 + 2*n**2 - 6 + 6*n + 0*n**2. Calculate -5*o(s) - 6*r(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -4. Suppose 5*z - 2*f = 4*z - 31, -5*f = -z - 46. Are z and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.7?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadetde. What is prob of picking 1 a and 2 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 17*l**2 + 16*l - 38. Let t(y) = -2*y**3 - 32*y**2 - 33*y + 76. Let u(d) = 2*t(d) + 5*v(d). Does 22 divide u(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjssjsjj. What is prob of sequence wsj?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 966, 1424, 1882, 2340?\nAnswer: 2798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-o - o + 4*o) + o + o - 13*o - 2*o + 6*o - 3*o + (o - 2*o + 2*o)*(-4 + 5 - 3) + o + o + 0*o + 2 - 2*o - 2.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423842 + -423839. Determine z, given that -5\/4*z**v - 3\/2 + 11\/4*z + 3*z**2 = 0.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**4\/42 + w + 6. Let n(q) be the first derivative of z(q). Factor n(k).\nAnswer: 2*k**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttntnttttntt. What is prob of picking 2 t?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0259707574 to 5 dps.\nAnswer: 0.02597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4988)\/129 + 39)*(-741)\/(-209).\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, -7, -4, -5 in descending order.\nAnswer: 23, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28389 times -0.9?\nAnswer: 25550.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21120221021 (base 3) in base 7?\nAnswer: -1161364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14442439 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50559800 rounded to the nearest 100000?\nAnswer: -50600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6423 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*d + 2518 + 12464. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.6. Let j be (1\/15)\/(14 + (-959)\/70). Let k = -5 + 5.3. What is the third smallest value in k, j, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 1:58 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 66 - 14. Suppose -2*b - 9 = -a. Solve -5*z + 12 = -b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2112365 to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17682.\nAnswer: 2, 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 6*q**2 + 6*q - 5. Let r be l(-7). Suppose f = r + 3. Let i be (-20)\/f + 0 - 42\/(-10). What is the second smallest value in 0.3, -0.4, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 10) in base 3?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3\/3 - 3*u. Let q(c) = c + 10. Let i be q(-7). Let o(b) = 5*b + 2*b - i*b. Calculate o(x(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3288, -3, 5, 0 in descending order.\nAnswer: 5, 0, -3, -3288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c + 157*c + 635 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56325.\nAnswer: 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 4*v + 4*v)*(-11*v - v - 3*v - 4*v**3).\nAnswer: -8*v**4 - 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 1)*(348*x**2 + 9*x**2 - 37*x**2)*(-1 - 1 + 4) to the form z + t*x + q*x**2 and give q.\nAnswer: 2560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134784 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 14 = 4*r, q - 1 = 4*r - 0*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.165354 take away -0.4?\nAnswer: 0.234646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**3 + 4*n**2 - 116*n + 70. List the prime factors of t(11).\nAnswer: 2, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742.7444 rounded to one dp?\nAnswer: 2742.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, 41439, -4 in descending order.\nAnswer: 41439, 25, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 12 = 0. Suppose 2*x = -y + 51. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q = -67*q + 468 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3 - (0 + 3)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let r(o) = -13*o - 19. Let x(u) = 4*h(u) + r(u). Let y(l) = 3*l + 8. Let i(k) = -4*x(k) - 11*y(k). What is the derivative of i(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 8*w**4 + 4*w**3 - 96*w**2 + 80*w + 64 = 0.\nAnswer: -4, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -236980, -473963, -710946, -947929?\n\"Answer: -236983*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 4*q**2 - 5*q + 5. Let k be w(5). Solve -1 - 10 = -u - 3*z, -k*u + z = -7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z + 62. Let n be h(12). Let u = n + 151. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17681.\nAnswer: 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + 187\/(-154). Put 1\/6, o, 1\/5, -4 in decreasing order.\nAnswer: 1\/5, 1\/6, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*v - 318 = 0, -33*g = -29*g + 2*v - 422. Let h be (-124)\/(-30) - (15 + (-1561)\/g). Solve -h = 2*o - 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9176527.\nAnswer: 31, 296017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1970 + -518. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 1:33 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6494*i + 337079 - 12379 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1677, -3333, -4977, -6609, -8229, -9837?\nAnswer: -11433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1180995*n - 91550. Let t(k) = 26*k + 2. Let r(y) = -b(y) - 45775*t(y). Let a(p) = p. What is r(a(w))?\nAnswer: -9155*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-735))\/(11 + 237\/(-21))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -3*w**4\/4 + w**3 + 3*w**2\/2 - 3*w + 3. Factor s(r).\nAnswer: -3*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)*(l\/(l\/((l*l*l*l\/(l*l**(-20))*l*l)\/l))*l)\/l)\/(l**(-1\/4)*l**(-3\/5)\/l))**(48\/11) assuming l is positive.\nAnswer: l**(4284\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/4 + 4110003*v\/2 - 5630708220003\/4 = 0 for v.\nAnswer: 1370001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 653.2 and 6.7.\nAnswer: 4376.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1762.196836 and 0.07.\nAnswer: -1762.126836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9490 + 187373. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 48 = -53*p. Let q(i) = -7*i**3 - 3*i**2 - 7*i - 6. Let a(z) = 6*z**3 + 2*z**2 + 6*z + 5. Give p*a(s) - 5*q(s).\nAnswer: -s**3 + 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1792 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -267643 divided by 2?\nAnswer: -267643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from qdqddqdjuqjuquqdquu?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -5*d - 22. Let g be ((-130)\/40)\/((-2)\/(-8)). Let j = d + g. What is the greatest common factor of 40 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqzqzzzzzzzzqzzzzz. What is prob of picking 2 q?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -334, -772, -1396, -2212, -3226, -4444, -5872?\nAnswer: -7516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43366398*v**3 - 3*v**2 - v + 271657?\nAnswer: 260198388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - -28 - -3 - 20?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/10)\/((-4)\/20). Let s = k - -8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688.1626 months in years?\nAnswer: 224.01355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 143*k. Let z(d) = -9*d. Let o(u) = 2*p(u) + 33*z(u). Let t(n) = -n**2. What is o(t(h))?\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose 0 = h + n - 9. Let z be ((-1)\/12)\/(h\/16). Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -3423\nAnswer: 8\/3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1004)\/5522)\/(3\/22))\/((150\/27)\/(-1)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 8, -4*j - 2*l - 2*l = 24. Let w be j\/(5 - 1)*-21. Solve -2*h + 5*o = -0*o + 23, 3*h - 3*o = -w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/16 + 3)*-4 + -3. What is the hundreds digit of (0 - g) + -4 + 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.49787 less than -0.09?\nAnswer: -762.58787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 4:11 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5574*l**4 + 6*l**3*n**3 - 61542*n**3 with respect to l.\nAnswer: 22296*l**3 + 18*l**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvgu when four letters picked without replacement from sufvgsup.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -8402\/293 = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.05835?\nAnswer: 0.005835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -7. Let m(h) = 0*h**2 + 0 + 1 + 3*h - 2*h**2 + 1. Let s(l) be the second derivative of 2*l**4\/3 - 13*l**3\/6 - 4*l**2 + l. Give v*m(a) - 2*s(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199423769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 + 60*j**4 - 1765*j**3 + 7320*j**2 + 6980*j - 30240 = 0 for j.\nAnswer: -27, -2, 2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b**2 + 2*b + 1. What is the remainder when j(-1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 10022954?\nAnswer: 2\/5011477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = 3*n + 5*b, n + b = 3*b - 102. Let f = 45 - n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 75*i**3 + 429*i**2 + 432*i + 3. Calculate w(-1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**5 + 4*b**4 + 18*b**3 - 8*b - 2. Let x(l) = -6*l**5 + 4*l**4 + 18*l**3 - 8*l - 3. Let p(h) = 6*u(h) - 4*x(h). Suppose p(t) = 0. Calculate t.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 0.161.\nAnswer: 0, 0.161, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 39765578.8 to the nearest ten thousand.\nAnswer: 39770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 - 5*u**3 + 2*u**3 + (0*u + 0*u - 2*u**2)*(-10*u + 0*u - 8*u) to a + r*u + n*u**2 + f*u**3 and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12760 and 12188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 8*n**2 - 18*n - 5. Let s be g(-4). Suppose -4*q + q = s*i - 27, 3*q = 3*i + 3. Suppose -d + 64 = 3*d. Solve 0 = q*a - a - d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34181 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -419 + 425. Put -1, 0, p in descending order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 5, 0.31, -0.5, -1 in descending order.\nAnswer: 76, 5, 0.31, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.9264413 milliseconds?\nAnswer: 0.000032107355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 16. Suppose 29*c - 26*c + 45 = 0. Let o be c*(-6)\/30 + 3\/(-1). Is l(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19767 = -3395*t + 402*t + 172410 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 22*f**2\/3.\nAnswer: 2*f**2*(f + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from {y: 12, f: 7}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(91) + sqrt(91)*-1 + sqrt(91) - sqrt(91)) + sqrt(91)))\/sqrt(7).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21115677 and 1749?\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -2*u**4\/3 + 191*u**2\/2 + u + 118. What is the hundreds digit of l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 1. Suppose 4*k - 5*a = 2*k - 5, 0 = 3*k + 2*a - 2. Calculate j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbyr when four letters picked without replacement from hruyygrbubub.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12022001330 (base 4) to base 14.\nAnswer: -300260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9504, -19187, -29232, -39819, -51128?\n\"Answer: -30*q**3 - q**2 - 9470*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 7427359\nAnswer: 14854718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3))**3 assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 9 + 4 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaoavvvoavavaovo. What is prob of sequence avo?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 5*b + 6 = d, d + 4*b = -12. Suppose 5*c - 2041 = 2*k, -k + 4*k - 6 = d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: e6 (base 16) to base 2\nAnswer: 11100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 1. Let g(j) = 4*j + 1. Suppose -s = -3 + 1. Calculate s*g(k) + 3*u(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/(-4))\/7*54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-25 - -12) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:12 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1368.76\nAnswer: -6843.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -516 + 520. Let r = 181\/1470 + 1\/98. Let b(y) = y**3 - 11*y**2 + 11*y - 12. Let o be b(10). Sort -2\/19, o, r, i in decreasing order.\nAnswer: i, r, -2\/19, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/102?\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 36*x**2 + 116*x + 1631. What is b(-34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-3) + 7)\/1. Suppose s - m + 4*m = j, -5*m = -2*s + 7. Suppose b = -2*v - s, -3*v + 3 = -5*b - 1. Sort b, 0.5, 0 in ascending order.\nAnswer: b, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120589 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5530 = -64*b + 99*b. Solve -b*d = -152*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7645832053\/2160 + -3539737. Find the common denominator of 181\/1920 and b.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/7))**(-3)*(q**(-1\/5))**(1\/11) assuming q is positive.\nAnswer: q**(-1327\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + -106. Let t = 0 - 1. What is the closest to t in h, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a8a (base 12) in base 11?\nAnswer: -7720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/2 (b) -0.3 (c) -4\/3 (d) -0.4 (e) 0.185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217228 + 449354 = -6261*w + 9177 for w.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.78 - -109.56. Let r = 5.48 - h. Round r to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -533325514?\nAnswer: 533325500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3\/21)\/((-20031)\/(-654346))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:19 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*n = -2*r + 25, -5*r - 5 = n. Suppose r = 2*b + 5*k + 7, -5*b + 23 = 4*k - 5*k. Solve -b*t = -5*m + 24 + 1, 2*m = -2*t + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/((-1)\/(-2)). Let f be 41\/(-13) + (-22)\/(-143). Let c = f - o. Let q(r) = 5*r**2 - 2*r - 1. Calculate q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1899966738 to the nearest 100000.\nAnswer: -1900000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + 3*i)*(10*i + 0*i - 17*i)*(0 + 1 - 2).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 2*h = -19. Let f(y) = -y. Let z(u) be the third derivative of -u**4\/6 + u**3\/3 + 2*u**2 + 84*u. Determine h*z(c) - 5*f(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -47. Let p(r) = -r**2 + 2*r. Let g(x) = -x. Give w*p(u) - 2*g(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, 99, -5?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83586.2 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.3, -2, 72, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:48 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) -0.03 (c) -2\/11 (d) -0.4 (e) 0.029\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 125 - 11*h + 12*h + 24*h. Let n be m(-5). Suppose -2\/9*l**3 + n + 2\/9*l - 2\/9*l**2 + 2\/9*l**4 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*o**4 + 7*o**2 + 91*o**4 + 7*o**3 - 9*o**2 as p + y*o**4 + q*o**2 + m*o + h*o**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 12*r**2 - 4*r - 12. Let h(p) = p**2 + 65*p + 738. Let g be h(-15). Determine x(g).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.1, -2\/13, 0.2, -0.3 in decreasing order.\nAnswer: 2\/5, 0.2, 0.1, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 15. Let v = 685 - 675. What is the remainder when (-276)\/(-10) + 2\/f is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1.23 (c) -126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 2, -0.4 in decreasing order.\nAnswer: 4, 2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 941925.3nm in millimeters?\nAnswer: 0.9419253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -801746 divided by 1?\nAnswer: -801746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*o**4\/7 + 200*o**3\/7 + 48*o**2 + 96*o\/7 - 128\/7 = 0. Calculate o.\nAnswer: -2, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -433*c**2 - 4*c - 3*c + 435*c**2 - 6 to v*c + x*c**2 + h and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/24)\/25*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 18. Let d be 26\/10 + (-6)\/(-15). Let v = d + g. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -83 + 52 + 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29403*c**2 + 1188*c - 12.\nAnswer: -3*(99*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 23\/144?\nAnswer: 23\/144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08 and 1.5713545.\nAnswer: 1.6513545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23898760 by -265.\nAnswer: 90184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31671686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 17 in descending order.\nAnswer: 17, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:27 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (86\/3 - (-12)\/36) + 3. Let w be (-6)\/4 + 2\/4. Let x = w + u. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3 - (-10)\/4). Calculate the smallest common multiple of 7 and c\/20 + 8\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -44. Calculate the greatest common divisor of 35 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 + 3*t**2 - 4*t**2)*(-66*t**2 + 12770*t - 12770*t) to h*t**4 + w + f*t**3 + q*t + i*t**2 and give h.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5 + y**3 - 3 + 7*y**2 + 1 + 4*y - 4. Let x be u(-6). List the prime factors of x - ((3 - 52) + 3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -218*q**3 + 2119*q**3 + 182*q**3 + 368*q**3 + 178*q**3 + 881 wrt q?\nAnswer: 7887*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*r + 2 - 2*r - r)*(-34 + 23 - 23) as u*r + b and give b.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -24. What is the highest common factor of 104 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 22*w + 43. Calculate r(13).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 814 divided by -2\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -68765 divided by -17?\nAnswer: 4045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 527604 divided by 7994?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/24 - (-800)\/(-100)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 39*y - 14. Let q be f(3). Let u = q - 98. Solve -u*w + 20 + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -44) + (-4 - 1) + (-3 - -23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -59. Suppose p + 47 = 4*t - 2, v = 2*t - 3*p. Suppose t - 11 = r. Which is smaller: r or 8\/23?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 454*p - 238*p - 128*p to v + x*p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 2.077777?\nAnswer: -0.4155554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-13\/7))*z*z**34*z)**2)**38 assuming z is positive.\nAnswer: z**(20140\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74871152 a multiple of 5227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3559, -6868, -10177, -13486, -16795, -20104?\nAnswer: -23413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/9 + 148298*z\/9 - 5498074201\/9.\nAnswer: -(z - 74149)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.18, 194, -1, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 - (1 + 5 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = y + 61, 5*y - 1 = -4*a - 54. Is 2*a\/8 - -706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*b - 11949 - 16055 - 8535 = 0 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.9 (b) 1 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 2 + -3 - 2. Suppose i*p = -2*p + 4. Solve 3*y = 2*b - 7, -2*y - p*b = -5*b + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 3\/20*u**5 + 0 + 0*u**3 + 0*u**4 - 12*u - 5*u**2. Differentiate y(b) with respect to b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -38570*w + 308570. Give k(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -d - 0*d - 3*o, 8 = 4*o. Let w = d + 33. What is the smallest value in 8, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447560291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188699, -377388, -566077, -754766, -943455?\nAnswer: -1132144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -11326.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85329 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let s(f) = 40 - 2 - 2*f + 5 + 12*f. Let g(h) = -2*p(h) - s(h). What are the prime factors of g(-10)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 2, f: 2}. Give prob of picking 2 z and 2 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1355 + -961. Let s = 4815 - 4801. What is the least common multiple of p and s?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9260, 18505, 27760, 37031, 46324, 55645, 65000?\n\"Answer: j**3 - j**2 + 9241*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*9\/(-24)*2. Suppose -7 = -2*z - i. Solve 0 = -0*x + z*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3, 91, -4, -1, -16, 4 in decreasing order.\nAnswer: 91, 4, 3, -1, -4, -16, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1023, -1008, -993?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t - 3. Let a(i) = -3*i + 2. Suppose -28*h + 95 = -9*h. Let f = -4 - -12. Suppose 2*x - 3*x + f = 0. Determine h*z(m) + x*a(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1557, 6503, 14747, 26289, 41129?\n\"Answer: 1649*t**2 - t - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 - 3*v + 3. What is g(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 2*g + 7. Suppose n - 2*x = 1 - 6, 5*n = 3*x - 18. Let u be m(n). Does 42 divide (u\/(-20))\/(1\/548)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 190*c + 1158. Give q(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)*(0 + -13). Let g(l) = l**3 + 4*l**2 + 2*l - 1. Let k be g(-4). Let a = k - p. Solve a*o - 20 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1706*o**2 - 15*o + 5. Let r(d) = 2619563*d**2 - 23031*d + 7677. Give 7677*g(k) - 5*r(k).\nAnswer: -853*k**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 27 = -3*j, 225716 = -m + 4*j. Round m to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q**3 + 8*q**2 - 6*q + 3. Let y(l) = -5*l**3 - 3*l**2 + 2*l - 1. Determine -3*m(n) - 8*y(n).\nAnswer: -2*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 525\/4 (c) 3.7 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157 + 1?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/2 + 357*g\/2 - 1926 = 0.\nAnswer: 12, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 316. Calculate the remainder when p is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 8004?\nAnswer: 8004.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291319.\nAnswer: 3, 29, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/60 + b**4\/12 + 13*b**3\/6 + 6*b**2. Calculate the remainder when q(0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1469 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33175461)\/(-22))\/(15\/2 + -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -17*o + 11*o + 8*o. Let l(p) = 13*p - 5. Let w(m) = 1 + 2*m - 21*m + 6. Let d(z) = 7*l(z) + 5*w(z). Give d(s(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.619323nm in centimeters?\nAnswer: 0.0000005619323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n. Let i(d) = 11*d + 1. Let s(f) = 7*c(f) + 2*i(f). Let q(o) = -65*o + 11. Determine -2*q(z) + 11*s(z).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/5*((-17925)\/(-26550) + 4\/(-6))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 * 1152.\nAnswer: 52.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84 + -1745?\nAnswer: -1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 13) to base 8.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 383 + -373. Calculate the smallest common multiple of p and 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14671623 to the power of 1\/2, to the nearest integer?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -234*b + 8. Let k(h) = 342*h - 12. Calculate 14*c(g) + 9*k(g).\nAnswer: -198*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = 18*j - 231 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.5, 0, -228 in decreasing order.\nAnswer: 0.5, 0, -1\/6, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4410 and 961478.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4165\/357*(60\/14)\/1. Solve -64*n = -p*n + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -3, -18, -20 in descending order.\nAnswer: 2, 0, -3, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(-3)*(-14)\/(-14).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 28*u**2 - 6*u - 98. What is c(-28)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 26*s**2 + 3*s - 9. Give u(26).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 135546488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1454 and 0.4.\nAnswer: -1453.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20094384 times -4?\nAnswer: -80377536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 32*n - 151. Calculate l(27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21*((-2)\/((-20)\/102))\/(6090\/1450)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + (27 - 13 - 77)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41980.\nAnswer: 2, 5, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -274*c**3*k + 1388*c**3*r + 7*c**2*k*r - 48*c**2*k - 8*c**2*r + 2*c*k*r - 1 wrt c?\nAnswer: -1644*k + 8328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -4\/3*n**4 + 0*n**2 - 2\/21*n**7 + 6\/5*n**5 - 16\/3*n**3 + 0 + 64*n + 2\/15*n**6. Solve b(q) = 0 for q.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d - 551. Determine b(-33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1131878 and 880.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmt when three letters picked without replacement from zmt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose -r*h = -3*h - 280. What is the smallest common multiple of h\/21*(-12)\/(-10) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -198, -182, -162, -138, -110, -78, -42?\n\"Answer: 2*c**2 + 10*c - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.42072 rounded to one dp?\nAnswer: 27.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429597, 859622, 1289649, 1719678, 2149709?\nAnswer: 2579742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + -7 + (3 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, o: 7}. Give prob of picking 2 s.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = -31*o + 3*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454374 to the power of 1\/2, to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68)*-4 - sqrt(68)))*-1 - sqrt(68))\/(sqrt(400)*-1 - sqrt(4)).\nAnswer: -3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -3*t**2\/2 - 7*t - 24. Let z be r(-3). Let c be (4\/6)\/((-4)\/(-18)). Solve m = -z*a + c*m + 20, -a = m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 172385, -6, -5 in increasing order.\nAnswer: -6, -5, 172385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/360 - 7*h**4\/4 + 55*h**2. Let y(v) be the second derivative of j(v). Let i(a) = a. What is y(i(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.01 rounded to zero decimal places?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -103 and 2.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6915.187 nanometers?\nAnswer: 0.0006915187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/63 and -40 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -126900741\/4 < -31725186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (8 - -4) - (17 + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3605 and 1371342.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = 2*a + 8, -12 = -5*t - 4*a. Let f = 66 + -36. Suppose n = x + f, 5 = -0*n + n + t*x. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**2. Let p(k) = -12*k + 6. Give d(p(b)).\nAnswer: -1152*b**2 + 1152*b - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyii. Give prob of sequence iy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l - 7746*l**2 - 1921*l**2 - 16*l.\nAnswer: -9667*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061623 is divided by 1351.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/20 + i**4\/4 + i**3\/2 - 5*i**2. What is the units digit of o(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 p when four letters picked without replacement from pmmppmmomo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2))**31*(n\/n**(2\/3))**(1\/18))**46)**33 assuming n is positive.\nAnswer: n**(1270819\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/9 + (-6 - 20872\/(-36))?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 323*o**5 - 17971*o**3 + 17971*o**3 + (2*o**3 + o**2 - o**2)*(-o - 6*o**2 + o) + 7*o**4 - 7*o**4 + 16*o**5.\nAnswer: 327*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + m**3 + 2*m**3 + (-11*m**2 - 10*m**2 + 19*m**2)*(-4*m + 14*m - 40*m).\nAnswer: 59*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 7*r**2 + 7*r + 8. Let q be c(-6). Suppose q*z - 516 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 9. Give o(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b78 + b?\nAnswer: -b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 12, n: 3, j: 2, w: 1}. Give prob of picking 1 w, 1 n, and 1 j.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33 + -28 + (-27)\/3. Let v(u) = -u**2 - 3*u + 6. Let d(x) = x**2 + 2*x - 5. Determine g*v(b) - 6*d(b).\nAnswer: -2*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-8)*-1*5\/50.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2164*h + 1586*h - 225*h - 158*h in the form y + f*h and give f.\nAnswer: 3367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 + 1. Let r = m + 1.7. Let j be ((-16)\/20)\/((-3)\/(-15)). Which is the nearest to j? (a) r (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18941620567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2*j + 4*j)*(-15 - j + 15)*(5*j - j - 3*j) as c + z*j**2 + o*j**3 + a*j and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t. Let k(g) = 34 - g**2 - 34. Determine k(v(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 9. Let q be ((-18)\/(-10))\/((-84)\/(-140)). Let x(a) = a**2 - 4. Give q*t(v) - 7*x(v).\nAnswer: -4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 474, 732, 1008, 1308?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -2*l, -4*l - 12 = y. Let f be (-22)\/y + (-6)\/21. Let z be ((-330)\/(-45) + -9)\/(5\/(-6)). Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 33*s**2 + 66*s + 128. Give r(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000085625 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*y - 953 + 103 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 59495 divided by -11899\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21*r + 6 - 5*r**3 - 52*r + 25*r. Let g(i) = 9*i**3 + 11*i - 11. Give -11*b(j) - 6*g(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/9 (b) -2\/45 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/(((-4)\/9)\/((-30)\/(-9))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -236 times 18769\nAnswer: -4429484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -194.028 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43158 and 3906?\nAnswer: 28095858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25a79 - 1835?\nAnswer: 24244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4527*i**2*j - 1063*i*j**3 + 11*i - 305508294*j**3 wrt i.\nAnswer: -9054*i*j - 1063*j**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/3 - 229*o**2\/3 - 12995*o\/3 + 13225\/3 = 0.\nAnswer: -115, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*480\/(-135)*24\/32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10759564, -10759567, -10759570?\nAnswer: -10759573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3191 is divided by 95?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 3*o + 2. Let m be k(-2). Suppose c + m = 3*d - 3*c, 3*d - c - 11 = 0. Is 150\/4 - 2\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180\/869 - 2\/79. Let w be 1 - ((-9)\/7 - -2). Which is the closest to 1? (a) w (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*-2*(24 - 768). Suppose 0 = 2*n - x + 20. List the prime factors of n.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.07, -1, 0.04, -0.4.\nAnswer: -1, -0.4, 0.04, 4.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9331.272km?\nAnswer: 9331272000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120845076 and 803?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 130 - 7*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 2*s**2 - 1150 + 8*s**3 + 1188 - 9*s**3.\nAnswer: -s**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-5*2 + 1)**2 + 3 - (-5 + 1 + 1*sqrt(171) + 3 + 0 + sqrt(171))**2.\nAnswer: -8*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y**2. Suppose 0 = 2*q - 33 - 73. Let j = -44 + q. Let u(b) = -j*b - 10*b + 20*b. Calculate u(f(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-3\/7)*r)\/r)\/r)**(-6)*r*r**18*r*r*r**(-4) assuming r is positive.\nAnswer: r**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 17832. Let j(z) = -28*z. Give v(j(h)).\nAnswer: -56*h - 17832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1124 divide 4135196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 14*s - 26. Let l be w(-12). Suppose -r + 11 = -13. What are the prime factors of -1*2*l*690\/r?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + (2 - 1) - -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 41*c**3\/6 + 73*c**2\/2 + 37*c. Is s(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 594425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21945 (b) -0.09 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -23. Suppose 0 = -0*t - t - 3. What is the second smallest value in t, p, 10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 4) + -5 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 - -122. Solve 3 = 3*i - 0*i + k, -3 = -s*i + 3*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 134*k + 75*k = 2928 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 29*q**2 - 677. Let o(f) = 4*f. Determine o(n(g)).\nAnswer: 232*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieveeiesegeise. What is prob of picking 1 v, 1 s, and 1 i?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - m = 10, 4*n - 6 = 136*m - 262*m + 129*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s. Let l(q) = 48*q**2 - 21*q + 1. Let j(p) = -21*p**2 + 9*p - 1. Let w(i) = -7*j(i) - 3*l(i). Calculate m(w(v)).\nAnswer: -15*v**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 13. Let t(v) = 7*v + 12. Let p(r) = -4*j(r) + 5*t(r). Differentiate p(w) with respect to w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = -1. Let m(c) = -c**2 - c + 3. Let a be m(0). Let k = h + a. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*s**5 - 3*s**3 - 480*s**2.\nAnswer: 420*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30663629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1035 = 2598. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/83, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let k(a) be the third derivative of -a**4\/12 + 9*a**2. Give k(n(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 68 and 81 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43322.9 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736)*4 + sqrt(2736) + sqrt(2736))*4 - ((-1 + sqrt(57)\/sqrt(3))**2 + (-3 + sqrt(19)*2)**2))*2.\nAnswer: -210 + 604*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:13 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3982 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72972207 to the nearest integer?\nAnswer: 8542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 + 2*y**2 - 32*y + 270515 wrt y?\nAnswer: -6*y**2 + 4*y - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -114. Let i(x) = 9*x + 50. Is i(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44770 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 3*l**2\/2 + 4*l - 23. Calculate j(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2321 + 103?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + (-6*2*(0 + sqrt(242)) - 5*(sqrt(242) + (sqrt(242) + -3 - sqrt(242))*2))))**2.\nAnswer: -9724*sqrt(2) + 70614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + 97 + 15 + 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 20*g**2 + 45*g - 1. Let i be k(22). Let s = -3 + 12. Suppose -s = -c + 12. Solve -3*v + 2*v + c = -4*l, l - i = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*s - 15718 = 98*s - 173*s for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46979 is divided by 250?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 0.4 (b) -1\/8 (c) -36939.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/((-2)\/6). Let w = -38163 + 725095\/19. Sort w, 0, v in ascending order.\nAnswer: v, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:26 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2726, 6116, 11760, 19652, 29786, 42156, 56756, 73580?\n\"Answer: -z**3 + 1133*z**2 - 2*z + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -423 (b) 2\/7 (c) 0.2 (d) -0.14 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 10:48 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 470856 = 470856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 1556886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28846, 57690, 86534?\n\"Answer: 28844*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -38*d + 35. Let y(u) = 13*u - 12. Let n(h) = -6*f(h) - 17*y(h). Suppose 3*m + 0 = 48. What is the lowest common multiple of n(4) and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 + 11 = 4*j, 2*m + 4*j = -16. Let g(f) = f**3 - f + 0*f + 6*f**2 + 0*f**2. Determine g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/24 - 4*v**2. Let p(m) = -2*m. Give g(k) + p(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k**(-15)*k)\/k)\/k)*k**(-5))\/(k\/((k\/k**13)\/k*k)*k*k*((k\/k**1)\/k)\/k*k) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 50*o**3 - o**2 - 6*o - 5. Determine d(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/((-6)\/(-9) + 0). Let t be (-1)\/5 - (-128)\/40. Let z(s) = -t - 6 + 11*s + d. Let j(u) = u**2. Give j(z(l)).\nAnswer: 121*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-3)*i))**(4\/9)\/((i**(6\/11)*i)\/(i*i*i\/i**(-2\/45))) assuming i is positive.\nAnswer: i**(1402\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 11, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.071, 55.4, 289?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/750 and -31\/534.\nAnswer: 66750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Suppose 0 = y*d - 0*d - 68. Calculate the highest common factor of 136 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/10)\/(-6 + 396\/63). Suppose -3*a - 3 + 18 = 0, -3*p - 5*a + 16 = 0. Is p not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -89, 3, -6 in descending order.\nAnswer: 3, 0, -6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462036*h - 233525*h - 228511*h - 11*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + 1 + sqrt(80) + sqrt(245) + 0 + 2 + sqrt(245) + 3 + 3.\nAnswer: 9 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31299878?\nAnswer: 2, 19, 307, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 + 73. Sort k, -2, 0.\nAnswer: -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-55)*(35\/(-98) - 0)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 23165?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 57 - 46 = 2*c, -4*c - 23 = -3*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/81 + (-4190005)\/(-113319).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147284021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aubkkkuufbkkbkbaarfa. What is prob of sequence bu?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*i + 5*u - 15, 0 = -3*i - u + 57. Solve 0 = 4*c + i - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12011 (base 4) to base 7.\nAnswer: -1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 10121 = -1639. What is d rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 20 = -t - 4*x, -184 = -5*t + x. Suppose 2*i + l = 24, -2 = -4*i + 3*l + t. Calculate the greatest common divisor of 77 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/17222436 and -151\/29747844.\nAnswer: 327226284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 40859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228)\/684*(-3)\/(-2)*-30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2311, -4521, -6733, -8947, -11163, -13381?\n\"Answer: -f**2 - 2207*f - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3496538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5\/2 (b) -53\/7 (c) -3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u + 1, -4*u = q + 9. Let v = 3.034 - 0.034. Which is the nearest to q? (a) -0.3 (b) v (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -299, -1036, -2473, -4844?\n\"Answer: -39*t**3 + t**2 - t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10 and (231\/(-6) - -4)\/(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14484 - 14446. What is the closest to -1 in 0, v, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11886 and -25.237.\nAnswer: -299966.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*q*y**3 + 8*q*y**2 - 2*q*y + 5*q + 89 wrt y?\nAnswer: 42*q*y**2 + 16*q*y - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 9 (c) 0.5 (d) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -1 (c) -2\/11 (d) 3\/8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24.1 and 3.92.\nAnswer: 28.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from hfkhhhhhhhhkhf.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*o = -299*o + 324. What is the lowest common multiple of 96 and o?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273846405 a multiple of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (1 - -2 - 1)) + 681 + -674.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - 2*m - 20*m**3 + 3 + 21*m**3 + 2*m**4 to v*m**3 + c*m**4 + h*m + j + r*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1619, 6747, 15281, 27215, 42543, 61259?\nAnswer: 83357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/6 + (-1)\/3. Is 6 a factor of h\/14 + 164\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*o = -2*o + 12, 5*o = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5 + 5. Suppose -h - 12 = -5*h - w*d, d + 3 = h. Suppose 12 = -0*j + h*j. Put j, 5, 1 in increasing order.\nAnswer: 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = -r + 10, 13 = m - 2*r. Let i(d) = d**2 - 2*d + 25. Let o be i(m). Suppose 7*h - 5*h - o = 0. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 100222313?\nAnswer: 100222203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93227250 or -93227247?\nAnswer: -93227247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 - -147. Solve -21 = x + 5*v, -l*v - v - 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5407 divided by -121597.\nAnswer: 5407\/121597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 8. Let u be r(8). Let t be 0 - (-4 + u\/(-3)). Does 11 divide t\/(16\/6)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**4\/4 - 6*i**3 + 7*i**2 - 19*i - 119. Is v(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 - 351. Suppose -k*v - 3212 = -51*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2341243828 and 4.\nAnswer: 2341243832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0*y + y + 3 + 4. List the prime factors of a(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*y**2 + 588682 + 1136*y**2 - 588682.\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 727308914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.10947 - -0.30947. Put j, 0.7, 2\/9, -0.4 in increasing order.\nAnswer: -0.4, j, 2\/9, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 5*w + 2*w**3 - w**3 + 2*w - 5 to the form j*w**2 + f*w**3 + t*w**4 + b*w + i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let v(c) = c**3 - 7*c**2 + 7*c - 9. Let o be v(6). Sort o, r, -5 in increasing order.\nAnswer: -5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 78 = -5*m, 5*a - 3 = 4*m - 48. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 2. Give d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -213*h + 168 + 661*h - 223*h - 213*h. Calculate w(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 15. Let h = -1 - v. Let t(n) = -n**3 - 4*n**2 - n + 1. Let p be t(-4). Sort p, -5, h in descending order.\nAnswer: p, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 50 = 176. What is the units digit of ((-10)\/(-3))\/((-7)\/o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8446 - 8404. Calculate the greatest common factor of 2499 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*s**5 + 3*s**3 - 44*s**2 wrt s?\nAnswer: -420*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -29.08. Round a to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11089*z + 820621. What is l(74)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58935 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 5 - 46635*x + 46641*x - x**2 - 3*x**2 + x**3 to the form z + o*x**2 + u*x**3 + g*x and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 8*o + 1\/3*o**3 + 4*o**2 - 165. Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 6*d + 3. Let o be x(7). Suppose 12 = -4*k + o*k. Is (-3)\/k + (-2)\/((-4)\/1117) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 5)*(-4 - 5 + 0)*(-4*a**4 - 6*a + 6*a) as h*a**3 + p*a**2 + s*a**4 + w + b*a and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4880 and 1360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*o + 180 = -o, 3*h + 2*o = 140. Let v be ((-3)\/(27\/12))\/(168\/(-6426)). Are v and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -258\/13? (a) 29 (b) 0.9 (c) 0.5 (d) -1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((4\/(-3))\/((-55)\/330))\/(-2). Put 743, -2, f in increasing order.\nAnswer: f, -2, 743","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 - x**2 + x**2. Let w(m) = -m**2 - 2*m + 2. Let g(d) = -10*d**2 - 18*d + 18. Let n(t) = 2*g(t) - 18*w(t). Calculate l(n(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 33305, 4, 5 in ascending order.\nAnswer: -3, 4, 5, 10, 33305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20847967 + 29394688. Suppose 0*w - 5*w - 15233605 = 0. Let d = z + w. Round d to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 3 = 0. Suppose -2 = -5*r + 5*l + o, -5*r - 2*l + 19 = 0. Suppose 0 = -r*s - 14 - 22. What is s rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387282 divided by -66\nAnswer: -64547\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4932)\/(-1096)*((-1280)\/36)\/(-5)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z**2 - 16 - 6*z**3 + 8*z - 7*z**3 + 21*z**3 - 6*z**3 + 20*z.\nAnswer: 2*(z - 4)*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -2468895678210?\nAnswer: -2468895678212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1232175 - 5?\nAnswer: -5.1232175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24c - -12b0?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*z + 2*r - 353, 0 = 4*z - r - 727. Calculate the remainder when 578 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 2*j**3 - 12*j + 0*j + 4*j - 386 to u*j**2 + m*j + h*j**3 + y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -14*q**4\/15 + 8*q**3\/15 + 14*q**2\/5 - 52*q\/15 + 16\/15 = 0.\nAnswer: -2, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110310 - -164260. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101001110011 - -10?\nAnswer: 10100101001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d. Suppose 0*w = -3*w + 3. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -6 + (-6 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d33e (base 16) in base 15?\nAnswer: -a1e3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 9. Suppose -4 - 30 = -5*m - 4*j, m - 3 = 3*j. What is the remainder when 26\/2 - (-6)\/l is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + j - j - 2*j - 3*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74166 - 50395. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m + 1. Let t be 3 + -3*6\/9. Let z(b) = 3*b**2 - 6. Let l(y) = t*z(y) + 4*p(y). Determine l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.098, 2 in descending order.\nAnswer: 2, 0.098, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 71*y - 70*y + 39, 2*b + 15 = y for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 - 24*w - 81. Let n(c) = 9*c**2 - 50*c - 162. Let l(g) = 6*n(g) - 11*v(g). List the prime factors of l(-26).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*o - 25*o + 5*o**3 + (o + 4*o - 6*o)*(0*o**2 - 3*o**2 + o**2) - 4*o**3 + 6*o**3 + 0*o**3 to c + s*o**2 + n*o + a*o**3 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2268 and 1047648.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85 - -854c?\nAnswer: 8497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-84) + (-799227)\/224532\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 140*z + 140*z - 12 in the form x*z**2 + j + u*z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 1 - 5. Let d = g - -4. Suppose d*s - 24 = -0. Solve -3*p - 15 = -s*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = 5*c, 5*c - 10 - 10 = -5*w. Is w >= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19532 is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -123640299, -247280600, -370920889, -494561160, -618201407, -741841624?\n\"Answer: g**3 - 123640308*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 1.8 (c) -14.87 (d) -0.1 (e) -9 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/((c\/c**(-1))\/c))**27\/(c*c**(2\/3)*c)**(4\/19))**44 assuming c is positive.\nAnswer: c**(134024\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 1445810657 - 1445810657.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 6*x. Let i(n) = -n**2 - n. Suppose -12 = -3*r - 2*t, -22*r - 4*t = -17*r - 22. Determine r*m(h) - 12*i(h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*u**2 + 5*u**2 + 36*u**2)*(11*u - 2*u + 5*u) as d + f*u**2 + x*u**3 + b*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981b (base 12) in base 13?\nAnswer: 29c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6823 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 8*x**2 + 11*x + 27. Let r be v(-8). Suppose 2*g + 2*g = 348. Let s = r + g. What is the greatest common factor of s and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h**2 + 129*h**2 + 20*h**2 - 10*h**2 as y*h + o + p*h**2 and give p.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 1, -4530, -1 in ascending order.\nAnswer: -4530, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 847052927 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13980*u**5 - 10*u**4 + 15*u**2 + 257283316*u wrt u.\nAnswer: -279600*u**3 - 120*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 87\/27 + (228\/(-54) - -4). Suppose 0 = -c - x*g + 3, 5 + 7 = 4*c - 4*g. Solve -k + c*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.5164 or -2\/51?\nAnswer: -22.5164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12797, 23882, 34967, 46052, 57137?\n\"Answer: 11085*p + 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0)*1 + -4 + 9. Suppose 2*y + 269 = o*p, -2*p - p + y = -162. What is the greatest common divisor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, r: 3, g: 4, w: 1}. What is prob of picking 1 w, 1 g, 1 r, and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2930 = -5*h, 44 + 1145 = 2*h + 3*c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*p + 416*p**4 - 417*p**4 - 116*p + 240*p - 205*p**3 as q*p**2 + v*p + m + l*p**3 + i*p**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -22 + 0 + 9*r - 10. Let q be i(4). Let k be 10*((-2)\/(-1))\/(-4). Sort -1, 3, k, q in descending order.\nAnswer: q, 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 57698781*v**2 - 4 - 57698781*v**2 + 4.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 at most as big as 222917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10)*1 + 966\/(-2760). Suppose o = -o - 4*w - 2, -o = 5*w - 5. Let r = o + 0. What is the closest to 2 in r, j, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/9 + 162*x**2 - 6902*x\/3 + 72814\/9 = 0?\nAnswer: -743, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 27*p + 2. Suppose 3 - 5 = -f. Is 19 a factor of g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - ((-1)\/(-4) + 333\/12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-222 + 23*q + 222)*(-1 + 1 + q**3 + (-3*q - 2*q + 4*q)*(4*q**2 + q**2 - 6*q**2)) to s*q + c*q**3 + l*q**2 + r + w*q**4 and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.37 - -0.23. Let s = 25.5 - k. Let l = s - 15. Which is the third smallest value? (a) l (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x + 2. Let h(i) = -i**3 - i - 3. Let m(q) = -6*h(q) - 5*l(q). Let p be m(0). What is the tens digit of -2*6\/(-4) + p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (5*sqrt(190))\/sqrt(10) + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + -1)))**2 + -4.\nAnswer: -13*sqrt(19) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 5724*t**2 + 2724615*t + 5472150.\nAnswer: 3*(t - 955)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 + ((-649)\/22 - -22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -66*g + 1658. Let n be w(23). Put -3, 5, 4, n in increasing order.\nAnswer: -3, 4, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 + 0*u**2 + 13*u + 1\/4*u**4 + 0*u**3. Let x(l) = 10*l**2. Determine x(o(d)).\nAnswer: 90*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -8*z + 5*z + 2, -17 = 2*z + 3*q. Let h(k) = 1. Let f(p) = -3*p + 0 - 3*p + 4. Let t(a) = z*f(a) + 8*h(a). Differentiate t(l) with respect to l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.567483 litres in millilitres?\nAnswer: 9567.483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (1 + (4 - 6))) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2008947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 4*x**2 + 5*x - 6. What is a(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*r + 3 = 9, 0 = -2*r + 2. Suppose -4*z - 2 = -42. Calculate the lowest common multiple of -1 - (-23 + (-4)\/h) and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46561, 46618, 46713, 46846?\nAnswer: 47017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 40*a = -30. Solve 5*r + a = k, 0*r + 3*r = 5*k - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:13 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 25*a - 23*a - 1, 3*a = 4*y - 37 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439492 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 2. Let g(r) = r + 5. Let z be g(-3). Solve -4*a + 5*x + 17 = 0, 4*a - t + 4 = -z*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74182604 a multiple of 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 12. Let g = 12 + -6. Let l be n(g). Is (-2)\/(-3)*117\/l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19225.24 micrometers to millimeters.\nAnswer: 19.22524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 6. Suppose 7*m = 3*m - 24. Let t be i(m). Let g = t - -19. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (672\/120)\/7*(-10)\/14*7\/(-2). Find u such that 0 + 4\/3*u**l + u + 1\/3*u**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 349?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 156441573 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 16. Let p be 75 + (0\/3 - 1) - 2. Let r = -51 + p. What is the remainder when r is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2778 - -2806. Solve 0 = -10*f + c - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsg when three letters picked without replacement from {s: 7, g: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*u - 504. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*c - 6 = 0, -2*c + 330 - 322 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544917089.\nAnswer: 137, 3977497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/7019265 and 29\/2280?\nAnswer: 56154120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60*0.1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051355241?\nAnswer: 13, 157796557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 217440089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 + 227. Is 6\/(-21) - (-51441)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-69)\/(-9))\/((-12)\/18) and (306\/30)\/(924\/105).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22360085.\nAnswer: 5, 11, 406547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -6\/53, 43, -137 in decreasing order.\nAnswer: 43, 2\/7, -6\/53, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16796, 130033, 437404, 1035977, 2022820, 3495001, 5549588?\nAnswer: 8283649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(180) + -1 + sqrt(180)*2 + sqrt(180) + -2*((-1*sqrt(180) - sqrt(180)) + -1))**2.\nAnswer: -384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1193088*0.25.\nAnswer: 298272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 - 3873*q**4 + 760142*q**3 - 45218892*q**2 + 113386520*q - 51916800 = 0. What is q?\nAnswer: 3\/5, 2, 130, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4621, -18497, -41625, -74005?\nAnswer: -115637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 1084982 = 1084925 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 401539234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 507180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkggsgssaaasaggasags. What is prob of sequence kasa?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*w - 105 = 0. What is the remainder when w is divided by (8\/10)\/(3\/45)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i**2 + 2*i - 4. Let h be c(-3). Calculate the common denominator of ((-11102)\/(-3536))\/(-61)*(-36)\/14 and h\/(-8)*(-1)\/4.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:16 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -3 + (5 - 1). Let v be (-2)\/(-16)*(z - 9). What is the second smallest value in -0.5, -5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*t + 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.674 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2745247 rounded to one decimal place?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 1, a: 1, n: 1, f: 2, b: 2}. What is prob of picking 1 f, 1 n, 1 b, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1113174753 to four decimal places.\nAnswer: -0.1113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12846, -102829, -347138, -822957, -1607470, -2777861?\nAnswer: -4411314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.5 + 4. Let u = 0.25 + 0.4. Let h = u - 0.35. Which is the second smallest value? (a) h (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1116*w**3 + 18*w**2 + 69*w + 50. Determine n(-1).\nAnswer: -1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/1*((-2)\/(-28))\/((-36)\/(-504)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 867 divide 131455407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34201.41 months to decades.\nAnswer: 285.01175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 15910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 432613418 rounded to the nearest one hundred thousand?\nAnswer: 432600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17750 divided by -71.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 49*g - 2841. Let l be a(58). Sort 0, 690, l in descending order.\nAnswer: 690, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -1. Which is the third smallest value? (a) 5 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3612 (base 7) to base 11.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5152.6 + -5153. Put b, -0.2437, -3, 0.1 in decreasing order.\nAnswer: 0.1, -0.2437, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(1584) + -5)*-2)**2.\nAnswer: -10752*sqrt(11) + 104512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 + 245. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4173, -8148, -11921, -15492, -18861, -22028?\nAnswer: -24993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1543*t + 1529*t + 98. Solve t + 13 = -4*r + 4*u, 3*r - u = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v + 6. Let d(r) = -25*r - 12. Give -4*d(u) - 7*j(u).\nAnswer: 9*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -242 + -7?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 18. Calculate the least common multiple of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45053 is divided by 2889?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 4) to base 13.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 6 (c) -2\/13 (d) 1\/20 (e) -14356\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.165 + -2.8. Let z = 0.3650173 - s. What is z rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -2*c + 0*c**3 + 1\/10*c**2 - 1\/60*c**4 + 0. Determine g, given that f(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 39 + 13 - 109 + p.\nAnswer: p - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 20*z - 19*z, 4*z = 2*i - 8. What is g in 354*g - g**2 + 2*g**i - 328*g = 0?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63493152 and 8586?\nAnswer: 1714315104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -81 = -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.301961 minutes in weeks?\nAnswer: 0.04983154375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22094 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/2, -3\/4, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0939*-2.73335.\nAnswer: -0.256661565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:15 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3342, 6674, 10000, 13320?\nAnswer: 16634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4 - 2557641*a**3 + 2557644*a**2 = 0. What is a?\nAnswer: -852548, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/70)\/((-6)\/50) + (-2099)\/(-842). What is the smallest value in 3, 0.01, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15916 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512 - 6*g + 26*g + 512.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 147807740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -15*y + 580. Calculate j(37).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 47 + 108 = 0. Suppose 3*o - 3*r = 273306, v*o - 2*o - 273298 = -r. Round o to the nearest one thousand.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 14*b - 466. Let l = 42 - b. Let n(c) = 2. Let r(m) = -m**2 - 3. What is l*r(k) + 3*n(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47324064817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1684 divided by -165082\nAnswer: 842\/82541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*18.35.\nAnswer: 293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 28 + 2 = 0. Suppose y*i + 5*x = i + 135, 5*x = 2*i - 45. What is the common denominator of 52\/9 and (1017\/i)\/(-3) + 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275100 divided by -14\nAnswer: -19650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 15) to base 5.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 490.4 + -496.3798. Let t = 15 - 21. Let k = r - t. Round k to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5064317?\nAnswer: 17, 19, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + u + 957 = 0, -4*t - 2*u - 570 = -t. Let i = t - -4225\/22. Find the common denominator of 79\/12 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 30*p**2 + 54*p - 486.\nAnswer: 2*(p - 3)*(p + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27867 is divided by 27857.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/9752 and -74\/3657.\nAnswer: 29256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**6\/60 + p**5\/10 + 5*p**4\/24 + p**3\/6 - 2*p + 9. Let x(l) be the first derivative of u(l). Find r, given that x(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36087 and 897?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -10. Let p = -9 - f. Which is the biggest value? (a) -0.01 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011010010010110 (base 2) in base 9?\nAnswer: 460048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (11 - 96 - -57)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -662 (b) -0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87176521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -111110?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81542806 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxc when three letters picked without replacement from xhhhchx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, 120, 719, 1914, 3897?\n\"Answer: 32*v**3 + 10*v**2 - 59*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 12*v - 8. Let k be h(-5). Suppose 2*i - 5*r - 111 = -k*i, 0 = 4*i + 4*r - 156. Calculate the highest common divisor of i and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y - 38. Let d be m(-10). Let b(p) = -p**2 - p + 2. Determine b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1028)\/(-28) - (-4)\/14. Let r = -13 + u. Let o = -22 + r. Solve -23 = -5*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 56416160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -303.51604.\nAnswer: -299.51604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c - c - 6*c + 4*c**2 + 10 + 0*c**2. List the prime factors of y(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*m + 111*m - 4 - 202*m)*(0*m + 0*m + 2*m**3).\nAnswer: -300*m**4 - 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546006 = 3*v + 3*d, 0 = v - 2*d - 112520 + 294516. What is v rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*g = -107*g - 4045140. Calculate the remainder when g is divided by 221.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - b + 3104 = 0, b = 3*o - 0*o - 3106. Does 7 divide 2\/(-12) + o\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -79, -52, -5, 68, 173, 316, 503?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*2*sqrt(130))\/sqrt(10).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/51 - -10\/17. Solve 0 + 4\/3*f**2 + 2\/3*f**3 + h*f = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -214466066?\nAnswer: -214466046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b0 - -1c5d?\nAnswer: 1d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15*123\/82*9?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 + 7*a - 1. Let f be i(-6). Suppose 0 = -3*w + 4*w - f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*m + 168 = 0, -2*a + 392 = 3*a - 4*m. Suppose -4*p = -7*p - 4*d + 42, 0 = -2*p + 2*d + 14. Calculate the highest common factor of a and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -20*p - 860. Let i be w(-59). What is the highest common divisor of 360 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -13841*h**6\/120 - 4621*h**4\/12 + 7*h**2 - 132*h - 1. Find the second derivative of w(f) wrt f.\nAnswer: -83046*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2758?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3660 (base 11) to base 12\nAnswer: 2929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 33.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9da (base 15) in base 3?\nAnswer: 10001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -10 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149300 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(-2 - 8 - 2*a - 17) to t + i*a and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*99\/(-11)*3\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x - 10 = -42*x. Solve -4*p - x = 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3212 (base 4) to base 2.\nAnswer: -11100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 452, 1094, 1972, 3074, 4388, 5902, 7604?\nAnswer: 9482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from -1964.\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -94*h. Let o(p) = -10*p**2 + 24. Calculate o(c(d)).\nAnswer: -88360*d**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816401.\nAnswer: 816401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 165 + 44 = -20*g. Let p(k) = k**2 + 9*k - 28. What is p(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 1. Let t be f(-1). Let d = 0.0103687 + 0.4896313. Put 2\/19, d, t, -2\/5 in descending order.\nAnswer: t, d, 2\/19, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (869\/22)\/((-1)\/(-2)). Suppose -u = -3*m - 22. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2174 + -2149. Solve 0 = -28*a + g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -5 + -1 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 6696.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688268635 a multiple of 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 3, c: 2, u: 2, y: 1, z: 1}. Give prob of picking 1 u and 2 w.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17044318.\nAnswer: 2, 8522159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 2.4. Let r = 1 + -2. Let s = -11 - -7. Which is the biggest value? (a) r (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d - 320. Let s(k) = -7*k - 301. Calculate 11*f(q) - 12*s(q).\nAnswer: -4*q + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*t + 16 = 0, -2*t = o + 3*o - 4. Suppose 32 = 2*v + 2*w, -v - 5*w = -18 - o. Solve v - 3 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -572 + 4352. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 0 - (8 - 2) - ((-20 - -11) + 18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 28*x = 2262032. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 1\/3*z**3 + 1\/2*z**2 - 22 + 1\/3*z + 1\/12*z**4. Find v such that g(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4524, 9049, 13574, 18099, 22624, 27149?\n\"Answer: 4525*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -7, -4.\nAnswer: -23, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 - 11*g - 7. Let v(w) = -6*w**3 - w**2 + 10*w + 7. Let d(y) = 5*n(y) + 6*v(y). Let i be d(-7). Solve -5*u - i = 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2637327 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8667*i + 8691*i - 5592. Is i greater than 3984\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 + -109. Let l = 168.99999747 - o. What is l rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73378 is divided by 6114.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 50) + 8 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188645, -377280, -565905, -754520, -943125, -1131720, -1320305?\nAnswer: -1508880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1050 and 99\/20?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-75)\/(-9)))\/(51\/61965*-27).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from fsffsfsfffssffsssfs?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1131977221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(8\/(-6)*((-56)\/(-252) - 119\/1386)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(-13))**(4\/9) assuming p is positive.\nAnswer: p**(-104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 - 11668245*p**3 + 2*p**2 + 15990221*p wrt p?\nAnswer: -48*p - 70009470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 5. Let o(n) = -2*n + 6. Let s be o(-1). Let h(y) = -5*y - 14. Give s*c(p) - 3*h(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from lrrrrrlrlrlrrlrrllc?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*b = 670*b + 1, -19*i - b + 26 - 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 4:34 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-16 + -8))\/(1\/6). Let o be (10\/(-2))\/(-1 + 0). Suppose 43 - 12 = l + 5*g, o*l - 47 = v*g. What is the greatest common factor of l and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12)*676\/845?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405)\/225*10\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15.87876t?\nAnswer: 15878760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1992 is divided by 330?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100723493 or 2\/7?\nAnswer: -100723493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86 - 12*u + 86 + (1 + 1 - 4)*(0*u - 4*u + 3*u) + u + 3*u + 0*u - 11*u - 6*u + 6*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 42*j. Let m(g) = -6586*g**2. Give m(a(x)).\nAnswer: -11617704*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.1, 6\/7, -0.002, 0.11, -4, -5\/3?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -36539000 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*(j\/(j*j**(-2\/7))*j)\/j*j*j)**(-21)\/((j**(2\/7)\/j)**(-26)\/(j**(6\/11)\/(j\/((j\/((j*j*j*j**(-2\/27)\/j*j)\/j))\/j)))) assuming j is positive.\nAnswer: j**(-536282\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 18 = -g - 6*g. Let l be (1 + -6)*(-2 - -1). Let o = -1\/111 - 103\/888. What is the second biggest value in g, -8, o, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1100 divided by 336.\nAnswer: 275\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*n + 2140, 2*a - 3*n = 2*n + 885. List the prime factors of a.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 5\/2*w**2 + 0*w**3 + 2\/3*w**4 - 8 + 7*w. Let u(r) be the first derivative of b(r). What is the derivative of u(y) wrt y?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 10*b + 16. What is h(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 23 = -0*n. Let p = -14 + n. Solve -3*a = 4*r - p*r - 5, 4*a = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**3 + 2*o**2 - 4*o + 4. Calculate i(2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1 + 133*l - 68*l + l**2 - 2*l**2 - 66*l. Let s(r) = 7*r**2 + 6*r + 4. Determine -6*a(p) - s(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 11 + 12 + 10*b to c*b + p and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 22*i**2 - 6*i + 5. Determine j(11).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1865\nAnswer: 1\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 2, e: 1, c: 1, q: 1}. Give prob of picking 2 h and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b - 34. Let t be c(17). Suppose -64*r + 67*r = t. Let s = 149 - r. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 366856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 - 9*h**5 + 5*h**3 - 14*h**5 + 2*h**5 - h + h + (-5*h**5 + h**3 - h**3)*(0 + 0 - 1) + 4*h - 4*h - h**5.\nAnswer: -17*h**5 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-266)\/114 + (-8)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - z - 2910. Let w = 169 - z. Round w to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25868 + 25538.1. What is f rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4270, -8696, -13124, -17554, -21986, -26420?\nAnswer: -30856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -656.6 - -1128. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*z**2 + 121*z**3 + 33*z**3 + 102*z**2 - 165*z**2.\nAnswer: 154*z**3 + 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 1692664330193*i**2 - 1692664330193*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51850954 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*x + 0*x + 3*x)*(-x + 5*x - 2*x) + 3*x**2 - 3*x**2 - 2*x**2)*(134 + 71 - 102) in the form a*x**2 + t + l*x and give a.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:06 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 443 = 5398. What is the remainder when r is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-18)*4\/5. Let k = -2.9 + 3. Let q = 158.8 - 159. Which is the nearest to k? (a) o (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 5 + 7 - 5 + 5.\nAnswer: -5*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzrz when four letters picked without replacement from zrjz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -17. Let d be n + 1 - (-28 - -7). Suppose a - d - 3 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 12*h**2 - 36*h - 115. Let u be s(-14). Let k(f) = -15*f**2 - 3*f - 3. Let x(n) = 74*n**2 + 16*n + 16. Calculate u*x(v) - 16*k(v).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 21.\nAnswer: 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 1.584, -2\/19 in descending order.\nAnswer: 1.584, -1\/10, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -6625?\nAnswer: 6625.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*y + 647*y - 1292*y - 125*y**3.\nAnswer: -125*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 8. Let t(n) = -2*n**2 + 39*n - 12. Let r be t(19). Determine f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppvddddvdddddp. What is prob of picking 2 d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045618 rounded to seven dps?\nAnswer: 0.0000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12.5, -1.5, -0.3, -1\/3, 975\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**25)**8 assuming q is positive.\nAnswer: q**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10388 or -10400?\nAnswer: -10388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from dcdddc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + -0.07. Which is the second smallest value? (a) f (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/9 + 176*b**4\/9 - 3308*b**3\/9 - 8272*b**2\/3 - 4418*b.\nAnswer: -2*b*(b - 47)**2*(b + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**3 + 1. Let h(j) = 130283*j + 35*j**2 - 130283*j. Calculate o(h(q)).\nAnswer: -3675*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 5328 = 15*p - 3*l, 0 = 4*p + 4*l - 21376. What are the prime factors of p?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q**(2\/5)\/q*q*q)))**(-6)*(q\/(q\/q**0))**(-3\/16) assuming q is positive.\nAnswer: q**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101000100111111 - -10100110011?\nAnswer: 1011101011001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -462*i*l**2 + 4906*i*l + 5*l**2 - 815908 wrt i.\nAnswer: -462*l**2 + 4906*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8645 + 6182. Is -2463 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 0*f + 0*f. Let h(g) = g**2 - g - 1. Let y(d) = -d**2 - d - 1. Let k(p) = h(p) - y(p). Give k(i(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*1*sqrt(1539))**2*5 + 3.\nAnswer: 492483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m - 42. Let s(v) = 5*v + 21. Let n(k) = -5*s(k) - 2*z(k). Let p be n(-11). Suppose 0 = p*r - 8*r + 28. Is -10 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/15*-430*1\/(-2). Let p = 4388\/17 - n. What is the nearest to 0.1 in 0.3, p, -0.06?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 80544180*d + 161088376.\nAnswer: -4*(d - 20136047)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**5 - 5*o**4\/2 + 5*o**2 + 5*o + 8. Find j such that p(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.72314 and -19290.\nAnswer: -19290.72314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m - 186 = 360 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79195800, -79195801, -79195802, -79195803?\nAnswer: -79195804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11555009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 1, x: 3, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4003 + 4043 = -2*m - 8*s, 3*s + 15 = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/((-42)\/(-7)))\/((-2)\/(-38262)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*y + 930670 - 128216 = 4979286. What are the prime factors of y?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.968? (a) 4 (b) 0.16 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1\/24*a**4 + 1\/6*a**3 - 3*a**2 + 1\/60*a**5 - 1\/120*a**6 + 0 + 0*a. Let m be j(0). Solve 7 - m = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/6)\/(-19)*(-9)\/(-6)*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.2. Let z = j + -0.9. Let m = 0.14 + 0.16. Which is the nearest to -1? (a) 0 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978\/7 < -1\/204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 8*f - 11. Give y(8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 2}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/4 - 16583*r**3\/2 + 414125*r**2 - 5796050*r + 24837000 = 0.\nAnswer: 10, 30, 33116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3559 + -3559. Find i such that b - 2*i + 2\/3*i**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1514*t - 4157*t - 16233 + 100628 = -63051 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1810 - 1817. Let n(l) be the first derivative of -l**3\/3 - 4*l**2 - 8*l + 1. What is n(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1216, -1211, -1192, -1153, -1088, -991?\n\"Answer: x**3 + x**2 - 5*x - 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 11 + 54 - (-19 - 125)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -13 - 5. Let z be (-58)\/a - 2\/(-6). What is the units digit of ((-8)\/z)\/(3\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33310190789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25031824 divided by -4.\nAnswer: 6257956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71340903 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2968 greater than or equal to -28\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:47 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -159225 plus 5?\nAnswer: -159220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8965)\/2934)\/((-44)\/12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(21320\/123)*980\/7*(-1)\/2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:20 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6109597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 168*j - 54. Give w(-24).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-14) - (-676)\/91. Let b = 18 - 11. Solve 5*m = -c - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 12?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 2*j**2 - 34*j + 20. Determine b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/4)\/1*((-1840)\/12)\/46.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 19 - (565 - 605)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*u - 6118*u**3 + 5993*u**3 + 116*u.\nAnswer: -125*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5)*5\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(252) + sqrt(252) + (sqrt(847) - sqrt(847)*2))**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}