diff --git "a/data/dm_maths/full_data/1839_11255.jsonl" "b/data/dm_maths/full_data/1839_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1839_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 24509 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 23805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -744596 minus 251299785?\nAnswer: -252044381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t**2 - 664*t - 15. Calculate z(35).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(425) - ((sqrt(425) - (0 + sqrt(425))) + 5)) + sqrt(425) - 1*sqrt(425)*-2*2)**2.\nAnswer: -540*sqrt(17) + 15381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y**3\/2 + 20361*y**2\/2 - 3390*y - 6786 = 0. What is y?\nAnswer: -2\/3, 1, 2262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 314565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 14*z - 10. What is r(16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -23188 in descending order.\nAnswer: 5, 4, -23188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 5*i**2 + 2*i + 2*i**2)*((i + 2 + 0 + 1)*(-6*i - 2*i - 2*i) - 5*i**2 - 2*i + 2*i).\nAnswer: 15*i**4 - 60*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d2875 - d?\nAnswer: 4d2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 294?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -956, -3900, -8808, -15680, -24516, -35316, -48080?\n\"Answer: -982*t**2 + 2*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/125 and 6\/65?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.58 (b) -2 (c) 0.4 (d) 0.5 (e) -2\/15 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v - 4*v + 3*v)*(2 - 2 - 2) + 2 - v - 2 - 4*v - 28 + 28)*(0*v**2 - 2*v**2 + 5*v**2).\nAnswer: -27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-2 - (9 - -2)). Let k = -9 + c. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1581 and 362508.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*p - 421, 4*p - 617 + 33 = 3*y. Let i = p - 97. Let q(r) = r**2 - 2*r + 4. What is the remainder when i is divided by q(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -367 + 9221 - 2573*m**3 + 6*m**3 - 700*m**3 wrt m?\nAnswer: -9801*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 5*s - 10 = 20*f, 14 = -2*f + 4*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49351392323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25345733?\nAnswer: 7, 3620819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-4*n + 2*n + 0*n) + 5*n - n - n + (-78*n - 44*n + 26*n)*(2 - 14 - 2).\nAnswer: 1349*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -57. What is the remainder when s\/(-45) + 170\/3 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r = 9. Find the second derivative of -3*t - 25*t**3 + 12*t + 28*t**r wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yjjjjyjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v*v**(1\/4)*v)**(6\/25)*(v\/(v\/v**3))**(-11))**(-2\/9))**(8\/19) assuming v is positive.\nAnswer: v**(4232\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237*i**3 + 2669*i**3 - 1034*i**3.\nAnswer: 398*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 51.5. Let y = s - 8.5. Is 4 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.422085 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 8*y**3 + 19*y**3 - 29*y**3.\nAnswer: -2*y**3 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 219591467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -1, -16\/5, 3?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30652*b - 1434*b - 5 + 4079*b.\nAnswer: -28007*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7607638*o - 6885511.\nAnswer: 7607638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-92)\/(-16) - 3\/(-12). What is the highest common divisor of w and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17327102818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61791572, -123583150, -185374728, -247166306, -308957884?\n\"Answer: -61791578*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*-3*2\/(-24). Let a = 3.4 - 3. Let o = 5 + -4. What is the biggest value in m, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 - 26*l - 28. Let j(y) = -y**2 + 5*y + 5. Calculate 16*j(q) + 3*w(q).\nAnswer: 2*q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 22*u**2 + 6*u - 81. Let v(h) = 20*h**2 + 4*h + 2. Let y be v(-1). Is n(y) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 80 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 5*i**4\/12 - 5*i**3\/6 + 6*i. Find the second derivative of t(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 176.59512?\nAnswer: -176.99512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/20 - 7*t**4\/12 - 4*t**3\/3 - 7*t**2\/2 + t. Let d be c(-6). Find the second derivative of -2*i**2 + d + i - 5 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 9*z - 38 = 14*z, -3*z + 12 = 4*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*h = -3*o + 10, -4*o = 3*h - 12. Solve -b = 1 - o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/7 + 74726*f + 523081\/7 = 0. What is f?\nAnswer: -523081, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 - 3*q**2 + 6*q**2)*(27731*q**2 + 9896*q**2 - 9409*q**2 + 14127*q**2 + 914*q**2 + 141*q**2) as z + x*q**4 + g*q**2 + h*q + w*q**3 and give x.\nAnswer: 86800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231950 + -61466614\/265. Let w = 17319\/106 - 327\/2. Let y = r + w. Which is the second biggest value? (a) 1\/7 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/22 + 4\/(-22)*-1. Let f = 10 - 7. Let n = m + f. Solve n*j + 12 = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1 (b) -2\/3 (c) 5 (d) -0.006 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.3 plus -11?\nAnswer: 322.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 5*z**2 - 10*z + 11. Let r be b(4). Which is bigger: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/((-21)\/28). Let r = v - 0. Find the third derivative of 2*d - d**2 - r*d**5 - 2*d wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 39*v**2 - 35*v - 244. Calculate k(38).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h - 14. Let g(d) = 2*d + 2. Give -8*g(k) + w(k).\nAnswer: 2*k - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*d - 243, -4*z + z = -12. Suppose 6*y - y - d = 0. Let p(u) = u - 1. Let r be p(4). Solve -2*a + 5*b = a + 35, a = r*b - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 1. Let k be n(2). Let g = 1.33 - 1.422. Let f = g + 0.152. What is the third smallest value in f, k, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5035 - 5032.049. Let r = c + 0.049. Sort r, -0.2, 1\/8, 0.2 in increasing order.\nAnswer: -0.2, 1\/8, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 1. Let d(q) = 2*q**3 - 3*q**2 - 2*q - 21. Give d(p) - 3*u(p).\nAnswer: 2*p**3 - 2*p - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 174 + 5*s + 165 - 8219*s**2.\nAnswer: -8219*s**2 + s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*3*(sqrt(304)*2 - sqrt(304)) + (1*(sqrt(304) + (sqrt(304) + 0 - sqrt(304))) - (sqrt(304) + sqrt(304)*-1 + 1 + sqrt(304)))))**2.\nAnswer: 480*sqrt(19) + 273604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*s - 7. Solve 0 = -7*h + s*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 101*l - 105*l + 3 = 0, 2 = 2*u - 4*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a second in milliseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f - 192*f + 6 = -5*m + 15, -3*f - 2*m = -14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -4.1056498.\nAnswer: 7.1056498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*q + 3*x, -2*q = -3*q - 2*x - 10. Let r be 0\/(0 - q - 3). Solve 0 = s - r + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*u + 1824, 4*n + 3*u - 6*u = -1824. Is -455 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -36*i. Let s(k) = -k**2 + 564131. Calculate s(p(o)).\nAnswer: -1296*o**2 + 564131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252269 (base 10) in base 7?\nAnswer: 2100323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 50 - 23*j**3 - 80 to t*j + c*j**3 + f + d*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 551413 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 - 24*u - 5*u + 2512*u**3 - 2514*u**3 - 27*u + 6*u**2.\nAnswer: -2*u**3 - 56*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 4*r - 2 + 4)*(r**2 + 2*r**2 - r**2) - 10*r + 10*r + 53*r**3)*(0*r - r + 0*r) to j*r**4 + i*r**3 + a*r**2 + o*r + x and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, k: 10}. Give prob of picking 3 b.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*m + 3*m, b = -5*m - 6. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 0 (b) 4\/7 (c) 0.13 (d) 1\/694 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.7343961.\nAnswer: -1.4687922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1086591, 2173223, 3259895, 4346607, 5433359, 6520151?\n\"Answer: 20*j**2 + 1086572*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1\/2 (b) -0.4 (c) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/24 - b**3\/3 + 3*b**2\/4 + 9*b - 6. Let v(y) be the first derivative of l(y). What is h in v(h) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/1)\/(9\/78). Let r = -481 + 486. Suppose 5*g - 4*m = -j + 182, 2*g = -r*m + 36. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 870*g + 7 - 13.\nAnswer: 870*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (0 - -3))\/(-33 - (-18 + -26))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 8}. What is prob of sequence vccc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130\/17 - 7704\/1003. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6557, -13112, -19667, -26222, -32777?\n\"Answer: -6555*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23aa33b (base 13) to base 10\nAnswer: 11075634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(((-24)\/(-48))\/(2\/8)). Is u smaller than -2\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and 225.53.\nAnswer: 33.8295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67079635303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83689 less than 1268?\nAnswer: -82421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15 + 814\/55)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 6*i + 5*i - 7 + (i - 2*i + 0*i)*(2 + 0 - 6).\nAnswer: 2*i - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q - 1. Suppose 3 = 2*f - 9. Calculate the highest common divisor of q and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-530)\/(-18) + 4\/(-18)*(-224)\/(-112)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3516216 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7213488*m**3*v**2 + 1889*m**2*v**2 - 2*m**2*v + 94*m*v**2 wrt m?\nAnswer: 43280928*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 3. Let z = -0.2 + -1.8. Which is the biggest value? (a) z (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.6 + -5. Let r = 0 - 0.2. Let d = r - -2.2. Which is the third biggest value? (a) d (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*t + 94330, -5*u + 18710 + 75645 = 2*t. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 less than -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*4 + -1*(sqrt(14)*3 - sqrt(14)))\/(-2*(sqrt(7) + sqrt(21)\/sqrt(3)) - 6*sqrt(70)\/sqrt(10)).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-27)\/(-189))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-9))\/(2\/87). Let w = o - 90. Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from kvcvovkrrxcccrk?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/5, 0.3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) 2\/3 (d) 1.9 (e) -6\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/20 + 2*j**4\/3 + 2*j**3\/3 + j**2\/2 + j. Does 28 divide b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*s + 11, 17 = 5*i + 2*s + s. Let l = i + 14. Calculate the remainder when 71 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114554, 229107, 343660?\nAnswer: 458213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 70. Let m be -1*(-3)\/(-2)*-4. Let k be (-16)\/6 - m\/18. Put 4, k, 3, v in decreasing order.\nAnswer: v, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 8144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55888460.\nAnswer: 2, 5, 743, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1133)\/(-33) - (-1 + 1\/3). Suppose -4*f + v + 169 = 0. 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 -10 (base 16) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(2\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3\/4, -1\/4, -109, -181, 1\/77?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51210 divided by 90.\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -177*i - 3. Let p be k(-2). Calculate the highest common divisor of 39 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(300) + -3)**2.\nAnswer: 180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r + 23*r - 2 + 34*r + 3 - 34*r + 53*r.\nAnswer: 132*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:33 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + 242\/5. Suppose i + g = 3*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28415 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from wcadcccwdccccwccwwcd?\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*i - 18*i - 3679. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 558787.\nAnswer: -1\/558787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 362971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 5. Let b = 7 + -4. Let f(g) = 2*g - 11. Let r(j) = b*f(j) - 7*i(j). Determine r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 7. Suppose 4*y = -10*y. Let u be a(y). Is 0\/u - (-228)\/2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 7 = 6*v - 4*v - 4*s, 5*s = -15*v + 60 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3190252 to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, 0, 14, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 7. Let o(q) = -2*q + 21. What are the prime factors of o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)*(p**(-3)*p)\/p*p*(p**14*p)\/p*p*p\/(p\/p**37)*p)**12 assuming p is positive.\nAnswer: p**(3096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9654*w**2 - 10083*w wrt w?\nAnswer: -19308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(135)*3)\/sqrt(9) - (sqrt(15)*-1 - sqrt(15))*-4)\/((sqrt(3) - 1*sqrt(192)) + sqrt(12)*-5) + 0.\nAnswer: 4*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*i - 2*r, 0 = -74*i + 75*i - 3*r - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/34739484 and -33\/1079?\nAnswer: 34739484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 159 = -3*n. Let m = -40 - n. Calculate the remainder when 2\/4 + (-507)\/(-6) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7530 - -1227. Suppose -m + 1643 = -l. Round m to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230755423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 650*d + 21125.\nAnswer: 5*(d - 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 77*r + 104*r - 106*r)*(-2 + 3 + 3) to the form j + f*r and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7919 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (90*-2)\/(-5) - -3. Let g = -38 + h. Let f = 2\/1319 + -9277\/29018. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*44\/(-448)*-7\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 20.\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126.1 - -126. Let w = -0.76 + -1.24. Which is the closest to f? (a) -4 (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n. Suppose -8 = -4*t - n. Suppose -4*b = -6*b + 16. Calculate the lowest common multiple of t and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3 - 9821*q**2 - 77428009*q + 77437829 = 0. What is q?\nAnswer: -5167, 1, 14987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppup when four letters picked without replacement from pppuupupppppppp?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 + 931 + (-2862)\/(-32)?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + -8)\/(4\/14). Suppose 8 = -3*c + a*c. Suppose 2*j + 5*r - 5 = 0, c*j - 5*r = -3*r + 26. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/54)\/((-25)\/15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3 + 1. Suppose -166 = -3*g - 5*a - 53, -b = -a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121673 (base 10) in base 14?\nAnswer: -324ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1341*j - 665*j + 4 - 674*j. Suppose 0 = 4*f - 0*f + 28. What is a(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3*l**2 + l**2)*(-2 + 2 + 2*l**2 + (-2*l - 2 + 2)*(17 - 44*l - 17)).\nAnswer: -90*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n. Let y(s) = -118856*s. Give y(h(x)).\nAnswer: 237712*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*n - 89*n - 30. Let t be (n\/(-4) + -1)\/((-15)\/90). What is f in 1\/5*f**5 + 46\/5*f**t - 18*f**2 - 27\/5 - 11\/5*f**4 + 81\/5*f = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 154 + 646 = 0. Let f = 165 - o. Calculate the remainder when 23 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-420)\/(-560))\/((-2)\/(-104))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 23 + 41 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16620 - -16619. Suppose 3 = 2*p + 1. Suppose p = 7*d - 2*d - 3*w, 0 = 5*w - 15. Which is the closest to z? (a) 3\/5 (b) d (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vos when three letters picked without replacement from osvvgssfs?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1550*c**6 + 1334 - c**2 - 1088 - 2*c**2 - 912*c**6 wrt c?\nAnswer: -295440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**17*k*k*k\/k**(-1\/35) assuming k is positive.\nAnswer: k**(-419\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 31*m**2 + 2348*m + 16292. Calculate b(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 420?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 12*u - 16. Let w(n) = 124*n**2 + 2*n - 1. Is w(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*k - 1 = 0, 3 = 2*s - 4*k - 17. Suppose s = -2*m, 9 = c + 2*m - 7*m. Which is smaller: c or -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 8 = 2*u, 0 = 3*b - 1002*u + 1009*u - 41 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3128 and -71\/2771408?\nAnswer: 2771408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*w + 34, -w - 3*g = 2*g + 12. Let t = -5 - w. Suppose n = -3*n + t*a, 2*n - 2*a + 4 = 0. Solve -f + 3 = -n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-330) - 8\/(-60)*3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 439 and 7?\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -337, 0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-108)*2*6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 906333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + o)*(-5 + 1 + 3)*(-o**2 - o**2 + 0*o**2)*(-5*o + 6*o + 2*o).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -42. Suppose m = -5*t - 3*b + 27152, -2*t + 15741 = -b + 4878. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**4 + 27024*p**3 + 60992871*p**2 + 606582174*p - 1457352072 = 0.\nAnswer: -4499, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 12) + 26 + -16 + 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/(-714))\/(((-3)\/(((-609)\/(-1))\/(-3)))\/3).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 633 + 4189 = 0. Let f = s + -16022\/9. Find the common denominator of f and -5\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000490311778 rounded to 7 dps?\nAnswer: -0.0004903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5320089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128*h**3 - 397*h**3 - 404*h**3 - 324*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-1 + -19 - -20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16604 + -16508. Calculate the least common multiple of z and 1168.\nAnswer: 7008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p**(-1\/2)*p**(-3\/5)*p\/(p\/((p**2*p)\/p)) assuming p is positive.\nAnswer: p**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - (-30)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 3 - 3)*(-3 - 4 + 2)*(9 - 12 - 19)*(2 - 3*o - 2)*(0 - 2 + 1).\nAnswer: 990*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -215771, -431257, -646757, -862277, -1077823, -1293401, -1509017, -1724677?\n\"Answer: -z**3 - z**2 - 215476*z - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1792.319 days to nanoseconds.\nAnswer: 154856361600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46331 (base 12) in base 11?\nAnswer: -64506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1.04. Let b = 0.16 + c. Let h be 1\/(-4) + 1470\/392. What is the second smallest value in 2\/7, b, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -3*p**6\/10 - 2*p**2 - 2*p - 8. Let f(y) be the first derivative of j(y). What is the first derivative of f(b) wrt b?\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67751 - 4602. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -17*f**3\/3 - 8. Let c(r) = -r. What is i(c(h))?\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5499 - -1.0375.\nAnswer: -5497.9625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 25.7. Let m = -24 - -23.5. What is the fourth smallest value in y, 0.4, m, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579835 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - 169\/(-910)*3?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*f**3 - 2*a*f**2 - 12*a*f*h + f**5 + 18*f**4*h + f**2*h - 2*h wrt f.\nAnswer: -6*a + 60*f**2 + 432*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 28217310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127704*d**3 - 2*d**2 - 4475630*d wrt d?\nAnswer: 766224*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)\/c**(1\/6))\/(c*c\/c**1*c)**4*(c**(-1)\/(c*c**(4\/5)))\/(c\/c**(-5)*c**(-2)\/c*c) assuming c is positive.\nAnswer: c**(-3173\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61697729449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49736843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 12:53 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 n, and 1 o when four letters picked without replacement from {n: 1, o: 1, e: 1, d: 3, i: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*5\/(35\/21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45720.21395 - -3547\nAnswer: -42173.21395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.446 + 0.445999393. What is i rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16373.151924498 + -16514.1519239. Let r = f + 141. Round r to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let q(c) = -4*c**2 - 27421*c + 19. Give q(r(n)).\nAnswer: -16*n**2 - 54842*n + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 7*f + 16. Let y be r(-8). Let s be 68\/6 - (-16)\/y. Let q = -4 + 8. Solve -2*b + 5*t + s = -13, 29 = q*b - 3*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3653*f**2 - 930461 + 465227 + 1831*f**2 + 1822*f**2 + 465234 - f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*w + 855 = -23*w. Solve -u + 2*j + 12 = w*u, 12 = -3*u - 2*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -114*d**2. Give q(1).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 + 2 = -2*l, -3*r + 8 = 2*l. Let o(f) = 173*f + 44. Is o(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81.129 in 5, 1\/10, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -233*q**2\/4 + 16881*q\/2 + 3335\/4.\nAnswer: -(q - 145)*(233*q + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {u: 2, h: 10, i: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1617418591 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 6. Suppose -3*b = 3*o + f, -2*b + 4*o = -7*b - 5. Solve l + b*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i = 36*i + 3424. Let c = 216 + i. Solve -4 = 4*k - c*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9757.681 millilitres?\nAnswer: 9.757681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -2)\/(4\/10). Let t be (-14)\/(-4)*(-1 + (-26)\/(-14)). Sort q, t, -2.\nAnswer: q, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c - 231. List the prime factors of c.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12499388 is divided by 413?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0103 less than 0.41?\nAnswer: 0.4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 37*x + 3. What is the tens digit of m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7858.366366 + -7809.36636551. Let k = -58 - -9. Let j = u + k. Round j to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-465)\/1550 - (-62)\/(-60)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*n + 17. Let w = 0.029 - 0.329. Sort n, w, -3 in descending order.\nAnswer: w, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19470 and 39028?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z - 3. Let y = -0.3 - -0.6. Let d = 0.2 - y. What is the closest to z in d, -4\/9, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -1562 (c) -0.29 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 183 in -4\/21, -11.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from fefbbfobfebefeebf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1247378655166429.36 - -1247376399132458.75999943. Let b = 2256033982 + w. Let v = 11.4 - b. Round v to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 1, h: 3, i: 4, k: 4, n: 1}. Give prob of sequence iin.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 + 2602?\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + 5. Let j = 681 + 112. Suppose 16*x - j = 1719. What is the remainder when x is divided by f(-6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*f = -289*f - 308 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b - 12*b + 13*b + 21*b - 2*b**2 + 0*b**2 + 4. Let f(a) = -a**2 + 3*a + 2. Give 5*f(n) - 3*q(n).\nAnswer: n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -4 + 6 + 2\/(-1). Suppose 3*g - 6*g - 5*o + a = 0, -3 = 3*o. Factor 2*m - 4\/5 - 6\/5*m**g + 8\/5*m**2.\nAnswer: -2*(m - 2)*(m + 1)*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93566?\nAnswer: 2, 11, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 176, 178, 180?\n\"Answer: 2*y + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -471538 and -2.31.\nAnswer: -471540.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d + 120. What is f(-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/212003?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -13027968.\nAnswer: -1\/3256992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10136*d**4 + 20*d + 47*d**2 + 33*d**2 + 10116*d**4 - 5*d**3.\nAnswer: -5*d*(d - 2)*(d + 2)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*h = -5, 987*h = 989*h - 8 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 1 - 1)*(1 + 0 + 0)*(-n**4 - 3*n**4 + 3*n**4 + (6*n**3 - 3*n**3 + 0*n**3)*(-2*n - 2*n + 3*n)).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 21911*t - 416801. Calculate d(-19).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2 or 31?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1280 or -1116?\nAnswer: -1280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 4*z + 3. What is i(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d - 24. Let r be k(-6). Let x = r + 63. What is the units digit of (-3)\/(-4)*4 + x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:36 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35400681, -70801364, -106202047?\nAnswer: -141602730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -247.904449 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8\/3))**(-38)*g**(-5)*g*g**10)**(-42) assuming g is positive.\nAnswer: g**(-4508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 54 - 5*r**2 - 272*r**2.\nAnswer: -277*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.193 * 15353.41\nAnswer: 2963.20813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -0.236?\nAnswer: -1.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -949, -896, -809, -688, -533, -344, -121?\n\"Answer: 17*s**2 + 2*s - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4272 and 356.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {r: 7, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (7 + (-2 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.4 (b) -0.947 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 6. Let p be r(7). Let a(g) = -g - 17. Let l be a(p). What is the units digit of 0\/l + (-10)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, -2, 1384 in decreasing order.\nAnswer: 1384, 21, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g - g - 5*g + 8*g**4 + 5*g wrt g?\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7714, -7848, -7982?\n\"Answer: -134*w - 7580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 915 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1660662 and 19\/49580.\nAnswer: 614444940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q + j + 1 = 88*q, -7*q - 3*j - 3 = 0. Let w be 2\/4*29996\/(-42). Let k = w + 357. Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*s - 442*s + 28392 = 0 for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 148*m - 9. What is o(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-28))\/(8*4\/112). Let p = 0.57 - 0.17. What is the nearest to 0.06 in w, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*n**4 + 225.\nAnswer: -128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -32. Let z = 43 - x. Calculate the remainder when z is divided by (-45)\/(-6)*8\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -227, -127, 41, 277, 581, 953?\n\"Answer: 34*k**2 - 2*k - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s - 5*s + 5*m - 31, 5*s + 3*m - 42 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/120 and -1\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000205632455 rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*v - 15 = 30, 77 = 5*p + 4*v. Let t(u) = -2 + 24*u - p + 4. Does 12 divide t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 - 15.81. Let f = d - -16. Let v = -4.2 - -5.2. Which is the third biggest value? (a) v (b) f (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u - 27*u + 18*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4975, 20053, 45257, 80581, 126019, 181565, 247213, 322957?\n\"Answer: -j**3 + 5069*j**2 - 122*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, -190, 26, -4 in descending order.\nAnswer: 26, 4, 2, -2, -4, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 12 = 3*q, 26*t - 3*q - 4 = 21*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -92800 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1331217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 0*y**2 + 2*y**2 - 4*y**2. Let i(j) = -2*j. What is q(i(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + q + 0 = 13, 5*p + 2*q + 40 = 0. Suppose -7 - 5 = -3*h. Suppose -4*m + 13 = n, m = -h*n + 3 + 4. Put m, -3, p, -2 in decreasing order.\nAnswer: m, -2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25688, 25679, 25668, 25655, 25640?\n\"Answer: -m**2 - 6*m + 25695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**3 + l - 5. Let h be d(-2). Let a = 95 - 15. Let j = a - h. Calculate the greatest common divisor of j and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*f = -2*t - 77*f + 42276, -t + 3*f + 21154 = 0. Does 32 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 555 and 70251.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = -3*w, 6*w - 3*w - 4*i - 18 = 0. Suppose -t + w*z = -4, 3*t + 4*z - 2 = 40. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.589 - 0.049. Round w to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143311517 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2076*z - 4317*z + 2718*z to the form x*z + l and give x.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75134 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -3 + 2 + 1. Let v(i) = 5*i + 3. Let y be v(b). Suppose t + t - 20 = -r, 2*r + 23 = y*t. Round t to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 3*w - f, -3*w + 15 = 5*f. What is the lowest common multiple of 3 and -4 - -1 - (-4 - w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(0 + 19 + 94)*(4*g**2 - 4*g**2 - 3*g**5).\nAnswer: 678*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1957482 and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45.3 from -0.5.\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -88, -105, -96, -55?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 5*w = 39. Let d = w - 11. What is the tens digit of 42 + (-8)\/d + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m = 0. Suppose m*z = -3*z. Suppose -u + z*u = 4*n + 24, -2*n - 10 = 0. Sort 1, u, 4 in increasing order.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.7. Let j = -0.4 - n. Let d = -22 + 22.1. Which is the closest to d? (a) 3\/2 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let b be ((-4)\/8)\/(2\/4). What is the closest to -1 in 3, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 2*m - 3*m)*(-287*m**3 - 303*m**3 + 551*m**3 + (-1 + 1 + 2*m)*(3*m**2 - 6*m**2 + m**2)) to the form r*m**4 + c*m + z + o*m**2 + f*m**3 and give r.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*p*x + 459*p + 122*x + 80 wrt p.\nAnswer: -11*x + 459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 1\/(-2)*-10. Sort 3, q, 2, -3 in descending order.\nAnswer: 3, 2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 280 = 2*s, -19*s + 15*s + 695 = 5*z. Let w = -130 + z. Solve -2*j + 0 + 2 = -2*i, w*i + 32 = -4*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c**2 - 2*c - 4. Let x(y) = 1. Let u(i) = q(i) + 3*x(i). Let z be u(2). Let b = z + -35. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30685432 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 8*q + 2. Solve 22 = -5*g + q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (350\/(-49) - -8)*1\/(-2). What is the third smallest value in p, -2\/7, 0.2, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20556298 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 7*z**2 + 6*z - 4. Let r be u(-8). What are the prime factors of (582\/9)\/(r\/18)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-6*(1*sqrt(85)*1 + sqrt(85)))\/(sqrt(60)\/(sqrt(36)\/sqrt(3) + sqrt(12) + sqrt(12)) - (sqrt(5) - sqrt(20)\/(sqrt(8)\/sqrt(2)))) + 5).\nAnswer: -216*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-30 - 8) - -2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.92 and 51?\nAnswer: -913.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/9 - 17*f**2\/3 - 44*f - 580\/9.\nAnswer: (f - 58)*(f + 2)*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 47*h. Calculate the remainder when v(2) is divided by (-248)\/310 + ((-945)\/(-25) - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-555)\/2)*4326\/12978*4\/(-5)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a + 1. What is d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0, -5, 48?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - -131031033223?\nAnswer: 131031100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 2*b)*(-19*b**3 + b**2 + 10*b**3 - 33*b**3).\nAnswer: -42*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34499 + 132861 = -2893*b for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 3*t**4 + 0*t**4)*(3 + 10*t - 3).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 808637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/637 and -29?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42578 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -3 (c) 26 (d) 4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59470 and 11894?\nAnswer: 59470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -289, -1170, -2613, -4612, -7161, -10254?\n\"Answer: y**3 - 287*y**2 - 27*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 18. Let z be ((-12)\/5)\/(2\/h). Let t be 3 + 3\/6*138. Calculate the highest common divisor of z and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -i + 4*i. Let w be i\/(-6) + (-16)\/(-33). Let m = -22674 - -22660. Which is the nearest to -0.1? (a) w (b) m (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (0\/(-4) - 0) + 2. Solve -2*f = r*m - 0 + 2, 29 = -3*m + 4*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000001001011110 - -100000?\nAnswer: -1101000001000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 344.\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-49)\/630*(-456)\/(-1330).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 700.6 + -703.2. Which is the third biggest value? (a) -3\/8 (b) 4 (c) 0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1898*u - 1869*u + 319 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and 8\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36.2209 + 0.34402318\nAnswer: 36.56492318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 3*w - 1. Let n be q(2). Let p be (-6)\/9*57\/(-14). Let l = p + n. What is the biggest value in -2\/5, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose 7*d - 3*d = 0. Suppose -w*j + j + 19 = d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56258, 112433, 168608, 224783?\nAnswer: 280958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/6*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(13\/3)*g)\/g)**(-25) assuming g is positive.\nAnswer: g**(-325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 121 = 5*g - 39, 5*g - n = 144. What is the second derivative of 15*v + 3*v + 10*v - g*v**4 + 3*v wrt v?\nAnswer: -336*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/9 - (-16)\/9. Suppose -5*l + 12 = -k, -l + 6 = q*l. Find the common denominator of 73\/(-14) + k\/14 and -65\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 541 - 541. Factor 3\/8*u + i*u**2 - 1\/4 - 1\/8*u**3.\nAnswer: -(u - 1)**2*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273 + -167. Calculate the remainder when i is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -6939754.87?\nAnswer: 6939754.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 7. Let s be g(5). Suppose s*k = k + 3. Suppose 0 = -k*q + 12. Solve 1 = q*o + 2*c - 1, o + 10 = 3*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 2. Let r(c) = 16*c - 5. What is 2*r(k) + 10*z(k)?\nAnswer: 2*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1584 by 66.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3+-28197714628\nAnswer: -28197714625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/429*13*(-78)\/(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 2*r - 17. Let b be x(5). Put b, 1, -10 in decreasing order.\nAnswer: 1, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 13) to base 8.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012975 to seven dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 14300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/14 and 7\/207307108?\nAnswer: 1451149756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*m*v**3 + 7*m*v**2 - 26*m*v - 15*v**5 wrt v.\nAnswer: -210*m - 900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/3 - 2*c**3\/3 - 34*c**2\/3 - 10*c = 0. What is c?\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, k: 5}. What is prob of picking 1 x and 2 k?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1325 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031076045?\nAnswer: 3, 5, 53, 432317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 973304 and 29014.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Let l(y) be the third derivative of y**5\/60 + y**4\/8 + 2*y**3\/3 - 37*y**2. Let f be l(-2). Solve -f*n - k*n - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnhhhhnqqhhqqhqhq. Give prob of sequence hh.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + -2)*6)**2 + -2*(sqrt(13)*1 + 1)**2.\nAnswer: -292*sqrt(13) + 1988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064741610.\nAnswer: 2, 5, 7, 19, 2304317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/264607455 and -59\/6582275?\nAnswer: 1323037275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4094549 minutes in weeks?\nAnswer: 0.000139826875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101001001110011 (base 2) in base 5?\nAnswer: -12310121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167022842 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a + 12 = 0. Let d(p) = p**3 + 12*p**2 + p + 8. Let r be d(a). Let y be (6\/r)\/(7\/28). Let i(n) = n + 7. Determine i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46480 = -3*o + a - 3353, -71882 = -5*o - 2*a. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, 32, 112, 220, 350, 496, 652?\n\"Answer: -v**3 + 23*v**2 - 16*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 - 6*g**2 + 22*g + 104. Let o be d(-6). Let c = -396 + o. What is the lowest common multiple of 68 and c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 123*a + 362. Let q be m(-120). Let v(w) be the third derivative of 0*w + 11*w**q + 25\/36*w**4 - 7\/270*w**5 + 0 + 22\/27*w**3. Factor v(d).\nAnswer: -2*(d - 11)*(7*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 47*o**3 - 2*o**2 + 2*o - 1. What is j(1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**5 + j**5 - 3*j**5)*(4 - 3 - 2) - 7*j**5 - 12*j**5 + 3*j**5.\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21439720359\/56 - -382868251. Let f = w + -16101. Let x = f + -3\/28. What is the common denominator of 23\/20 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 17 - 57 - 10*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 950072.1ml in litres?\nAnswer: 950.0721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o**4 + 76*o**3 - 56*o**2 = 0 for o.\nAnswer: -7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iixa when four letters picked without replacement from kkxxxkvakkxikxxxikx?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 2, q: 4}. Give prob of sequence qvq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 - -0.1. Let r = 3 + -2.99. Let m = h - r. What is m rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/4832 and -3 - -11 - ((-5346)\/616 + 19)?\nAnswer: 33824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, -4051.\nAnswer: -4051, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074375100 is divided by 352?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -35528.\nAnswer: 39080.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c - 4\/105*c**7 - 13*c**2 + 0*c**6 + 0*c**3 + 0 + 0*c**5 - 17\/24*c**4. Find the second derivative of x(k) wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.71 + -0.7. Let k = 0.0099997 - a. What is k rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2491, -8130, -17257, -29872, -45975, -65566, -88645?\nAnswer: -115212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -25, -34, -45, -58, -73, -90?\n\"Answer: -p**2 - 4*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 43*j**2 - 16560*j + 1109700.\nAnswer: (j - 90)**2*(j + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 22. Suppose 2*j - m = j + 7, -3*j - m = -25. Suppose -j*z - 8 + 128 = 0. Calculate the remainder when z is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/(-30) + (-330)\/(-180). Solve 1 - 16 = -d*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*c = -20, 0 = 2*n - c - 20 - 31. Solve n*q = 28*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229055619 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2 + 14. Suppose -w - 4*w = -20, u*w = -3*l + 61. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 739276176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*h - 15 = n, 4*h = -3*n + 16. Suppose -i + 4*p - p + 32 = 0, 4*p + 144 = n*i. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 84. What is the remainder when (108\/u - 3)*7 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -477, -1518, -3485, -6672, -11373, -17882, -26493?\nAnswer: -37500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(25\/(-90)*9\/15*6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/87 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 - (-3 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-904)\/1008 + (-78)\/(-52)*(-8 - (-308)\/36)?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/(3\/((-387)\/10)))\/(134\/(-670)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/((-8)\/240*20)*(-28)\/(-9)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, b: 4, a: 2}. Give prob of picking 1 w and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*s + 3*p, p = -2*s + 6*p - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*w + 39*w - 612. What is the greatest common divisor of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22053826 is divided by 98?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3898 = 6062*s - 141590 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29459.\nAnswer: 89, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:35 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/21)\/(1\/(-3)). Let l be (2 - n)*2\/(-2). Let p = l + -1. What is the third smallest value in p, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -148, 47, 1, 3 in decreasing order.\nAnswer: 47, 3, 1, -7, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1045)\/(-55)*(-9)\/9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129.801? (a) 2\/13 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*n**4 - 3*n + 9 with respect to n.\nAnswer: -36*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 96 + 27 = 0. Let v = d + 83. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18709.46 times 1\nAnswer: -18709.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 21*s**2 + s + 29. Let n = -78 + 57. Calculate the smallest common multiple of 2 and g(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f**2 - 3*f - 4. Let y = -22 + 19. Is s(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(1*sqrt(56)\/sqrt(7)))\/(-2*(sqrt(5) + (sqrt(5) - (sqrt(125) - sqrt(5))*-1))).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2*p + 4*p)*(-3 + 3 + 14) + (4 + 7 - 12)*(-4 + 3 + 3)*(2*p + 2 - 2).\nAnswer: 24*p - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4524 by -4.\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -56b (base 15) in base 14?\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y - 4. Let u be z(-4). Suppose -4*c + 36 = -u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:57 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*m**4 + 47*m**5 - 2*m**4 - 51*m - 11*m**4 wrt m.\nAnswer: 940*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 21 = 5*g. Find x such that 3*x**2 - g*x**2 + 18*x - 4*x**2 - 2*x = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(468) + 1)*-5 - (((sqrt(117)*-2 - sqrt(117))*-5 - sqrt(117)) + sqrt(117) - sqrt(117))\/((sqrt(36) - sqrt(9))*-2 - sqrt(9)))**2.\nAnswer: -150176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttcccttccsctstcttc. Give prob of picking 2 c and 2 t.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 + 9 = 0. What is the remainder when 1\/(4*c\/(-456)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50a - -12447?\nAnswer: 12956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 34*p - 422. Calculate b(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-15) - (15 - (-9668)\/(-580))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -53, -4, 2\/9, 0.2, 14, 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 1\/5 (c) 0.25 (d) 8161 (e) -5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -52, -54, -56?\n\"Answer: -2*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*x = 86*x - 3675. What is the common denominator of 33\/86 and (x\/330)\/(2\/4)?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1563, 6120, 13717, 24354?\n\"Answer: 1520*o**2 - 3*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -44, -91, -168, -281, -436, -639, -896?\n\"Answer: -s**3 - 6*s**2 + 2*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -536 + 1050 - 514 + 40*y**2. Let h(q) = 349*q. Determine h(j(b)).\nAnswer: 13960*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -34*o + 13*o + 1 + 20*o. Let w(k) = -17*k**3 - 18*k + 3. Let g(n) = 3*i(n) - w(n). What is the second derivative of g(v) wrt v?\nAnswer: 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 25*z**3 - 2*z**2 + 17. Let j(y) = 51*y**3 - 5*y**2 + 34. Let m(r) = 2*j(r) - 5*p(r). Differentiate m(s) with respect to s.\nAnswer: -69*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 61*h - 435. Give a(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/2 + 8*j**3\/3 + 5*j**2 + 4*j - 2. Factor g(c).\nAnswer: 2*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 - 2 = 2*i. Suppose 5*x + 48 = i. Suppose x*s - 10 = s. Solve -s*v = -3*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 609 and 884674.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881*l - 13739 = 1210*l + 1820*l + 42135 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*d - 16*d - d**3 - 23*d + 6*d**2 + 2*d**4 - 14*d - 3 + 18 as h*d**2 + p*d**4 + r*d + n + b*d**3 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 8. Suppose -2*p + 0*p = -z. Does 15 divide (-20 - 0)*(-9)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 16*q**2 - 23*q + 125. Let v be w(17). Solve 68 = -6*y + v*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 687\nAnswer: -2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 16*u + 299. Give a(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1290 divided by 6.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let s(w) = -4*w - 12. Calculate 6*a(n) - s(n).\nAnswer: -2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 - 6448706*x. Let w(y) = 2*y. Determine p(w(r)).\nAnswer: 20*r**2 - 12897412*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 3 - 23)*(v - 1 + 1) + (-v - 2*v + 4*v)*(-1 - 5 + 4).\nAnswer: -41*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*y - 11 = 0, -30 = -3*x + 2*y - 9. Let k be 6 + ((-15)\/x - -2). Does 13 divide (-3 + 6 - -2)*k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100243 and 405119.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4625458*d*v**2 + 282*d*v - 43*d - 18*v - 3 wrt v.\nAnswer: 9250916*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -380? (a) -4 (b) -0.4 (c) 2\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 s, 1 l, and 1 p when four letters picked without replacement from {e: 1, p: 2, t: 4, l: 5, s: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/29304 and 29\/15.\nAnswer: 146520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 16*u**2 + 41*u + 983. Determine g(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:46 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b + 1. Let r(u) = 3*u**2 - 9*u + 4. Let h(w) = -2*m(w) - r(w). Let j(y) = 3*y**2 - 6*y + 3. What is -4*h(a) - 7*j(a)?\nAnswer: -a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 396\/(-6) - (-1 + 0). Let u = m + 74. Is u at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 - 5*t - 1. Let s be p(5). Let d = s + -91. Suppose 2*x = -d*x + 19450. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34425\/(-54) - 2\/(4\/(-3)). Is (-70)\/4*y\/265 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {v: 3, d: 8, r: 6, f: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(3\/8)\/q)\/q)\/(q*(q\/q**(-1\/5))\/q*q*q))\/(q**(-1\/4)*q**(-1\/2))*(q**(-3\/7)*q**(-12\/11))**(-27) assuming q is positive.\nAnswer: q**(113809\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22*(2 + 9\/(-6)). Let w be (i\/(-22))\/((-1)\/6). Suppose -5*t + 205 = w*b, 6*t + 215 = 4*b + t. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 28960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/239, 0.1468, 0.09 in descending order.\nAnswer: 0.1468, 0.09, 6\/239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*l**2 - 1 - 3305*l + 3305*l.\nAnswer: 432*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 22 = 6. Solve 4 = v + u, 4*u = -3*v - l + 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q + 0 - 5\/24*q**4 + 0*q**3 + 3*q**2 + 1\/15*q**5. Let z(k) = 6*k**2 - 8*k. Let y = -13 - -21. What is y*w(p) - 5*z(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 - -2)) + 14 + -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1311998 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(68) + 2*sqrt(68))*6)\/sqrt(4))**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 470241985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 100*o + 1758*o - 1065*o - 5*o**2 + 1797*o - 2585 = 0.\nAnswer: 1, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qqqtqqqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/(3 - (-26)\/(-10)). Is (f - -1) + 1964 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 40 = 4*u. Solve s + 23 = u*i, 4*i - s + 4*s = 26 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292750 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: Four letters picked without replacement from {j: 2, e: 6}. What is prob of sequence ejee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.877? (a) 18 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = -4*k. What are the prime factors of 11\/2 - k\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-8 + 23 - 224)*(-2*o**3 - 2*o**3 + 2*o**3) + 5*o**3 + 2*o**3 - 3*o**3 in the form y*o**3 + m*o + v + c*o**2 and give y.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22838, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 29*z**2 - 158*z - 5. Let f be p(12). Let j = -1291 + f. What are the prime factors of j?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 41*w - 437600. Let d be p(0). What is d rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 196*g - 1647. Determine f(-9).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 2\/13, -0.055, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2400 and 67392.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -29. Let h(u) = -u**3 - 9*u**2 - 4*u - 20. What is the remainder when 79 is divided by h(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.744698*-0.6.\nAnswer: -0.4468188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-2)\/(-8)) - (69 - 85). Solve y = 4*c + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17507 = 457*v - 5935 - 779 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 1 + 27)*(0 - 2 - 1)*(225 - v - 225) to u*v + h and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 12134.\nAnswer: 5\/12134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -49.2. Let p = o + -1.8. Let z = p - 33. Which is the second biggest value? (a) -0.3 (b) -0.01 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 4. Let l(y) = y + 13. What is the remainder when r\/(-2) - (-41)\/2 is divided by l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31468 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/21, 0, 0.1, 2 in ascending order.\nAnswer: -4\/21, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 26, 3, -5 in descending order.\nAnswer: 26, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2973711 * 1.\nAnswer: 2973711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 32. Suppose u*b - 56 - 4 = f, 27 = b + f. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 119951 = -2*t, 52*t = 4*c + 50*t - 479810. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -370, -1466, -3292, -5848, -9134, -13150, -17896?\n\"Answer: -365*a**2 - a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 28 = -7*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32488 - 36829 + 3566 = 3131*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8981.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5814.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**6\/135 - t**5\/90 - t**4\/54 + t**3\/27 + 7*t. Factor i(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122809014 to the power of 1\/2, to the nearest integer?\nAnswer: 11082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 2155414*m + 2155416.\nAnswer: -2*(m - 1077708)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13 + l + 0 + 0*l + 0. Let d be s(6). Let q(x) = -x**2 - 6*x + 2. Calculate q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d**3 - d**2 - d. Let a = -105 + 104. What is r(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-12)*(-5)\/(-9)*(-425)\/8500\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32698 + -32698.31. Which is the third biggest value? (a) 2.4 (b) -4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 15 = -c + 3*v, -3*c = 3*v + 3. Find the first derivative of -3*a**3 + 6*a**c + 0 - 3 - a**3 wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 45. Suppose 3*g - 5*x = 4*g - 25, -5*g - 2*x + 125 = 0. Let w = g - m. Solve 8 - 3 = -w*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432123315 (base 6) in base 16?\nAnswer: 10eb27f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1642 + 147*p - 1642)*(3*p - 6*p + 4*p) + 2*p**2 + p - p - 2*p**2 - 3*p**2 + 4*p**2 - 4 + 4 + 2*p**2 + (3*p - 5*p + p)*(p - 3*p + 0*p) + p - p + 2*p**2.\nAnswer: 154*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.97, 0.3304, -1\/2 in increasing order.\nAnswer: -3.97, -1\/2, 0.3304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010273 rounded to the nearest ten thousand?\nAnswer: 3010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 558\/6*((-28)\/(-4200)*125)\/(5\/(-8)).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 44. Let t(v) = v**3 + 10*v**2 + 2*v + 3. Let m be t(-10). Does 12 divide g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/44 and 47\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/6)*k)**(-2\/57))**(-1\/30) assuming k is positive.\nAnswer: k**(7\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*x - 2890 + 693 = 2704 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/393 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 7) to base 5.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -14, -11, 8, 49, 118, 221?\n\"Answer: v**3 - v**2 - 11*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*s + 76, g + g = -s + 33. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302192617.\nAnswer: 3, 12239, 62701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325 + -324. Sort 2, 5, 17, f in descending order.\nAnswer: 17, 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 9*j**2 - j - 12. Let d be y(-6). What is the units digit of (2\/4)\/(1\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Suppose 4*w = 5*t + 136, -4*t + 211 = d*w - 2*w. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1036\/9 in 1, -29, -0.3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2*b**2 - 2*b**2)*(-102*b - 80*b - 6*b - 1 - 2*b**2).\nAnswer: -2*b**4 - 188*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 72*c + 1858. Suppose -3*z + 2*j + 171 = -339, 3*j = z - 177. Calculate the remainder when z is divided by w(-25).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.4 + -57.6. Which is the biggest value? (a) q (b) -0.02 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4\/8 - 603*o**3\/4 - 4857*o**2\/8 - 1521*o\/2 - 609\/2 = 0.\nAnswer: -2, -1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 12*d. Let z(a) = 19029*a**2 - 1. Determine z(s(f)).\nAnswer: 2740176*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*c - 507*c - 1742 = 55*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 20*b - 810 = 0. Let q = b + 148. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 734411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1. Let s = 264 - 265. Let y(j) = 2*j**3 - j**2 + 5. Let n = -6 - -1. Give n*v(k) + s*y(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 9*s - 4. Let w = 44 + -33. What is the remainder when c(7) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 - o - 27. Let i be t(6). Suppose -2*s + 5*s + 5*p - 1843 = 0, -i*s - 3*p = -1845. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/3)*y)\/((y**(3\/5)*y*y)\/y))\/(y**(1\/13)\/((y*y**(1\/3))\/y))*(y\/y**(-1\/2))**(2\/21)\/((y\/(((y\/(y**7*y))\/y)\/y))\/y**3) assuming y is positive.\nAnswer: y**(-3883\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/5 - 35797026*i\/5 + 106785589203723\/5 = 0. What is i?\nAnswer: 5966171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - r**2 - r. Suppose -2*z = -3*z - 3. Let c be j(z). Let h = 49 - c. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 10. Let z be c(-7). Suppose 9*w - z*w - 80 = 0. What are the prime factors of 25\/4 - 4\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 7*z = -12*v + 46, 40 = -4*v - 4*z for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c**4))\/c)\/(c*c**(-4\/7))*c\/(c*(c*c**(-8)*c)\/c)*c\/(c**8*c) assuming c is positive.\nAnswer: c**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (0\/(5 + 2))\/(-1). Put 7, 5, j, -7 in ascending order.\nAnswer: -7, j, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 609 times 174.836\nAnswer: 106475.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(3\/2)*59\/((-1062)\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 h, and 1 c when three letters picked without replacement from {t: 2, c: 2, f: 1, h: 4, r: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:03 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - k - 3)*(14 - 15 + 9) - 92*k - 72*k + 21*k.\nAnswer: -151*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 28189010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10707)\/(-645))\/83)\/(2*(-4)\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t + 3*t + 0 + 28*t**2 - 1 + 3*t - 7*t. Does 62 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**11*x**(2\/7)*x*x*(x**(2\/11)\/x*x)\/x*x*x**(-2\/9) assuming x is positive.\nAnswer: x**(9179\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-135)*(84\/24 - 5). Let f = -15 - -29. Let l = 12 - f. Which is the nearest to 11? (a) -0.4 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/10*(-124)\/(-93))\/(39\/7)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449052206?\nAnswer: 2, 11399, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4383*i - 32 = 4375*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(200) + (4 + sqrt(200))**2 + (-1*sqrt(200) - sqrt(200))**2 + -3 + -4.\nAnswer: 90*sqrt(2) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639533.8 months in years?\nAnswer: 219961.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104090 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 7228, -2, -7, 4 in descending order.\nAnswer: 7228, 8, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*q + 1412*q - 444*q - 454*q.\nAnswer: 47*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/6 - 61*m**2\/6 - 1111*m\/6 - 2057\/2 = 0 for m.\nAnswer: -33, -17, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17992488209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 3*c - 29259 = -85131. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x + 2. Let c(b) be the third derivative of -b**4\/6 + b**3\/6 - 5*b**2 + 32. What is 9*c(n) - 4*o(n)?\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 5. Let v be l(9). Suppose v*m = -4 + 24. Sort m, 2\/7, -3 in descending order.\nAnswer: m, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3537 divided by 39?\nAnswer: -1179\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 - 9 - 2*t**3.\nAnswer: -2*t**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 420094640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1098 (base 10) to base 15.\nAnswer: -4d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -384932181, -384932182, -384932183, -384932184, -384932185, -384932186?\n\"Answer: -c - 384932180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 5*m + 9. What is s(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62.7 or -20.99?\nAnswer: -62.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from czczzzczcccuu.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)*-1*3. Suppose -2*s + 4*x = 0, 4*x + 3 + 1 = r*s. Find n, given that 4*n**3 + n**2 - 2*n**2 - n**s - 3*n**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-346)\/14 - 1)\/(72\/(-672)). Which is smaller: 239 or k?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6006243 is divided by 3096.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + (31 - 32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)\/(n**(1\/13)*n*n))**(-39)\/(((n**1*n*n)\/n)**(1\/7)*(n**(-1\/2))**(3\/19)) assuming n is positive.\nAnswer: n**(18033\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521b23 (base 12) to base 4.\nAnswer: -10322230023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, -319, -970, -1869, -3016?\nAnswer: -4411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -23*y**6\/120 + y**5\/30 + 29*y**4\/8 + 17*y**2 - y. Find the second derivative of g(s) wrt s.\nAnswer: -138*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 - -372. Let i = j - 232. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)\/c)**(-6\/5))**(-14) assuming c is positive.\nAnswer: c**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z + 13. Let j(s) = -22*s - 27. Let y(c) = -7*d(c) - 3*j(c). Calculate y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*a - 21 = 0, -f - 3*a = -4*f. Let b = f + 1. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -74. Is u\/(-40)*(-1605)\/12 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-32))\/(1\/(-12)). Suppose -w*j = -5*j + 8. List the prime factors of 13*(4 + 12\/j).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 56 = -0*g. Let n be g\/3*(6 - 3). Let i = n - 1. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73467, -65788, -52995, -35094, -12091, 16008?\nAnswer: 49197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08763115 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {v: 3, y: 7, a: 3, h: 3, u: 4}.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -8. Let o be 1\/3 + 98\/h. Suppose -12 = -4*v + v - 2*l, 0 = o*l. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/42)\/((-7)\/(-6)) + (13752\/56)\/3.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 7. What is q(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4520346 millennia to decades.\nAnswer: 45.20346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -7*a**3\/6 - 2*a**2 + 8*a. What is the first derivative of j(z) wrt z?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165*k**4 - 79*k**2 + 32*k**3 - 32*k**3 + 147*k**4 - 1 + 78*k**4 wrt k.\nAnswer: 9360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303106196?\nAnswer: 2, 3, 7, 2216167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n. Let q(i) = 14*i**2. Give y(q(c)).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476508*v + 953823*v - 477276*v.\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10 and -21\/121?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7598696887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - u - 4 = -1, -3*j + 5*u = -19. Let r = -62 + 41. Let d be r\/j - (-2)\/(-4). Solve a - 6*a - d = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 3765*r**2 + 0 - 3764*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 1:26 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 18*p - 26 = -x, 0 = -11*x - p + 350. What is the remainder when 69 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86592, 346404, 779434, 1385682?\nAnswer: 2165148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 - 3 + 3)*(149*w + 963 + 945 - 1910) to f*w + u + g*w**2 + a*w**3 and give a.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -33359?\nAnswer: -33357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18494.6163*2\nAnswer: 36989.2326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14196 + -7558. Suppose -5*q - 25 = -0*q, -4*c = -2*q - z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 1435506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12*5\/(-5)*14181\/1956\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/128)\/((-7)\/4 - -1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 831 + -578. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15274980 and 328668?\nAnswer: 931773780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222653841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m - 2. Let y be n(6). Let b = y - 30. Suppose o = b + 15. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -31. Suppose -b*u + 18 = 6. Sort -3, 2, u in descending order.\nAnswer: u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069658 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -567, -540, -497, -438, -363?\n\"Answer: 8*g**2 + 3*g - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1057849415 by -211569883.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 1.13. Suppose -11*q + p = -12*q, -15 = -5*p. Which is the nearest to y? (a) 2 (b) 6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255372753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqjjjqjqjqqq?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8567\/15686 + -1\/1426. Determine s, given that -7\/11*s**2 - 1\/11*s - j*s**3 + 0 = 0.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 6*a - 9. Let u be d(-6). Suppose -l + 0*l = 0. Suppose -g - 38 = 3*j - 7*j, 4*j + 5*g - 26 = l. What is the highest common factor of j and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15547501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -235, -730, -1471, -2458?\nAnswer: -3691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8983136 litres?\nAnswer: 898.3136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1946\/35 - ((-12)\/5 - -2). Let m be -3 - ((1 - -5230000) + u\/(-14)). What is m rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218651279 divided by 5557?\nAnswer: -39347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2592)*-3 + sqrt(2592))\/(sqrt(45)\/(-6*sqrt(5)*1))*1.\nAnswer: -504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*j + 273*j - 16 - 537*j - 2*j**3 - 49 - 5 in the form n*j**2 + f*j**3 + s + q*j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1596 - -82.0596. Let p = j - -0.1. Let t = -79 + p. Put 2, 5, t, 1\/2 in descending order.\nAnswer: 5, t, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, y: 7}. What is prob of sequence ccyc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 116 + 2*i + 86 - 310 + 108.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**3\/j))**(-23) assuming j is positive.\nAnswer: j**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 + (-546)\/65 - 867\/(-5) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*o + 11 = 7*o, -o + 23 = 5*w. Solve 15*u**4 + 3*u**3 - 19*u**w + 5*u**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 702\/77 (b) -0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.237504 rounded to 2 decimal places?\nAnswer: 69.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = 5*c + 10, -3*c - 5*p = 12. What is the least common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277713 is divided by 4622?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 = 5*p, -p + 4*v = -2*p + 14. Let r be -3*-1*p\/12. Suppose 4 = -j - 0*j. Put r, j, -1 in decreasing order.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k - 193. Calculate the least common multiple of b(-23) and 714.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173890 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153, -201, -249, -297, -345?\n\"Answer: -48*j - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4 - 24. Let d be (-910)\/(-45) + u\/(-18). Let c = d - 12. What is the remainder when 12 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-9)\/(-1))\/108)\/((-6)\/(-320)). Which is smaller: 5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*q + 2, 2*q - q - 2 = -2*r. Let v(t) = -2*t - 2*t - 9 + r*t. Let x be v(-6). Solve 4*y - a + x = 0, y - 4*y - 5*a = -15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 5 in descending order.\nAnswer: 5, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54.2 + 54. Let u = -6 + 8. Suppose u*n - 2*d = 0, -2*n + 6*n + 3*d = -28. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54569 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/219, -0.08, -2?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -723662*f**4 + 611361*f**2 - f wrt f?\nAnswer: -17367888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54044552 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7051 - -7056. Put p, 3, 2, 741 in ascending order.\nAnswer: 2, 3, p, 741","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -94*t**3 - t. Let a be q(-1). Suppose 0 = -5*y + 5*x - 130, 3*x = 5*y + 33 + a. What are the prime factors of y\/(-2 - -3 - 4\/3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000 (base 2) in base 7?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214 + -110. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7452*n**2 + 11*n + 321. Let r(c) = -3727*c**2 + 5*c + 161. Let u(v) = -9*r(v) + 4*w(v). What is the second derivative of u(k) wrt k?\nAnswer: 7470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 55. What is the lowest common multiple of 9 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 (base 3) in base 4?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 12 + 9)*(3*t**2 - 4*t**2 + 3*t**2)*(-5*t + 5*t - 2*t) to the form l*t**2 + d + i*t**3 + s*t and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**12)\/j*j*j*j))\/j)**(-2) assuming j is positive.\nAnswer: j**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 148 = -p + 2*p, 2*x + 4*p = 56. Let m be (51 - (-5)\/(-1)) + 4. Let q = m - x. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a day in minutes?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-21) - (-1 - -2)*5. What is the least common multiple of 16 and 8\/(m + 2 + -3)*-4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 0*p**4 - 2*p**4 + 94*p**3 + 8*p**2 - 2*p - 10 - 93*p**3 to the form r*p + k*p**2 + l*p**4 + h + m*p**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by 1408.\nAnswer: 59\/1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175 or -2.66821?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 16 = 0. Find the second derivative of y**5 + 7*y + y**5 - p*y wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.1 + 0.0035.\nAnswer: -62.0965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316251897?\nAnswer: 101, 883, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64459511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 18. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3*(5 - -1). Suppose x = -n - 3, 0*n = m*n + 10. Let r be 0\/(0 + 4\/x). Solve r*z = -z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -10*h**2 + 21 - 15*h + 5*h**3 - 21 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, 13\/2, 2.\nAnswer: -1, -2\/7, 2, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20101202222 (base 3) to base 13.\nAnswer: 4543a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-476)\/42 - -14) + -4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079013340?\nAnswer: 2, 5, 337, 160091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 + v - 1. Suppose -3*z - 2 = -5*o, 3*z + 0*o = -2*o + 5. Let n be x(z). What is the tens digit of 128\/n - (-7)\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Let a be 1 - (2 + 3 + 1). Let p = 0.35918 - 0.15918. What is the nearest to 1 in l, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -112 - -1ba23?\nAnswer: 1b911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2567 in 78, 0, 0.5, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 5*b + 2. Let a be j(4). Let u be (1\/2)\/(a\/(-28)). Let w = 23 - u. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(12\/15)\/(20\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*l - 2 - 6, -l + 5*s - 3 = 0. Suppose 4 = -4*i, -2*v + 11 = l*i - 1. Suppose 0 = 3*t + 1 - v. Solve 2*g + 1 = -t*a + 3, 2*g = 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 165.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/400*5)\/(507\/(-7098))?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110101 + -2101?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:14 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220993?\nAnswer: 223, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4998701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001235743 to 5 decimal places.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 1 = -4*o + 7, -4*o + 2 = 2*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 75 and 83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075555437 to 4 decimal places.\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 5*g - 20, a - g + 2 = -2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/3546 and 43\/63.\nAnswer: 24822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 884. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 1.95. Which is the closest to -2? (a) x (b) 5 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let d(m) = -653*m**2. What is y(d(g))?\nAnswer: -1306*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*x - 2*x. Is (-9)\/6*2046\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 238353.\nAnswer: 2\/238353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027222 is divided by 645?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + (2 + -4 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3648996.\nAnswer: 2, 3, 13, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z - 3. Put 2, z, -4 in decreasing order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 4651 - 1382. Let i = 1267 + n. What is the highest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 7*s + 6. Let f be h(6). Suppose 4*z - 26 - 11 = -5*w, f = z + 5*w - 28. Let c = 6 - z. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 43257 = -3*n, 2*n - 28838 = -3*f. List the prime factors of n.\nAnswer: 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10089, -10266, -10455, -10662, -10893, -11154?\n\"Answer: -d**3 - 170*d - 9918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 + (-4 - -2))\/(-1). Suppose 2*w - 27 = 5*w. Let y = w - u. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/4, 11, -2\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**3 + i - 1. Suppose w - 2 = -0. Suppose 2 = w*u - 0*u. Give g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-12)\/(-9)) + 35. Let j = r + -17. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -127, -57, 143, 473?\n\"Answer: 65*p**2 - 125*p - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.759857 + 0.76. Round d to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, 4, 20, 0 in increasing order.\nAnswer: -4, 0, 4, 20, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 8:21 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnodyzmnnydo. Give prob of picking 1 y and 1 z.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 4*l)*(135*l + 158*l + 122*l)*(0*l - 2*l - 2 + l)*(-5*l + l + 5*l).\nAnswer: 830*l**4 + 1660*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*t + 9, -3*y - 1 = 5*t - 0*t. Suppose v - y*v = 0. Solve v = 3*k - a - 13, 3 = k + 4*k + 3*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 269\/576?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -101*c**2 - 12455*c - 74716. Calculate f(-6).\nAnswer: -3622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 10*f - 6 + 174*f to a*f + r and give a.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6971 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 377 - 566. Let x be (-20)\/(-130) - q\/39. Let c(i) = 2*i**3 - 8*i**2 - 9*i - 1. Let a be c(x). Solve a*h + 5*g = 26, -8*h + 3*g + 14 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*a + 5193 - 5193 as h + s*a and give s.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 + -92. Let m = 7\/75 - 712\/75. What is the common denominator of m and l\/9*(-12)\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-140) - (-18)\/(-30). Let w = 1\/35 - s. What is h in 1\/2 - 1\/2*h**2 + w*h - 1\/2*h**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1817 by 23.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = d + v, -5*d = -8*v + 3486 - 3522 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/6 + 4*g**2 + 12*g. Calculate the least common multiple of n(4) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(-6)\/(-36)*16\/(-6). Let f = 21875 - 612393\/28. Find the common denominator of f and 421\/72 - -1 - c\/(-18).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.016 - -8.7. Round n to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -9, -3, 5, 19\/6 in decreasing order.\nAnswer: 5, 4, 19\/6, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10856686?\nAnswer: 2, 5428343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002346 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 11. Let v be y(-14). Let q be (4 - 1)\/(v - 27\/12). Suppose -105 = -2*f + 5*w, -q*f + 216 = -2*w - 2*w. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4288952?\nAnswer: 2, 97, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s**1))\/s))**(13\/4)*(s**(-2\/11)*s)\/((s\/s**(-2\/9))\/s) assuming s is positive.\nAnswer: s**(4097\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5 + (144137\/2360 - 61)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 428 + -2?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.75 + -20. Let a = -0.45 - j. Put -9, -1\/3, a in decreasing order.\nAnswer: a, -1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 261*x**2 - 2 - 1829*x**2)*(-1 - 1 + 3) + (2*x**2 + 3*x - 3*x)*(1 + 7 + 0)*(1 + 1 - 4) to v + b*x**2 + y*x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44\/5 (b) 250 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f - 1. Let q(g) = 8*g**2 + 17*g - 4. Let l(d) = -6*b(d) - q(d). Determine l(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31006316 and 107078?\nAnswer: 1147233692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3400 (base 10) to base 2.\nAnswer: -110101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145905550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*v + 2*u = -464*v + 26, -38*u + 558 = 43*u - 19*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 106*b - 108.\nAnswer: 2*(b - 54)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972 = 16*p - 10*p. Let b = 179 + p. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4 and 64\/9129.\nAnswer: 36516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + (-5 - -5). Let o(r) = r - 32 - 4*r + 19 + 4*r**2 + 16. Let p(s) = -13*s**2 + 10*s - 10. What is d*p(a) - 7*o(a)?\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*t + 10416 - 8942 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.2468 + -6\nAnswer: -8.2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -11. Let b(f) = -9*f**2 - 5*f + 8*f**2 + 2*f - 2*f. Let c be b(-4). Sort c, 0, j in ascending order.\nAnswer: j, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**7\/84 - v**6\/60 - v**5\/20 + v**4\/12 + v**3\/12 - v**2\/4 + 6*v + 11. Let r(n) be the first derivative of b(n). Factor r(z).\nAnswer: (z - 1)**3*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-424)\/6*60\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/10 (c) -18\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -254*i**3 + 2*i**2 + 632*i - 1274. Give a(2).\nAnswer: -2034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/13)*(v*v*v\/(v\/v**(-2\/19)*v)*v*v)\/v*((v\/((v\/(v\/(v*v*v*v**(-4)\/v))*v*v)\/v)*v)\/v)\/v**(5\/3))**(-21) assuming v is positive.\nAnswer: v**(-17542\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 716388609, 1432777216, 2149165823, 2865554430, 3581943037, 4298331644?\n\"Answer: 716388607*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1077939 divided by -359313\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.2 - -50.3066. What is the third biggest value in n, -3, -4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4080\/1428)\/(150\/21).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 448435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 384 + 5*t + t - 19*t. Let k be x(31). Calculate the highest common divisor of k and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541544 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371*t**5 + 36*t**4 + 274*t**3 - 10*t**2 - 2*t - 128721 wrt t?\nAnswer: 22260*t**2 + 864*t + 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3158*g - 3171*g + 103246 = 0. Does 43 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(272) - sqrt(17) - (sqrt(119)\/sqrt(7) + -5))*5.\nAnswer: 5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - q + 4304 = 0. Let d = 994 - q. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**9\/60480 + g**8\/5040 + g**7\/1680 - g**6\/120 + g**5\/12 - 18*g**2. Let h(m) be the third derivative of x(m). What is h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/109 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2741\/2 - -1369. Which is the fourth smallest value? (a) 14 (b) 5 (c) -8 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 770 = 3*q. Suppose 13*a - q = 6*a. Solve -4*h + 2*h + 1 = w, -a = 5*h + 5*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/7 - 25692*l**2\/7 + 51396*l\/7 = 0. Calculate l.\nAnswer: -8566, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4187 - -4194. What is the third biggest value in -0.2, 5.6, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (5 - (5 + 6)) + (8 - (-12 + 50))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c**3 - 12639*c**2 + 4270527*c - 1422105 = 0 for c.\nAnswer: 1\/3, 565, 839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*x - 2. Let g be 3*(x\/9 + 2). Solve -5*q - g - 23 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33420, -33180, -32940, -32700, -32460, -32220?\n\"Answer: 240*l - 33660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {v: 4, l: 2, p: 10}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:36 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -337.7 times -1532?\nAnswer: 517356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6969 is divided by 93.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -368, -557, -848, -1247, -1760?\n\"Answer: -a**3 - 45*a**2 - 47*a - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 6197*r - 1. Let t(w) = 12*w. What is p(t(g))?\nAnswer: 288*g**2 - 74364*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 6. Let y be f(-4). Is 3 a factor of (6 + -5)\/(y\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a minute in seconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*d - 56*d + 52*d - 54*d as u + q*d and give q.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873812.\nAnswer: 2, 218453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 9. Calculate z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 + 6799591*t - 13598743*t + 6799152*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*l - r, -3*l - 4 + 328 = 51*r - 387 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (4 - 2) + 1. Let c(y) = -3*y + 12*y**2 + 4*y**2 + 11*y**2 - 31*y**2. Let r(u) = -u**2 - u. Determine v*c(q) - 3*r(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1531 - 11242*u**3 - 1531.\nAnswer: -11242*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-5))\/((-4)\/(-20)). Let j = 2.2 - -0.8. Let m = 197.7 - 196.7. Which is the third smallest value? (a) j (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0956539*0.4\nAnswer: -0.03826156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -86*c - 520. Let t be d(-6). Is t >= -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6874968 divided by -1718742\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/8808 and 73\/10680?\nAnswer: 3919560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyoohyknonoon. Give prob of picking 1 h and 1 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 36 = -4*y, 5*h - 4*h - 28 = 82*y + 98*y - 184*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 1 + 5. Suppose 0 = q - 3*y - 27, 4*y - 114 = -3*q + 2*y. Let w = q + -42. Is w greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(4*q - 2*q - 3*q)*(-3 + 2 - 3)*(-2 + 1 - 1) + (58 + 9 - 27)*(-3*q + q + 4*q).\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -353, -364, -387, -428, -493, -588?\n\"Answer: -g**3 - 4*g - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7 and ((-1)\/3)\/((-20)\/(-1220))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3545*o - 170. Let h(w) = 709*w + 31. Determine -11*h(z) - 2*v(z).\nAnswer: -709*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 729*k + 4 - 227*k - 1 + 1324*k in the form b + g*k and give g.\nAnswer: 1826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 5, z: 4, d: 1}. Give prob of picking 2 l, 1 z, and 1 d.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*o**4 - 27*o**3 + 2300*o**2 - 1.\nAnswer: -504*o - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 15*o**2 - 24*o + 18. Let w be s(12). What is the highest common divisor of w and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 53058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f + 15 = 0. Let r be (-1 - f\/5) + 1342\/(-385). Let m = r + 23\/5. What is the smallest value in 2, m, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 66. Let s = 67 - a. Solve 3*y + 9 = s, 0*b = b + 3*y + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/3 + -5 + (-1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 2)\/((-1 - 8)\/1 - (1660 - 1667)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 243815 divided by 11\nAnswer: 22165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (4 + 1 + -4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*p - 17*p - 42*p + (-2*p - 3 + 3)*(-3 + 2 + 3).\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -88. Let s = -7 + 3. Let k = 931\/10 - 93. Which is the closest to 1\/5? (a) k (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 64*j**3 + j**2 - 14*j + 13. Calculate the smallest common multiple of a(1) and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17503 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 32. Let m be x(30). Suppose 0 = -i - k + 2, -m*i - k - 2 = 4*k. What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0 + 1\/3*a**3 + a + 0*a**2. Let t(d) be the third derivative of d**4\/12 - d**2. Calculate t(n(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 22*d - 57*d + 18*d + 17*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523175?\nAnswer: 5, 17, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 9 + a - 4*a**4 + 3*a + 2*a**4 to k*a**3 + z*a**4 + m + t*a + u*a**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170769 = 21*j - 836910. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7379.882km?\nAnswer: 7379882000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -194364.72 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 538.06 + -467. Let f = 69 - a. What is f rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/135773359 and -12\/11.\nAnswer: 1493506949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 1.32. Let v = k + -0.22. What is v rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19612, -39228, -58844?\n\"Answer: -19616*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -74.\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163541.\nAnswer: 7, 61, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/5, -0.2, -1, -251, 0.3, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 1, 0.02, 4\/9, 2773?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.079? (a) -4\/7 (b) 3\/5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**6 - 2*y**6 + 5*y**2 - 2*y**6 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57, -122, -197, -288, -401, -542, -717, -932?\n\"Answer: -c**3 + c**2 - 61*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -5 - -11 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 1\/3*i**3 + i + 3*i**2 + 4. Let s(f) = -4*f + 12. Let l be s(4). What is g(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 642*v + 252. Let y be u(0). What is the greatest common factor of y and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*j**3 - j + 0*j**3 - 4*j**3 + 2*j**4 - j**2 to u*j**2 + h + p*j**4 + n*j + m*j**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (24\/(-14) - -1). Let b = 0.08 + -0.58. Sort 2\/5, b, h.\nAnswer: b, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-45)*1\/(-1))\/(-3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6766538891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6426.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - 615\/(-21). Suppose 125*w - 112*w - 43 + 472 = 0. Let m = w + u. Sort -1, -48, m.\nAnswer: -48, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 446\/323 + -24\/19. Let r = -22529\/110 - -1022\/5. Let y = 125\/198 + r. What is the closest to 0 in g, y, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-32)\/(-40)))\/(12\/4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 43*x. Let g(j) = -500*j + 14. Determine m(g(t)).\nAnswer: -21500*t + 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 794, 3183, 7164, 12737, 19902, 28659, 39008?\n\"Answer: 796*x**2 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111 + -11?\nAnswer: 10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 g when three letters picked without replacement from {k: 1, o: 3, f: 3, t: 8, g: 4}.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 405*l**3*y**2 + 6*l**3*y - 2*l**3 + 379*l**2*y**3 - 162*l**2*y - y**3 + 111 wrt y.\nAnswer: 810*l**3 + 2274*l**2*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -420*v + 418*v. Let n(x) = -15*x - 109. What is the remainder when 96 is divided by n(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2754*n**3*p + 10*n**3 - 2*n**2*p + 46*n**2 - 641*n*p**2 + 2 wrt p.\nAnswer: -2754*n**3 - 2*n**2 - 1282*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 723298039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 141383 divided by -11\nAnswer: -12853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-1)\/44)\/(56\/((-20944)\/102))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*n - 10107 = -7575 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.243 to 1 dp.\nAnswer: 249.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feffyeyfcccfccze. What is prob of picking 2 f, 1 y, and 1 c?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 13*c**2 + 13*c - 27. Give m(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 + -249. List the prime factors of (5976\/h)\/(6\/(-16)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23268*j**3 + j - 23267*j**3 + 332 + 87*j**2 + 116*j**2 wrt j.\nAnswer: 6*j + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t - 22. Let y be x(3). Suppose -19*q - 13600 = -y*q. Round q to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5. Let n(d) = d + 2. Let g(a) = 3*l(a) - 2*n(a). Determine g(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 28. Let g be ((-27)\/(-3))\/q*(-376)\/3. Suppose 0 = 12*n - 548 - g. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**36*v**(-4\/3)\/v*v**(1\/15)*(v*v*(v\/v**(-1\/21))\/v)\/v assuming v is positive.\nAnswer: v**(3652\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:42 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from tcttctctttt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(200) + 4 + sqrt(200) + 2 - (1 + sqrt(200) + -5)) + 4)**2.\nAnswer: 360*sqrt(2) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1274 and 532.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -23, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**3 + 13*y**2 - 7*y - 10. Let x(s) = 7*s**3 - 9*s**2 + 5*s + 7. Calculate 5*d(q) + 7*x(q).\nAnswer: -q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 17. Let t be -3 + 8 + -3 + w. Solve 0 = 2*u + 4 - t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005962 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 58, -143, -650, -1565, -2990?\nAnswer: -5027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.955 - 0.045. What is the closest to v in 3, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*t + 24*t + 14*t**2 + 22*t in the form n*t + a*t**2 + x and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -411.9, 0.2, -0.2, 1\/7, -10, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**12)))\/p**(-24)*(p*p*(p*p**(1\/5))\/p*p)**(-2\/45) assuming p is positive.\nAnswer: p**(8293\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 13*t - 11*t + 4 = 11, 4*v - 16 = t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let g(x) be the second derivative of -25*x**4\/12 - 4*x**3\/3 + x**2\/2 - 4*x. Let o(u) = -2*g(u) - 14*m(u). Does 25 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 2*d + 3. Let b be a(3). Put 9, b, 4 in descending order.\nAnswer: 9, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209256724 to the nearest integer?\nAnswer: 14466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/6)\/((-1)\/26). Let r = -9 + j. Suppose -2*x = -6 - 12. Calculate the remainder when r is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1934 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -232769, -8, 1\/4, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.063 * 9.6\nAnswer: -0.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*z - 56, -4*z - 4*d = -0*z + 32. Suppose -3 - 17 = 2*j. Let y = j - z. What is the lowest common multiple of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3070075 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -613059 - -4?\nAnswer: -613055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14*z**4 - 11*z**3 - 52*z**2 - 3*z + 442. Let c(y) = 37*y**4 - 34*y**3 - 158*y**2 - 8*y + 1327. Let g(x) = 3*c(x) - 8*k(x). Differentiate g(l) wrt l.\nAnswer: -4*l**3 - 42*l**2 - 116*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1, 1\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, 1\/63, -1?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.4 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**6\/10 - 19*q**5\/10 - q**4\/3 - 3*q**3\/2 - 631*q. Find the third derivative of s(d) wrt d.\nAnswer: 72*d - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281 - -303. Let y = 9 + -17. Let o = y + x. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2\/5 (b) 1 (c) -1.2 (d) -0.065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.902*1360\nAnswer: -1226.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -604253747*y**5 + 61673426*y**2 wrt y?\nAnswer: -36255224820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (3 + 0)) + (-9 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1016 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 221, -4, -287\/5 in decreasing order.\nAnswer: 221, -4, -45, -287\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 3*h**2 + 6*h + 1. Let y be m(-5). Let l = 34.5 - 35. Let t = -30\/223 - -536\/669. What is the third smallest value in t, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*a**2*r + 6352448*a**2 + 362*a*r + 3*a - 189*r with respect to r.\nAnswer: -124*a**2 + 362*a - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426ac (base 15) to base 11.\nAnswer: -134392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, and 1 f when three letters picked without replacement from {i: 8, n: 4, f: 8}?\nAnswer: 64\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 + 270*u**2 - 234*u + 3553. Determine l(-91).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 5, -2, 0.6, 971?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:26 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 4*y + 7. Let a be x(-5). Suppose -a*i = 23 + 5. Let c = 70 + i. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889547479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -2)*(1 + -2). Suppose 83 = 3*o - z*c, -o + 46 = o - c. Suppose -o = -3*a - 0*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.42.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in -4, 3, -0.19, 0.3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 8202*j**2 - 65569*j**2 - 2*j.\nAnswer: -57367*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 49*f**2 + 99*f - 261. Calculate n(47).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 - 173 = 8*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(-10\/7)\/(w*w\/(w*w**0\/w))**11*(w**(2\/27)*(w*w*w*w**(-3))\/w*w)**(-4\/7) assuming w is positive.\nAnswer: w**(-1171\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**3\/3 - j**2\/2 + 8*j + 2. What is the units digit of h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002919 to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6 - (-5 - -23) - -9) + -5 + -66.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 - 5*f - 3. Let n be b(6). What is the remainder when (1 + n\/(-4))*4 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 5*q - 2*q)*(6*q - 3*q - 2*q)*(-280*q - 707*q - 483*q - 313*q) to the form g*q**2 + f*q**3 + c*q + a and give f.\nAnswer: -3566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, -28, -89, -180?\n\"Answer: -15*p**2 + 14*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 - -19.17. Let q = o - 19.023. What is q rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 9 = -x + 2*l, 15 = 3*x - 3*l. Let z = x - -1. Suppose -3 = -z*o + 21. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 162 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 + -5) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/179))**(-2\/5) assuming y is positive.\nAnswer: y**(-362\/895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 7. Let r be d(5). Suppose 3*a + 4*w = -w + 384, r*a - 256 = 2*w. Suppose -a = -4*p - 0*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 40, 87.\nAnswer: -0.2, 40, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.16769 decades in millennia?\nAnswer: 0.4316769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = -6*p. Let i be 5*3*p\/3. Let t(u) = -11 + 0*u - i*u + 8. Calculate t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 29*s - 87*s - 75*s to b + c*s and give c.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.358 to one dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 12*m**2 + 14*m + 27. Let f be j(-11). Let i be f\/(-4)*(-130)\/39. Is i smaller than -46\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31446 is divided by 7860.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = 4*h + 6, -3*h = -3*f - 54. Let w = f - -24. Solve 0 = -5*s - 4*z - 19, -2*s + w = -5*s - 2*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2006? (a) -2\/11 (b) 4\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**3 + 36*o**3 - 17*o**3)*(0*o - o + 0*o)*(-3 - 1 + 5).\nAnswer: -31*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*7)\/((-122682)\/(-12192))?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-12) - (-8395)\/(-50370).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063824521 to 6 dps.\nAnswer: -0.006382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*v - 44*v**2 - 10 - 161*v + 10 to b*v + f*v**2 + m and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506 (base 10) to base 16.\nAnswer: 1fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -69.997. What is q rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 + (-10)\/3 - (-5414)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 9*f + 9. Let b be z(4). Let h be (-8)\/(((-4)\/10)\/(1\/b)). Sort h, -21, -4.\nAnswer: -21, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -35, 84, 293, 622, 1101, 1760?\nAnswer: 2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2132946?\nAnswer: 1\/2132946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1936\nAnswer: -5\/1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212.3 + -211. Which is the closest to 0.1? (a) 4\/9 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 130\/72 + -11*14\/(-693) and -91\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose p = x - 2*x + 41. Suppose -4*n - x = -k - 2*k, -k + 2*n + 15 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**1\/f*f*f*f*f*f**(3\/5)*f*(f*(f\/(f\/((f**(-2\/13)\/f*f)\/f)))\/f)**(-1\/37) assuming f is positive.\nAnswer: f**(15948\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12183 + 14405. List the prime factors of g.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*9\/(-99))\/(366\/8)*15\/(-20).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37159645735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -610*j**4 + 55*j**3 + 477*j + 112252326 wrt j.\nAnswer: -2440*j**3 + 165*j**2 + 477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(325))*1.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 230.673109 and -0.6?\nAnswer: 231.273109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73074.65349 rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4*l**2 + 5*l + 2. Suppose -4*n - 39 = -9*o + 6*o, 4*o + 5*n - 21 = 0. Calculate the lowest common multiple of o and y(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 2*h - 2*h)*(3 + 2 - 3)*(-36 - 18 - 16) in the form d*h + g and give d.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*i + 0*i + 16 = 0, 4*i + 29 = 3*j. Suppose -3*g - 5 = -4*q, -2*q + 4*g = -1 - 9. Let r = j + q. Solve -3*n = r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 4*r**2 + 7*r + 21. List the prime factors of b(-8).\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w. Suppose -4*z = -3*z - 2. Let i(b) = -z*b**2 + 566*b - 566*b. Give m(i(u)).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 552108762 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -8 (b) -3 (c) -57 (d) -4 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*a + 42933 - 42866, -2*p - 5*a = 51 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/6, 4, -44729\/7 in descending order.\nAnswer: 4, -11\/6, -44729\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206499*q*z**2 + 2906*q*z + 4*q + 2 wrt z.\nAnswer: -412998*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/18*26)\/((-1)\/15). Round y to 0 decimal places.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7132 - 2.7132. Is i bigger than -991\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:24 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence src when three letters picked without replacement from sjcdldsjdrlrdsj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 + 49*s + 13. Let q be z(10). Solve 0 = -3*j - q*a - 2*a + 10, 40 = -3*j + 5*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1876 = 5*f + 20*f - 238 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.087 and -307.2?\nAnswer: 26.7264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1777879, 7111487, 16000825, 28445887, 44446667, 64003159, 87115357, 113783255?\n\"Answer: -r**3 + 1777871*r**2 + 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 8*y - 12. Let u be l(5). Suppose t - 47 = -b + 26, -5*t + u*b = -405. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020010 (base 3) to base 8.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:41 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 34 = 3*h, -21378*h + 3*k = -21380*h - 32 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.98348 + 0.8348. Let m = 0.15 + u. Round m to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnvjjslsvcnn. Give prob of picking 2 n, 1 s, and 1 l.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 69 - 147 - 11*f + 58 + 45. Let a(t) = 17*t - 39. Let h(l) = -5*a(l) - 8*u(l). Let y(z) = -2*z**2. Calculate h(y(d)).\nAnswer: -6*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 851387, 851423, 851461, 851501, 851543, 851587, 851633?\nAnswer: 851681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a factor of 1531366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Sort z, -2, -3 in ascending order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*w + 32 - 4, 2*m - 20 = -3*w. Solve 0 + 4 = -m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/11682 and -83\/6270?\nAnswer: 1109790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*l = 24, -2*u = -0*u - 3*l - 12. Let i(d) = -d - 2. Let y(f) = 2*f + 4. Let x(g) = -5*i(g) - 2*y(g). List the prime factors of x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1021584 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 33. Suppose -6*c + 46 + 14 = 0. Calculate the greatest common factor of c and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.4 + -18.19. Let m = 0.21 - c. Let l = -14.00000056 - m. Round l to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + -21 + 7 + (-9 - 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4 + 0*t**2 - 1\/3*t**3 + 0*t. Let x(i) = i**2. Give a(x(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*k. Suppose 2*b + 10 = 6*b + s, -k = -3*b - 4*s. Suppose -4*t = 2*u - 30, 3*u + 5 = -4. Solve -t = -m - 4*j, -6 = -j - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7173 is divided by 276.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q + 66. Let t(m) = m**2 - 12*m + 7. Let n be t(11). What is the remainder when q is divided by n\/2 + (13 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(180) + -2 + -2*sqrt(5)*2) + ((sqrt(500)*1)**2 - sqrt(240)\/(sqrt(60)\/sqrt(5))))*4.\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 577960367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -3\/4 (c) 16.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -53*f + 111*f - 1 - 62*f. Determine i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = v + 3*c, 271*c - 531*c + 264*c = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-21))\/(4\/300). Let j be (-310)\/(-6) + (-3)\/(-9). Let z = i - j. What is the remainder when z is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**6\/2 - 57*u**5\/5 + 297*u**4\/4 - 193*u**3 + 240*u**2 - 144*u - 2285. Factor y(i).\nAnswer: 3*(i - 12)*(i - 4)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86484b - -2?\nAnswer: 86484d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1075 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*d*f - 2*a**2*d*n - a**2*f - 3*a*d*f - 4*a*d + 148*d - 92*f*n + n with respect to f.\nAnswer: -a**2*d - a**2 - 3*a*d - 92*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**2 + 141*z + 90. What is j(-16)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = t - 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38086650*q**4 - 778027*q + 62 wrt q?\nAnswer: -457039800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/5 (b) -0.3 (c) -2242 (d) 4\/3 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78716 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -200?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.7 - -8.4. What is the closest to z in -2, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13110228 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 195 * -3.8\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100226593373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + 11\/3. Let r be (-28)\/(-20) - h\/10. Let l be (r - 5) + (4004 - 0). Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 2*g**2 - 86*g - 1. Let q be p(-10). Suppose 0 = -o + 6*o - 460. Let k = o - q. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - (630 + -647).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfffrrfrrrrrr. What is prob of sequence rfvf?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 1)\/((-3)\/2). Let r = -8264 + 247891\/30. Let a = -3\/10 - r. What is the third smallest value in d, -7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -115. Suppose 3*o + 4*z = 22 + 29, 2*o = -5*z + 34. Suppose d + o = p. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -233.44 in decreasing order.\nAnswer: 3, 0.1, -233.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.62 - -8.28. Let i = -8.8999982 + a. What is i rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 350416?\nAnswer: 350420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*j - 7 - 38. Suppose 0 = -11*b - j*b + 476. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66591396 < -66591399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-1)\/20). Let p = -1 + h. Solve 0 = 2*w - 7*w - 10, g + 4*w = -p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214932775 by 64525.\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 0*k**5 + 4*k**5 + (k + k + 4*k)*(-5*k**3 + 5*k**3 + k**4) + (-3*k**5 - k**5 + 2*k**5)*(-3 - 1 + 3).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 1866564469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 506455 divided by 4\nAnswer: 506455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrjz when four letters picked without replacement from {x: 2, r: 1, j: 1, i: 1, z: 1, k: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782339638.\nAnswer: 2, 7, 11, 24560647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 - d - 5. Let n be g(0). Let t(o) = -31*o + 895. Let j be t(29). Sort 5, n, 1, j in decreasing order.\nAnswer: 5, 1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*q - 180, 5*q - 6*y = -11*y + 120. What is the least common multiple of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*q - 10, -4*s + 3*q - 9 = -s. Suppose -11 = -5*u + 4. What is the second derivative of 50*g**3 + 3*g + s*g**5 - 14*g**5 - 50*g**u wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*p**5 - 4638*p**4 + 21250*p**3 + 9780*p**2 - 102416*p + 2688 = 0. Calculate p.\nAnswer: -2, 1\/38, 3, 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 1\/10 (c) -3\/4 (d) 0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25665 is divided by 313.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12281 (b) 2\/11 (c) -1\/5 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1560294kg?\nAnswer: 156.0294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1040013 and 640008?\nAnswer: 8320104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4511*0.1.\nAnswer: 451.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/6, 10, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**8\/16800 - l**7\/420 - 11*l**6\/600 - 17*l**5\/300 + 127*l**4\/12 - l. Let t(r) be the third derivative of z(r). Factor t(g).\nAnswer: 2*(g - 17)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2)\/(-5)*20. Let v be m\/12*6\/4. Suppose 3 = -2*i + 5, v*b = 4*i + 30. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*o**3 + 85923*o - 5245954.\nAnswer: 33*o**2 + 85923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.83*507.\nAnswer: 1434.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4410168 and 1575060?\nAnswer: 22050840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -15750 (b) 0.6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*a**2 + 3153*a**3 - 263*a**2.\nAnswer: 3153*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2\/2 - 41394*f + 1077258 = 0. What is f?\nAnswer: -27622, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1100) + -5)*-1 - -6*(-3*sqrt(1100) - sqrt(1100))))**2.\nAnswer: -1500*sqrt(11) + 687509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010000110110 (base 2) to base 11.\nAnswer: -26563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137220 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 14*r**2 - 98*r + 66. Determine s(-19).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2797 in -4, 0.2, 58?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*x + 9 - 1 = 0, -3*y + 5*x = 20. Suppose 9*g - 2*g - 28 = y. Suppose n = 4*n - 27. Solve 0 = g*f - n*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3646 + 23*y + 3646)*(-4 + 0 + 4 + 26*y).\nAnswer: 598*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2*366*(546\/(-117) + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112212 - -10?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 5. Let w be u(-5). Suppose 0 = -w*h - 2*h + 2*c + 8, -2*h - 5*c + 43 = 0. What is h rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97413 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose 6 = -5*c + 2*q + 2*q, 2 = -3*c + 4*q. Let b be (1\/c)\/(((-5)\/(-6))\/(-5)). Solve r*i = i + b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjsnsncsecsucuscsn. Give prob of picking 2 n, 1 u, and 1 s.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 7*t**3 - 22*t**3 + 8*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 21.2. Let h = 3 + x. What is the nearest to -1 in 3, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:30 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-216))\/(14\/6 + -4). Let q(p) be the third derivative of -1\/9*p**3 - z*p**6 + 1\/18*p**4 + 2*p**2 + 0 + 0*p + 1\/90*p**5. Solve q(x) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*w = -45. Let l be 251 - (2 - w)*1. What are the prime factors of 3*(l\/6 + 1 + 3)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4262825 by -608975.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5727, 22919, 51573, 91689, 143267?\nAnswer: 206307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 2*z. Give y(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*b**4 + 795*b**3 + 38*b**2 + 16*b - 43 wrt b.\nAnswer: 1560*b + 4770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -71866 (base 9) to base 8\nAnswer: -134404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 313*n - 886. What is the units digit of m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11649 or 1269835\/109?\nAnswer: 11649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2606 - -2610. What is the smallest value in -0.4, 0, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**3 - 2*u**2 - u. Suppose 4*d + 65 = 25. Let p be (-2)\/6 + d\/15. What are the prime factors of i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 278.12475 months?\nAnswer: 23.1770625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 4*j - 11*x - 1, -5*j + 17 = 4*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/7)\/a**(-2\/17))**(-31\/5) assuming a is positive.\nAnswer: a**(-961\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.8 + 28. Let u = -9 - g. Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -151 - -262. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57571\/9 + 6397. What is the nearest to -13 in 3, -4, -1\/4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6)*(-6)\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*r - 13 = 2*r, -2*h = -4*r + 22. Let c = 214\/705 - 8\/47. What is the closest to c in 4, 3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -116*h + 575. What is r(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 5*t + 5 = -30*j, j - 3*t + 9 = 0. Let u(w) = -8*w - 1. Let m(y) = 9*y + 2. Give j*u(k) + 5*m(k).\nAnswer: -3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16792853 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-469)\/110 + (-2778)\/27780.\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 10:01 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52906 + 3878 = -9*a + 57*a. Calculate the lowest common multiple of a and 91.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 72 and -214 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 609, -5, -3, 6, -1, 0.\nAnswer: -5, -3, -1, 0, 6, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -17 + 6 + 8 + -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u + 3. Let q = 28 + 1. Suppose -28*f = -q*f + 24. Calculate the remainder when w(4) is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 458, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 14 = -0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10023031?\nAnswer: -10023030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.1 and -17.\nAnswer: -86.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 46.81. Let q = u - 0.19184. Round q to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3972 divided by -993?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1 + -46)*(-18)\/24. Solve -32*a = -y*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -231098.07 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212693 + -41475041\/195. What is the common denominator of m and -51\/26?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + s. Let d = s - -7. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9*j = -7*j - 170, -j + 235 = 4*s. Suppose 2*f - 5 - 27 = 0. Calculate the remainder when s is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f = 119*f - 144 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -66503 (base 7) to base 9\nAnswer: -24828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*y**3 + 5*y - 5*y)*(-2*y - y**2 + 2*y).\nAnswer: -50*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/(3\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -61 and -61 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjccccjjjcbccjcc. Give prob of sequence bc.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/31 (b) 1.6 (c) -4 (d) 1\/96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1056997*b**2*c + 55621*b**2 - b - 2 wrt c.\nAnswer: 1056997*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (648\/45 + -14)*(-420715)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/256, -2, 3\/5, 0, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-28))\/((-276)\/(-1472))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 2*b = 947, -3*b - 943 = -5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12391658 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 23. What is the second smallest value in 0, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141999\/100 - -1420. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/20 and -103\/108328.\nAnswer: 541640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + -78 + -28 + -12?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 3. Let n be (-6)\/2 - (-10 + 2). Let h(s) = 5*s - 3. Let i(y) = n*h(y) + 6*d(y). Give i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.36 - -77.76. What is the third smallest value in 7, -1\/3, -2\/1073, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 12.89037 nanometers?\nAnswer: 0.00000000001289037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + -66. What is m rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25413340 (base 6) to base 2.\nAnswer: 11001001101111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -18. Differentiate -6*t + 5 - 4 - c - 2 with respect to t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265417773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 394397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247024, 494042, 741060, 988078, 1235096?\nAnswer: 1482114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 76 times -325\nAnswer: -24700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*k - 2*k. Suppose 10 = 3*n + 4*j, 0 = -3*n + 5*j + 4 - 3. Solve 0*s**k + s - 2*s**n + s**2 = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10119, 20241, 30367, 40497, 50631, 60769?\nAnswer: 70911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 38 + 6. Suppose o - r*w - 12 = 0, 2*o + 3 - 45 = 2*w. Let v = o - 20. Solve v*f + 7 = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52689 and 211528.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153371906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Let d = 2.7 - t. What is d rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/242865 and 61\/2835?\nAnswer: 728595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -4) + -3 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = 3*s - 12, 4*r - s = 49. Let v be ((-16)\/r)\/(4\/(-6)). Suppose -5*i = -v*h - 13, -5*i = -5*h - 0 - 10. Solve i*l = 7*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/10, -139, 890, 5\/6, -4\/9 in increasing order.\nAnswer: -139, -4\/9, 7\/10, 5\/6, 890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55\/165 - (-2)\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**10\/d))\/d**(-1)*(d*(d\/(d\/d**(-15)))\/d)\/((d\/(d**(-4\/7)*d))\/d) assuming d is positive.\nAnswer: d**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000052058718 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400447 is divided by 4128?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 - 14*w**2 + 10*w + 4. Let f(q) = -13*q**3 - 47*q**2 + 29*q + 11. Give 4*f(x) - 11*o(x).\nAnswer: 3*x**3 - 34*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 180 + 0 = -2*v, -3*v + 4*g = -260. What is the highest common factor of 874 and v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -h - 6646 + 6296. Sort -4, -3, -2, h in ascending order.\nAnswer: h, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.216 from -20433269.\nAnswer: -20433268.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(6\/(-168)*6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 4*s**2. Let x be o(4). Suppose -b = -4, x*k + k + 5*b = 43. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262687700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 94*g**3 - 16*g**2 - 16. Let b(d) = 19*d**3 - 3*d**2 - 3. Suppose 167*n - 75 = -152*n + 294*n. What is n*a(j) - 16*b(j)?\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2336672 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/12 - m. Let o(l) be the second derivative of -l**4\/3 + 9*l. Determine o(b(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -768 - -824. Suppose 4*a = 58 + 102. Let f be a*-28*(-1)\/5. What is the highest common factor of f and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i + 17. Let u be m(7). Suppose -5*o + u = -29. Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0952951 rounded to three dps?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-840)\/(-126))\/(3*2\/9). Let b(t) = -h*t - 9*t + t + 19*t. Let d(y) = -4*y**2 - 2*y. Give -4*b(u) - d(u).\nAnswer: 4*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*f**4 - 45*f*r + f - 8560*r wrt f?\nAnswer: -44*f**3 - 45*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0.01 (c) 67 (d) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13475*d + 3260960. Calculate o(-242).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iaiaiiiiiiaaaaaaiaaa.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3676*p**3 + 62*p**2 - 7*p - 27387600 wrt p.\nAnswer: -11028*p**2 + 124*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 129 - 545. Let y = 138 + -76. What is the remainder when c is divided by y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 2:01 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 10383.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + (-3078)\/(-135))*5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c*c**2\/c)\/c)))\/c*c)**(-5\/6) assuming c is positive.\nAnswer: c**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*x + 1574 = -349 - 1785 - 712 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-27) + (-110)\/198.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42190 divided by 4219?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 659 + -659.281. Let i = x + -0.219. Put 3\/11, 0.2, 2\/3, i in descending order.\nAnswer: 2\/3, 3\/11, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*n + 810*i - 806*i + 64, -4*i = -3*n + 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 60 (c) -4.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqqqurh. Give prob of picking 1 u, 1 h, and 2 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j**3\/6 - 3*j**2 + 19*j\/2 - 16\/3 = 0.\nAnswer: -32\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -958*w - 4. Let r(z) = -965*z - 5. Give -4*p(f) + 3*r(f).\nAnswer: 937*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Let x(n) = -n**3 - 10*n**2 - 19*n - 23. Let h be x(-8). Let a = 252 - 258. Let j(w) = -2*w**2 + 3*w + 6. Determine a*k(p) + h*j(p).\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(114) - sqrt(114)*-1) + sqrt(114) + sqrt(114)))\/((sqrt(54) + sqrt(162)\/sqrt(3))\/sqrt(9)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 250159360 a multiple of 3586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 314 and -9115.5?\nAnswer: -2862267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 + 2254*f**2 - 2106?\nAnswer: 6*f**2 + 4508*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + 12\/3 + -4. Find the third derivative of -29*b**2 - 4*b**6 - 6*b**6 - 8*b**6 - c*b**2 wrt b.\nAnswer: -2160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j + 2*j. Suppose -5*q = -j*q - 94. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 27002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92340*w**3 + 6449652*w**2 - 112485957*w - 4747692.\nAnswer: -3*(18*w - 629)**2*(95*w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwfwfwppppw. What is prob of picking 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 35.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 380. Let i(u) = 13*u. Determine n(i(d)).\nAnswer: 13*d + 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*w = -182, -5*n - w = 291 - 105. Let z = 113 + n. Suppose 0 = -g - g + z. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -21.65. Let b = n - 0.15. Let r = b + -0.4991. Round r to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (21\/10 - (-3)\/(-5))*38 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3605335 divided by 215.\nAnswer: 16769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/32*8)\/(20\/12).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Let b(p) = -46*p - 14. Let j be b(-8). Let l(t) = -j + 4*t + 354. Calculate l(n(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8818123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/12 - (-57)\/(-6) - -4. Put -2, x, 5, 3 in descending order.\nAnswer: 5, 3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3338469.\nAnswer: 3, 61, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 938685920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 111039.\nAnswer: 17100006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(90)*-2)\/(sqrt(5)*-2*-5).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 40 + -24 + -5 + 5 + 25?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 10*q**2 - 12*q. Let x be i(8). Let h be (-2)\/((-4)\/(-5))*-2. Suppose -h*k + k = -x. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2508288 and 5632?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s + (2*s + 0*s + 3*s)*(-3 + 3 + 3) + 0*s + 0*s - s)*(-78*s**4 + 6*s**4 - 12*s**4).\nAnswer: -1260*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9577 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 32*a + 384 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 879 (c) -0.2 (d) 7\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382157?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11230022 (base 4) in base 15?\nAnswer: -6d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13448, 26894, 40338, 53780, 67220, 80658, 94094?\n\"Answer: -y**2 + 13449*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + -2*sqrt(1377)) + sqrt(68) + sqrt(68) + 0 + sqrt(17) + sqrt(68) + 4 + -5)**2.\nAnswer: -1422*sqrt(17) + 106178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -3*h**2 + 4*h**2 - 2 + 0*h**2. List the prime factors of n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-6))\/((-580)\/6))\/((-6880)\/(-55040)).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u = 52 - 101 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1256815744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q - 5. Suppose -6 = 2*o - 0. Let p be 43\/o - 1\/(-3). Let a(r) = 1. Let i(d) = -12*d + 21. Let k(y) = 66*a(y) - 2*i(y). Give p*u(t) - 3*k(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 79029030 to the nearest one million.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -1\/28, 53159, 1\/5.\nAnswer: -0.3, -1\/28, 0, 1\/5, 53159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -63?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/17)*y*y**0)\/(y\/(y\/y**(3\/10))*y*y**(2\/25)) assuming y is positive.\nAnswer: y**(-423\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 11*d - 2. Let f be r(5). Suppose 0 = -2*a + 8 + 2. Suppose s + 2*m = f, 3*s = -0*s + a*m + 73. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434608.\nAnswer: 2, 23, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = 3. Let i be -3 + 0 + 0 + 0. List the prime factors of ((-142)\/i)\/(2\/b).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/6 + 149*x**2\/3 + x\/6 - 149\/3 = 0.\nAnswer: -1, 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:34 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 2 + 2950*r - 1475*r - 1468*r in the form p*r + a and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 340764*d**4 - 170627 wrt d?\nAnswer: 1363056*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngggdgzgngdoznzzg. What is prob of sequence dzn?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*z**3 + 519*z - 519*z.\nAnswer: -66*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 123, 144, 147, 126, 75?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -598072?\nAnswer: 598092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/20 - 5\/2. Which is the smallest value? (a) i (b) -0.6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1430 + 94 = -2*q - 4*z, 3 = -3*z. Suppose 5*k + q = 10*k. Let v = k + -96. Does 38 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 14124*k - 427320.\nAnswer: 4*(k - 3561)*(k + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 - 2*k - 7. Let i be 11\/11*(0 - -3). Let d be l(i). Differentiate 6*n**2 + d - 1 - 2*n**2 with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2675261\/169 - -15830. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633497199?\nAnswer: 41, 3191, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 2) + (184\/(-4))\/(-1). Suppose -12*a - k = -24*a. Solve -2*s + 0 = r + 3, 9 = 5*r + a*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 17344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -77. List the prime factors of ((-18)\/v)\/(6\/10)*-64.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 3*t**2 + t - 5. Let n(c) = -5*c**3 - 7*c**2 + c - 11. Suppose 45*y = 46*y - v - 9, 2*v = -4*y. Give y*n(d) - 7*a(d).\nAnswer: -d**3 - 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l - 134*l**3 + 86 - 247*l**3 + 92*l**3 - 232*l**3 wrt l.\nAnswer: -3126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2953 - -5934. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1970917, 1970929, 1970943, 1970953, 1970953, 1970937, 1970899, 1970833?\nAnswer: 1970733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**3 + v**2\/2 - v - 1. Let r be s(1). Suppose -2*a + 0*a = -r. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -542 - -1051. Suppose 61 + c = 57*r. Solve r = 5*a, a = -5*b - 3*a - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g**3 + 9*g**3 - 16*g**3 - 533*g**2 + 4*g**3 - 54*g**3 - 2*g.\nAnswer: -95*g**3 - 533*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 33. Suppose -9*o + 13 = -n. Suppose 0 = 2*v + 3*v + 5, -o*a + v = -1. What is the third smallest value in -4, a, -5, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + 6 + -6) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -511 - -355?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 591091061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3376041043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 668 - 667. Let i be (26\/(-182))\/(a\/((-7)\/2)). Solve -5\/6*g**3 - 1\/3 + 5\/6*g + i*g**4 - 1\/6*g**2 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 39*z + 780. Let p be q(-20). Solve 3*i + 19 = -3*d + 8*d, 2*i + 6 = p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.16, 4\/3, -3 in decreasing order.\nAnswer: 4\/3, -3, -8.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 18281\nAnswer: 73124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4529889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*j + 16. Suppose 3*f + 12 = -j*f. Which is bigger: -3\/8 or f?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 901, 3838, 8731, 15580?\nAnswer: 24385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 26 = -f + 7, 0 = f - 2*p + 16. Let q = f + 12. Let y be 24\/270*3\/q. Put y, -4, 0 in descending order.\nAnswer: 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -491, -913, -1321, -1709, -2071?\n\"Answer: s**3 + s**2 - 432*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 25*y**2 - 86*y + 44. Let m be k(21). Solve 17 + 26*q - 34*q**2 - 40 + 36*q**m - 23 - 14 = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2111664 - 3?\nAnswer: -2112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6373, -0.5, -1, -1\/4, 38, -6 in descending order.\nAnswer: 38, -1\/4, -0.5, -1, -6, -6373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5579488 by 6172.\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 + 7*o**5\/60 - 3*o**4\/8 - 3*o**3\/2 + 6*o**2. Let k be z(-8). Let s be (-9)\/(-6) - k\/2. Solve l + s*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -41. Let w = 44 + v. Let m = w - 26. Solve -2*c - 7 + 1 = m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 7}. Give prob of picking 1 s and 2 w.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Suppose -w*b = -35 - 1. Solve 4*u = u, 3*s + u - b = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 1 + p - 142168378*p**3 + 284336766*p**3 - 142168386*p**3 + 1.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33895 - 26926 = -1667*o - 2476 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6435069233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32258*f**2\/11 - 83529932*f\/11 + 54073792082\/11 = 0 for f.\nAnswer: 164429\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42 or -0.02?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -33042 less than or equal to -33039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000087112277 to 6 decimal places.\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 1340, 2488, 3636?\nAnswer: 4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 - 36*c\/19 - 90\/19.\nAnswer: -2*(c + 3)*(c + 15)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3776 - -0.0224. Which is the nearest to -2\/3? (a) o (b) -3 (c) -0.2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/6 + 7*q**2\/2 - 2*q. Let z = -152 - -152. Give f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69580, 76669, 83760, 90859, 97972, 105105?\nAnswer: 112264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -26*i - 3. What is the hundreds digit of p(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/6 + 706*j. Let i(n) = -254*n + 9. What is i(m(q))?\nAnswer: -508*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Let o(l) = -80516*l**2. Give o(n(x)).\nAnswer: -322064*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10516 - -10516.00010162. Round x to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**5\/3 + 118*c**4\/3 + 259*c**3 = 0.\nAnswer: -111, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u - 8. Let p(b) = b + 2. Let k(f) = g(f) + 4*p(f). Let q(o) = 23*o. Calculate q(k(v)).\nAnswer: -230*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097*b + 160796 = 547*b - 316 for b.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 44 = 4*g. Let p = g + 15. Suppose -8\/7*w**p + 8\/7*w**2 - 2\/7*w + 2\/7*w**3 + 0 = 0. Calculate w.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 - 9*g - 19. Let i be b(6). Let n = 60 + i. Factor 43*k**2 - 26*k**2 - n*k**2 - 8*k.\nAnswer: -2*k*(3*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 + a**2 + 2 + 0*a**2 + 6*a**3. Let d(g) = -g**2. Let v(k) = -4*d(k) + t(k). Is v(2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3246\/(-189)*3)\/(2\/3). Let j be 2\/6 - 464\/6. Let y = j - c. What is the second biggest value in 0.1, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5\/4 - 3*i**2\/2 + 25*i. Let d(z) = 60*z**3 - 35. Calculate -3*d(o) + 35*f(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4670 = 9*d - 10*d, -23230 = -5*d + 5*v. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 5 - 85 = 0. Let g(i) = 4*i + 21. Determine g(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.62589332 to 1 dp.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/173 (b) -9 (c) 0 (d) 0.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 10*c**2 + 4*c. Let s(t) = -t**3 + 11*t**2 - 3*t. Determine 3*r(b) + 4*s(b).\nAnswer: -b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + q. Let i(y) = 4*y**2 - 14*y + 6. Let a(h) = -i(h) - 6*r(h). What are the prime factors of a(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t + 4*g - 2, -5*g - 4 = 3*t. What is the highest common divisor of t and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(1 - 955\/960). Which is the second smallest value? (a) -1 (b) j (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146108 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - u = 3, -5 = x - 6*x - 4*u. Let c = x - -4. Suppose -2*y = -3*y - 5*m - 6, 2*m - 12 = -2*y. Calculate the remainder when y is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 + -151a?\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.102 times 0.915\nAnswer: -0.09333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 23*t + 35 = 0. Suppose 0*m + 175 = 5*m. Let z be m\/28 + (0 - 1). Is t less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -1. Solve 0 = 3*z - r - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23465542129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z**2 + 15*z**4 - 12*z**2 + (2*z**2 - 4*z**2 + 0*z**2)*(-21*z**2 + 448 - 448) in the form c*z + t*z**3 + i*z**4 + s + d*z**2 and give i.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3982389kg in grams?\nAnswer: 398.2389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 67*w**2)*(1 - 217*w + 4 - 5) as h*w**2 + o*w**3 + c*w + p and give o.\nAnswer: -14539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/(-48) - 244\/(-48) and (-606)\/32*(-3)\/9.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.392 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 2:07 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -359\/805 + 2\/115. What is the closest to 0 in -2\/7, n, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8132355*u + 30840464.\nAnswer: -8132355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*n + 14 - 56 for n.\nAnswer: -2","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 {w: 3, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s + 369 + 225. Let m = 2 - 2. What is the second derivative of -s*q - 32*q**2 - 5*q + m*q wrt q?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1424364 and 904.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*o*r**2 + 1573*o - 43*r**2 wrt r?\nAnswer: 22*o*r - 86*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*y - 8786 - 3526 = 93*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 8*z + 10. Let j be b(9). Calculate the common denominator of j\/(-147)*6\/8 and 37\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2, -1, -7.7 in ascending order.\nAnswer: -7.7, -1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 408*g**3 + g + 2. Let n(h) = 30*h**3 + h + 1. Determine j(z) - n(z).\nAnswer: 378*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3877873, -7755685, -11633497, -15511309?\n\"Answer: -3877812*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101850 and 2765.\nAnswer: 8046150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*d - 3*i + 42 = -1143*d, 0 = -i + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 + -4 - 3) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 239 = -172*w + 215. Suppose 4*j + 2*d - 3*d = 0, 3*j - 3*d = 0. Solve j*i - w = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k - 16*k - 9*k)*(0*k - k + 8*k)*(5 - 1 - 1 + 3 - 4 + 0 + (0 + 0 - 2)*(2 - 2 - 1) + 6 - 4 - 3 - 5 - 3 - 1).\nAnswer: 504*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 14*t + 99. Let q be u(9). Calculate the remainder when 188 is divided by (-5 - 1)*28*(-63)\/q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 81.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6158*m*v + 2497*m wrt v.\nAnswer: 6158*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*k = 445*k - 227*k - 4284 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-1) - (0 + 3). Suppose u*w = -2*n + 91, -3*w + 125 = 2*w - 2*n. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -7*v**5\/5 - 17*v**2 - 35. Find the second derivative of w(h) wrt h.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g**3*r + 24*g**3 + 128*g**2*r - 125073*r with respect to g.\nAnswer: -51*g**2*r + 72*g**2 + 256*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 10:47 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113.4 + -113. Let q = -0.03 - -0.23. What is the second smallest value in 8, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -63. Sort -5, y, 67, 1 in descending order.\nAnswer: 67, y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + 8*f**2 - 43*f - 12. What is the tens digit of n(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3795 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 9:18 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, r: 1}. What is prob of picking 1 i and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1539*z**2 - 203*z - 406. What is the thousands digit of b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1173 - 4095 = -5*w - 4*y, 4*w = 2*y + 2322. Let r = w - -84. List the prime factors of (12\/(-9))\/((-12)\/r).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81442736, -81442738, -81442740?\n\"Answer: -2*f - 81442734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.2076.\nAnswer: -0.04152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3 - 3*d**3 - 1555*d**4 - 12*d - 1980 + 927 + 978 wrt d.\nAnswer: -18660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 9:55 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -353896, -707784, -1061672?\n\"Answer: -353888*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from oxmooslsoaoxx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 125634080 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 8*d - d + 9*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.81, -2, -20\/13 in decreasing order.\nAnswer: -20\/13, -2, -10.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0.5, 5\/52, -0.18.\nAnswer: -3, -0.18, 5\/52, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 28*o**2 + o - 2. Let u be q(-2). Suppose 2*r - u = -4. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-10) - 2\/5. Let c be -4 - -1 - 55\/(-20). Let p be (0 + -1)*(-3)\/(-15). What is the smallest value in k, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69, 102, 181, 330, 573?\n\"Answer: 4*k**3 - k**2 + 8*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 - a**2)*(a**2 - a + a) + (-3*a + 3*a + 2*a)*(561*a**3 - 64*a + 63*a - 5070*a**3).\nAnswer: -9021*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 + 332*s**2\/3 - 2*s\/3 - 332\/3.\nAnswer: 2*(s - 1)*(s + 1)*(s + 166)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s - 4. Give p(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(224)*-2 - sqrt(224)*-1*-4)\/(4*6*sqrt(21)\/sqrt(3)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*((-4)\/8 + 0). Suppose x*w = u + 29, -1 = 4*u + 7. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1127, -1940, -4141, -8420, -15467, -25972, -40625?\nAnswer: -60116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1308*i**4\/5 - 1048*i**3 + 5264*i**2\/5 - 32*i\/5.\nAnswer: 4*i*(i - 2)**2*(327*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41800 + -743?\nAnswer: -42443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-0.085\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473702313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = 22*y + 12, -5*u - 2*y = 63 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, -177, -742, -1625, -2826?\nAnswer: -4345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 304971 and -5567?\nAnswer: 310538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 777 - 777.9. Which is the smallest value? (a) r (b) -16 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13752 and 527028?\nAnswer: 603974088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7593433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 22*p + 12*p + 10*p - 26. Let l(t) = -t - 3. Let y(w) = -4*w - 8. Let k(a) = -8*l(a) + 3*y(a). Calculate k(x(g)).\nAnswer: -8*g**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3 = -73. Let v be ((-4)\/w - 121\/154)*-10. Suppose -v*n - 6*c + 8190 = -c, n + 4*c = 1635. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 14) to base 4\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0585, -67, -1\/73?\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2985 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343032 (base 5) in base 13?\nAnswer: -c907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, -28, -102, -216, -376, -588, -858?\n\"Answer: -p**3 - 11*p**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -946\/9*k**2 - 242\/9*k**3 - 1174\/9*k - 2\/9*k**4 - 52 = 0. What is k?\nAnswer: -117, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 + 245 - z - 6*z**2 + 378 + 0*z - 11*z**2.\nAnswer: -9*z**3 - 17*z**2 - z + 623","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.135 (b) -0.346 (c) 0.2 (d) 2 (e) 0.7 (f) -1 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6412, 12840, 19274, 25714, 32160, 38612?\nAnswer: 45070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -1\/7 (c) 3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -97, -195, -303, -427, -573, -747, -955, -1203?\n\"Answer: -z**3 + z**2 - 94*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-24)\/(-4) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264830 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**4\/4 - 17*t**3\/3 - 9*t**2 + 15*t - 30. Let y be k(18). Solve -4 = -4*o, -4*g - 5*o + y = 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3159150 to the nearest 10000.\nAnswer: 3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Let g be w(-7). Let h be (12\/g)\/((-1)\/2). Is h\/(-6) - (-328)\/12 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892751026?\nAnswer: 2, 3, 11, 19, 83, 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*n - 5*y - 13, 5*n - 5*y - 55 = 0. Let a(g) = 27*g - 1. Calculate the remainder when a(1) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 12*v - 20. Solve v*k - 2 = 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + -5 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 = 2*x. Let k(l) = 163*l. Let d be k(x). Suppose 0 = u - 543 + d. Round u to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 p, and 1 f when four letters picked without replacement from sshspspssssfzplpsphs.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 77.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2240837 + 2240837 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in -1\/2, 2\/13, -9, -3, 0, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = -3*q. Let j(a) = 8*a + a**3 - 3*a**2 + 0*a**2 - 5*a**2 + 2. Is 9 a factor of j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 14 (b) 36 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5*n - 3. Let q be k(-6). Suppose -q*f + 83 = 17. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 5*w = 4*c + 13591, -6*w + 5*c + 27188 = 0. What are the prime factors of w?\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58, 182, 388, 676, 1046, 1498, 2032?\n\"Answer: 41*b**2 + b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/9 + 164*o**4\/9 - 56*o**3 + 508*o**2\/9 - 170*o\/9.\nAnswer: 2*o*(o - 1)**3*(o + 85)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 306*x**2 + 124*x**2 + 16*x**2.\nAnswer: 448*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**6\/1980 - d**5\/660 - 43*d**3\/3 - 183. Let r(o) be the third derivative of q(o). Determine h so that r(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77565 - 4?\nAnswer: 77561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 6*x + 2*x)*(11 - 7 + 19)*(-1 + 4 - 2).\nAnswer: 230*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -336*(1792\/(-42) - -10) a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 10. Suppose -f*o + 28 = -p - 45, -4*o + 5*p + 71 = 0. Let v be (o\/4)\/(3\/6). Let r(u) = -u + 5. Determine r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/4)\/q)**27\/(q*q**(-2\/7))**5)**23)**(-26) assuming q is positive.\nAnswer: q**(199433\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 88680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 36 - 34. Let k(o) = 2*o**2 - 3*o. Let g be k(2). Suppose -3*r + m = -g*r. What is the remainder when 53 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22681, -45367, -68053?\nAnswer: -90739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7843381 divided by 637?\nAnswer: -12313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1403 - 1411. Let x = 178 + -1600\/9. Is x greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r\/(r**(-5)*r*r)*r*r)*r)**(-41)*(r**(-10))**29 assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -9, -2.886, -5, -3 in descending order.\nAnswer: -2\/15, -2.886, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12807 - 12807.3. Which is the nearest to 0.16? (a) z (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16754231.\nAnswer: 13, 17, 47, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 44674*b - 446745. What is i(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**2 + 9*a - 4. Let v(l) = -l**2. Let n(m) = r(m) - 6*v(m). Let x be n(-10). Suppose x*k - 3*k = 258. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 4:08 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -499*x - 17277. Does 4 divide a(-47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((7 - (2 - -2)) + -4) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from ijjjjikiiii?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -104210 divided by 23?\nAnswer: -104210\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -115. Let z = -8 + 31. Calculate the remainder when j is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -947, -1908, -2885, -3884, -4911?\nAnswer: -5972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -1\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15195843 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/58 and 47\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 11 + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3252 by 17.\nAnswer: 3252\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*j = 549*j - 1896*j - 1057*j + 58701 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257 + 6. Suppose j = 4*u + 47. Suppose -u = -b + 51. What is the greatest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 0. Let n = b + 8. Which is bigger: 1\/9 or n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0 (c) 5\/3 (d) -134 (e) -43 (f) -3 (g) 0.05\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(10)\/sqrt(2)) + (sqrt(637) + 0 - sqrt(13)) + 0.\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74377 - 74377.69951. Let n = k + 0.7. What is n rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16539119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(931) + sqrt(931)) + sqrt(931))**2 + (-2 + sqrt(475))*-4.\nAnswer: 372*sqrt(19) + 45643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(66)*-1 + sqrt(66))\/sqrt(6)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 107, 154, 199, 242, 283?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2. Let b(h) = h + 11. Let c = -6045 + 6011. Calculate c*x(u) + 6*b(u).\nAnswer: 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 146\/6 + (-2)\/6. Suppose -4*k = -0*k - q. What is the third derivative of 0*c**2 - 2*c**3 - k*c**2 + 7*c**3 wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 121, 284, 515?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1397 != -1396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.278 or -5?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - d**4 - d**4 + (-2*d + d**3 + 2*d)*(-3 - d + 3) - 10*d**4 + 8*d - 8*d.\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6355532131 + 0?\nAnswer: 6355532131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 - 60*n + 58*n - 7)*(5*n - 2 - 6*n + 3*n) as g*n + d + j*n**2 and give g.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33737*a*u**2 + 2*a*u - 16*a - 2*u + 600 wrt u.\nAnswer: -67474*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/15)\/((350\/35)\/180).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 11:25 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (3 + (-9 - (-9 - 10)))) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850853 is divided by 170124.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 take away -660?\nAnswer: 660.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -n + 5*s, 5*s = 3*n - n. Find the second derivative of -5*x - 8*x - n*x**2 - x + 4*x wrt x.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005*k**2 - 2027*k**2 + 2*k**3 + 1022*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*m**4 - 546*m**3 + 2*m**2 - 4*m - 1774837 wrt m?\nAnswer: -72*m**3 - 1638*m**2 + 4*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 10*i + 35. Let r(g) = -g - 1. Let h(a) = -3*r(a) + z(a). Let o be h(-11). What is the derivative of -149*p**2 - o + 17*p**4 + 149*p**2 wrt p?\nAnswer: 68*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -234810 - 2111?\nAnswer: -236921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99086406.\nAnswer: 2, 3, 19, 869179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 194?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 43. Let m(s) be the third derivative of 0 + 1\/60*s**5 + 0*s + 1\/3*s**3 + s**2 + 1\/24*s**d. Determine m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35808 is divided by 148.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/3)*q\/((q*(q**(-2\/23)\/q)\/q*q)\/q)*(q*q*q\/q**(-2\/5)*q)**(3\/11) assuming q is positive.\nAnswer: q**(1709\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)*(-6)\/12. Solve 2*a - 6 = -3*g + 7, -2*g - a + 8 = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/14 and -29\/182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307228 is divided by 1084.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6952 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1 - -2) + -24 + 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 - 12*k**2 + 9*k + 3. Let n be q(10). Let i = n + -26545\/14. Find the common denominator of i and -67\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51825 >= 1295658\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 - 155. Suppose g + 2*w = -6 - 0, -3*w - 8 = 2*g. Suppose j = -m - g, 2*s = m - 1. Is s greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 12, z: 3}. What is prob of sequence zz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.8 (c) -4\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose v = f + 4*f - 10. Find the third derivative of 2*d**6 + 3*d**2 - 3*d**6 - d**f wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248569?\nAnswer: 7, 83, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/12 + 5*b**3\/6 - b**2 + 4*b. Suppose -20*w + 13 = -3*m - 19*w, w = -2*m - 7. Determine i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 + 0 = 0. Let k = 6 - s. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + h = 1880, -2*h + 3784 = 5*a - 5616. Suppose -5*k + a = -3*v, 3*k - v = 542 + 590. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4176 + 3006.93\nAnswer: -1169.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -87*x + 4994. Is u(15) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 25314*o - 531612\/7.\nAnswer: 2*(o - 3)*(o + 88602)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8580 and 442860?\nAnswer: 5757180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10\/11)*n*n)\/((n*(n\/(n*n*n*n**13\/n)*n)\/n)\/n*n))**30 assuming n is positive.\nAnswer: n**(4650\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -28. Let v = 22.7 + r. Round v to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**4 + 92*a**3 - 51831*a wrt a?\nAnswer: -60*a**2 + 552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 + 3*r + 3. Is j(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.9 - -0.9. Let m = 6.92 + s. Let k = -0.08 - m. Put 2\/5, 4, k in increasing order.\nAnswer: 2\/5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/27 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 16. Suppose a = g - 2*o + 3*o, 4*o - 19 = -3*g. Solve -5*u = -25 + g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 at least as big as 1636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 115, 410, 889, 1552, 2399, 3430, 4645?\n\"Answer: 92*h**2 + 19*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 4) in base 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(6\/14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -u - 3, 2*u - u - 2 = -3*o. Let g(j) = o - 6*j**2 + 9*j**2 - 2. List the prime factors of g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3504191 is divided by 12789.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/7 and ((-141)\/18)\/((-5)\/3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 631255?\nAnswer: -631255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = 0. Let o(m) = -3*m**2 - m - 2. Let z be o(-1). Calculate the common denominator of (-99 + f + z)\/20 and 81\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 = 28*f - 386. Suppose f*t = 63*t - 5586. Is t a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.6 or 0.02935914?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -6*i + i. Let f be ((-7)\/14)\/((-2)\/48). Solve -5*c - f = x - 3*c, 4*x + 5*c + 33 = i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*r + 52*r + 392 = 70. Factor 21 + 3\/7*h**r + 6*h.\nAnswer: 3*(h + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-27)*c)\/c)\/((c*c**18)\/c) assuming c is positive.\nAnswer: c**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 0)\/((-3)\/267). Let f = m - 84. Solve x + 4 = -3*c, -f*x + 18 = -c - 2*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43c2 - 271?\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from {t: 5, a: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15708 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 455292990 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39\/19, 0.01, 1087?\nAnswer: -39\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.5 - 11.3. Let w = -0.012 - 0.048. What is the third biggest value in -5\/4, -1\/2, w, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let a(n) be the third derivative of -5369*n**5\/60 - n**4\/24 + 43*n**2 + 11*n + 1. What is a(i(f))?\nAnswer: -5369*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*a + 646 = -128*a - 109*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 + 9 = -4*c, -4*j - c - 3 = 0. Suppose j*z = 3*n + 5*z - 2, 3*n - 16 = 2*z. What is the second smallest value in 5, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-34)\/51 + 30\/333 and 77\/6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*m + 3, -97 + 88 = 3*t - 6*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6200 + -5?\nAnswer: -6205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 500151 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: Suppose -9*i = -13*i + 20, 0 = -5*y + 2*i + 15. What is the nearest to -42 in -1, 1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w. Let n be (-15)\/13 - -1 - (-1197)\/(-247). Let h be -1*1\/1*(30 - 7). Sort w, n, h.\nAnswer: h, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-113)\/(-1) - (-16)\/(-8)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38.942 + 39. Let f = 4.058 - a. Put 5, 30, f in descending order.\nAnswer: 30, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121229.087 rounded to the nearest one thousand?\nAnswer: -1121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 35469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1899 + 2969. What is the highest common factor of 40 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jckbuubbbujucuuuukub. Give prob of picking 2 c and 1 b.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 7*m + 7. Let a be o(-4). Suppose a*z - 9 - 6 = 0. Suppose -z*q + 5 = -4*q. Solve q*t - 20 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -883 - 593 = -6*w. List the prime factors of w.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 11. Let o be d(-9). Suppose -3*l - r = -0*l - 15, -3*l + 12 = o*r. Which is bigger: l or -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*u**2 - 40*u**2 - 997 - 34*u**2 + 0*u**3 + 3*u**3 + 3621 to o + c*u**3 + d*u**2 + l*u and give o.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 5.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:00 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/4 + g**4\/6 - 5*g**3\/6 - 3*g**2 - g + 6. Calculate n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let x = -101 - -146. Suppose 2*a + 3*v - 1 + 2 = 0, x = 5*a - i*v. Solve a = -2*y - l, -10 = 5*y - 0*y - 5*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4208 - 411*f + 8475 - 4267.\nAnswer: -411*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.07 - 2.49. Round d to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, g: 2, y: 1, s: 4}. What is prob of picking 1 g and 2 s?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2789318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -124, -235, -376, -541, -724, -919?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 5*p**2 + 3*p + 7. Let l be q(-5). Calculate the common denominator of (-1)\/4*(-31)\/(-5) and 6\/l*(-589)\/(-114).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*w - 311*w + 51*w + 3*w**2 + 139*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 364 - 32. Are 1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {r: 1, s: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-2 + sqrt(96) + 2*sqrt(96))\/((sqrt(96)*1 + sqrt(96))\/sqrt(12)*-5).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r**3 - 12*r + 26. Let u(d) = 9*d**3 - d**2 + 12*d - 25. Let g(s) = -9*u(s) - 8*z(s). Calculate g(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20196, 33604, 47012, 60420, 73828?\n\"Answer: 13408*c + 6788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 203708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -867*w - 5200. Let h be u(-6). Let q(x) be the second derivative of 0 + 0*x**h - 1\/6*x**4 + 0*x**3 - 37*x. Let r(y) = 11*y. Determine q(r(g)).\nAnswer: -242*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*o**3 + 758*o**3 + 33*o**2 - 381*o**3.\nAnswer: -5*o**3 + 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2)\/(-32 + 33). Let v(t) be the third derivative of 1\/54*t**4 + 0*t - 2*t**2 + g + 1\/270*t**5 + 1\/27*t**3. Factor v(y).\nAnswer: 2*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = -6. Let x(k) = -3*k**2 + 2*k**2 + j*k**2 + 2*k**2. Let t(y) = 273*y - 5*y**2 - 273*y. Calculate x(t(r)).\nAnswer: 75*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15207*z - 1247 = -15178*z. Is -17 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (3 + (7 - 4)) - (3 - (-4 + 8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -19)\/((1885\/91 + -21)\/((-4)\/21))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*a - 5. Let g(r) = 2*r**2 + 3*r + 2. Suppose -322 = -b - 324. Let n(z) = 1 + 1 + z**2 - z**3 - 1. What is a*g(k) + b*n(k)?\nAnswer: 2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 - -388. What is the common denominator of r\/(-48)*(-2)\/(90\/17) and 19\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b - 5, -4*y + 5*b = -15. Suppose 5*c - 1 - y = 2*x, 2*x + c = -17. What are the prime factors of (-12)\/x*(-56)\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-20)\/((d**(1\/5)*d*d)\/d) assuming d is positive.\nAnswer: d**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l = -18*l + 21. Let g be (4\/(-49)*l)\/((-10)\/(-70)). Factor -12\/7*n**2 + g*n + 8\/7 + 4\/7*n**4 - 4\/7*n**3.\nAnswer: 4*(n - 2)*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1)\/(-45 + 53)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.719593 decades to years.\nAnswer: 37.19593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from zszz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 3*j**4 - 3*j**4)*(-2*j + 0 + 0) - 93 + 93 - 138*j**5 + 3*j**5 - 4*j**5 - j**5.\nAnswer: -138*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lccm when four letters picked without replacement from {m: 5, l: 2, c: 8, a: 2}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 81 = -2*i. Let n be (-245)\/(-98)*36\/10. Suppose -51*b - n = -52*b. Calculate the greatest common factor of i and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 2*u**2 - 5578*u + 17247*u - 5566*u - 6103*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 16460 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 69) + 42 + 31 + -190\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219 - 216. Let a(o) = o - 4. Let d be a(6). Let m be (-1)\/(-4 - -3) - -1. Solve -m*k = -d*q + 18, v*k + 1 = -14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1550 and 465?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-455112)\/(-654444) + 1\/53.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3288451308 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10*n + 11. Let i(f) = -15*f + 16. Let u(t) = -5*i(t) + 7*w(t). Let m(s) = 2*s - 1. Let q = -4431 - -4425. What is q*u(r) + 17*m(r)?\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -146723 - 45410?\nAnswer: -214333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 4*z - 7. Calculate the remainder when h(-5) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 + 382436*s - 127478.\nAnswer: -2*(s - 63739)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 31231278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1*13 - (-211 - -203))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, j: 8, h: 3}. What is prob of picking 3 j?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b*b*b*b*b**(-6\/11))\/(b**4\/b**(-6)))**(-2\/3) assuming b is positive.\nAnswer: b**(26\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 3. Let w be c(-8). Let l(m) = -2*m**3 + 2*m**2 - 1. Let i be l(-1). Let v be 62\/4 - i\/6. What is the highest common divisor of v and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86025991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -523, 0.2, -6478, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1254\/5, 2, 0.4, -5 in descending order.\nAnswer: 1254\/5, 2, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (12 + -10)) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 44 = 13*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8*f = 0. Let t(g) = f*g + 4*g - 3*g. Let z(w) be the first derivative of -w**3\/3 + 2. Give t(z(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*q = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(102) + 2*sqrt(102) + sqrt(102)))\/(sqrt(66)\/(sqrt(55)\/sqrt(5))) - (3*(1*sqrt(153) - sqrt(153))*-4)**2.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 56.8?\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {o: 1, r: 4, f: 1, b: 3, v: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 19*b**2 - b + 35. Let a be c(19). Let u(w) = -w**3 + 15*w**2 + 16*w - 3. Let d be u(a). Is 11 a factor of (4 + -2 - -37)\/(d\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 6}. What is prob of sequence as?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511 - -123650.\nAnswer: 123139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttoootmotttmt. Give prob of picking 1 m and 2 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1429020 and 252180.\nAnswer: 4287060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/3? (a) -0.5 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 13 = 4*p, 4*a + 5*p + 3 + 13 = 0. Solve -w = -2*w + a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -31. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from zezcjzc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2.7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 20381\nAnswer: 2038.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/6 - 4\/(-6). Suppose -x*k = -10 + 4. Solve 3*p**2 + 2*p**5 + p - p**5 - 2*p**3 - 3*p**k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2\/5*u**5 + 0*u**3 - 99 + 17\/2*u**2 - 55*u + 0*u**4. Differentiate y(o) wrt o.\nAnswer: -8*o**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*m - 25*m**3 + 27*m)*(4*m + 3 - 5 - 5*m) in the form h*m**4 + s*m**2 + r + p*m + l*m**3 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/648 and 5\/25488.\nAnswer: 76464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -4301 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2013753014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -19*k**2. Let f(v) = -33948*v. Determine f(g(h)).\nAnswer: 645012*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -16. Let o = 195 + s. Let j = o + -218.99798. Round j to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7262282509 and -15.\nAnswer: -7262282524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 970019235 to the power of 1\/2, to the nearest integer?\nAnswer: 31145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = 3*c, -5*c + 48*m = 49*m + 9. What is the smallest value in 0.5, -27, c?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b**3 + 5*b**3 - 4*b**3)*((2 + 2 - 6)*(-5 + 4 - 2) + 1 + 1 + 1 + 0 + 0 - 1).\nAnswer: -88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*z + 66, 30 = 3*l - z + 3*z. Let m be (2\/(-4))\/(1\/l). Let a(g) = 2*g - g + 13 + 0*g. Calculate a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103380 - 103327.059. Let s = n - 53.2. Let t = s + -0.041. Which is the nearest to -5\/4? (a) 4 (b) t (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 37 - 9 = -2*i, h - 3*i - 8 = 0. Let s = -284 + 235. What is the units digit of (-14)\/s - (-472)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -712 (base 9) to base 14.\nAnswer: -2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**5\/100 - 731*q**4\/30 - 88816*q**3\/5 + 535824*q**2\/5 + 83*q + 42. Factor m(b).\nAnswer: -(b - 2)*(b + 732)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 522 and 580.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzv when three letters picked without replacement from zwvrrvfrvvrhzrwzzwrr?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0814 and -4.9.\nAnswer: -4.8186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 77*l**2 + 86*l - 72. Does 5 divide u(77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 6:53 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (38 - 27)*(-184)\/(-44). What is the highest common divisor of l and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -136 + 136 + 50*y**2 + 3 - 3 + y**2 + (3*y - 2*y + y)*(2*y - 2*y + y) in the form l + v*y**2 + a*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192*u + 1087 - 2815 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 128*i**3 + 6777*i**2 - 358*i + 700. Calculate p(-53).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -7*g**2\/2 + 8*g - 719. What is k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -153\/2*y**2 - 121*y + 0*y**4 + 76\/15*y**6 + 0 + 0*y**5 + 0*y**3. What is the derivative of m(s) wrt s?\nAnswer: 608*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 4)*((-1 - 1 + 0)*(-21 - 13 + 4) - 4 + 3 + 0)*(-2 + 3 + 1)*(8*j + 9*j + 14*j) to the form s*j + p and give s.\nAnswer: -14632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63482236.\nAnswer: 2, 71, 223529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101030313332 - -3?\nAnswer: -3101030313323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75474815*w**2 - 81737690?\nAnswer: 150949630*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100101002 (base 3) to base 5\nAnswer: 204313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/128 (b) 9 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 18*i**2 + 20*i - 23. Let n be j(19). Let x(s) = s**3 + 5*s**2 + 2*s - 4. Let t be x(n). Solve -8 = 4*d, 4*z - t + 22 = -5*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + 9*j + 14. Let o be b(-6). Let x = 141 - o. What are the prime factors of x?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -1 + 11 + 1. Let r = x - 7. Solve -f = r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcfvvvvvfr. What is prob of sequence rv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 881.696 and -0.2226?\nAnswer: 881.9186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1018763273*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -132111133213 (base 4) to base 16\nAnswer: -7957e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smwe when four letters picked without replacement from {n: 3, e: 1, b: 1, w: 3, s: 1, m: 5}?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2999\/2 - 1466. Let h = w + -33. Is 0 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -1\/12*u**4 + 5\/2*u**3 + 10*u + 0 - 3\/2*u**2. Calculate the least common multiple of t(14) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:51 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, 5.341, -4.\nAnswer: -4, 2\/3, 4, 5.341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*g*o**5 + 293*g*o**4 - 4808*g - 15*o wrt o.\nAnswer: -1200*g*o**3 + 3516*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 198128676 + 198128676.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-52) + (-4)\/78*3)*-118. Suppose -u + 5*s = -388, -25 = -3*s - 2*s. What is the greatest common factor of u and m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n. Let w be u(-2). Suppose 4*l - w = 14. Solve -5*m + 2 + l = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 16*u**2 - 14*u + 7. What is the remainder when 24 is divided by n(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((2 + -1)*-1). What is the remainder when 8*(-3 - (v + -5)) is divided by (-4)\/14 - 23\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n - t = -1, 4*n + 5*t - 11 = 0. Suppose -3*l = 3*v, 4*v - 29 = 5*l + 7. Let r be (-6)\/l*8\/(-20). Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*s, -2*s - 18 = 5*h - 90. Suppose 20 = 5*x - 0. Suppose -x*v = -15 - 5. Solve -v*o = -20, j + 4*o - h = -0*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6597*o - 2983. Is y(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 - -122. Let k = 138 - i. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019 rounded to five decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6569 is divided by 920?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h**2 + 7. Let k be t(-4). Let w = 583 + -153. Let r = w + k. What are the prime factors of r?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/154 and -11\/38402?\nAnswer: 422422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 6:27 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.4692\nAnswer: -1.4692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283\/1395 + -3\/155. Suppose -4*s + 0*s = -4*q - 20, 0 = 5*s - 4*q - 20. Suppose -5*t + 9*t - 4 = s. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 36, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 2\/105*t**7 + 0*t + 4*t**3 + 0*t**6 + 0*t**5 - 26*t**2 + 0*t**4 + 0. Differentiate j(l) wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -5*(sqrt(108) + 1*sqrt(108)).\nAnswer: -54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 12*q**2 + 8*q - 20. Let g be j(10). Let t be (36\/(-14))\/(-2 + (-265)\/g). Solve -3*z = 3*k - 0*z, -5*z - t = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-6 - -7)) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*j - 961, 7*j - b - 959 = 5*j. Suppose -19*n = -186 - j. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6455544.57 minus -0.1?\nAnswer: -6455544.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11141 + -1?\nAnswer: -11142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2829, 5581, 8339, 11103, 13873, 16649, 19431?\n\"Answer: 3*b**2 + 2743*b + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, r: 4, n: 4}. What is prob of picking 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19648879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*(-864)\/(-384)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*a = -10, 0 = -0*a - 5*a. Suppose -b - 138 = 3*f, -f - f - 100 = -2*b. Let t = x - f. What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27053142, 27053115, 27053088, 27053061, 27053034?\nAnswer: 27053007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) 0.063 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -0.14125688?\nAnswer: 0.64125688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 446552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.8232 centuries in months?\nAnswer: 107787.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f + 114 = 0. Let u = f - -69. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 32 + 23 + l**2 as q*l**2 + p + x*l and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 4*a**2 + 5*a**2 - a**2 - a**3 + 1 as n*a**3 + i*a**2 + b*a**4 + f + c*a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 5. Let q be a(4). Suppose -3*m = 2*g - 15, 3*g + 6 = 6*g - m. Suppose z - 17 = -g*j, -z + 2*z + q = 4*j. Let t(o) = o - 4. Calculate t(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ccd (base 15) in base 8?\nAnswer: 5515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2730, -10663, -23946, -42579, -66562?\nAnswer: -95895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(65)\/sqrt(5) + 0)**2 + sqrt(13) + -1)*4.\nAnswer: 4*sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c**2 + 144*c - 888. Let n(q) = 5*q**2 - 48*q + 297. Let v(j) = -8*n(j) - 3*y(j). Determine z so that v(z) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 24 = 3*r. Solve r*z - x + 3*x + 30 = 0, 50 = -5*z - 5*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 40*f**2 + 163*f + 114. Let g be y(36). What is the greatest common divisor of 17822 and g?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + m**3 + 4*m**3 - 3*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 + -6.85. Let c(d) = -d**2 - 5*d + 3. Let p be c(-5). Suppose -3*w + 2*h + p = -0*h, 3*w + 5*h = 3. Is w equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + 62 - 54*m**2 + 117 + 59*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/2 - i**5\/12 + 31*i**4\/3 - 403*i**2. Find the second derivative of y(n) wrt n.\nAnswer: 360*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.1275*-5\nAnswer: 40.6375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.309 + 0.12. Round x to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50781811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -11*u + 13*u. Let n = -13 - u. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3668741um?\nAnswer: 0.0000003668741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 3*t + 3*t)*(-1 + 4 + 1)*(2 + 1 + 0)*(1 + 3 - 2) in the form o + s*t and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(245)*-5 + 4*-2*sqrt(5) - (-4 + (sqrt(10)\/sqrt(18))**2 + -1 + sqrt(125) + 1).\nAnswer: -48*sqrt(5) - 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (9 - ((-15 - -30 - 8) + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 - 2*t**2 - 59*t + 14. Let q(a) = 4*a**3 + 3*a**2 + 88*a - 20. Determine -7*f(p) - 5*q(p).\nAnswer: p**3 - p**2 - 27*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-679)\/(-35) - 4\/10. Calculate the greatest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35 and -2.038?\nAnswer: 37.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 = 106*b + 5. Let z(c) be the first derivative of -2\/35*c**b + 0*c + 8 - 1\/14*c**4 + 1\/7*c**2 + 2\/21*c**3. Solve z(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81611 is divided by 13399?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3 + 15\/1. Find the common denominator of (-3)\/j*(-130)\/(-3) and (146\/(-9))\/(2 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-80)\/(-12))\/4*3 - -20449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658752.93 seconds to hours.\nAnswer: 182.986925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.7 + 18. Let v be 4\/20 - 104\/120. Which is the closest to v? (a) 3\/2 (b) i (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 139, 211, 283, 355, 427?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88352, 88354, 88356, 88358, 88360?\nAnswer: 88362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/420 + 37*u**5\/42 - 1000*u**4\/21 + 20500*u**3\/21 - 1735*u**2. Find r such that f(r) = 0.\nAnswer: -205, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*f*g**3 + 223*f*g**2 + 10*f*g + 2*f + 19*g**5 + g**2 wrt g.\nAnswer: 186*f + 1140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-1 + 2.\nAnswer: -12*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119421496?\nAnswer: 2, 3, 43, 2053703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -418?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyw when three letters picked without replacement from {g: 1, y: 3, u: 3, w: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = -2*p + 26*p - 19 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-126*(-38)\/6384.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4190882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 49 = -2*b, g = 4*g - b - 152. Calculate the highest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5571*j + 3 + 1 + 5570*j + 3 - 7.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2 + 8. Let f(o) = 4*o**2 - 5. Suppose 0 = 4*w + 3 - 35. Let z(r) = w*f(r) + 5*h(r). Let l(q) = -5*q**2 - 24*q + 24*q - q**2. Determine z(l(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184027.923 milliseconds in days?\nAnswer: 0.0021299528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430 + -414. What is the highest common factor of s and 560?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4 + 2246*x**3 - 109498*x**2 - 2182206*x + 113795136 = 0.\nAnswer: -1169, -32, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -800 and 91.\nAnswer: -72800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -176 + 102 + -25 + 131.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b - 5 = 68*b, 2*t - 2*b = 26. Solve -2*d = t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -11 - 2 - 92 - (9 + -31).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -26. Find the third derivative of -2*b**3 + 0*b**3 + 10*b**2 - j*b**3 - 5*b**2 wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 - u + 1. Let o(h) = -38*h**2 - 9*h + 8. Let m(z) = -18*d(z) + 2*o(z). Let q(x) = -x**3 - 4*x**2 - 3. Let s = 1 - 3. What is s*q(f) + 3*m(f)?\nAnswer: 2*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 - 72. Calculate the greatest common factor of b and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4095 - 4118. Which is the biggest value? (a) -3 (b) q (c) 2 (d) -12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*y - 5*y + 36, 2*y = 8. Suppose l*p + 13*p - 210 = 0. Solve p = -2*b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3708 - 0.1292. Put -2\/7, b, 0.2 in descending order.\nAnswer: 0.2, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -3*b - 1\/4*b**4 + 0*b**3 - 1 + 0*b**2. Differentiate x(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3104.000006347 + -3104. Round n to 7 decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902073 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 - 165. Is -16*2\/(-5)*u\/8 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2305.496 * 2.\nAnswer: -4610.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/25))\/(f\/(f*f**0)))\/((f\/f**(-6))\/f**(-8)) assuming f is positive.\nAnswer: f**(-352\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 158\/18 + 4\/18. Let n = r - 1. Solve -d + n = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81266 or 123?\nAnswer: 81266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/840 and -31\/1120.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3052 and 93\/3052?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1532, 1813, 2094?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1672 and 28.\nAnswer: 46816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 + 2*a - 2. Let t be o(-2). Let s = 14 - t. Suppose w = -s*w + 275. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/30 + (-64505)\/350. Let k be 23\/(m\/48) + 15. Solve 12 = k*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebvlvavleaiaialb. What is prob of sequence all?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + 346\/(-14). Let h = 775 + -723. Let y = i + h. What is the greatest common factor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0*u + 0*u**3 + 1\/6*u**4 - 5*u**2 + 0. Let p(l) = -2*l. Determine 5*p(i) + 2*x(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c2 (base 14) in base 3?\nAnswer: -1120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 15*h + 18. Is t(-14) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 18*p**4 - 61*p**3 + 180*p**2 - 100*p = 0. Calculate p.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 101*m**2 + 201*m - 111. What is t(103)?\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(3*g**4 + 2*g**4 - 4*g**4)*(-2 - 2 + 7).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7897 and 13708.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -82\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2 + 2)*(6*x - x**2 - 15*x + 2*x**2).\nAnswer: -x**4 + 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:34 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 1:36 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(2*w - 2*w - 2*w) + 5*w + 2*w - 3*w)*(-346*w**2 + 0*w**3 + 343*w**2 + w**3 - 1).\nAnswer: 2*w**4 - 6*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*s - 16 = -4*r, r - 2*s = -8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -3 - (-1 + 1). Suppose 0 = -b - v*b + 8. Is b\/6 - (-114)\/9 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.3 (c) 481\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3840)\/60160 + 3575\/47.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17580 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + 0 + 100\/180. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 + 6*b + 10. What is the tens digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85701 is divided by 42844?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 9. Let t be (2 + d + 4)*-3. Let m be ((96\/(-28))\/t)\/(-2). What is the third smallest value in -5, 0.01, m?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1835906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184650023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 14 + 2*q**3 + 12*q**3 - 4*q**3 as b*q + x*q**2 + u + n*q**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9242*d - 15. Let q(v) = -18489*v - 35. Give -7*j(r) + 3*q(r).\nAnswer: 9227*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/8 + (-13)\/(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/21 - (-609009)\/(-21). What is l rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119878 is divided by 3521.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10b6b9 - 3d?\nAnswer: 10b67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = z + 8, 2*c = -5*z + 10 + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 11*o - 26. Let f be n(-5). Solve f*x - 8 = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*r - 114, 0*r = -2*r - 4. Let q(j) = -j**3 - 4*j**2 - 5*j + 5. What is the remainder when q(-6) is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842452368 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5824 = 21*x - 112*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 122055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 19 = b + 2*p, -4*b + p = -79. Let k be -5 + 4 + b\/((-5)\/(-1)). Solve 4 = 3*g - 2*z, -4*g + 7 - k = -4*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -72. Suppose -x*i - 308233 = 2*s + 18562, 490198 = -3*s - 2*i. What is s rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*n**3 - 1047*h + n**3 + 735*n wrt n.\nAnswer: 3*h*n**2 + 3*n**2 + 735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 75, -1\/11, -10, 11, -2, 38\/15?\nAnswer: 38\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -106 in descending order.\nAnswer: 2, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:23 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1 - 4 + 3*x - x - 3*x. Let g be o(-2). Let b be (-1)\/(-7)*-2 - 357\/(-1421). Are b and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 + 27*o - 1 - 139*o. Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*x - 3497091 = -1230657. What are the prime factors of x?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = -4, y = -2*c - 2317681. Let n = y + 5053132. Let u = n - 1345449. What is u rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/99*(-5)\/(140\/12).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 948, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4 + 204*l**3 + 3276*l**2 + 16900*l = 0 for l.\nAnswer: -25, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164014965 and 4797.\nAnswer: 2132194545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.6*13.\nAnswer: 553.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 20*p + 63 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x*x\/x**(-9)*x)\/x*x**(4\/15)*x**(1\/26)\/(x**23\/x))**26 assuming x is positive.\nAnswer: x**(-3391\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**4\/6 + 8*y**3 + 2*y**2 + 270. Let t be b(12). Let a = -3 + 5. Solve t = -v - v + a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 57 in descending order.\nAnswer: 57, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3074 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 5*t + 106 = 0, -b - 51 = -2*t. Let i = 46 + b. What is the remainder when 17 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Suppose o*c = c - 17. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26 and 21\/34222.\nAnswer: 34222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 168.62*-42.3\nAnswer: -7132.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:55 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/5530488 and 89\/932?\nAnswer: 5530488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(170)\/sqrt(10))**2 + (sqrt(1700) + 1)**2.\nAnswer: 20*sqrt(17) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*41515.\nAnswer: 207575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 1201*a + 35*a**2 + 1229*a - 27*a**2.\nAnswer: a**2 + 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -50?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3528*v. Let f(p) = 4*p**2. Calculate f(b(o)).\nAnswer: 49787136*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/59? (a) 1\/4 (b) 2\/3 (c) 0 (d) 4 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g - 2. Let n be 8568\/(-120) + (-3)\/5. Let p = 74 + n. Determine m(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4 + u + 2*u - u. Suppose 2*r = -4*y - 24, 4*r = 8*r. Calculate t(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 8267*l + 16535. Give o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35189 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 26875519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/8)\/i*i*i*i*i*i*i**(3\/10))**(-35) assuming i is positive.\nAnswer: i**(-1519\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 5*p**2 + 12*p - 2. Calculate s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*(-178398)\/2992*1*(-2)\/30?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15404353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Let b = 1 - y. Is b\/(2\/844*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 + 1*2\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.45 less than -2?\nAnswer: -5.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -780\/791 or -2?\nAnswer: -780\/791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - 2. Let c = -9 - a. Is 166\/c - (-2)\/7 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s + 900 = 38*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12 - -12) + 3501 + (-6)\/(-2).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 24*b + 13. Let j(o) = o + 1. Suppose -32 = 5*v - 42. Let m(r) = v*j(r) - w(r). What is the first derivative of m(s) wrt s?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/439 or 0?\nAnswer: -25\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/72554562 and 145\/556251642.\nAnswer: 1668754926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-2)\/(-4)). Let h be n\/(0 - 3\/(-9)). Let o = 6 - h. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:57 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -102. Suppose 213*l - 288 = 214*l - 5*n, 5*l - 2*n + 1302 = 0. Is (j\/(-8))\/((-3)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**21*p)\/(p*p**10*p) assuming p is positive.\nAnswer: p**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {d: 3, x: 4, e: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 17. Calculate the remainder when 15 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 212 = -6*u. Suppose -52*b = -u*b + 6. Suppose -4*f - b = -6*f. Solve f*g + 15 = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2616*p**3 - 2151*p + 3354*p**3 - 2171*p**3 wrt p?\nAnswer: -8598*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-6))*p)\/p**2*(p*p*p**(-1))**(-10\/3))**33 assuming p is positive.\nAnswer: p**(-341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, -0.5, -4, 17773\/9, 26, -0.2?\nAnswer: 17773\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 42*u**3 + 2*u**2 - 2*u. What is the remainder when c(1) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 32. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**(-3)\/u*u*u*u*u)\/u**5)**(-4\/15))**43)**(-32) assuming u is positive.\nAnswer: u**(-5504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39950 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4*l**2 + l**2)*(l - 7*l**2 - l**2 + 2*l**2).\nAnswer: 6*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140164 divided by -523.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 24*h. Let x(b) = -168*b. Let y(t) = -20*w(t) - 3*x(t). Let o(d) = -d + 3. Let r be o(2). Is y(r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/6 and -74\/1389.\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 2*r**2 - 48*r.\nAnswer: r*(r - 8)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 41*c**2 - 44*c + 90. What is h(42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51434 + -32?\nAnswer: -51510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 248550573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70098 + 70098 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3864)\/(-15)*(-8825)\/(-24710)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 20*h + 237. Determine s(-8).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8690?\nAnswer: 2, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -3*s**5\/20 - 3*s**4\/4 - 3*s**3\/2 - 3*s**2\/2 + 2*s. Factor k(o).\nAnswer: -3*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 e when three letters picked without replacement from ekafe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 19777133580?\nAnswer: 19777133573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**3 + 7*o**2 + o**4 - 1 - 7*o**3 - o - 8*o**2 to the form m*o**4 + n*o + y*o**2 + t*o**3 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4413579 to the nearest integer?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/1360*17)\/((-10)\/2120).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -114, 2 in descending order.\nAnswer: 2, -3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3944 and 1336.\nAnswer: 658648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 910*q**2 + 34*q + 1439. Let p(c) = 303*c**2 + 12*c + 479. Let k(a) = 17*p(a) - 6*s(a). What is the first derivative of k(d) wrt d?\nAnswer: -618*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19198)\/9843 + 2 + 0. Let j be (5\/6755)\/(13\/182). Let g = j - s. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 - 120*w**2 + w + 33. Calculate the remainder when 42 is divided by l(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -8*q + 1430. Let l be 0 + 1\/(4\/(q - 2)). Suppose l = -7*k + 10*k. Solve -4*h + 7 = -k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (4 - 6 - -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872590 is divided by 58171.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:24 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 33*i**4 + 4*i**3 + 16*i**3 - 2 + 63*i**4 - 31*i**4 in the form w*i**3 + q + g*i + a*i**4 + m*i**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*u + 1 = 11, 0 = 128*x + 132*x - 259*x + 2*u - 14 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -69495 (base 15) in base 4?\nAnswer: -1101310331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:23 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + (-1 - 4 + 3)*(1 - 3 + 4) + 1 - 3 + 1 + 1 + 0 + 1)*(191*g + 97*g + 17701 - 17705 + g**2).\nAnswer: -4*g**2 - 1152*g + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-36) - ((-2)\/10)\/((-72)\/(-730))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.53 - -0.47. What is the second biggest value in d, 0.1, 2\/19, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4401*a + 5055*a + 24852 = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5961.\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3040*z**2 - 411 + 18441*z**2 + 411.\nAnswer: 21481*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3686.09 - -3686. Sort k, -3, -1\/4, 12.\nAnswer: -3, -1\/4, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4459.776cm?\nAnswer: 0.04459776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f. Let z be s(4). Calculate the greatest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-210)\/14 - -15)\/(6 - 3). Let f(s) = -s**2 - 2*s + 2. Let l be f(-2). Put 1, l, g, -3 in ascending order.\nAnswer: -3, g, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (800\/360)\/((-4)\/(-18)). What is the greatest common divisor of k and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(99) + sqrt(99))*2 - sqrt(99))\/sqrt(9).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 0.06, -2, -10, -5 in increasing order.\nAnswer: -10, -5, -2, 0.06, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5 - i**4 + 1 + 0*i - 2*i - 4*i**2 - 2*i**3 to l*i**2 + s*i**4 + t*i**3 + b*i + g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohf when three letters picked without replacement from {h: 2, o: 1, x: 1, z: 1, u: 1, f: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-112)\/(-11) + 14\/(-77). Suppose 11 = 3*p + 2*u - 4*u, 2*u - k = 0. What is the highest common divisor of 56 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 32. Give c(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -44455?\nAnswer: -44504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114055 - 81446. List the prime factors of l.\nAnswer: 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/7 + 6\/7. What is the nearest to 2 in -2\/7, r, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 9425493\nAnswer: -188509.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*t**5 - 4789*t**3 + 181327*t**2?\nAnswer: 540*t**2 - 28734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -8046796.4.\nAnswer: 2414038.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:39 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.2 + 7.6. Sort x, 1, -0.1 in descending order.\nAnswer: 1, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76269 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.30148 (c) -0.02 (d) 0.4 (e) -1 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11560 and 13005.\nAnswer: 104040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2112 and 592152?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1401, 6, 3, 9 in ascending order.\nAnswer: -1401, -8, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*t**2 + 65*t**2 + 0 + 1 + 7*t**3 in the form h*t + b + s*t**2 + y*t**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.563863m?\nAnswer: 4563863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 51821933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10011312 - 13?\nAnswer: -10011331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6052 from 5935.\nAnswer: 5934.3948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.917, 1, -5, -4, -1 in decreasing order.\nAnswer: 1, 0.917, 2\/5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 6. Let a(y) = y + 14. Let u be a(-7). Let k be p(u). Let t be -3 + k - (-1)\/(-1). Calculate the highest common divisor of t and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*c + 292*c - 261*c**2 - 746*c - 844*c.\nAnswer: -261*c**2 - 1247*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 219963.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -44*m**3 + m**2 - m - 1. Is 15 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzvv when four letters picked without replacement from {v: 1, z: 4, w: 1, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, -160, -459, -758, -1057?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 13*v**2 + 12*v + 4. Let a be s(5). Let k(b) = 2*b**2 + 30*b + 88. Let x be k(a). Is -2\/1137 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -8*m**3\/3 - m**2\/2 + 6*m - 6. Let q(d) be the first derivative of g(d). What is the tens digit of q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -2042222201?\nAnswer: -2042222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33834 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 1. Suppose 35*v = -8 - 30 - 172. Let f(i) = -2*i**2 - 8*i + 6. What is v*q(r) - f(r)?\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 611914019386029851 - 611914029512740736.00000053. Let o = 10126710997 + i. Let l = o - 112. Round l to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5842?\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 2 + 2*p - p**2 + 2*p**2. Let u be f(3). What is the greatest common factor of u and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -16 - (3 + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4315875 litres in millilitres?\nAnswer: 431.5875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 + g + 30. Let l be k(0). Suppose f = -0*f + l. Suppose -f = -2*z - z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 217*l**2 + 328*l - 215. Let n be p(-110). What is the fourth smallest value in n, 4, -3, 0.056?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 63.88 (b) 4\/123 (c) -1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*f - 351*f + 243 = 0. Solve 3 = -6*i + f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -0*i - 4*i. Let x(a) = 7*a - 279. Let w be x(39). Let v = 12 + w. Calculate the highest common factor of v and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3695, 5, 2\/7 in decreasing order.\nAnswer: 5, 2\/7, -0.1, -3695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972694 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:04 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**3 - a**3 - a**3 - 184*a**2 + 183*a**2. Let d be w(1). Suppose -2*q - 3*q + 32 = d*z, q - 22 = -3*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:36 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.927 - -0.117. Let l = p - -0.81000053. Round l to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - 10129333?\nAnswer: -10129292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a18a (base 15) in base 10?\nAnswer: 287230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22120 divided by 4424?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2*g)**(-2\/59)\/(g**(-1\/2))**(-5) assuming g is positive.\nAnswer: g**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -124263 divided by 18\nAnswer: -13807\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7720*c - 365711 - 347134 = -226485 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/2 - 53*u**3\/2 - 363*u**2 - 286*u + 676 = 0. What is u?\nAnswer: -26, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 - 3*n + 4. Let t(b) = 17*b**2 - 11*b + 17. Let x(j) = 2*t(j) - 9*w(j). Let o(u) = 3*u**2 - 9*u + 3. Give -4*o(q) - 7*x(q).\nAnswer: 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2 - 3*s + 0 + 0*s. Let n = 5 - 7. What is the units digit of q(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a6ca + -3?\nAnswer: 6a6c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 121202?\nAnswer: -121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + 5.11. Let o = -4 + 14. Let s = 39\/4 - o. What is the biggest value in s, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.076153 rounded to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 4*h + 14*s - 3264, s = -4*h + 3280. Calculate the greatest common divisor of 1386 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*s - 0 + 5 - 2, 2*i = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*b + 57, 907*b + 4*v + 101 = 916*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -18 + -6 - (-6 + -8 + 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1241355 + -331?\nAnswer: -1242016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000144234749 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from yosszzzzyyyoz.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88416262967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9913, 18508, 32841, 52918, 78745?\n\"Answer: l**3 + 2863*l**2 - l + 7050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) -0.1 (b) -1 (c) -88.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-7)*z)\/(z\/(z*z**(4\/3))*z)*(((z\/z**(-3)*z)\/z)\/z)\/((z\/(((z*z*z**(2\/29)*z)\/z)\/z))\/z) assuming z is positive.\nAnswer: z**(-52\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/14 - 2 - (-2)\/7. What is the highest common factor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5597 + 44713\/8. Find the common denominator of d and 23\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -29, -28?\n\"Answer: d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -236 (base 7) to base 5\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588989 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gruguullllglglguu. What is prob of sequence ur?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 7*c + 3*c + 3*c. Let m(d) = 12*d**2. What is m(j(o))?\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upnp when four letters picked without replacement from nnnppnpnnnnpnu.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q - 60. Let t(i) = -2*i**2 + 23*i - 30. Let u be t(10). Suppose u = 10*a + 15 - 55. Calculate the remainder when q is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 565, 2269, 5113, 9103, 14245?\n\"Answer: b**3 + 564*b**2 + 5*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + 58 + -169 + 27 + (3 - 1 - 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3593 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -770 + 442. Let x = z - -656. Let k = x - 175. Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 3*n + 4. Let m(b) = 2*b**3 + 3*b - 3. Calculate -4*m(j) - 3*s(j).\nAnswer: 4*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17119458827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2\/5)*p)*p)\/(p\/((p\/((((p*p**(2\/11))\/p)\/p)\/p*p))\/p*p)))**27 assuming p is positive.\nAnswer: p**(1809\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 69*d**5\/10 + 35*d**2 + 20*d + 1. What is the first derivative of n(k) wrt k?\nAnswer: 414*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/2*3128\/1012\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, 20, 2, 10, -43.\nAnswer: -43, -3, -2, 2, 4, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1014*u**2 - 2. Let j(y) = y. Give j(s(k)).\nAnswer: 1014*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by 2?\nAnswer: 169\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.9. Let i = 19 - 20. What is the closest to f in i, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.136 + 11. Let r = v + 10.136. What is the biggest value in 6, r, 0.5, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408955*a**2*g + 10590*a*g wrt a?\nAnswer: -817910*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.004864 + -48.893136. Let o = 48.97 + 0.03. Let c = d + o. What is c rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 271 - 257. What is the remainder when 39 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3379, 6723, 10035, 13321, 16587?\nAnswer: 19839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 o when four letters picked without replacement from wcwofwwwppowwfwowww.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(9\/(-21)))\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)*b**(3\/2) assuming b is positive.\nAnswer: b**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.596628 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1*6\/(-9)). What is the closest to -1 in 0.1, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -o + 3*v, 0 = -5*o - 3*v - 15. Let q be 1\/o - 13\/(-3). Let n be (-3)\/(7 + (-200)\/32). Put n, q, -5 in ascending order.\nAnswer: -5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 6:27 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.302 times 362.57?\nAnswer: -109.49614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -1\/60*r**5 + 0 - 39*r**2 + 2\/3*r**3 + 0*r - 5\/12*r**4. What is q(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 = -8. Suppose 0 = -h + o. Factor -6*k**3 + h*k**3 + 2*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1940028\nAnswer: -1\/485007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1602 in 0.2, 0.1, -1\/3, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:11 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5730036*r - 184*r**2 + 5730048*r - 11460084*r.\nAnswer: -184*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 19*y - 19. Let l be o(-18). Let d be -26012 + 0 + 3 + l. Is d\/(-54) + 2\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2686903 divided by -6\nAnswer: -2686903\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1253, -5018, -11293, -20078, -31373, -45178, -61493?\n\"Answer: -1255*h**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 3, 1 in increasing order.\nAnswer: -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.115 * 9\nAnswer: -1.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304))**2 + 0 + sqrt(1539)*-1.\nAnswer: -9*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.064 (b) -1 (c) 1\/3 (d) 1\/67895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 18728*b + 3 - 18817*b + (-b - 2*b + 2*b)*(4 - 3 + 0))*(-2 + 11 + 4).\nAnswer: -1170*b - 169","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22416 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -330140012?\nAnswer: -330140013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 0.5, 3, -3107 in decreasing order.\nAnswer: 3, 0.5, 0, -1, -3107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 5. Let m be h(-8). Suppose 4 = -c + m*c. Let r(q) = -4 - q**c + 5 + q - 1 + 8*q**3. What is r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 7*r**2 - 22*r - 18. List the prime factors of g(8).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r. Suppose -5*f + 62 + 8 = r. Let b = 8 + -6. What is the smallest common multiple of b and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692*x - 1694*x - 20 = -4*i, 0 = 2*x + 8. Which is the third biggest value? (a) 81 (b) 2\/17 (c) 2 (d) 1 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47313 = -9*y + 12*y. Suppose 26*l - y = 5*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**16)**(-32))**(-1\/25))**(-9))**34 assuming d is positive.\nAnswer: d**(-156672\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*a - 229*a = -3*l - 9, -4 = -2*l. What is the closest to 2\/5 in 71, 2\/19, -2\/9, a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*319\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 38e166?\nAnswer: -38e165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 46. Let x = -18 - l. Suppose -x*o = 4*t - 54, 1 = -4*t + 2*o + 65. Calculate the highest common factor of t and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*g - 11410 - 50431 = 0, -g - 7 = 0. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/113860 and -17\/2049480.\nAnswer: 2049480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o - 4*o)*(-2 + o + 2) + 4*o**2 - 3*o**2 - 2*o**2 - o - 2*o**2 + o + (4*o - 6*o + 3*o)*(4*o - 6*o + o) - 16 + 16 + 7*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tffwwffwffwwwwfwf. Give prob of sequence wtff.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 548, 2167, 4852, 8603?\n\"Answer: 533*z**2 + 20*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a = -4*r - 214, -29*a + 30*a = -2 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2646 - 2643. Solve -2*w + p*c = -w + 10, w - 4*c + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 4) to base 2\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141409530.\nAnswer: 2, 3, 5, 67, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 + -0.08. Let k = 1 - 1.5. Let v = -19\/5 - -18\/5. What is the nearest to -0.1 in h, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/21 and -121\/3522?\nAnswer: 24654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 5) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 1) + -5 + 33. Let k = l - 10. What is the highest common divisor of k and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/36 - (786\/(-21) - (-627 - -590))?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03865256 to four dps.\nAnswer: -0.0387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 - 215. Suppose c + 1 = -a, 0 = -4*a + 3*a + k*c + 15. Solve -a - 1 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 588, 1174, 1760, 2346, 2932, 3518?\n\"Answer: 586*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44841, 179248, 403263, 716892, 1120141, 1613016, 2195523?\nAnswer: 2867668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 295149117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 12*v**2 + 5*v - 14. Let o be b(12). Let k = 48 - o. Suppose -k*i = 5*i - 294. Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39816854.\nAnswer: 2, 7, 11, 258551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 37*w + 3749. What is a(45)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9569 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 34*h + 279. Let m be 35*(-4)\/8 - (-975)\/(-390). Give w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 175*p**2 - 340*p + 521. Let w(s) = -8*s**3 - 525*s**2 - 1020*s + 1564. Let g(f) = 11*d(f) - 4*w(f). Find r, given that g(r) = 0.\nAnswer: -15, -7\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**18*(p\/(p*p**10)*p)\/(p\/(p**(-4)\/p)) assuming p is positive.\nAnswer: p**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22228)\/(-111140)*(-10)\/47.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*n = 39*n + 169 + 83. What is the remainder when n is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-5)*i\/((i*i\/((i*i\/(i\/((i\/(i\/(i\/i**12*i)*i))\/i)))\/i))\/i))**(1\/77)*(((i\/i**(-1\/3))\/i)**(20\/9))**(-1) assuming i is positive.\nAnswer: i**(-1702\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 11*u - 1. Let b(g) = -3*g**2 + 10*g + 3. Calculate 2*b(t) - 2*z(t).\nAnswer: -4*t**2 - 2*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4475 - -8370. What are the prime factors of k?\nAnswer: 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 465 and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31113378*u - 12600809.\nAnswer: 31113378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (1 - -2) - -11. Suppose c*z + 148 = 8*z. What is z rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**3 - 7*m**3 + 16*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:01 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + m + 2, -2*m - 56 = -5*h - 52 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 0.26. What is the third biggest value in 0.4, -1\/5, 6, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 - 7*r**2 + 13*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075426459 rounded to 4 decimal places?\nAnswer: -0.0754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let a = -13 - -12. Let o be x(a). Round o to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3293 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/((-21)\/18) - 4. Let o = g - -10. What is the first derivative of -2 - 5*q**2 + 3*q**2 - q**2 + o*q**2 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 906 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -114*(0 + 3)*(1 - 4 - 8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108915 is divided by 3109.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17133025)\/(-1224))\/175 - 80?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/((n**(-1\/14)*n*n)\/n)*n)*n*n*n*n\/((((n**(2\/11)*n*n)\/n*n)\/n)\/n*n)*n)**36)**(3\/13) assuming n is positive.\nAnswer: n**(22842\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24594118139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 2*z)*(z + 4*z - 2*z)*(0*z + 6*z**2 + 0*z).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(5\/6)*z)*z**5*z*z*z\/z**15*z*z\/z**(-2\/17) assuming z is positive.\nAnswer: z**(-685\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*d - 42, -5*x + 151 = 10*d - d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*t + 528*t + 762*t - 32172 = 0 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/11)\/((-361088)\/277760).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62357710 divided by 10?\nAnswer: -6235771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -101130131 (base 5) in base 4?\nAnswer: -1210122123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 224433981 - 38?\nAnswer: 224433943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - (-189)\/36. Let f = 3 - q. Let x = -1 + f. Let k(y) = y**3 + 2*y**2 - 5*y - 3. Calculate k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 - 9*t**2 + 12*t. Let s be h(5). Suppose -3*w - d = 2*d - s, 0 = -5*w - 2*d + 347. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i - 9. Let a be u(-7). Let c = 22 + -11. What is the highest common factor of c and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -236, 1\/4, -5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 1685*w**4 - 7500*w**3 + 1260*w**4 + 405 + 5721*w**2 - 2700*w + 1029*w**2 + 180*w**4 = 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*z - 4 = 0, -2*z = -8320*d + 8308*d + 76 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -109, 13 in decreasing order.\nAnswer: 13, 4, 3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 33*q + 52 + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2627 - 13714?\nAnswer: -11065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x**3 + 3 - 6*x**2 + 16*x**2 - 15*x**2.\nAnswer: 44*x**3 - 5*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3515 (base 7) to base 11.\nAnswer: -a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -156506 (base 7) in base 13?\nAnswer: -1121c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((-1)\/((-7)\/21)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/151? (a) -24 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3528 + 3528.0428. Sort w, 0.5, 1\/5 in increasing order.\nAnswer: w, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3583?\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 35dd9?\nAnswer: 35ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)\/(s\/s**(1\/13)*s)*s**(2\/13)\/(s\/s**(2\/21)))**(-33) assuming s is positive.\nAnswer: s**(8030\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77504, 78562, 79620, 80678, 81736?\nAnswer: 82794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9612 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 820 and 574?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 10*p + 5. Suppose 5*i - i + p*t - 476 = 0, 2*i - 252 = t. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 73326*f**2 - 73326*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*l - 1919140 + 1918290 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(9 + 1903) - 11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1230 and 7626?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)\/(w*(w*w**4*w)\/w)*(w**2*w)\/(w**(3\/4)*w))**(-25) assuming w is positive.\nAnswer: w**(4475\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uulnxup. Give prob of sequence pn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712510?\nAnswer: 2, 5, 171251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 22*i**3\/3 - i**2\/2 + 42. Calculate y(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 12*n + 6. Let h be i(12). Is 5 a factor of (-40)\/(-7)*21\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**3 - 8*h**2 + 9. Let o(m) = 17*m**3 - 7*m**2 - 6*m + 8. Let a(l) = 2*l**3 - 3*l. Let v(s) = 2*a(s) - o(s). Give 6*n(d) + 7*v(d).\nAnswer: -13*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**2 + 91*a - 91*a + (-2 + 5 - 5)*(-4*a**2 + 6*a**2 - 3*a**2) as l*a**2 + p*a + s and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 46*r - 80 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/(t*t**(-2)))\/(t*t**(-1\/2)\/t)**(4\/9))**42 assuming t is positive.\nAnswer: t**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44 - 4718201?\nAnswer: -4718179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = 33*j + 319 + 439 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6993, 27983, 62967, 111945?\n\"Answer: 6997*c**2 - c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*133\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) -1\/2 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 696755596 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**10)\/h)\/h)**(6\/11)*(h*h\/(h**(-23)*h)*h)\/(h*(h\/((h\/(h*h*h**(2\/17)\/h))\/h))\/h*h) assuming h is positive.\nAnswer: h**(270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 22*t - 3 = -v, -3*v - 3*t - 21 = 0. Which is the closest to 3? (a) 0 (b) 5 (c) v (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-400)\/(-6)*(-1 + -2). Let d be (-15)\/g - 2\/10. Which is the third biggest value? (a) 0 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*j - 229*j = 1150. Calculate the greatest common divisor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240*a*p**3 + 4*a*p - 29*p**3 - p**2 + p - 35 wrt p?\nAnswer: 1440*a - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - c + 3, 2*d + 1440 = -2*c + 1450 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzzazzzaazasaz. What is prob of sequence az?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2302344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 7) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1097488 by 7.\nAnswer: -156784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425 a factor of 229381236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-585)\/63)\/((-4485)\/4830)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r - 73*r + 3024. What is the lowest common multiple of r and 60?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31053494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100\/3 - 34. Let p be (7 + 0)*(-216)\/1512. Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/525)\/((-5)\/35). Sort -0.4, q, -2 in ascending order.\nAnswer: -2, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 6*n**2 + 10 - 105*n + 90*n + 2.\nAnswer: 3*(n - 1)*(2*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/2 - 4*u**3 + u**2\/2 + 21*u = 0. What is u?\nAnswer: -2, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 10:48 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**2 - 56*y + 9831.\nAnswer: 6*y - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let g = 194 + -73. Let x = g + -607\/5. What is the nearest to o in 0.03, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -123 (b) 3\/5 (c) 1\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 24. Let a(s) = -5*s - 56. Let w(f) = 3*a(f) - 7*m(f). Let o(h) = 5. Calculate -o(i) + 2*w(i).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 612, 574, 468, 258, -92, -618, -1356?\n\"Answer: -6*o**3 + 2*o**2 - 2*o + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddndgddndddndddd. What is prob of picking 1 d and 3 n?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.96 times 44.07\nAnswer: -42.3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1273428 (base 9) to base 14\nAnswer: -142535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30024 divided by -8?\nAnswer: 3753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314005 is divided by 11214?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2350279 = 86*s + 251277. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 5*o - 14029 = 0, -3*o = 6. Is w\/(-9) - (-2)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 8 - 16*b**3 - 13 - 2 + 22. What is q(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 - -63. Let g = -34 - d. Let s(a) = -a**3 + 5*a**2 + 6*a + 6. What is the remainder when g is divided by s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -3\/4 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 449093 and 449093 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight sevenths of a week in days?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 6. Suppose 2*l - 4*v - 10 = -2, -v + 12 = -4*l. Let h(p) = 1. Let y(k) = l*h(k) + q(k). Let a be y(7). Solve 2 = -a*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65110*g + 32562*g + 32554*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3641*h**3*t + 8293*h**3*z**2 + h**3 - 37*h**2*t + h**2*z**2 + 123004*z**2 wrt h.\nAnswer: 21846*t + 49758*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znznzizzzezznenzeez. Give prob of picking 1 n and 2 z.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**6\/240 - v**5\/30 - v**4\/12 + 43*v**2. Factor t(f).\nAnswer: -f*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25507 + 2*v - 26*v**2 - 25518 - 10*v wrt v?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2238625 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) - -4*5\/6. Which is the closest to 4? (a) 0.5 (b) -2\/3 (c) -1\/6 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10559257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 4, -11, -32, -59, -92, -131?\n\"Answer: -3*w**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 89, 83, 75?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15158 + -7536. What are the prime factors of u?\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**5\/20 + 13*w**4\/12 - 5*w**3\/2 - 11*w**2\/2 - w. Let h be b(-14). Let p be (-8)\/((-8)\/h) + -1. Let s(v) = v - 2. Give s(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.76 - -123.76. Let d = 122 - b. Which is greater: -5\/7 or d?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1534 + -1522. Calculate the smallest common multiple of 6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/9 - 106*v**3\/9 + 52*v**2\/9.\nAnswer: 2*v**2*(v - 26)*(2*v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/2*q - 5\/2 + 5\/2*q**2 + 5\/2*q**3 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:00 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 8 + 4. Suppose -4 = -p*a + 8. Suppose -4*v - z + 50 = 0, 4*v - 38 = 2*z + a*z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 5*r**2 - 222*r + 2. Give t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 2*p + 4*p)*(0 - 1 + 6)*(1 - 3 + 3) as v*p + m and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004155 rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 139844*c**2 - 11*c + 139848*c**2 + 19*c - 3*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*u = -1230*u - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23032 + 23078.577. Round q to 1 dp.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53573 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: 1 + 4 + 22 + -3 + -7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 16\/(-4)) + -2. Solve -3*k + 4*c + 10 = 0, 7*c = -2*k + b*c - 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75714, -302827, -681348, -1211277, -1892614, -2725359, -3709512?\n\"Answer: -75704*p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/24 + 7*a**3\/6 - 365*a**2. Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 53410?\nAnswer: -53415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 b when three letters picked without replacement from {y: 1, a: 2, t: 1, b: 1, v: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 - i**2 + 14*i + 652. Let r(v) = -12*v**3 + 3*v**2 - 35*v - 1306. What is -2*r(b) - 5*z(b)?\nAnswer: -b**3 - b**2 - 648","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 83 = 2*v, 5*v - 255 = 12*q - 9*q. Solve -9*x - 9*x = v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + a**4 - 2*a**3 + 0 + 2*a + a**4 as d*a + q + k*a**2 + u*a**4 + h*a**3 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 + 2*u**4\/3 + 2*u**3\/3 + 45*u**2\/2 + 1701*u. Calculate t(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + d = 1, 2*g + 5 = -3*g + 3*d. Let f be g\/(-1 - (-6)\/9). Let a(m) = -m + 1. Calculate a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 14*z**2 + 32*z + 2. Let n be f(-16). Let k be n + 78 - ((-75)\/5)\/5. Suppose -k = -u + 61. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhpxxpxpxxpphpxpxh. What is prob of picking 1 h and 1 x?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12224309729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -5 (c) -9 (d) 0.2 (e) 7504\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 69001\nAnswer: 10\/69001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, -29, 5, -157 in descending order.\nAnswer: 132, 5, -29, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -36. Suppose 17*n - 10*n = 119. Suppose o*i + 63 = n*i. What is the highest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**4\/6 - 13*i**3\/6 - 4*i**2. Let y be b(4). Suppose y*a - 8 = 1. Solve -g + 8 = a*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = 192 - 66 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32 - 33)*(0 + -1)\/(-1). Let w be (f + -4)*(-31 - -30). Solve 5*k - 7 = -4*p - 35, w*p + k + 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/160 + 17*v**5\/240 - v**4\/32 - 17*v**3\/24 - v**2 + 199. Factor a(q).\nAnswer: (q - 1)*(q + 1)*(3*q + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-4.7.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -2) + (1 + 36 - -3) + -7.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 21. Let c be k(14). Suppose c = 3*z - 37. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4 = 3*y - 0, y = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8371, 8591, 8961, 9481, 10151?\nAnswer: 10971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017018 to 5 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**2 + 2114*s - 346. Determine d(176).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2)*(4 - 3). Suppose 2*k + j*b = b - 1, 0 = -b - 5. Let g(h) = -6*h + 2. Let a(y) = -7*y + 3. Let v(m) = 4*a(m) - 5*g(m). Determine v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*f - 544*f + 1137*f + 1337*f as i*f + l and give i.\nAnswer: 1745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teetttcctecehct. Give prob of picking 1 h, 1 c, and 2 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m + 1032 = 4*f, 4*f - 1044 = m. Let w = 2044 - 2035. Calculate the remainder when f is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 7. Let f = -9 + 9. Suppose 4*t - 11 = -3*a - f, -4*a + 6 = t. Let s(l) = 2. Let d(x) = t*o(x) + 6*s(x). What is the derivative of d(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 e when four letters picked without replacement from neeneqqeenee?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.0431, -0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8239?\nAnswer: 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/z**2))*z)**(-43)*(z\/(z\/z**9))**(-8))**6 assuming z is positive.\nAnswer: z**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278 + 278.4. What is the third biggest value in 0, 1\/7, h, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*v**4 - v**3 + v**4 + v**3 + (v + v - v)*(-v - 2*v**3 + v) + 2*v**2 - 2*v**2 - v**4.\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 2, 4\/9?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4*t + 7*t + (-9 + 27 - 8)*(6*t - 6*t + 4*t).\nAnswer: 47*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*w + 2*n - 16 = 0, 0 = 4*w - 4*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 174*z - 1. Let s be y(-88). What is the greatest common divisor of s and 35350?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o - 14*o + 13*o + 42*o as n + s*o and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 788193690 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001026155 rounded to 7 dps?\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -538, -2\/15, -3 in decreasing order.\nAnswer: 0, -2\/15, -3, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**2 + 5*h - 5. Let k(j) = 54*j**2 - 24*j + 24. Let q = 264 + -240. Let c(i) = q*r(i) + 5*k(i). Let v(n) = 16*n. What is v(c(u))?\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 98, -0.2, 0.1?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198461*k**4 + k**3 - k**2 + 68 wrt k?\nAnswer: 4763064*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 0, -2*p + 0*p + 3*m = -7. Let x(f) = 8*f**2 + f + 1. Let n be x(p). What is the highest common factor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52374?\nAnswer: 2, 3, 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 7. Let d(q) = -9*q - 12. Suppose h = 5*h - 28. Let b(x) = h*j(x) + 4*d(x). Let p be b(-3). Calculate the greatest common factor of p and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 29. Suppose -4*s + c = -6 - r, s = -3*c - 4. Find the third derivative of 28*b**3 - 3*b**s - 39*b**3 + 24*b**3 wrt b.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*212810.\nAnswer: -2128100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*v - 2435 = -461*v + 1679 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11 + 1 - 165*q + 10 - 33.\nAnswer: -165*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2106*v**4 - 396.\nAnswer: 8424*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + (-24288096)\/(-240). What is v rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + -3 + (5 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14115\/8469*(22\/(-8) + 1\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4*((-3)\/(-6) - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66334 + 21139. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 + 5*h**2 - 5*h. Let z(f) = -4*f**3 + 3*f**2 - 3*f. Let u(w) = w**2 - 14*w + 42. Let i be u(5). What is i*t(m) + 5*z(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4514 + -4334. What is the least common multiple of 192 and u?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 - z**2 + 3*z**2)*((-5*z + 5*z + z)*(-18 + 0 + 0) - 6819 + 6819 - 34*z) in the form n + f*z**3 + a*z**2 + r*z and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2327*q**2 + 8*q**6 + 10*q**6 + 2262*q**2 wrt q?\nAnswer: 2160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, 5, -1.2 in descending order.\nAnswer: 5, 0, -1.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*l - 15 = 0, 0 = -3*u - 10*l + 14*l + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 3\/2, -0.1, 4, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0951202 kilograms?\nAnswer: 95120200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*i**4 - 9*i**2 + 116361*i?\nAnswer: -348*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/396 and 49\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4))**(4\/3)\/(((a*a\/(a*a*a**0)*a)\/a)\/a)**(3\/35) assuming a is positive.\nAnswer: a**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1037 - -1066. Solve g*b - 236 = -62 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + 7 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.9 - -3.1. Let w = l + -20.29. Let f = -0.2900104 - w. What is f rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 421, 525, 639, 757, 873, 981?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + j + 4*j - 2)*(0 - 1 + 0).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 104*u - 105*u + 25, -3*y = -3*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95845728 + -28.182?\nAnswer: 95845699.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**5\/24 + 55*z**4\/18 - 105*z**3\/4 - 6075*z**2\/2 + 4777*z. Suppose d(r) = 0. Calculate r.\nAnswer: -10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104 in 3\/8, -564, 3.57, 0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - c**2 + c + 1. Suppose 44*h - 43*h + 10 = 0. Let y(j) = 12*j**3 + 34*j**2 + 44*j - 10. Let m(u) = h*s(u) - y(u). Let m(k) = 0. Calculate k.\nAnswer: -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97654\/35 + 2790. What is the smallest value in u, -0.1, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -411*q - 13 - 12 + 25 as i + l*q and give l.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53\/924 + 2\/77. Let g(j) be the first derivative of -1\/6*j**2 + 0*j + v*j**4 - 2 - 1\/9*j**3 + 1\/15*j**5. Factor g(q).\nAnswer: q*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1120, -1134, -1148, -1162, -1176, -1190?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1599591301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57a (base 12) to base 14.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t - 6. Suppose v + 4 + 0 = 0. Let s be y(v). Suppose -s*b = 3*b - 5. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.931 - 0.9310003886. What is s rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + m - 68 + 77 = 0, 12 = -3*q - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -11*o + 6*o, -2*r = 5*o - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 518, 1030, 1542, 2054, 2566, 3078?\n\"Answer: 512*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39, -42, -39, -24, 9, 66?\n\"Answer: v**3 - 3*v**2 - v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*p - 3, 683*p - 3 = 685*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 6.99. Let f = u - 3. Let o = -0.3 + 0.5. What is the third biggest value in -0.2, o, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let w(m) = -309*m**2. Calculate w(o(g)).\nAnswer: -309*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20*r - 259. Calculate the least common multiple of i(32) and 8.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -3. What is the third derivative of 7*b**w - 475*b - 12*b**2 + 475*b wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s**4 + 3\/70*s**7 + 0 + 0*s**5 + 10\/3*s**3 - 34*s**2 + 0*s**6 + 0*s. What is the derivative of i(t) wrt t?\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = 2866*i - 2827*i - 449 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2 + 9*x**2 - 7*x + 4*x**3 - x**3 - 2*x**3. What are the prime factors of v(-9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Let k(b) = -4 - 2 - b**y + 2 - 10*b + 9*b. Give k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 88 (b) -3\/5 (c) 10 (d) 0 (e) 3.3 (f) -3\/4 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3738917?\nAnswer: 7, 13, 181, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143256519.2099341 - 143256530. Let n = a - -10.79. Round n to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2753*x - 68823. Give r(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 43176?\nAnswer: 43181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 4*o**2 + 4*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**2 + 4*q - 2. Let l be a(2). Let s = l + 67. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 12:50 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m. Let p(h) = 18*h**2 - 2*h + 57. What is i(p(a))?\nAnswer: 54*a**2 - 6*a + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z + 5014. Let x be u(-13). Is 4906 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(2 - (-29)\/(-16)))\/1. Let a = f + 20. What is the second derivative of 9*l - 5*l + 3*l**4 + 6*l - l**a wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/3 + 39343*s\/3 + 157388\/3 = 0. What is s?\nAnswer: -4, 39347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = -36. Let y(u) be the second derivative of -u**4\/12 + 13*u**3\/6 - 11*u**2\/2 + 2*u + 183978. What is y(g)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122\/6 + (-10 - -1) is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*(51 - 17622\/330)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14658 greater than or equal to -14658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeffee. Give prob of picking 2 e and 1 f.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 14*n**2 + 4*n + 2. Is y(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2282*i + 304 = -2301*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316391 is divided by 105447?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 21*b**2. Let t(g) = 13*g + 10*g + 15 - 32 + 17. Determine o(t(f)).\nAnswer: 11109*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7052126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 + 2*n + 1 - 2 - 7*n**2 + n**3. Let j be i(3). Let x = 5 - j. Is x smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13098274061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5452*y - 5285*y = 6012 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4537\/9 + -18013\/36. Factor 3*i**2 + 3\/4*i**3 + w*i + 3\/2.\nAnswer: 3*(i + 1)**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*u - 10 = 0, s = -4*u + 8 - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/2215 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9472 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -563*f**4\/2 + 2*f**3\/3 + 3217*f**2\/2 - 3594. Find the second derivative of b(u) wrt u.\nAnswer: -6756*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394 a factor of 1723562755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-20) + 1 - 3. Let j be (-1)\/(-2) + 6\/4. What is the nearest to j in -2\/3, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19064 less than 7328?\nAnswer: -11736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -12200*m**2 - 4*m + 4. Let b be c(1). Let p = b + -804. Let v be (-24)\/12 - p\/2. What is v rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (14 - (-49 + 98)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31490.7 + 31491. Let y = -0.4 + -0.1. Put y, 17\/3, l in descending order.\nAnswer: 17\/3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a - 3*a)*(1 - 6 + 3) + (-4 - 3 + 5)*(70*a - 78*a + 41*a).\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 833, 1693, 2527, 3323, 4069?\n\"Answer: -2*h**3 - h**2 + 877*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44\/441 + -6\/49. Suppose f + 0*p + 5*p - 21 = 0, -p + 7 = 3*f. Which is the third biggest value? (a) f (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/3))\/((p\/(p**(8\/3)\/p))\/p))**(-9\/4))**(-24\/7) assuming p is positive.\nAnswer: p**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 35315.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.94 - 38.16. Let i = -40 - b. What is the nearest to -0.01 in i, -3, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(2*3\/(-66)). What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 18}. What is prob of sequence aar?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 25 = s. Suppose -3*d + 4*z + 46 = 0, -3*z + 18 = -0*d + 3*d. Calculate the greatest common divisor of d and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v**2 + 13*v - 158. Calculate m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*a = 1, 3*m + 0 - 7 = -4*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(20\/(-192)*(-104)\/260).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8571.986 kilograms to milligrams.\nAnswer: 8571986000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*w**3 - 62*w**3 - 7*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 379\/13 - 29. Let j = 4 + -3. Let y = 8.1 - 4.1. Which is the nearest to j? (a) y (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffffsfqteootqqfef. Give prob of picking 3 f.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -37 - -13) + 26 + 1 + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 49*h - 5 + 3 + 321*h.\nAnswer: 272*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 + -154. Put -2, 2, s, -1\/10 in descending order.\nAnswer: 2, -1\/10, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120022010 + 202?\nAnswer: 1120022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 722213644 take away -33.77?\nAnswer: 722213677.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7*k)\/(k\/(k*k**5*k)))\/((k*k\/k**1)\/k)**(-5\/7) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11421?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.37 + 0.17. Put -2, 2\/11, b, 3\/5 in descending order.\nAnswer: 3\/5, 2\/11, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.3. Let q be (-3)\/(-15) + 28\/35. Which is the nearest to 0? (a) 0.3 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-7)*d)\/(d*d\/d**(-3\/7)*d*d*d)*d**(-2\/3)*d**(-4) assuming d is positive.\nAnswer: d**(-296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-92))\/((-4)\/(-12386)). Let v = o - -269. Let t = v + -16\/115. Which is the third biggest value? (a) -4 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*o - 3, 4*o - 3*a - 7 + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/55 and -4\/1655.\nAnswer: 18205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(119) + sqrt(119) + -2*sqrt(119))*-6 + (sqrt(119) + sqrt(119)*2)*3)\/(-4*(-5*sqrt(28) - sqrt(7))).\nAnswer: 9*sqrt(17)\/44 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(17) + sqrt(17) + -2)*-1*-1 + -5 + (-6*-1*sqrt(153) - sqrt(153) - (sqrt(153) + (-5 + sqrt(153)*1 - sqrt(153)) + sqrt(153))))*-1)**2.\nAnswer: -66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272\/(-235) + (-30)\/705.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*h = 8, 5*f - 4*h + 30 - 4 = 0. Let u(c) = 168*c - 8216. What is the remainder when ((-4)\/5)\/(f\/225) is divided by u(49)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 2335783059494.8?\nAnswer: 2335783059499.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2389855 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*v - 195*v + 317384 = -1623940. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 19) + -19 + -16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = s - 4. Let v be (0 - 4) + 3 + (-40)\/(-1). Suppose 9*z - 102 = -v. What is the remainder when s is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*u + 66 + 187 = 0, 0 = 2*v + 2*u - 530. Calculate the highest common factor of v and 162.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 1, z: 2, u: 1, x: 5}. What is prob of sequence uebz?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = -2*m - 24, -156*x + m = -159*x - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 1:12 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*c**2 + 106*c**2 - c**3 + 3*c**4 - 337*c**2 + 102*c**2 - 2*c in the form g*c**3 + v*c**4 + s*c**2 + a + d*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**5\/60 + 4*v**3\/3 + 21. Let c(q) be the third derivative of j(q). Calculate c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqqqoooqqqo. Give prob of picking 3 q.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:56 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -20. Suppose -w*t + 20 = -5*t. Calculate the remainder when 39 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9299, 18347, 27423, 36539, 45707, 54939?\n\"Answer: 2*j**3 + 2*j**2 + 9028*j + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {g: 3, r: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 546 + -544. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 + 6 - (0 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510.322 nanometers to micrometers.\nAnswer: 0.510322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = 4*q. Let j = -13 - q. What is the second biggest value in 5, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**2 + 4*f - 35. Let h(m) = 13*m**2 - 7*m + 35. What is 3*h(l) + 4*y(l)?\nAnswer: -l**2 - 5*l - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (sqrt(384) - -3*sqrt(384)*-2) + sqrt(384))\/sqrt(12) + (-4*(sqrt(48) - sqrt(12)) + sqrt(12))\/((sqrt(24)\/sqrt(2))\/sqrt(2)).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74.5 + 152.9. Round w to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 14553?\nAnswer: -15004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 34604164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 833667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - 354. List the prime factors of ((-6)\/6)\/1*h.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 1, 95, -4, 2\/73?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s**(2\/21)*(s**8\/s)**(18\/11))**16 assuming s is positive.\nAnswer: s**(2032\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 114, -5, 2 in increasing order.\nAnswer: -92, -5, 2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*(-5)\/((-825)\/20)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -340134 <= 467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89033950 is divided by 387.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/11 - 1) + (-5604)\/(-33). Suppose -145 = -p - 3*q, -5*p + g = -4*p - 2*q. What is the lowest common multiple of 4 and p?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 + 6150365*s**3 - 15*s**2 - 18451085*s + 12300730 = 0.\nAnswer: -1230073, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from vlvollrllllrlalvl.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from jjjjxjjjjjjjjjjjxjjj?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75454 is divided by 559?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11412 divided by -129?\nAnswer: 3804\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 7 + (-3 - (-28)\/(-7)). Solve n = -8*i - 0*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.09 - -8.29. Which is smaller: t or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqddqdddaqqdqddddqqq. What is prob of picking 1 a and 1 q?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -3 - (75 - -32)) + -5 + 16.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80860 and 1380.\nAnswer: 5579340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/76)\/(2\/4)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -122 and -122 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449664?\nAnswer: 2, 3, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 43 + 125*l + 142*l + 83.\nAnswer: 267*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*a + 511 - 489, -32 = 2*h + 2*a for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 343\/(-98)*342\/(-266)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 64. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4736.\nAnswer: 1\/4736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12707, 25483, 38259?\nAnswer: 51035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 + 0)\/(-1))\/(-1). Let u(f) be the third derivative of 139*f**6\/120 - f**5\/60 + f**3\/6 + 5*f**2. Is u(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.02 + 1. Let v = -0.12 - w. Let m be (17\/(-10))\/(16\/(-40)) + -4. Which is the second biggest value? (a) m (b) v (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2720*t - 85. Let g(w) = -160*w - 5. Let n(x) = 35*g(x) - 2*h(x). Differentiate n(u) wrt u.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5679532 millimeters to kilometers.\nAnswer: 0.0000005679532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 = -5*l + 4*w - 78, 0 = 5*l + w - 729. Calculate the remainder when l is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + 3 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7379, -29515, -66407, -118055, -184459, -265619?\nAnswer: -361535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*d = -6, 2*t - 3*d + 10 = 2*d. Let g be (-5)\/5*(-4)\/26. Are t and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.251035 to 3 decimal places.\nAnswer: 0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -17, 3 in increasing order.\nAnswer: -17, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/526731 and 109\/6?\nAnswer: 1053462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**6\/v)\/v)\/v)\/v*(v*(v*v\/(v*v\/(v\/(v*(v*v**(-5))\/v*v*v)*v)*v))\/v)\/v)\/(v\/(v*v*v**(-2\/9)*v)*v)**(1\/3) assuming v is positive.\nAnswer: v**(115\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 93, -6\/11, -5\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - -8) - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141)\/(-94)*20\/(-18)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, -17, -81, -203, -401, -693, -1097, -1631?\n\"Answer: -3*d**3 - 2*d**2 + 3*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15001 - 74756\/5. Let a = p + -51. Let x = 3.24 + -0.24. Put x, a, -1\/3 in descending order.\nAnswer: x, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 0)*(15\/9 - 1). Solve -12*p + i + 15\/2*p**2 - 3\/2*p**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*f - 9 = 86*f. Suppose 2*p - 3*m = -6, -f*p + 7*m - 3*m - 8 = 0. Factor 0 + p*w - 4\/3*w**5 + 4*w**4 + 4\/3*w**2 - 4*w**3.\nAnswer: -4*w**2*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {e: 2, c: 2, i: 2, d: 4, s: 3}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9801.817 decades in millennia?\nAnswer: 98.01817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 835 + -838. Sort v, -4, -1 in descending order.\nAnswer: -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g. Suppose 4*k - 16 = -148. Let j be k\/(-5) - 6\/10. Let u(p) = -j + 4 + 2 + 2*p. Determine q(u(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11760*l**3 + 5870*l**3 + 5888*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*n**2*y**3 - 22148839*n**2 - 3086596*y**4 + 11 with respect to y.\nAnswer: -51*n**2*y**2 - 12346384*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358835 is divided by 32617.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -30*f**2 - f - 1. Let m be z(5). Let k = -391 - m. Let b(y) = 184*y - k*y + 187*y - y**2. Determine b(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-43 - -51) + (-1 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 128695, 128680, 128665, 128650?\n\"Answer: -15*x + 128710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 + 82 - 52)*(2*l**3 + 0*l**3 - l**3) to d + q*l**2 + p*l**3 + b*l and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.46461549234?\nAnswer: -0.96461549234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113232213010 - 30?\nAnswer: -1113232213100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1927787\/8 + 241306. Let p = l + -332. Calculate the common denominator of (-2)\/9 + (-3)\/594 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 334*a**3*o**3 + 6*a**3*o + 48155*a**3 - a**2*o**3 + 3*a*o**3 - 3*a*o**2 - 5*o**3 wrt o.\nAnswer: 2004*a**3 - 6*a**2 + 18*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(325) + -3 + 2 + (-5 + sqrt(325) + 2)*6)**2.\nAnswer: -1470*sqrt(13) + 16366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**37)**(-50))**37 assuming j is positive.\nAnswer: j**(-68450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8*q + 25 = 0. Suppose 0 = 2*s - 2*l - 2*l - 84, -q*s = -2*l - 242. Suppose 5 = 5*w - s. What is the remainder when 30 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = 0. Suppose j = -6*s + 2*s - 12. Calculate the least common multiple of 8 and ((-81)\/(-3) - 4) + s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhehhhhhhheeehhhhheh. Give prob of sequence hheh.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.256081592 to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/21)\/((-3)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + q + 41 - 30, 3*p + 6 = -3*q. Which is the fourth smallest value? (a) -1 (b) p (c) -2 (d) 98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 1\/6*w**3 + 1\/2*w**2 - 2*w + 0. Let p be o(1). Solve 0 = -p*g + l + 8, l = 4*g + g - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3589 - 20*c**3 + 7175 - 3586.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240463 is divided by 46.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*n**2 - 19*n**2 - 3*n**4 - 9*n**2 - 12*n**5 wrt n.\nAnswer: -720*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -15. Let p be 1\/(g\/(-20) + -1). What is the nearest to -1 in p, 0.3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42132 and 132129463?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6707.807 - -6703. Round m to one dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 11, -45, 6.\nAnswer: -45, -5, -2, 1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*d - 9 + 11*d - 408*d + 1889*d**3 - 1888*d**3 with respect to d.\nAnswer: 3*d**2 - 455","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.32 + 0.12. Let o = 14.2 + j. Let v = o - 13.53. Round v to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155616*f**3*p - 15*f**3 - 2452*f - 1 wrt p.\nAnswer: -155616*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 2*z**2 - 42*z + 54. Calculate o(8).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 28 = -8*q. Let r(n) = -n**2 + 4*n - 8. Let x be r(q). Let f = -79 - x. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69262 rounded to two dps?\nAnswer: 2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 (base 11) in base 15?\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5345175*w**4 + 591711 wrt w?\nAnswer: 21380700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246 - 22*o**3 - 2361 + 1115.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 508032.\nAnswer: 508032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -969 - -4332. Is (1*u - 0) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-70)\/(-42))\/(5\/2). Put 3.6, l, 1 in ascending order.\nAnswer: l, 1, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12050 - 14?\nAnswer: -12104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3668*w - 122*w**3 - 3668*w)*(-w - 4 + 4) + 2*w**4 - w**4 - 15*w**4.\nAnswer: 108*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9 + 31 = 0. Let x(k) = 65*k**2 + 4*k + 2. Calculate the remainder when x(-1) is divided by (n + -24)*2*-1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 24*q - 28. Let u be x(9). Which is the nearest to 3\/5? (a) -2 (b) -0.5 (c) u (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/9 and 6\/(-36)*(1269\/142)\/9?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*x**4 - 1125*x**3 - 4595*x**2 - 6375*x - 1260 = 0. What is x?\nAnswer: -7, -3, -4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 6) in base 13?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 2*d + d**5 + d + 2*d - 2*d - 6*d**5 + (d - d - 2*d**3)*(-d + 2*d**2 + d) + 2*d**5 + 5*d**2 - 5*d**2.\nAnswer: -9*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 53 = 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4623 and 138?\nAnswer: 9246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 greater than -2232\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 16 + -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3114237 - 728763. Round y to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*c + 11*c**2 - 41*c)*(c**3 + c**3 + 0*c**3).\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005634468 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34949216 divided by -2?\nAnswer: -17474608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-108)\/(-14) - ((-126)\/49)\/9. Suppose -u*m - 60 = -596. Solve 27 - m = 10*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a + 0 + 19\/30*a**4 - 15*a**2 + 37\/15*a**3 + 1\/150*a**5. Factor w(p).\nAnswer: 2*(p + 1)*(p + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 7*x**2 + x + 3. Let w be u(7). Let a be 1 + w\/(-4)*-2. Find the common denominator of -77\/12 and 182\/(-36) - a\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -14333518689\nAnswer: 14333518689.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/7 - (-909)\/7. Suppose -2*o + 100 = -n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 6:46 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 286 + -765. Let j = k + 479.02. Which is greater: j or -23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in hours?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45459 (base 12) in base 6?\nAnswer: -1550553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132910.7 kilograms in tonnes?\nAnswer: 132.9107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4214.95 minutes in nanoseconds?\nAnswer: 252897000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1528*z - 1 - 1 - 203*z.\nAnswer: 1325*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2808434244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 4. Let y(p) = -3*p - 8. Let n(w) = 10*x(w) - 4*y(w). Let q be n(9). Let v = q + -3. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 38*q + 5*n - 25794 = 0, -10 = 5*n. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116 + 116 - 11*w)*(w - 2*w + 0*w) + (3*w**2 - w**2 - w**2)*(4 - 2 + 0) - 2*w**2 - 3*w**2 + 7*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.45 rounded to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 51172472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 64*h**2 + 10*h**4 - 351*h**2 + 41 - 9*h**4 as c*h**4 + u*h**3 + d*h**2 + f*h + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -3*g + 47, -3*g = -15. Which is the smallest value? (a) -0.5 (b) q (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 7. Let s(t) = -t - 59. Give -2*b(w) - s(w).\nAnswer: 7*w + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - 1?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 - 2*w - 142*w**2 + 115 - 69)*(3 - 2 - 2) + (-w**2 + w**2 + w**2)*(-1 + 2 + 0) to the form j + o*w + x*w**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148458139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from jjjejjeejjjjjjeejjj.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*s - 2 - 2, 0 = 4*s + f - 7. Sort -0.7, -4\/3, s, -5 in ascending order.\nAnswer: -5, -4\/3, -0.7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 12. Let p(b) = b**3 + b**2 + 4. Let v be p(0). Suppose -3*n + 5*s = -5 - 9, 0 = -2*n + v*s + 8. Solve -z*q + n = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 17 - 5. Let t(l) be the third derivative of 0*l + 2*l**2 + 1\/6*l**j + 0*l**4 + 0 - 1\/60*l**5. Factor t(m).\nAnswer: -(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 386520276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from lllljjlllljllj.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 190374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 - 4*o**5 + 4*o**5 + (o**3 - 2*o**4 - o**3)*(-2*o + 3*o - 2*o) + 4*o**5 - 4*o**5 + 2*o**5 + o**5 - 2*o + 2*o.\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*a**3*c**4 - 88947*a**3*c - 12159934*a**3 + a*c wrt c.\nAnswer: 196*a**3*c**3 - 88947*a**3 + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 1. Let f(q) = -39*q + 9. Let d be (-99)\/(209\/19)*(-3)\/1 + -6. Calculate d*y(l) - 2*f(l).\nAnswer: -6*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 6:33 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnnnlklprprlpnnp. Give prob of sequence nnn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.062 (b) -1\/5 (c) 3 (d) 0.9176 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 13*f**2 - 13*f - 10. Let w be z(14). Solve 0 = -u + w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, 1621, 4370, 9717, 18526, 31661, 49986?\nAnswer: 74365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217090 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15212 = -127*p + 144*p - 105. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 11120 + 3728. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, 1\/4, 30, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90433, 90432, 90431, 90430, 90429, 90428?\nAnswer: 90427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53313795?\nAnswer: 3, 5, 131639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m - 12. Let u be -1*3\/(m + 0). Is u <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6*k + 2*l - 40, 0 = -3*l - 6. Suppose -2*c = -k - 23. Calculate the remainder when 99 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11373 = 209*z - 22748 + 11375 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*a**2*o*p**3 + a**2*p + 4*a*o*p**3 + 12*a*p**3 - 2*o*p wrt a.\nAnswer: 112*o*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186739 is divided by 296682.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g - 14. Let t be j(-4). Solve -t*z - 2 = 2, z = 2*a - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2227529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31092 - -31097. Solve 21 = -3*o - 3*k, 0 = -5*o + h*k - 6 + 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 - 92245*b - 409229990 = 0 for b.\nAnswer: -11026, -7423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 14. Let j = 7 - z. What are the prime factors of (10 - 0)*(j + 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 - 2*l**2 + 2*l + 2. Let g(j) = -j**2 + 7*j + 95. Let t be g(14). What is v(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.867 nanometers in meters?\nAnswer: 0.000000018867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/10*(-308)\/33\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 4*u - 7. Let z be x(-5). Let i = z - 54. Let f = -43 - i. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-2*j + 7*j - 8*j)*(-39 + 64 + 83 + (-2 + 0 + 1)*(-2 - 2 + 2)).\nAnswer: -330*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.979 + 11.049. Which is the third smallest value? (a) -3\/7 (b) 0.4 (c) v (d) 5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.43811 to 2 decimal places.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -298558232*u**2 + 223564897 wrt u?\nAnswer: -597116464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -v - 1. Let q = 1.73 + -0.23. Let l = q - 1.4. What is the nearest to 2\/3 in v, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2955*-52779\nAnswer: -15596.1945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/10*-2*1. Suppose 2*v - 4*j - 8 = 0, 24 = 3*v - 3*j - 3. Suppose v*w - 8 = 10*w. Solve -5 = -4*f + 5*x, 3*f - w*f = d*x - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8855919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 0 + 4 - 7. Let l be c(-4). Let t(s) = s**3 - s**2 + 1. Let r(y) = -7*y**3 + 5*y**2 - 5. Let w = 2 + -1. Determine l*t(x) + w*r(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228566 divided by 17582.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -6*(1*sqrt(85) + sqrt(85)))\/(sqrt(125) + (-1*sqrt(125) - sqrt(125)) - sqrt(5))*1.\nAnswer: 11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30190184 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**19\/a**21)\/((((a**(11\/6)\/a)\/a)\/a)\/(a\/(a**(-17\/4)*a*a))))**16 assuming a is positive.\nAnswer: a**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.391356 + -0.15\nAnswer: 0.241356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 + 166. Suppose -3 + 4 = -r. Sort 5, r, m in decreasing order.\nAnswer: 5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 60486.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/272*60*2*(-6)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503\/5 + 101. What is the third smallest value in 2\/13, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 2, 2\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -749 and -750 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -b - b - 18, -2 = 5*x + 3*b. Suppose j - 19 - x = 0. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h. Let m be (-36)\/48*40\/(-15). Let l be 2\/(-1)*(-2)\/(-4). Let s(o) = 5*o**2 - 2*o. Give l*s(g) + m*r(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 18*f + 6 + 3*f**2 - 20*f. Is 8 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:16 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 2:33 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 568432460 to the nearest one hundred thousand.\nAnswer: 568400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**4 + 40*g**3 - 29*g**2 - 67*g. Let f(o) = -44*o**4 + 220*o**3 - 160*o**2 - 368*o. Let d(h) = 5*f(h) - 28*y(h). Factor d(l).\nAnswer: 4*l*(l - 3)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-218)\/(-30))\/(68\/10) and (-544)\/(-27) + (-91 - -84 - 12)?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 25*g**2. Let k be c(2). What is the smallest common multiple of 12\/3 - k\/(-5) and 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77947 is divided by 6493.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 86, 84, 78, 68, 54, 36, 14?\n\"Answer: -2*x**2 + 4*x + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2. Let k(f) = 6*f**2 + 8. Let g(s) = -4*s**2 + 2. Let o(y) = 11*y**2 - 5. Let l(d) = -8*g(d) - 3*o(d). Let c(q) = -k(q) - 8*l(q). What is r(c(t))?\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:20 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 6\/4*372\/9. Let f = -61 - k. Suppose 2*r = n - 13, r = -f*n + 1 + 3. Which is the fourth smallest value? (a) 1\/2 (b) -2\/11 (c) r (d) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = -69. Suppose 4*c = -s + m, -5*c = -2*s - 2*s - 13. Let x be 2*(-1)\/2 + 13. Calculate the greatest common factor of x and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(475) + 1 - sqrt(475)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3 - 9*o**2\/2 - 12. Find k such that l(k) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 1)*(77 - 16*m - 140 + 72) to the form v + b*m and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 3*x - 9. Let h be j(0). Let p(r) = 60*r**2 + 50*r + 7. Is p(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose 0 = t + 2, 3*k + 14 = 5*k - x*t. Let f(s) = -s**2 - 6*s - 4. Let g be f(-4). Is k > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - 3*n**3 + 5*n**3 + (0*n + 0*n - n**2)*(-3*n - 3*n + 7*n) + 5 - 4*n**3 - 5 + (7 + 18 + 38)*(-n**2 - n**3 + n**2).\nAnswer: -69*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -17 + 19 - 101) + 4 + 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 4.24475808465334.\nAnswer: -3.74475808465334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 40, 86, 160, 268, 416, 610, 856?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + (-8 - -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120200201 + 120001101?\nAnswer: 1010202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9132c + 1?\nAnswer: 9132d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 1316\nAnswer: 6580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -1. Suppose -2*q + q + u = 0. Let o = -3 + 1. Put -3, o, q in descending order.\nAnswer: q, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*v - 339, -v - 3 = -2. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(180) + -1 + sqrt(720) + 3 + -1)**2.\nAnswer: 36*sqrt(5) + 1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.7 - 2.3. Let r = n + 8. Let m(t) = t + 15. Let q be m(-10). Which is the closest to 1\/3? (a) q (b) 2\/15 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 13. Let l be p(-6). Let t(n) = -12*n + 147*n**2 + 3*n + l - 4 + 7*n. Does 24 divide t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 3*n - 4*n. Suppose o - n = -2. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 252 - 697 = 0. Suppose 0 = 3*i - 0 + 69. What are the prime factors of 3\/(4 + b\/i)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0151*-15\nAnswer: -0.2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1136432*c + 19360. Let f(q) = 1936*q - 33. What is 1760*f(a) + 3*o(a)?\nAnswer: -1936*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 0*u + 15 = 14*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 19*w - 20*w + a, 0 = -2*a - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336625 rounded to the nearest ten thousand?\nAnswer: 5340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -435.39 and 2?\nAnswer: -870.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1965.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsu when three letters picked without replacement from iiufufqs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*682\/93?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60540 - -2?\nAnswer: -60538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528403509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4633 divided by 2\nAnswer: 4633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4, 11\/5, -0.4, -0.05 in decreasing order.\nAnswer: 11\/5, 2\/5, -0.05, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997 = -803*h - 7836 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a factor of 128713325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**4 - b**3 + b - 1. Let h(a) = 38*a**4 - 140*a**3 + 84*a**2 + 11*a - 7. Let d(y) = -2*h(y) + 14*o(y). What is w in d(w) = 0?\nAnswer: -2\/45, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*m - 5 + 3, -15 = 5*q - 5*m. Suppose -28 = -13*l - q. Let s(v) = 77*v - 16 + 3*v**2 - 76*v - 4*v**l. What is s(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 - 18546*s**4 + 14*s**3 + 129810*s**2 - 111276*s = 0. What is s?\nAnswer: -9273, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 1, -2, -3.\nAnswer: -3, -2, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(-7 - 5). Let t be ((-6)\/(-4))\/(j\/12). Let u be (t + 4 - 4) + 4. Calculate the greatest common factor of 11 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -56524, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 21*q - 13. Let z(o) = -o**2 + 7*o + 4. Let j(h) = 4*b(h) + 11*z(h). Calculate the remainder when 19 is divided by j(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839132, 839121, 839110, 839105, 839112, 839137, 839186?\nAnswer: 839265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 705314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 40, -4 in descending order.\nAnswer: 40, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 2. Suppose 3*p - 3*z - q = 0, -5*p + 4*p = 3*z - 16. Calculate the highest common factor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndxoxnnxxnnzeon. What is prob of sequence oz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629482359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -3, -557, 34 in ascending order.\nAnswer: -557, -30, -3, 34","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 38 + 52 = -5*z, -4*z = 3*n - 89. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1580 - 53*o**2 + 15*o**2 + 3*o**2 + 2948*o + 2572*o.\nAnswer: -5*(o - 158)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 78 (b) 0.3 (c) -0.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -269 divided by -5\nAnswer: 269\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhrchrrcrrc. Give prob of picking 2 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y - 3010 = -113*y. Calculate the highest common factor of y and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -7*y**4 - 41*y**3 + 13*y**2 + 41*y - 6 = 0.\nAnswer: -6, -1, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 13*b + 9. Suppose -r + 0*r - 7 = 0. Let v be w(r). Solve -v*z = -6 - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1620 and -59\/9315?\nAnswer: 37260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 3. Let h be g(-1). Suppose q + 7 = 2*n, -h*n = -0*q + 3*q - 19. Suppose -8 = x - n*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*52\/273)\/(4\/(-98)))\/((-3)\/9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/4))**(6\/23)*g**(-2\/53)\/(g**0\/g))**(2\/133) assuming g is positive.\nAnswer: g**(2823\/162127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 6. Let m be g(0). Let x be (3 - 3) + m\/(-15). Put 0.5, x, 3\/5 in descending order.\nAnswer: 3\/5, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1395619, 5582374, 12560299, 22329394, 34889659, 50241094?\nAnswer: 68383699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2\/2 + 6*y - 3. Let n be b(6). What is the third derivative of -10*o**2 + n*o**6 - 7*o**2 - 4*o**6 wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.06, -9532.42 in ascending order.\nAnswer: -9532.42, 0.06, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30090 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 279, 466, 701, 984, 1315?\nAnswer: 1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:23 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -741*p**3*x**2 + p**2 + p*x - 33*x**2 - 6*x wrt p.\nAnswer: -4446*p*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 5*q - 8 = 0, 5*p - 8 = 3*q. Let l = 0 + p. Solve 4*n - 28 = -4*s, 0*s - 4 = l*s - 4*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 40?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05226 greater than 240\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 43*j**2\/2 + 3332. Let b(q) = 194*q. Determine l(b(x)).\nAnswer: 8342*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 42, 5, -18 in descending order.\nAnswer: 42, 5, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3162?\nAnswer: -3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236458 and 815842.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2 + 1)\/(2\/4). What is the tens digit of 2*(5\/(-10))\/(l\/179)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - g**2 + 2*g**2)*((1 + 3 - 3)*(5 - 5 + 2*g) - 2*g + 0*g - 12*g) in the form c + b*g + i*g**3 + d*g**2 and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:48 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + 33927*y**2 - 373294*y + 814512 = 0. Calculate y.\nAnswer: -33938, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 4*j + 251 + 4*j**2 - 249 - 4*j**2 in the form i*j + t*j**2 + z and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*s - 316528 = -26*s + 41672. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -4*f - 164, 4*h + 38 - 261 = -4*h + f for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 36. Which is greater: t or 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 11*m + 6. Let t = -33 + 22. What is the units digit of o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + u + 8, 3*u = 4*k + 13 + 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p + 5*p + 3*p)*(-p**2 + 0 + 1 - 3).\nAnswer: 3*p**3 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001 (base 2) in base 9?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-5) + 176\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 420. Let p(r) = -5*r + 423. Calculate 6*o(t) - 5*p(t).\nAnswer: -5*t + 405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1448676 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1666 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 25*k**2 - 3*k + 3. Suppose 0 = 4*o - 3*h - 1068, 2*o - 4*h = -h + 528. Calculate the remainder when o is divided by p(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1915 + 4485. Suppose v = 2*j + 4*v + 2180, 1095 = -j + v. Let a = j + s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 - 404 - 55*m**3 + 210.\nAnswer: -55*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10256 and 2144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65050520 is divided by 1514.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61613339?\nAnswer: 223, 276293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 996 = -4*x, 3*x + s - 996 = -x. Suppose 0 = 3*w - 3*k - x, 4*k - 252 = -4*w + 56. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 u when three letters picked without replacement from {v: 1, y: 6, u: 8}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56829 and 21?\nAnswer: 397803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82402918 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.9 and -39?\nAnswer: -1010.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -276 + 4*s + 3*s**2 - 4*s**2 + 285. Calculate the lowest common multiple of 20 and f(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22411, 44806, 67213, 89638, 112087, 134566, 157081?\n\"Answer: k**3 + 22388*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2038630 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25411 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.4 + -0.6. Let x = 1 + m. What is the closest to -0.1 in x, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9780, 9782, 9784?\nAnswer: 9786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1230\/7, -3, 265 in increasing order.\nAnswer: -3, 1230\/7, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w + 20*w**3 - 9 + 32*w + 45*w**2 - 14*w**3 - 8*w**3. Is p(22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17\/(-51)*3)\/((-4)\/6). What is the closest to -1 in i, 15\/8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1456 - 34466?\nAnswer: -36255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 9*r - 9. Calculate the smallest common multiple of r and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3464)\/6)\/(-2) - (-45)\/135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2. Let j(g) = 22 - g - 22. Calculate j(o(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2*d + 10. Is 14 a factor of j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984.524 meters in micrometers?\nAnswer: 2984524000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 96, 235, 440, 717, 1072?\n\"Answer: z**3 + 24*z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71464485 - 5?\nAnswer: 71464480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 245, 248, 245, 230, 197?\n\"Answer: -s**3 + 3*s**2 + s + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*m + 6, 12 = -2*l - 2*l + 5*m. Suppose -5*n + 3*x = -13, 2*x = -l*n - 0 + 2. Solve 6 = -3*u, -5*u = n*b + 3*b + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190380.6 rounded to the nearest 10?\nAnswer: 190380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.935525337 rounded to three dps?\nAnswer: -4.936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + s - 39. Determine j(-7).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1507463418 + 1507464720.809659. Let f = t + -1284.80966007. Let x = 18 - f. What is x rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -30*m + 332. Let c be d(11). Let b be (-11)\/44 - (1036\/16 - c). Put b, 2, -5 in descending order.\nAnswer: 2, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3328, -3330, -3332, -3334?\n\"Answer: -2*w - 3326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/7? (a) -42 (b) -11 (c) -0.3 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -109*l**8\/112 + 29*l**5\/60 - l**4\/8 + 7*l**2 - 21. What is the third derivative of d(o) wrt o?\nAnswer: -19620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (3 - 3) - 32. Let t = 91\/3 + g. Let y = 3 + -5. Which is the nearest to t? (a) 2 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 78 = 3*t. Let a = -58 - t. Let u = a - -22. Which is smaller: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*a + 10. Let c = a - -26. Does 2 divide 20\/c + (-14)\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536071995143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 8?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 104?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2402304 (base 6) to base 4\nAnswer: -132200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325) - 3*sqrt(325))) + sqrt(13)*-1*-3.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 94776863201?\nAnswer: -94776863205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-29 + -47 + 59)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + (-629084)\/(-6))*(6 - -744). What is w rounded to the nearest one million?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.38 - -20.38. Let z = 17 - a. What is the third smallest value in 1\/6, -1\/10, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0.1 (c) -2\/9 (d) -1.3873 (e) 3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.1, -1, 0.0053, -0.3, -0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1066568 divided by -1\nAnswer: -1066568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.55395 days to minutes.\nAnswer: 128957.688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746 + 5*(-12 - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/(m\/m**(-23)))*m)\/((m\/(m*(m\/m**(-2\/27))\/m))\/m))**(18\/11))**(-11\/3) assuming m is positive.\nAnswer: m**(-1462\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000418616 rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 28 = -2*f. Suppose 5*d + 2*l - 206 = 0, 48 = -10*d + 11*d - 3*l. What is the highest common factor of f and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 984534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 27.85?\nAnswer: 445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from {y: 1, t: 3, c: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -15, -9, -1, 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/6)\/r*r*(r\/(r\/(r\/(r*r**0)*r))*r)\/r assuming r is positive.\nAnswer: r**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 8*n. Suppose -4*y + 8 = n, 3*b + 0*y - 110 = -y. Suppose -35*g = -b*g + 137. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 - (-10 + 4 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**3 + 7*d**2 + 10*d + 38. Give x(5).\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/2981 + -8887\/83468. Sort v, 2\/5, -4\/7, 1\/6, -0.2.\nAnswer: -4\/7, -0.2, v, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34850 is divided by 30663?\nAnswer: 4187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2.46 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8864571 micrometers to millimeters.\nAnswer: 0.0008864571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263147 and 1077.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71211.\nAnswer: 3, 7, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20988 is divided by 6344.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1027357.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 - 6*g**4 + g**4 + (2 - 2 - 2*g**3)*(5 - 5 + 2*g).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)\/t)\/t)**(-21)*t**(-13)\/t**(-22) assuming t is positive.\nAnswer: t**(225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - 3*w**2)*(14*w + 29*w - 10*w - 1).\nAnswer: -33*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*n**3 - 95*n**3 - 83*n**3 - 70*n**3.\nAnswer: 37*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, e: 2, w: 1, f: 6, x: 1, h: 2}. What is prob of picking 2 e, 1 x, and 1 f?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16\/7))**6 assuming b is positive.\nAnswer: b**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003051 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 10. Let c be (m\/(-5))\/((-1)\/(-5)). Suppose 5*b + 225 = -2*g + 5*g, 149 = c*g - 3*b. Calculate the greatest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let t(f) be the first derivative of 838*f**3\/3 + 6459. Determine y(t(i)).\nAnswer: 702244*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437249735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 234230?\nAnswer: 234220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 272\/15 - 22\/165. Suppose 0 = 8*k - 5*k - h. Let r(i) = -3*i**3 - i**2 + 1. Let z be r(-1). Solve 5*q + z = 4*d, 2*d = -2*q + k*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 410 - -1173?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12931 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(26)*1 + sqrt(26))\/(sqrt(2) - sqrt(98)*-1))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 10, 0, -2, -1 in decreasing order.\nAnswer: 10, 0, -5\/6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 850 - 850.0482. Is g smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -242*p**5\/5 + 79772*p**4\/5 - 50586*p**3\/5 - 26312*p**2\/5 - 2632*p\/5 = 0.\nAnswer: -2\/11, 0, 1, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 9*l + 2. Let d be n(8). Suppose -4*c - d = -74. Solve 4*o = p - 2*p - 12, 3*p = o + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.45 * -25\nAnswer: 361.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1465b3 - -10?\nAnswer: 1465c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 6*m - 2*m)*(-17*m + 9*m**2 + 17*m) + 0*m**3 + 0*m**3 - 2*m**3 + (1 - 1 + 2*m**2)*(-2*m - 1 + 1) - 5*m**3 + 0*m**3 + 4*m**3 + 2*m - 2*m + 2*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212010102111 (base 3) in base 15?\nAnswer: 147517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1 + 2 + 5 - 2*i**2. Let z(r) = -2*r**2 + 5. Let c(h) = -5*p(h) + 6*z(h). Let u(a) = -a**2 + 7*a**2 - 2*a**2. Calculate u(c(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1505 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553656 is divided by 254.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5786 + -3568. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 times 0.33\nAnswer: 0.01551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) -1 (c) -5083 (d) -2 (e) 1\/3 (f) -45\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - x)*(29 + 23 - 65).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 8:54 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u**3 - 231*u - 45*u**2 - 3*u**3 - 45*u**3 + 233*u. Let r(d) = d**3 + d - 1. Let y(c) = -q(c) + 2*r(c). Find the third derivative of y(p) wrt p.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -223.7.\nAnswer: -223.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -31, 2, 29, 106, -5 in ascending order.\nAnswer: -31, -5, 2, 10, 29, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-2 - 48) + -10 + -2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 1, r: 4, e: 3}. What is prob of picking 1 n and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2660, 2669, 2688, 2723, 2780?\n\"Answer: n**3 - n**2 + 5*n + 2655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1836 * -149\nAnswer: 273564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318 + 402. Calculate the least common multiple of 7 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.3507?\nAnswer: -0.14028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3865879 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43524 is divided by 108.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 24. Let t be f(-10). What are the prime factors of (1 + t)\/(1\/8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334888356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22436971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**2 - 4*x**2 + 4*x**2)*(-232 - 485 + 510)*(4 - 4 - 7) as w + d*x**2 + m*x and give d.\nAnswer: -5796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37\/3 - 2\/(-3). Let c = -11 - -16. Solve -c*l - 2 = a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 + -165 - (3 + -32 + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((11\/(-220)*182)\/1).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 5508 - 6082 = w. What is the greatest common divisor of 95 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, -440, -5, -1, 0 in ascending order.\nAnswer: -440, -5, -1, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 268857800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 752187897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 0, 286, -2\/1699?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9444 + 9443.7. Let g = -49\/4 + 23\/2. Which is the nearest to 1? (a) g (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 28.7 (b) -2369 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z**3\/6 + z**2\/3 = 0. What is z?\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) + (-2727177)\/(-1). Let h = m - 5597179. Round h to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 476*q - 6468. Give m(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 13*n**2 + 33*n + 30. Is d(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 14*y - 4*y. Let s be 3\/y - ((-2400005)\/(-3) + -2). Round s to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4888126 = 39105009\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 36, 52, 68?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 6 in ascending order.\nAnswer: -6, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 28953357.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 e when four letters picked without replacement from zaeezzagza?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.36 + 0.34. Let k = -1.7 + y. Let h = 281 - 277. What is the nearest to k in h, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110.98 + -111. What is the biggest value in -0.2, 0.3, -2\/13, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -4, 0, -0.2, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -0.08 (c) -1\/2 (d) -2\/3 (e) 6\/11 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 8. Let g be (48\/(-20))\/(-4) + (5 - 83\/5). Calculate d(g).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9846 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: Collect the terms in 2010*c - 903*c - 1104*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4891964\/3 - -525069897\/322. Let z = -13\/46 + y. What is the common denominator of z and 59\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 + 61352340*b + 122704660 = 0. What is b?\nAnswer: -12270466, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 121*x + 2758. Calculate the least common multiple of 1536 and g(-22).\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2794, 2804, 2822, 2848, 2882?\n\"Answer: 4*r**2 - 2*r + 2792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 28 + 3. Suppose 2*a + 3*y - 14 = -5, x*a = -y + 42. Solve -2*i = 2*i - 2*z + 6, -a = -4*i + 5*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3 + 3*a**3 - 8 + a as g*a**3 + l*a**2 + s*a + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0558991 to 3 decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4113 = 19*o - 4379. Solve -o*p - 267 = -211 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 3*b - 2*b + b + 429 to h + l*b and give h.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 + 77 = -62950*b + 62975*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m - 19. Let c(f) = -8*f + 93. Let n be c(9). Is x(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 196248?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcclaxaccaaaa. What is prob of picking 1 l, 1 a, and 1 x?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 2*f - 0*x + 5*x, 0 = 5*f - 3*x - 421. Let m = f - 52. Find the third derivative of d**2 + m*d**4 + 38*d**4 + 4*d**5 + 0*d**2 - 71*d**4 wrt d.\nAnswer: 240*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 25.4. Let v = -1042.15 + 1037.74592. Let m = v - h. What is m rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62237\/6 >= 10373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -278, -2\/9?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 73*a + 355 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*j**2*w + 2009*g**3*j*w**2 + 4*g**2*j**2 - 17*j**2*w + j*w**2 - 4*w**2 wrt g?\nAnswer: -12*j**2*w + 12054*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 4*(sqrt(99) + -3) - (sqrt(110)*2*-4)\/(-2*sqrt(40)))*6)**2.\nAnswer: -5040*sqrt(11) + 41364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from bkpbkkkbppbkk?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*h - 2587, -12*b + 12 = -8*b. What is h rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 + 3*c**4 - 152*c**3 + 13441*c**2 - 38*c?\nAnswer: -60*c**2 + 72*c - 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/120 + m**5\/3 + 11*m**4\/12 - 17*m**3\/6 - 10*m**2. Let q be g(21). Solve -q*u = 0, 3*y = -u + 3*u + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.551682, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-31454.55.\nAnswer: 40890.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)*h**(3\/2)\/h*h*(h**7\/h)\/(h\/h**0)*(h**(-2)*h**2)**(8\/3) assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 730*q + 46282. Suppose t = 6*t - 195. What is the remainder when r(-70) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -0.3. Let s = 3 + q. Let w be ((-9)\/18)\/((-1)\/(-4)). Which is the second smallest value? (a) s (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 114*b**2 + 735*b + 3*b**3 - 781 + 144*b**2 - 215 = 0.\nAnswer: -83, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200143 (base 5) in base 12?\nAnswer: 1082b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*f = -138*f + 277*f + 3*p + 33, -4*f + 4*p + 63 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -8 + 0 + 8 + 13 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 44\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1575 and 146250.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -7683 and -7681 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73692 + -73694.9759. Let i = v + -0.0241. Which is the third smallest value? (a) i (b) -2 (c) -9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from eleleeuexeeeeuxluel?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -790 + 861. Calculate the remainder when 279 is divided by q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c + 4*v - 7, 2*v - 8 = 0. Let g = c - -5. Solve 0 = -i + g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254716.\nAnswer: 2, 7, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. What is the biggest value in -5, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 3*g - 4*g)*(-5 + 2 + 1) - g - g + 7*g + 3*g - 4*g - g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*f - 10 = 0, -4*b - 2*f = 3*f - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6 - 8*n - 4 + 1 + n**2. Let y be t(9). Solve -3*z + y = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 392*j - 11 + 30*j + 30 as x*j + q and give x.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7*f**2 + 3 + 2*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3 + -6)*-1. Let i be (4 + -1 - 1) + -2. Suppose f - q = -2*q + 6, -f - l*q - 14 = i. Calculate the greatest common divisor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -7*y + 360. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 55238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1982 + 2126. Calculate the highest common divisor of 936 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1656\/230 + (-1 - 7) - (382\/1810 + -1)?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 37)\/(3*(-9)\/(-135))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1, 5, -1\/7, 116?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -1\/3*g**3 + 0 + 3\/2*g**2 - 34*g. Let t(j) be the first derivative of -j**3\/3 - 3*j**2\/2 + 4*j + 2. Give -3*r(d) + 2*t(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6 - 12958470*j**2 + 3*j - 10*j**3 + 12958470*j**2. Let m(s) = 19*s**3 - 5*s + 11. Calculate -5*g(u) - 3*m(u).\nAnswer: -7*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:18 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*f**2 + 426?\nAnswer: 194*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - d**2 - 4*d - 2. Let t(m) = -m**2 - m. Give n(u) - t(u).\nAnswer: -u**3 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 79 + 38 + -88.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 5. Let i be p(-4). Let c be 1262\/10 + 3\/i + -1. Let y = -67 + c. What are the prime factors of y?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:03 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 6*z + 3. Let x be i(6). Let f = -19 - -10. Let g = f + 10. Solve 2*v = -x + g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48223670 to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*a + 11*a + 35*a + (a + 2*a - 2*a)*(2 + 4 - 5).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -328*c**3 + 552*c**2 + 541*c**2 - 1236*c**2 + c wrt c?\nAnswer: -1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0263166831 rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 31, 2, -39, -92, -157?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 9*z**2 - 27*z - 5. What is w(4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 985 - 977. Let h be (-3)\/b - 25487\/(-616). Is 30 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dmmdmmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 20*o**2 - 3145*o + 786. Let i be u(157). Let n be (-2)\/5 - 466\/(-1170). Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**1)**(2\/99)\/(w\/w**(-1\/4))**(-29))**(2\/45))**(-1) assuming w is positive.\nAnswer: w**(-29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u\/(u\/u**1)))**44 assuming u is positive.\nAnswer: u**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 0)*(-1 - 1 + 4)*(2*o - 1 - 1 + 0*o) + 0*o + 0*o + 2*o.\nAnswer: -14*o + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 3, y: 1}. Give prob of sequence fkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.159 + 4.159. Which is the nearest to 0? (a) 0 (b) h (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8 - 1. Suppose 5 = n*q - 4. Let b(i) = i**3 - i**2 + 13. Let f be b(0). Solve -3*j - 10 = -4*z + f, 5*z - q*j = 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -138889*s**4\/2 - s**3\/3 + 3*s - 5. Let q be l(-3). Round q to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120123 (base 4) in base 15?\nAnswer: 6e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 6200*h - 1922000.\nAnswer: -5*(h - 620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 507, 2100, 5369, 10902?\n\"Answer: 98*g**3 - 44*g**2 - 49*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:23 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and (141\/21 - 7) + 86\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5. Suppose 0 = -q - x + 6. Suppose 0*a - 4*g - 35 = -3*a, -q*g - 10 = 3*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, s: 3}. What is prob of picking 1 w and 2 s?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 3*r + 6. Let g be (44\/(-6))\/(1468\/(-366) + 4). Suppose -10*k = k - g. Calculate the remainder when k is divided by o(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396507825 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*n**5 + 27*n**4 + 71*n - 17*n + 65717 - 65710 wrt n?\nAnswer: -340*n**3 + 324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5885 - 5894. Let l(g) = -12*g - 112. Determine l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25392\/42849 + (-2)\/54?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 - 2 = 2*v, -v + 2 = 2*w. Let i = 3.4 - -2. Let j = i + -5.7. Which is the second biggest value? (a) -6 (b) 1\/10 (c) j (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 85365.\nAnswer: 1\/85365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*z**2 - 6*z**2 + 72*z**2 - 16*z**2 + 93*z**2.\nAnswer: -155*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 135*d**3 - 1150*d**2 - 1440*d + 2720.\nAnswer: 5*(d - 34)*(d - 1)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 16*u - 7 = 0. Let f(w) = -6*w**2 + 5. Let r(k) = k**2 - 1. Calculate u*f(q) + 5*r(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0034 + -0.1034. Which is the nearest to 0.6? (a) 0.2 (b) -7\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 1698*s\/7 - 1700\/7.\nAnswer: 2*(s - 850)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264*a**3*k**2*x - 189*a**3*k*x + a**3 + 2*a*k**2*x + a*x + k*x wrt k?\nAnswer: -528*a**3*x + 4*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -574931, -574900, -574867, -574832, -574795, -574756, -574715?\n\"Answer: o**2 + 28*o - 574960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 538994 and 0.5?\nAnswer: 269497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - d + 2. Let o be w(1). Which is the nearest to -1? (a) -3\/5 (b) -67 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Let p(s) = s**2 - s + 1. Let w(a) = 2*a**2 - 4*a + 4. Let m = -4 - -3. Let f(z) = m*w(z) + 4*p(z). Determine y(f(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2597 + 1?\nAnswer: -2596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (476\/(-595))\/(4\/(-70)). Solve k - 3*o = -q, 4*k - o + 8 = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2556550 (base 12) to base 10\nAnswer: 7330956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.3202, -1.2, -0.3, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 323*z\/3 + 3674\/3.\nAnswer: -(z - 11)*(z + 334)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 8\/4 - (-142 - 0).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 0*k**2 - 484 + 2*k - k**2 + 2*k.\nAnswer: -k**2 + 2*k - 484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 114. Let s be v(10). Let q be (s\/(-800))\/(1\/5). Let f be (-104)\/18 - (-4)\/(-18). Which is the closest to -0.2? (a) q (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14400 divided by 960\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84.3 and 27.\nAnswer: 2276.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v**2 + 10*v - 15. Let z be s(6). Let q be z\/5 - 9*(-2)\/(-18). What is the smallest value in -5\/4, -2, q, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 5858*v**3 + 8596597*v**2 + 51421524*v + 77053284.\nAnswer: (v + 3)**2*(v + 2926)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/6*(-4654)\/(-2506).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p - o, 5*o - 42 + 24 = -2*p. Calculate the common denominator of 24 and (-1)\/(75\/42) - p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1596.292 rounded to 0 decimal places?\nAnswer: -1596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1\/9, -2, -2\/31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43977?\nAnswer: 3, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 - 5 = 0. Suppose -3 = b*r - 3*a, a = 4*r - 3*a. Suppose -r*d = -8*d. Solve -4 = -d*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 90 - 10 = 0. Let t = 59 - r. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 18 = 3*m - s, 4*m - s = 12. Suppose 4*x - 38 = -2*w, 5*x + 22 = 2*w + m. Solve -2*f + 5 = w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10478100, 20956171, 31434242, 41912313, 52390384?\n\"Answer: 10478071*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4268, 4264, 4256, 4244, 4228?\n\"Answer: -2*j**2 + 2*j + 4268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:14 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310235 (base 7) in base 9?\nAnswer: 80558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1\/3, -47, -14 in ascending order.\nAnswer: -47, -14, -12, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -23763\/7*n**2 - 1409938\/7*n - 178\/7*n**3 - 79 - 1\/14*n**4. Suppose f(h) = 0. What is h?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*o + 4 = 0, 3*o = -4*s - o + 48. Suppose 3*i + 2*i = 5*a + s, -2*i - 4*a = -4. What is the least common multiple of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1996 = -5*r + 56. Let g be -4 + 1 + 9 + 1 + -3. Is 19 a factor of g\/6 - r\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 51 (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.53 + 16.83. Which is the nearest to 0? (a) -1 (b) 3\/5 (c) 2\/5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5179 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 121435 + 121435 + 6*q**2.\nAnswer: 6*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, k: 2}. Give prob of picking 1 k and 2 x.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(102))\/(sqrt(24)*-1) + (sqrt(3264)*-1)\/(sqrt(30)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2940084 hours?\nAnswer: 1058430.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42160629 divided by 14053543?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**0*j)**(-4\/7)*j*j**(-1\/3)*j*j*j**(-6)*((((j\/j**2)\/j)\/j)**(-5\/2))**(-1\/25) assuming j is positive.\nAnswer: j**(-1243\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10089229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 11*s - 6. Let z be 2\/(-3) - 700\/(-60). Determine d(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 12*j - 9. Let q be v(-11). Suppose -z = -2*i - 994990 - 715014, 3419992 = q*z + 4*i. Round z to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*d**3 + 4 + 38661*d**2 - 77319*d**2 + 38654*d**2)*(4*d + 0*d - 3*d) to i*d + v + h*d**4 + y*d**3 + p*d**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*a - 1 = 0, 4*a + 216 - 196 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -44. Suppose -13*b + t*b = 120. What is the lowest common multiple of 18 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.416? (a) -41 (b) -2\/3 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 631066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i. Let w(y) be the second derivative of y**4\/6 - 38*y. Give w(f(b)).\nAnswer: 450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 1. What is h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16355*q**2*v + q**2 + 10*q*v + 233*q + v wrt q?\nAnswer: -32710*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 58. Suppose -137 = k*p + 113. Is -50 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-36))\/(1 - 1915\/1916) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y + 70. Let i be o(-11). Let h = -4 + 4. Let p(a) = -a**2 + 2. Let b be p(h). Solve -g + 3*g + i*s = 2, -3*g + b*s = -11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:22 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y - 102*y = 70. Let p(k) = k + 2. Let o be p(2). Suppose 3*x + 5*n = -y, -2*n = x - o*n - 15. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*x + 69*x + 194. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + 1 + (-4 - -4). Let k(w) = w**2 + 2*w - 2. Let q be k(2). Suppose -q = -6*r + 66. Calculate the greatest common divisor of f and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.863 years to decades.\nAnswer: 7.2863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:09 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255703*g**3*s - 33*g**2*s*t + g*s*t + s*t + 9005*s - 5*t + 2 wrt g.\nAnswer: 767109*g**2*s - 66*g*s*t + s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713587 + 713587 + 4*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*j + 81. Suppose 1530 = 32*z - j*z. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 9) in base 12?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8))**30 assuming z is positive.\nAnswer: z**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjggjjggggjgj. What is prob of sequence ggj?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 3345?\nAnswer: 3345.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 - -0.04. Let r = -1.2 + h. Let o = 1 - r. What is the smallest value in 5, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100 (base 2) in base 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1249577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:56 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 460700302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((4 + -3)\/5). Is ((-246)\/u)\/(9\/45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27624770 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14659*c**4 + 3132*c**3 + 50*c**2 + 583742*c wrt c.\nAnswer: -351816*c + 18792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2412.78 days to milliseconds.\nAnswer: 208464192000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(66) + (sqrt(66)*-2 + sqrt(66) - sqrt(66) - sqrt(66)) - sqrt(66))\/sqrt(11) + sqrt(6))*4)\/(-1*(sqrt(2) - sqrt(2)*2)*1))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/72 - i**5\/30 - 2*i**3\/3 - 3*i**2. Let m(p) be the first derivative of u(p). Find the second derivative of m(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**3 - 1. Let o be w(1). Let a(u) = -u + 2. Let m be a(7). Let q be (-2)\/m + 13\/5. Solve 32 = -o*h - 3*p, -28 = 3*h + p + q*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4529*b**3\/6 + 1643*b**2\/2 - 1443*b - 400\/3 = 0?\nAnswer: -2, -400\/4529, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -7*r - 35. Let h be (-60)\/r*(-27)\/15*-1. What is the greatest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1702387520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -197.\nAnswer: 86\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -0.057 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030530 (base 6) in base 14?\nAnswer: -146c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -146.3662 from 26.7.\nAnswer: 173.0662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - s + 0)*(-2 - 2*s + 2) - s**2 + 3*s**2 - 3*s**2)*(-1 - 4 + 7)*(-30*s**2 - 26 + 26) to h + p*s + v*s**4 + n*s**3 + b*s**2 and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 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 -17 + (85 - ((-39 - 10) + 90)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/55*((-1310)\/20 - 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:34 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44 and 9888298.\nAnswer: 9888254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 - 264.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*r - 247 = -3*n, 4*n - 5*r = 479. Suppose -29 = -3*v - 4*u, v + 2*u + 13 = 2*v. Calculate the greatest common divisor of v and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 10*d + 4. Let i be z(-10). Suppose i*y + 125 = 345. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*x - 1 = 2*w, -3*x = w - 13. Let r = 3 + -1. Solve -w = -l - j, -2 = -4*l + 2*l + r*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -24342*o**3 + 6*o**2 - 5*o + 17. Let c be z(-11). Suppose 54*r + c = 45*r. Round r to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 + 161. Find the third derivative of 23*i**f - 16*i**2 + 2*i**4 - 46*i**3 + 21*i**3 wrt i.\nAnswer: 48*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3254.043 and -12.3.\nAnswer: -3266.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, -11, -2, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + 5*k - 8, 4*z - 9 = k. Let y(x) = -x. Let t(l) = 1. Let n(r) = -2*t(r) - y(r). Calculate n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178185886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13 = 35. Let h(p) = -p**2 + 17*p - 62. Let v be h(d). Solve 0*y - 3*y + v*f + 3 = 0, -4*y + 4*f = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3482640 + -632640. Suppose o = 16*x - 13*x. What is x rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3370976 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -810*z + 92*z - 1724*z as h + n*z and give n.\nAnswer: -2442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/4 (b) 0 (c) -3 (d) -2\/333 (e) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12618?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 29 (b) 3 (c) 1\/2 (d) 2\/3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 4*n**3 - 2*n**3 + (1 - n - 1)*(-4*n**2 + 5*n**2 + n**2) + 34003*n**2 - 495*n**3 - 34003*n**2.\nAnswer: -494*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -0.6 (c) 8 (d) 3 (e) 2\/41 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Which is smaller: 5\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 153, 265, 483, 843, 1381?\nAnswer: 2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42*((-2024)\/(-168) - 11)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from rkkkuutuurkrukdtu.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/10 - 37*q**4\/12 + 49*q**3\/6 + 17*q**2 + 25*q - 4. Find y, given that a(y) = 0.\nAnswer: -1\/2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177993640 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -2 - 1) + -3 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064 - 10734302.2498.\nAnswer: -10734302.3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:19 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11615?\nAnswer: 5, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3973\/1305 + 118\/(-1298) + (-28)\/55\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-890)\/300 + 9 - 6 - (-2)\/(-9) and 37\/22?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5630395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19170*r - 19175*r + 38384*r + 624 = 0 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l - 36. Suppose 0 = -0*s - 2*s + 180. Suppose s = -10*t - 0*t. Does 18 divide o(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/19, -9, 5.874, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = -5*o, -2*o + 58 - 61 = -j. Solve 4*w - 16 = -2*q, -q = 4*w - 17 + o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -3811, 78, -0.013 in decreasing order.\nAnswer: 78, 1\/7, -0.013, -3811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -6*(-4)\/8. What is the third derivative of -6*b**2 + 6*b**4 - 8*b**4 + 10*b**z wrt b?\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213301123 (base 4) in base 2?\nAnswer: 100111110001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + -2 + 191\/(-3). Let n = 67 + s. Solve 3*x - 4 = -n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24114010 (base 5) in base 16?\nAnswer: 3671d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzo when three letters picked without replacement from {s: 1, v: 3, o: 5, x: 6, z: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108730702 divided by 562.\nAnswer: -193471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -26 + (-3 - -30) + 3 + 1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 2. Let a be i(3). Suppose g = 2*t + 11, 6*g + t = 5*g - a. Let y be g + (12 - 0 - 0). Solve -5*o = y - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 51*m - 42. Give t(9).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(3\/(-3) + 3) + 78. Let j be 7\/(7\/(-2)) + p\/33. Which is the smallest value? (a) j (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, and 1 m when three letters picked without replacement from {i: 1, k: 5, z: 5, m: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40651 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5133 (base 8) in base 9?\nAnswer: -3565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 146*x + 141*x - 280*x)*(-2 - 5 + 5).\nAnswer: -14*x + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0, 0.3, 0.1, -7, 3, 226329?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211022 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 = 28*f + 255 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (-5 - (555 + -5)). What is the remainder when 2310\/k + 30\/34 + -1 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 8*t - t)*(3*t + 13 + 4*t - 8*t) as w + a*t + c*t**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 3*w + 2*o - 42, 5*w + 659 = 3*o. Let c = 112782 - 1239174\/11. Let d = w + c. Put d, -0.2, -1 in decreasing order.\nAnswer: d, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330136665 to the power of 1\/2, to the nearest integer?\nAnswer: 36471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18\/13 + 116\/65. Let q be ((-9)\/15)\/(15\/(-10)). Suppose 0 - q*p**2 - y*p = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 + 5629*q = 0. Calculate q.\nAnswer: -5629, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259 - -1573\/6. What is the common denominator of 77\/12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -906 + 906.1. What is the nearest to p in -3, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t. Let v(b) = 68070588*b. Calculate i(v(q)).\nAnswer: -272282352*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 33. Suppose -174 + 39 = -z. What is the highest common divisor of z and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114484326?\nAnswer: 2, 3, 11, 1734611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9040244?\nAnswer: 2, 2260061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18474165*c + 1451238*c - 15872967*c.\nAnswer: -32895894*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2215450873142 - -77\nAnswer: 2215450873219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 935245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 45*r**2 + 123*r + 107. Is n(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.954707 + -0.045293. Let h be 48\/20 - (-4)\/(-10). Which is the nearest to 0? (a) 4 (b) h (c) -13 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 48. Suppose -i - 2*s - s - 2 = 0, p = 5*i - s. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -3*r - 16, 0*r - t = 5*r - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, 139, 623, 1557, 3091, 5375, 8559, 12793?\n\"Answer: 25*m**3 + 9*m - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = -2*y + 4, 4 = -4*u. Let l = -2 + -1. Sort l, y, 3 in ascending order.\nAnswer: l, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1, 2\/41, -2 in descending order.\nAnswer: 2, 1, 2\/41, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 20*l + 1847. Let n(f) = f + 815. Determine g(n(q)).\nAnswer: 20*q + 18147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {z: 2, t: 1, h: 1, y: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 9. Let h(o) be the third derivative of -o**4\/12 + 2*o**3\/3 + 6*o**2 - 300. Determine -9*h(k) - 5*w(k).\nAnswer: 3*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 3*m - m)*(27720 + 51135 - 10549 + 98177) to the form x + i*m and give i.\nAnswer: -166483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 471128129 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.58 >= 1963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**0*q*q)\/q)\/(q\/(q*q**(2\/15)))*(q**(-1\/4)*q)\/q**(5\/3) assuming q is positive.\nAnswer: q**(133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziiciicihzili. What is prob of sequence ici?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 1. Let p be n(2). Let t be ((-2)\/(-4))\/((-3)\/p). Let l = 121 - 487\/4. Which is the nearest to -3? (a) t (b) -2\/17 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 13 + 4 + (4 - (-1 + 11)) + -47.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**3 - 2*d**2 + 1. Suppose -8 + 4 = -2*t. Suppose -5*s + 13 = -t*x, x - 2*s = -x - 4. Determine h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243644 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -337, -336, -335, -334, -333?\n\"Answer: o - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1506496\/261 + -5772. Let a = t + 3859\/3654. Find the common denominator of a and 29\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 312*x + 6137. Let n be l(-19). Solve 0 = 205*w - n*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(1365\/((-28)\/(-4))) and 97\/78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24\/(-2))\/((-3845)\/295 - -13).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1257 divided by 2149\nAnswer: 1257\/2149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 10*i + 9*i)*(-5*i + 2*i + 2*i) + (675*i - 354*i - 84*i)*(4*i - i - i)*(4 - 5 + 3) as b*i**2 + o + j*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -s - 2, j - 3*s = -2 - 2. Suppose 3*r - 5 = -4*z + 5, 5*r - j = 5*z. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 13*k**3 + 31*k**3 + k + (1 - 2 - 1)*(2*k**3 + 0*k**3 - k**3) in the form h*k + b*k**2 + w*k**3 + x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*u + 2*l, 2*l + 3 = -u + 11. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2052656841 to the nearest integer?\nAnswer: 45306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 741 - 741 + 127*d + (0 + 4 - 2)*(d + 1 - 1).\nAnswer: 129*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462753?\nAnswer: 19, 167, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155328 and 38832?\nAnswer: 155328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 222, 181, 112, 15, -110, -263?\n\"Answer: -14*r**2 + r + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110111111010010100 + 101010010?\nAnswer: -1000110111110101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6056974 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 178*j**2 + 8*j - 11. Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-24)*g*g*g*(g\/g**19)\/g assuming g is positive.\nAnswer: g**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 59. Suppose 3*y + 58 = 91. Calculate the remainder when x is divided by (-68)\/(-2)*(y - 10)\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11067193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23822 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 5725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -22 - -10) + -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130243693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (518\/148)\/((-14)\/((-10)\/5)). Let c(g) be the second derivative of 21*g + 4\/3*g**2 + o*g**3 + 0 + 1\/36*g**4. Determine n, given that c(n) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(88)\/(sqrt(8) + sqrt(648)*1) - (sqrt(132) + 4*(-1*sqrt(132) + sqrt(132)) + sqrt(132))\/(-1*-2*sqrt(12) + sqrt(12))).\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u - 200 + 100 + 101)*(2*u**2 - 2*u**2 - u**2) to w*u + k + l*u**2 + i*u**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 + 1 = 0. Let s be (4 - o) + -1 + 9. Solve 2*p = 5*g + 10, p + s = 5*g + 3*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-216)*6*1\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-506 + 14 + 137)*(-3 + 3 + 2*y**3).\nAnswer: -710*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:53 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = y - 0*y - 24, 5*w = 25. Let t be 6\/(-10) + (-68)\/20. Put 2, y, t in descending order.\nAnswer: y, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*s - 335 = 0, 2*n + 3*n - 4*s - 1704 = 0. List the prime factors of n.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11835 to the nearest one hundred.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 1. Suppose 0 = i + 3*p - 1 + 3, -12 = 2*i - 2*p. Let v(m) = -9*m**2 - 5. Give i*y(l) - v(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x - 10216179 + 10216179.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1685181 (base 10) to base 12\nAnswer: -693279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*76\/(-96) - -6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*f**3 + 108*f**3 + 68*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214\/33 - -20\/3. What is the nearest to 0.08 in z, -4, -2, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -356712, -713434, -1070166, -1426908, -1783660, -2140422?\n\"Answer: -5*h**2 - 356707*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1 + -221)\/3*(125 + -128). Solve -243*y + 105 = -v*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -3)\/(0 - 2\/(-4)). Solve -4*h + 3*h - h**5 + h + 2*h**2 - 2*h**w + h = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058 a factor of 144141888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2873\/(-52) + (-8)\/(-192)*6. Sort k, -1, -5, 1 in decreasing order.\nAnswer: 1, -1, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/(f**7\/f)))\/f)**(-48)*f**(-1\/21)\/f*f*f*f*f\/(f*(f*(f\/f**(5\/4))\/f*f)\/f))**(7\/9) assuming f is positive.\nAnswer: f**(-24007\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -30997*o - 3. Let b(t) = 2*t**2. What is h(b(y))?\nAnswer: -61994*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/93)\/((-2)\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + m**5 - 3*m**5)*(2 - 1 - 3) + (3*m + m**2 - 3*m)*(-3*m**3 + 2*m**3 + 0*m**3).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3297759461?\nAnswer: 3297759456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 70*a + 1728160. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 1 = -138*n + 134*n, y = 2*n - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/7, 0, 4\/47?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8703?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6588, 6640, 6668, 6660, 6604, 6488, 6300?\n\"Answer: -2*h**3 + 66*h + 6524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, b: 4, l: 1, s: 1, y: 2, a: 2}. Give prob of sequence bsbl.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -815*r**2 - 26*r - 22. Let b(v) = -271*v**2 - 9*v - 8. What is 11*b(u) - 4*c(u)?\nAnswer: 279*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/60 + 5*u**4\/24 - 2*u**3\/3 + 2*u**2. Let b(q) = -7*q + 4. Let c be b(2). Let h be c\/35 - (-46)\/14. Give s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 0 - (7 + (-5 + 6 - 16))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121112 + -21?\nAnswer: 121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 1689600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001676 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 10 - 4 + (3 - 6 + 0)*(-2 + 0 + 0) + 3 + 1 - 3)*(5 + 2*u - 5)*(-20*u**2 + 11*u**2 + 12*u**2) to the form y*u**2 + x + o*u**3 + h*u and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g - 4. Suppose -5*l + 22 = k - 2*k, -5*l + 13 = -4*k. Suppose 2 = -r + 3*r - g*p, 25 = k*r + 5*p. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 - 6*s + 2. Let i be y(-6). Suppose -i*g + 9 + 2 = u, 0 = 3*g - u - 9. Calculate the highest common factor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.02 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(9 - 3)*-478?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + -4 + (5 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 j when three letters picked without replacement from {r: 1, j: 1, a: 3, k: 3, g: 2, u: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63 and -3249.\nAnswer: 204687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = t - 40, -l - 39 = -t. Suppose 3*f = f - 2*y + t, 4*y - 60 = -3*f. Calculate the least common multiple of f and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -239, -1713, -5499, -12689, -24375, -41649, -65603, -97329?\n\"Answer: -182*p**3 - 64*p**2 - 8*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290)\/(-6)*7*81\/945?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*f - f - 215, -z = -5*f - 43. Suppose -22 = -4*p - 3*d, 0 = -5*p + d + 3*d + z. Solve -4*v + 5*r = p, -4*r = -5*v - 2*r + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 1:40 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22ac274 (base 13) to base 11.\nAnswer: -60545a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27.871 and 4?\nAnswer: 31.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334057521 divided by -7.\nAnswer: 47722503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -42. Let l be 11\/y + 2\/6. Solve 5*b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 28. Suppose -6*k + k - 3*s + 13 = 0, -5*k + 3*s = -37. Solve q + q = -5*w, p*w = k*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -238008150 and 7.\nAnswer: -238008143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 - 172*w**4 - 360*w**3 = 0. What is w?\nAnswer: -2, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1129012 + 1695853. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*x - 41 = 973*x + 4 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = d + 18. Let i(m) = 6*m**2 + m. Let g be i(d). Suppose -g*n + 3*n = -9340. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55\/4 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3780)\/(-360)*(-110)\/(-35)*3\/(18\/(-10)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281942 is divided by 2088?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*s**(2\/13))\/((((s*s**4\/s*s)\/s)\/s)\/s**5)*s**(-5\/6)*s**(-8)*s**(4\/3)*(((s**(-3)*s)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-61\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217094 and 9911464.\nAnswer: 287432456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 168*y**3 + 228 - 3*y - 169*y**3 - 229 + 5*y**2. Let p(f) = 3*f - 2. Let w = -5 + 7. Let l be p(w). Determine u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/250 and 37\/200.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -14*w + 132 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/60380 and 137\/887586?\nAnswer: 8875860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 - 3 = 0. Let i(p) = 24 - 29*p**2 + 13*p - 4*p + 8*p**q. Let z(h) = -125*h**2 + 55*h + 145. Let j(n) = -25*i(n) + 4*z(n). Factor j(u).\nAnswer: 5*(u - 1)*(5*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1026043 (base 7) to base 5.\nAnswer: -12441130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 340753?\nAnswer: 340751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/35 and -5545 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let i = -24 - -26. Let m(a) = a**3 - 5*a**2 - 5*a. Let l be m(6). Let x(q) = -q + l*q - i*q. What is n(x(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.7*-5.\nAnswer: 138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 14*d + 206 = 0. What is the remainder when 512 is divided by d?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16*v**2 + 263*v + 3955. Let j be x(-14). Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 0.8, 1, 1\/45.\nAnswer: -1, -0.4, 1\/45, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*j - 9, 2*j - 54 = -2*c + 6*c. Suppose -3*i = i - 76. Let h = i + c. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (3 - 1)) + 3 + 13 + -21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41489*x**5 - 24910*x**2.\nAnswer: 2489340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1878, -1880, -1892, -1920, -1970?\n\"Answer: -g**3 + g**2 + 2*g - 1880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/15 and 13\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387871 is divided by 193927?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 668 and -173.\nAnswer: -115564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*q - 3*q - 2259, 0 = 3*k - 4*q + 1688. Let u = k + 577. Suppose -3*c + 4*c - 6 = w, 3*w = 2*c - 9. What is the remainder when u is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013272668 to four dps.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-5)\/25)\/(2\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 32*w + 15. List the prime factors of v(9).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30 - 2*v**5 - 12*v**3 - 70*v**2 - 27 - 333*v**2 + 18*v**3 + 10*v**3 wrt v?\nAnswer: -120*v**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/4 (c) -2 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwcc when four letters picked without replacement from {w: 6, t: 1, b: 1, l: 1, c: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2758 less than -2754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80802 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, u: 2, n: 3, g: 7}. What is prob of sequence uggl?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -450065 or -450087?\nAnswer: -450065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-5 - -5))\/((-9)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -51*c**3 - c**2 + 2*c - 1. Let j be l(1). Let d be (1 - 2)*j - 0. Let w = d + -14. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335601 divided by 1?\nAnswer: -1335601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47\/6 - 15\/2. Let z = -1 + 1. Let s = 1 + z. What is the closest to 1\/3 in s, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659.0687 centuries to millennia.\nAnswer: 65.90687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6583698669?\nAnswer: 3, 73, 127, 236713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 - 3*w**2 - w - 1. Let o be r(-1). Solve g + k = 0, -g - 7 = 2*k - o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*q = -124*q - 170. What is the least common multiple of q and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 246 in 0.5, 0.2, 40, 2, -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 12 = a - 2*a, -3*a + 2*v = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -60. Let n be t + 0*(-2)\/6. Is (-7 - -10) + n\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/3 + 273. Let a(s) = -s**2 - s + 1. Let i(q) = 14*q**2 + 18*q - 18. Let y(m) = -36*a(m) - 2*i(m). What is n(y(g))?\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-21))\/(2*(-21)\/784).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -49, -67, -91, -121?\n\"Answer: -3*o**2 - 3*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnu when three letters picked without replacement from ncncnunncnnnncncnn?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52379, -51484, -50589, -49694, -48799, -47904?\n\"Answer: 895*r - 53274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 8:48 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*0.18962.\nAnswer: 0.028443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*w**6 - 4*w**5 + 138*w**2 wrt w?\nAnswer: 14880*w**3 - 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22563*l - 280 = -22549*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 8\/3 (b) 5 (c) -0.2 (d) -1\/203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {v: 4, i: 4, t: 1, k: 1, f: 4, o: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t - 17. Let y = 5 - 9. Let p(j) = 3*j + 9. Let d(v) = y*m(v) - 7*p(v). Calculate d(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 68*y**3 + y**2 - 3*y + 1. Let k be q(1). Find the second derivative of 37*b - k*b - 1 - 77*b**2 + 40*b wrt b.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1826776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13. Suppose c*r = -5*v, -v - 4*v = r. Suppose 2*j - 246 = -v*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8)*(-8 - 268). Let c be 4\/10 - g\/(-30). Solve -c*o + 2 = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 + g - 12. Let d(y) = -5*y**2 - 2*y + 11. Let k(a) = 5*d(a) + 4*q(a). Let h be k(-7). Solve h = -4*b - b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/4)\/i))**(36\/7)\/((i**(-3)*i*i)\/(i**(-6)*i)) assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 12, -16 = -2*m + 52*w - 48*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 111?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/(o*o**(-7))))\/o)\/o)\/o)**(1\/16) assuming o is positive.\nAnswer: o**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16700 is divided by 8252?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 - 18*i**4 - 122*i**3 - 380*i**2 - 525*i - 250 = 0. Calculate i.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/900 and 43\/14760.\nAnswer: 73800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 571*z + 568*z + 8 - 9 + 9 = 0, 4*z = -q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 6.6. Let f = 0.4 + a. Let y = f + -3. Sort -5, y, -0.4 in decreasing order.\nAnswer: -0.4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2355 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w - 4. Let o be x(0). Sort 5, o, 1, 0 in descending order.\nAnswer: 5, 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z**2 - 1. Let h be (1 - (-4 - 2))*1. Is c(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001000000001 (base 2) in base 14?\nAnswer: 4945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuszsuuuyyszy. Give prob of sequence yzzs.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)*(-6)\/74*(-6791)\/61119.\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895, 1669, 2377, 2995, 3499, 3865, 4069?\nAnswer: 4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*sqrt(112)*3)**2.\nAnswer: 16132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-6) - 3\/(1 - 19))*456\/(-380). Let d = -4 + 6. Determine f, given that 2*f - 14*f**c + 4\/3 - 40\/3*f**d = 0.\nAnswer: -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/((-3500)\/75)*(-3024)\/405. Factor 4\/5*v**2 + s*v**3 - 4\/5 - 28\/5*v.\nAnswer: 4*(v - 1)*(v + 1)*(7*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*l + 20. Let i be -3 + ((-64)\/l + -1)*1. Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(156) + (sqrt(156)*1*4 - sqrt(156)) - sqrt(156) - (sqrt(156) + sqrt(156)*-1*4)))\/((3*-2*sqrt(132) - sqrt(132))\/((sqrt(88)*1)\/sqrt(8))).\nAnswer: -12*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46665789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*-3 + 0 + 1. Suppose -s + 4*n + 98 = m*n, 0 = -3*s - 5*n + 302. Suppose l - 330 = -4*l. What is the greatest common factor of s and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800*o - 797*o + 2378*o - 790*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356865817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3232 - 3228. Let c(x) be the first derivative of -3\/4*x**o - 1\/3*x**5 - 7\/9*x**3 - 1\/18*x**6 + 0*x + 14 - 1\/3*x**2. Factor c(w).\nAnswer: -w*(w + 1)**3*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 276 = -291. Let i = -12 + 18. Suppose -15 = r*c - i*c. What is the remainder when c is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 4*t**2 + t + 3*t + t + 7 + 0*t + t**3 - t**4 to the form x + u*t**4 + j*t**3 + i*t + l*t**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 1546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 - 4*j**2 + 4*j**2. Suppose 5*i = 25 + 10. Let s(b) = 3*b**2. Let c(q) = -10*q**2. Let m(k) = i*s(k) + 2*c(k). Give d(m(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9222006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.63, -0.4, -5\/8, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 0*z**2 - 1\/6*z**6 - 137\/3*z**3 + 0*z + 0*z**4 + 12*z**5 + 101. What is the third derivative of h(i) wrt i?\nAnswer: -60*i**2 + 1440*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519, -1040, -1561, -2082?\nAnswer: -2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4536.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 59 = -5*b, -2*b - 4 = 2*b. Is -17 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5970 = 911*v + 1963 + 6643 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + y + 12*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2301665000 to the nearest one million.\nAnswer: -2302000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3 + 1. Let v(i) = 7*i**2. Give s(v(k)).\nAnswer: 147*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.5897138 to 0 decimal places.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*v = -2, 2*o + v = 3*o. Suppose 0 = -60*a + 56*a + 32. What is the remainder when (6 + o)\/((-1)\/(-2)) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.9 + 12. Let c = 16 + -15.97. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93704 divided by 7208\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 234031375 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 308828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -6 + -1 + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32475 + -14784. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 3*t + 1. Let f be s(4). Let a be 4 + (f + 0)\/3. Suppose -k = -a*n + k, -4*k = n. Is 1\/2 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -69. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9330*u**5 + 3*u**2 + 296*u - 6 wrt u?\nAnswer: 186600*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p + 25. Suppose -9*q + 13*q + 12 = 0. Let z be j(q). Let -1\/2*o**2 - 8 - z*o = 0. Calculate o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.2, 21, -8, -1, -1\/4, 1\/5, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 - 135. Let v(a) = a**2 + 5*a + 8. Let o be v(-4). Suppose 0 = -b + o*l + 10, -l = j*l - 12. Is 22 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23092670 divided by 1\nAnswer: -23092670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 14, 58, 120?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281111 is divided by 20079.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 + 160\/15 - (-1)\/3 and (8\/(-10))\/((-4)\/110)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -8 (c) 4782\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 - 6*o + 6. Let s be p(4). Let b be ((-22)\/(-33))\/(s\/(-3)). Let g be (-107)\/((-3)\/b - -4). What is g rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2299) + (sqrt(2299) + 1 - sqrt(2299)) + sqrt(2299))**2*2 + -5.\nAnswer: -352*sqrt(19) + 18419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696289 is divided by 54718.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 9.8 (c) -1\/6 (d) 5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppsppspsppsppppspp. Give prob of sequence pppp.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwcs when four letters picked without replacement from {y: 4, r: 2, m: 1, s: 2, c: 1, w: 5}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(7\/6)\/(m**(1\/4)\/m)**26*((m*m**1*m)**(-22))**(25\/4) assuming m is positive.\nAnswer: m**(-1178\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*z**3 - 5*j*z**2 - 39*j*z - 4*z**3 wrt z?\nAnswer: -12*j*z - 10*j - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -25 - (94 - 139)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.1, -0.16, -3, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2, 5*n = 3*n - 2*z. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467127.26 rounded to the nearest one hundred?\nAnswer: -467100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/27844 - -1024801\/16789932. Calculate the common denominator of -1\/27 and d.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**6\/6 - a**5\/2 + 5*a**4\/12 - 13*a - 2. Solve m(k) = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 times -11?\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**3 - 6*i**2 - i - 19. Let k be q(5). Suppose 4188 = 9*x - k. What are the prime factors of x?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 205*j - 3 - 199*j + 6*j**2 + 6. What are the prime factors of o(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*g**2 - 4*g + 15*g**2 + 4*g to the form z + p*g**2 + r*g and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 20*i**2 - 2*i - 20.\nAnswer: 2*(i - 1)*(i + 1)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -0.0608?\nAnswer: 1.9392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -11646984*r + 11646900*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 2, n: 1, y: 5}. Give prob of picking 1 j and 3 y.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 less than or equal to 1657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.2 - -53.2. What is the closest to -2 in k, -0.4, 1\/2, 2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -20*p**3 + p + 2. Let w be g(-2). Suppose -w = -4*m - 0*m. Let q be 6\/(-21) - (-228)\/14. Calculate the highest common factor of q and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10523 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f + 318*f = -254*f + 3*f + 67416 for f.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-8)\/k)*k\/(k*k**(-3)))**(3\/2))**(2\/41) assuming k is positive.\nAnswer: k**(42\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*d = -12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 70*m**2 + 518*m - 9139. Is 5 a factor of v(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*p - 2*y = -398*p + 46, 4*y - 2*y = -5*p - 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0 - 19\/20*g**5 + 0*g**4 - 3*g**2 + 8*g + 0*g**3. Find the first derivative of f(t) wrt t.\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(108)\/sqrt(3)*-2)\/(sqrt(192) + sqrt(192)*1).\nAnswer: -3 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 1960?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/14)\/(8 + 114\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/480)\/((-64)\/(-576))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + 99. Let x be (1632\/72 + -21)\/((-3)\/216*-10). What is the highest common divisor of q and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 11*y = -2*y. Let z(w) = 5*w**2 + 2*w - 2. Let h(q) = 3*q**2 + q - 2. Let r(p) = -3*h(p) + 2*z(p). Calculate r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let h(y) = -3*y**2 + 229*y. Calculate h(v(q)).\nAnswer: -3*q**2 - 229*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152833825.\nAnswer: 5, 17, 43, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2509, 2520, 2537, 2560, 2589?\n\"Answer: 3*f**2 + 2*f + 2504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2 - 976*c + 59536 = 0.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2. Let p(a) be the second derivative of a**4 - a. What is p(r(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000083795 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -16. Suppose -22 = 9*l - 67. Suppose -11*h = -l*y - 16*h + 20, 0 = -5*y + 2*h - 1. Calculate the highest common divisor of y and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 - 100. Which is greater: g or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/157 not equal to -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1573) - (sqrt(1573) - (-1 + sqrt(1573)))))*2)**2.\nAnswer: -528*sqrt(13) + 6436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641620 rounded to the nearest ten thousand?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 18. Let p be x(-10). Suppose -5*v = 5*j - 285, -5*v + j = -p*j - 309. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*-4*6\/528*55. Solve u*j = 73 - 13 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1635093\/8 and 204386 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 73 + 93 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34.02117 millennia?\nAnswer: 3402.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556675?\nAnswer: 5, 7, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4946*d + 9895. Calculate q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r**2 - 15*r + 5. Let w(i) = -11*i**2 + 14*i - 4. Let b(k) = -4*f(k) - 5*w(k). Let d(s) = -2*s**2. Give d(b(x)).\nAnswer: -98*x**4 + 280*x**3 - 200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*h = -180*h + 729. Calculate the remainder when 322 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346805 by -104.\nAnswer: 346805\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 3, z: 5, r: 3, e: 2}. What is prob of picking 1 q and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 0. Suppose 0 = -5*n + 10, 5*w - n - 4*n + 20 = o. Let k(d) = -10*d + 3. What is the tens digit of k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 52*a**2 - 4*a. Let j(o) = 3225*o**2 - 250*o. Give -4*j(k) + 250*r(k).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4cec2f + -3?\nAnswer: -4cec32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 27 - 44 + 2*x + 23 + 10*x. What is n(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**3 - 6*x**2 - 6*x. Let y = 195 + -199. Let z be -1*(-2)\/y*708\/59. Let t(j) = 140*j**3 - 119*j**2 - 119*j. Give z*t(m) + 119*f(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/16606895 and 113\/132855160.\nAnswer: 132855160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.24.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -535.542539 to zero dps.\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -1. Let r = 12 + z. Solve 5*b = 4*v - v - 26, -2*v + r = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -4.5109.\nAnswer: -4.8109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, c: 5}. Give prob of sequence xxcx.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14777 is divided by 189.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 12*v + 25. Let h(s) = 18*s**3 + 54*s - 100. Let o(b) = 2*h(b) + 9*n(b). Let i(p) = -3*p**3 - 8. Calculate -17*i(z) - 6*o(z).\nAnswer: -3*z**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1709191.8 times 0.1?\nAnswer: -170919.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z + 24 = 21*z. Let h(u) = -u**2 + 4*u + 0*u**2 - 1 + 6. Give h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2160 - -2161. Let m = 5621\/15878 - 1\/934. Are z and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-20) + (-39)\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 25040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 6*y + 1035. Let l = -187 - y. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3)*-3 + 0. Suppose -w = l + 3*l + 2, -2*w - q*l = -6. What is the remainder when w + -6 - (-31 - -1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6. Let j(o) = 5*o**2 - o + 1. Let i be j(1). Let x = i - h. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -57*j**3 + 3*j - 28. Let y(d) = 113*d**3 - 5*d + 55. Let p be ((-51)\/(-68))\/(6\/40). Let u(n) = p*s(n) + 3*y(n). Differentiate u(t) wrt t.\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 73.5. Let z = -49 + j. Let w = -0.5 + z. What is the smallest value in 0.4, w, -1\/53?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 478 - 740*g**3 + 653 + 4606*g**3 + 5329*g**3 wrt g.\nAnswer: 27585*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*a + 12 = 0, -3*j - 9 = -2219*a + 2222*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -731508.4 rounded to the nearest 1000?\nAnswer: -732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2035425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(11) + -1 + sqrt(11)) + (-1*sqrt(132))\/sqrt(12))**2 - ((sqrt(11) - sqrt(121)\/(sqrt(11) + (sqrt(704) - sqrt(11))))*3 + -1).\nAnswer: -117*sqrt(11)\/8 + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9936303*o**2. Let f(z) = -z. Calculate w(f(s)).\nAnswer: 9936303*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - 127. Which is the fourth biggest value? (a) -9 (b) 3 (c) k (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 4137. Let o(q) = 1877*q. Calculate f(o(x)).\nAnswer: 3754*x - 4137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:33 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(18\/3)*(-8)\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3261.05 + 4.7822\nAnswer: 3265.8322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 931 = 34291*a - 34424*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 135430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29528608 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16272 and 1329210.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -3) + (-2)\/(-1). Suppose -330 = -k*v + 4*v. Suppose v = 6*m - 280. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 + 2. Let k(h) = -3*h**3 - 2*h**2 + h - 7. Let b(l) = -2*k(l) - 7*p(l). Suppose b(i) = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 2*v, 3*v - 28 = -v - 4*k. Let w(c) = -45 + c**3 + 83 - 45 - 2*c**3 + 3*c - 4*c**v. Calculate w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*u - 867 + 39 = 0, 5*y - 4*u = 1026. What is the remainder when y is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*b - 34, 0 = 2*g - 2*b - b - 5. Suppose -6 - 8 = -g*j. Solve -r - j*r + 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -415, -368, -267, -112?\n\"Answer: 27*b**2 - 34*b - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/63 + (-220)\/(-18). Let m be (-3)\/(-18)*3*g. Suppose -42*q = -2123 + 611. Calculate the highest common divisor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -63*y**2 + 15*y - 40. Give m(3).\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 10:58 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let k(t) = -4*t. Suppose -18*c = -24*c - 24. Let f(g) = g. Let p(r) = c*k(r) - 24*f(r). Calculate p(x(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26776 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 - 1.6. Let m = 0.78 - -2.32. Let k = m - r. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9841*a + 19743*a + 4 - 9792*a in the form b + z*a and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 2*s - 3. Suppose 0*t + 4*t = 12. Suppose -t*n + 1 = -14. Let u(v) = 2*v**2 - v - 1. Give n*u(q) - 2*y(q).\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649501.\nAnswer: 7, 61, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 654277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102221120 (base 3) in base 16?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -182381, -182456, -182531?\n\"Answer: -75*i - 182306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9186943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Let v = -1\/23 + 32\/207. Let t = 1837\/57 - 97\/3. What is the closest to t in -1, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4149848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20*40\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:50 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 2.5. Let k = r - -1.2. Do -2 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 0 - -34) + (-3)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvtltsllhlhhsssls. Give prob of picking 3 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -601905180735955 + 4?\nAnswer: -601905180735951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 3:43 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 663, 987, 1305, 1617?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19\/3 (b) -0.3 (c) -3\/4 (d) -108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 5. Suppose -x = 4*x - 180. Let k be x\/16 - 2\/8. Solve k*m - f*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-2))\/(2\/(-3)). Let w = 23 - o. Is w <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 4 + 4 + (3*a - 4*a + 3*a)*(-315*a - 564*a + 206*a + (2 - 1 - 2)*(-2 - 2*a + 2) - 2*a + 4*a + a) as x + w*a + c*a**2 and give c.\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**2 + z**2 + 3*z**2)*(-z**2 - 4 + 3 + 3) to a*z**3 + t*z**4 + s + b*z + d*z**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*o + 49 + 40 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 + -15 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 17, a: 2}. What is prob of picking 1 a and 2 q?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1005, 1049, 1123, 1227?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -8 + 0*y**2 - 2\/9*y**3 + 3*y - 1\/18*y**4. Let g(f) be the first derivative of r(f). Determine d so that g(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42015 + 0?\nAnswer: -42015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 41 - (3 + 16) - (8 + 1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-16))\/((-45)\/72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(2 + 3 + -3). Which is the fourth smallest value? (a) -0.02 (b) -0.2 (c) 0.3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 248061, 247845, 247629?\n\"Answer: -216*x + 248277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 1:44 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212023 (base 4) to base 3.\nAnswer: -22222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 5. Let j be x(4). Suppose -j*d = -d - 4. Solve 3*i - a = 11, 4 = 6*i - d*i - 4*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1536 and 2736?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*o**2\/5 - 291*o\/5 - 18.\nAnswer: -(o + 15)*(19*o + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -66. Sort 4, t, -2, 3 in decreasing order.\nAnswer: 4, 3, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, 1, -11, 11 in increasing order.\nAnswer: -11, 0.16, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/(-111)*(6\/190)\/1)\/(147\/735)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*y + 353 = 355, a = 3*y + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -662\nAnswer: -1\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/247620 and -69\/181588?\nAnswer: 2723820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 3*t = -13*y + 8, -5*y - 3*t = 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*o - 19*o + 51*o + (-o - 4 + 4)*(1 - 6 + 10) + 0 - 2*o + 0 to m*o + y and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q = 16. Calculate the common denominator of q\/96*129\/2 and 11\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*x + 20, 0 = 4*x - 2 - 6. Let k(s) = s + 7. Let a be k(o). Suppose j = -a + 2. Is 2 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*(-5)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154.801 - -182.8086. Let v = h + -28. What is v rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 12226?\nAnswer: -12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -2*x + 4*c + 186, 3*x = -5*c + 282. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*s*x**2*z**2 - j*s + j*x**3 + j*x*z - s*x*z + 3*x**3*z**2 + 2*x**3 + 11*x**2*z**2 wrt j?\nAnswer: -s*x**2*z**2 - s + x**3 + x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/56*-4 - 0. Which is greater: h or -19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571 is divided by 659?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1987623 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-3 - -2))\/((650\/3848)\/(-25)). What is the greatest common factor of 2294 and y?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 + 15 + 0*i - 4*i**2 - 2 + 10*i. Let b be p(-9). Solve -3*o - 8 = 2*k, 3*k = -b*o - 12 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040062064 to 6 dps.\nAnswer: -0.000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 68. Suppose 2*s - 5*j - u = 0, 2*s = -5*j + 2*j + 54. Suppose 0 = 3*y - 0*y - 285. Calculate the remainder when y is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/60 + 7*j**4\/24 + 2*j**2. Let t be g(5). Let q = t + 1. What is the greatest common factor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58368)\/832 - -69) + 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(10\/3)*-2. What is the closest to 2 in -2, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 4*r**2 - 2*r**2 - 3*r**2 - r**2 + 0*r**2 + (1 + r - 1)*(2*r + 0*r + 0*r))*(-1 + 4 + 0).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2314 or -2162?\nAnswer: -2162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/2100 and -103\/887600?\nAnswer: 2662800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3*33\/(99\/(-10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575*x + 1118 = -573*x. What is the greatest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1020*a**5 + 24*a - 9?\nAnswer: 20400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -106, -165, -254, -379?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2124567.6 months?\nAnswer: 17704.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a millennium in centuries?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 113 = -10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 212.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 4)*(-74 - 3163*x - 34 + 3165*x) + (-x + x + 3*x)*(3 + 1 - 2) as y*x + l and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -543060 divided by -1\nAnswer: 543060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4739101, -4739102, -4739103, -4739104?\n\"Answer: -t - 4739100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 2*j, -2 + 0 = -4*c + 2*j. Let s = 46 - 22. What is the highest common divisor of c and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (87\/145 - 2123\/(-45)) + 2\/9. Solve a - 72 = 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Suppose 2*y - 8 = -2*y. Factor -3*p**2 + 0*p**y - 2*p**3 + k*p + 3*p**4 + 0*p**2.\nAnswer: p*(p - 1)*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (96 - 2) - (-134 + (35 - -99))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116080 - -233243\/2. Factor -3\/2*j**2 - p + 57*j.\nAnswer: -3*(j - 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6868 is divided by 434.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 171 = -229. What is the remainder when 199 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -0.1, -28, 215, -1\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 2, v: 2, t: 1, b: 1}. Give prob of sequence tg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5 + -0.5. Let t = n + -7. Which is the second biggest value? (a) -0.1 (b) t (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/7, 1, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(21\/4))**(-47) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:36 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -4\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 129?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 362 + -5432\/15. Let v be 10\/(-20) + (-3)\/(-18). What is the nearest to -0.1 in v, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p + 1503 - 5*p - 24*p + 19*p - 9*p - 2*p**2 as m + x*p + b*p**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n + 68. Let q be m(-13). Calculate the greatest common factor of q and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*r)*(-4859*r + 9231*r - 19399*r - 15676*r) in the form y*r**2 + w + v*r and give y.\nAnswer: -92109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1032610302 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 13248766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 543 in -5\/2, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*4*(-4)\/(-48). Let f(v) = v**2 + 6*v - 2 + g - v + 1. What is the units digit of f(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-14))\/(1955\/49 - 40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 11\/149, -3\/4 in ascending order.\nAnswer: -3\/4, 11\/149, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113973*l = -113987*l - 210 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from fbnqfenbkkbqqnbk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2*(-3)\/(-18)*-1). Is (3\/r)\/(3\/(-6))*8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21805 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -776 + 778. Let s(x) be the second derivative of -x**4\/12 + x**3\/6 - 9*x. Give s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5657 is divided by 78.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2\/9, -0.5, -0.2, 136\/15?\nAnswer: 136\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 135, 262, 385, 504, 619?\n\"Answer: -2*k**2 + 133*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6947578 to the nearest integer?\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 + 2*x - 6. Let q(j) = -7*j**2 + 4*j - 11. Suppose 16*v = 2*v - 70. Calculate v*f(p) + 3*q(p).\nAnswer: -p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*f = 2, -f = -2*n - 0*n + 11. Suppose n*g + 38 = 7*g. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y - 3*y + 1100 = -12*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7512 divided by 212?\nAnswer: 1878\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6049 - 1649. Round j to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3154201833 to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k - 181. Give h(5).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-8) + 26\/4. Let f(p) = -13*p**3 + u - 2*p - 4*p**2 + 11*p - 3 + 11*p**3. List the prime factors of f(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-8) - (-239272)\/352. Let n = -683 + r. Let l(t) = -3 - 2*t**2 + 5*t - t**2 + 4*t**2. Give l(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 107?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = -88. Find the third derivative of 16*c**6 + 26*c**2 + 96 - o wrt c.\nAnswer: 1920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12987\/7 + (-2)\/7. Let z be 4\/(-6) - (-730)\/n. Let q = z + -2\/159. Sort q, -1, -0.4 in decreasing order.\nAnswer: q, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29862)\/(-49))\/(-27)*(105\/(-10) + 7)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67\/105 + 1\/35. Let c = 1.4 + -1. Sort -5, c, o in ascending order.\nAnswer: -5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 2242914.\nAnswer: 4485828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 0*h - 207*h**3 - h + h.\nAnswer: -207*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(14\/(-3))\/2. Let q(m) be the first derivative of m**4\/4 - 8*m**3\/3 + 7*m**2\/2 + 2*m - 2. What is the units digit of q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p**2 + 6*p + 9. Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-15))\/(8\/(-20)). Let a be 4 + (3 + p - -2). Suppose -b + 16 = b + 2*l, -b + 3*l - 8 = 0. Solve -b*y = -a - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 1. Calculate j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 79, 136, 213, 316, 451, 624?\n\"Answer: v**3 + v**2 + 33*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 133? (a) -16 (b) 0 (c) -2\/5 (d) 0.4 (e) -0.2 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217 and 49308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.2, -74\/5, -0.2.\nAnswer: -74\/5, -6, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anusaub. Give prob of picking 2 u and 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = 85. Let v = 0 + h. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - l - 6. Let j(b) be the second derivative of -11*b**4\/12 - b**3\/2 - 17*b**2\/2 - 11*b. Calculate -6*j(a) + 17*z(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*u + 2*u - 380, -4*r = 2*u - 192. Suppose -4*k - 5*p + 212 = 10, -2*k + u = -p. What is the remainder when k is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22116 + 286750 = 5385*m - 159629 for m.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -50\nAnswer: 11\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -193*u**3 + 69*u**2 - u + 2. Let h(t) = -3*t**2 - 1. Let l(z) = 2*h(z) + v(z). Find the third derivative of l(o) wrt o.\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let r = -16 + 17. Which is the second biggest value? (a) r (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Suppose -s - 11 = -i*s - 3*g, -g + 22 = 4*s. Which is the second smallest value? (a) s (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 11*z + 2. Let p be i(11). Let s(u) = -3*u**2 - 3*u**2 + 2*u**p + 5*u**2. Let m(q) be the second derivative of -q**4\/12 + q. Give s(m(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 176188.\nAnswer: 176188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, d: 1}. Give prob of picking 1 p and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 1. Let d(j) = -6*j**2 + 3*j + 7. Let f(k) = -d(k) + 5*o(k). What is the tens digit of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 218\/(-34) - (10 - 16). Sort 0.1, m, -1, -0.5 in increasing order.\nAnswer: -1, -0.5, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -367*u**3\/3 + 25*u - 3. Let b(x) = x. Determine z(b(l)).\nAnswer: -734*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 35514.43ml?\nAnswer: 35.51443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2680 times 0.5\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, 5 in descending order.\nAnswer: 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -442*t**2 - 435*t. Let k be b(-1). Let w(s) be the first derivative of 1\/2*s**2 + 1 + 0*s. Give w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(1375) - sqrt(1375)) + sqrt(1375))*-1)\/(-2*(sqrt(5) - ((sqrt(220)\/sqrt(4))\/sqrt(11) + sqrt(5)))).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 times -432?\nAnswer: 58752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 + (-139)\/3. What is the common denominator of 2\/6 - b\/48 and 384\/(-160)*69\/48?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f - 57*f - 15 = -5*u, -5*f + 20 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 37*l - 18. Let s(v) = 21*v**2 + 6*v + 7. Let k be s(l). Solve -k = 5*b - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(1 - 2 + 2) + (-1 + 0 - 1)*(0 - 4 + 1))*(-92*p**3 - 3143*p**5 + 3144*p**5 - 141*p**3).\nAnswer: 4*p**5 - 932*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -4*o + 2*h, -o + 2*h + 64 = -71. Calculate the remainder when o is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316236788.\nAnswer: 2, 7, 17, 107, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*n + 4204, 4073 = 3*n + 5*x - 111. Is 61 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 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 highest common factor of 980 and 1820.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - 0) + (-416100)\/10220?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 76 (b) -1\/3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*t = -2*t + 36, -34 = -2*g - 3*t. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - -4. Suppose 4*k - b + 3 = -5*i, -3*i + 2*k = -24. What is the remainder when 31 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74756 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1164 - -955.6. Let q = -208 - x. Which is the second smallest value? (a) -0.4 (b) q (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 - 2*s. Let u(x) = 3*x**3 - 11*x**2 - 5*x. Let j(d) = 7*o(d) - 3*u(d). Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/7 - 3*f**4\/7 - 918*f**3\/7 - 2538*f**2\/7 + 8019*f\/7 + 23085\/7 = 0. Calculate f.\nAnswer: -15, -3, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 8*g + 4*b + 31, -3*b - 6 = -2*g. Put -2\/5, 2, g, 4 in descending order.\nAnswer: 4, 2, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12692 - -35241. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(6461\/462 + -14)*-1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7426 = -1930. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -680129.9749 and 2.207?\nAnswer: 680132.1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppeppppyyp. What is prob of sequence ypey?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51203696 = -10*n - 9803696. What is n rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 15*t**2 + 673*t - 837. Give y(34).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {m: 11, p: 7, d: 1}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from eetgeeltgtbeteel.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(4*c - 1 + 1)*(0 - 3*c + 0 + (-6*c + c + 3*c)*(-4 + 3 - 1))*(-3 + 0 - 6).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = d - 15, -4*n + 7 + 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = m - 14, 3*m + 10 = 5*q - 8. Let w = -42 + 90. Suppose -5*y + 0*y - q*v = -33, 4*y - 3*v = w. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/(6\/27). Let s = r + 0. Find the third derivative of s*u**2 - 3*u**2 - u**2 - u**6 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + 94d4c?\nAnswer: 94d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {j: 1, v: 1, q: 2, l: 2, b: 8, m: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1697376, -1697384, -1697394, -1697406, -1697420, -1697436, -1697454?\nAnswer: -1697474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -212*v + 3. Let k be l(5). Let r = k + 5333\/5. Calculate the common denominator of 119\/6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*m - 2*h - 0, 0 = -h + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from kvd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011603862 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:42 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:15 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/94?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1cc4 (base 16) to base 14\nAnswer: -2980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/75 + 224*z**4\/15 + 100352*z**3\/15 + 34*z**2 + 7*z. Determine t, given that p(t) = 0.\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 + 616*v - 26*v**4 + 9*v**3 + 357*v + 25*v**4 - 2*v**2 - 12*v**3 as a*v**4 + n*v + j*v**3 + k*v**2 + p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33*44\/(-968))\/(2\/6)*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781403559?\nAnswer: 3, 107, 2434279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4255853211.\nAnswer: 3, 29, 139, 39103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 24 and 974\/39 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4936040803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17638944 a multiple of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 19.1. What is the closest to o in 6, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -940, -1613, -2742, -4327, -6368, -8865?\n\"Answer: -228*g**2 + 11*g - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -374, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.5, 1, -2\/15, 199?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -8. Let v be u\/(-4)*(5 - 7). Let c be (-13 - v)\/4 - -3. Put -6, -2, c in increasing order.\nAnswer: -6, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.6 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/9)\/((-12)\/(-13770)). Are 766 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -938 or -953?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34308\/13 in 3, -4, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 4*u - 20. Suppose -5*f - 3*y - 36 = 0, -349 + 341 = 5*f - y. Determine h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:48 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 4*x**2 + 9*x + 4. Let t(b) = b. Let c be t(5). Suppose -g = 2*g - c*w + 8, -w + 10 = -2*g. What are the prime factors of a(g)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gub when three letters picked without replacement from {b: 1, u: 1, g: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 11*x + 168. Let b be (0 + -80)*(x\/16 + 3). Suppose 2*w - 362 = -b. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2126*y + 55292. Give d(26).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umy when three letters picked without replacement from {z: 3, y: 3, m: 1, u: 1, j: 2, o: 2}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 53*x**2 - 20*x - 4. Let r be c(2). What is the highest common factor of r and 3976?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(112\/(-12))\/7. Let m be (28\/(-20) + 1)\/(r\/(-10)). What is the biggest value in m, -0.2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.037 (b) -0.1 (c) -0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 3\/2)*38. Suppose 2*b + 5*i + 8 = 19, 5*b - i = n. Calculate the common denominator of 83\/6 and ((-158)\/(-10))\/(b\/(-15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1004.764 - -1007. Let a = q - 0.236. Put a, -17.7, -0.2 in ascending order.\nAnswer: -17.7, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335675039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 2. Suppose 0 = -5*c + 10*c - 15. Suppose -c*a + 2*y + 19 = 0, 0*a - 3*y - 9 = 2*a. Let p be ((-2)\/a)\/((-12)\/36). Determine t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1881 and -83\/1368.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to -2757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*h)*(2*h - h**2 - 2*h) + (-h**2 + 0*h + 0*h)*(1 + 0 + 0)*(-16*h - 13 + 13).\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssssfhshfhfh. Give prob of picking 4 s.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5186792 divided by 2593396\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 4. Give x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3079602316.\nAnswer: 2, 7, 8161, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262329 (base 10) to base 12.\nAnswer: 107989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0, -7.7, 0.3, 32, -0.23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -11 - (6 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946 a factor of 588038388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 63 = 2*k. Let o = k + 93. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 6, m: 3, y: 3, i: 3}. What is prob of picking 1 m and 2 i?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 3*t + 87 = 0, t = -5*l + 153. Suppose 9 = 34*c - l*c. Suppose 53 = c*m - 295. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*t + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10719 is divided by 833.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11011011211202 (base 3) to base 14\nAnswer: 416962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + 243\/45. Suppose 47 = g*d - 38. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 916*r + 6505. Let q be m(-7). Put q, -109, -3 in descending order.\nAnswer: q, -3, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 74*k**2 + 535*k - 462.\nAnswer: (k - 66)*(k - 7)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 787665, 787663, 787651, 787623, 787573, 787495, 787383?\n\"Answer: -f**3 + f**2 + 2*f + 787663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68159875 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (8*-13)\/(9\/(-2) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69\/6*(-74)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.436 + 0.436. Which is the nearest to f? (a) -4 (b) 7 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:34 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2230081\/480 + -4646. Let b(n) be the third derivative of 1\/96*n**4 + 0*n**3 + 0 + 0*n - o*n**6 + 0*n**5 + 3*n**2. Factor b(a).\nAnswer: -a*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97811 is divided by 317.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2184897*v**3 + 39*v - 16773?\nAnswer: -13109382*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**2 + 454980*i = 0.\nAnswer: -90996, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3\/3 - 226108*w**2\/3 + 1809152*w - 10855488 = 0.\nAnswer: -113078, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.46871 to 1 decimal place.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(77)*1)\/(sqrt(567) - (sqrt(567) + (sqrt(567)*-4 + sqrt(567))*-2 + sqrt(567))).\nAnswer: sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 153 * 7\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (1 + (-1 - -3 - 3)). Suppose 5*o = -5*b + 15, -x*o - 13*b + 12 = -12*b. Solve 0 = -o*r + 15*r + 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzzzzzzzzwzzz?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13990 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -13694.1 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69819057 is divided by 1347.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 + 3*p + 1. Let h be u(-3). Solve 6 - h = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 13, -18, -73, -158, -279, -442?\n\"Answer: -g**3 - 3*g**2 + 3*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkgg when four letters picked without replacement from kkgkvvgkkkkk?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-45 + -48 + 80 - 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**0\/b)**(7\/4)*((b\/(b*b\/b**(-2))*b)\/b)**15)**(-47))**(26\/3) assuming b is positive.\nAnswer: b**(105703\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8384 and 512?\nAnswer: 67072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 318032 divided by 79508\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 17*b + 14*b + 3 = 0, 2*b = -5*y + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u + 352 = -50 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19219049?\nAnswer: 271, 70919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127\/2, 5\/6, 70\/201, 3\/5 in descending order.\nAnswer: 127\/2, 5\/6, 3\/5, 70\/201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1470*b**2 + 140*b - 18. What is the tens digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1782*h - 358148. What is y(201)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/24 + 14 + -17 and 14\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 3*b + 2. Let d be g(-2). Suppose -14*f = -15*f. Put f, d, -2 in descending order.\nAnswer: d, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -14. Let k = -6465 + 6465.3. Which is the smallest value? (a) j (b) 2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/42797 and -26\/128391.\nAnswer: 128391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 59 = 2*k, 3*w - 50 = -4*k - 1 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66164.2*-5.\nAnswer: 330821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 83986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0544, -0.1, 1\/2, 3\/4 in decreasing order.\nAnswer: 3\/4, 1\/2, -0.0544, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -3 (c) -3\/428 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.677*0.0162.\nAnswer: -0.0109674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152517120 and 213523968?\nAnswer: 1067619840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7207 and 216.9.\nAnswer: -1563198.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 4, e: 6}. What is prob of picking 2 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 5*t, 1 = -3*o - 53*t + 55*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43339, -43495, -43661, -43837, -44023?\n\"Answer: -5*x**2 - 141*x - 43193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/2 (b) 23 (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54266646, -54266628, -54266608, -54266586, -54266562, -54266536?\n\"Answer: f**2 + 15*f - 54266662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 5*o**2 + o - 7. Let f be a(-4). Suppose f*y - 25 = 2*p - 0*y, 3*p + 3*y = 15. Solve 4*j - 3 = u + 4*u, p = -3*u - 3*j + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32209880 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*g + 325*g + 443*g + 354*g as r*g + w and give r.\nAnswer: 989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 36?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 5*b**2 + 3. List the prime factors of x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(2 + -3). Let i = 2 + q. Is 12 a factor of i\/4 - 188\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.62, -0.4, 12, -5?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 4*w - 4*w)*(0 - 4 + 6)*(127*w - 151*w - 109*w).\nAnswer: -532*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 2, k: 3, e: 2, j: 1, r: 3}. Give prob of picking 2 r and 1 w.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 4*k**2 - k**2 + 0 + 11.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -3\/40*i**5 - 3*i + 1\/6*i**4 + 0 - 1\/2*i**2 + 1\/12*i**3. Factor m(s).\nAnswer: -(s - 1)**2*(3*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 915, -2, -97\/12 in increasing order.\nAnswer: -97\/12, -2, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01184511399 and -0.3.\nAnswer: -0.31184511399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2 - 611738*b + 611739 = 0.\nAnswer: -611739, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 32 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.94436 centuries in decades?\nAnswer: 519.4436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007480132 rounded to 7 dps?\nAnswer: 0.0000748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4885.351ng in grams?\nAnswer: 0.000004885351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096429289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 451*o**2*w**3 - 16*o*w**3 - o*w - 2*w**3 wrt o?\nAnswer: 902*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119642092529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46197.\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-168)\/(-20) - (-4)\/(-10). Let d = 5 - a. Is (d\/(-9))\/((-1)\/(-147)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 7*k + 17*k + 4*k - 50*k - 11*k + 29*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3411 + 5868. Let m = -1562 + z. Calculate the remainder when m is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/2))**(-7\/2) assuming k is positive.\nAnswer: k**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(180) + 5 + sqrt(180))*4.\nAnswer: 192 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 12759.\nAnswer: 1\/4253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42656, -42674, -42722, -42818, -42980?\nAnswer: -43226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = -9*w - 5*l, 4 = w + 2*l. Let q be 0 - (-1 - -1) - w. Solve a + q = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39236261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htgdtthdhw. What is prob of sequence dtd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r - 64. Calculate the remainder when (124\/r)\/((-2)\/8) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m + 48 = 5*r + 55*m, -6*r - m + 55 = 0. Which is the closest to -1? (a) 0.2 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13609.71 and 0.5.\nAnswer: 6804.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 170 = -4*w - 47, -3*b + 35 = w. What is the units digit of ((-30)\/(-20))\/(6\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36829776.\nAnswer: 2, 3, 767287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31181196 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = 1692 - 1622 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-11))\/((-2214)\/(-48708)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302 - 295. Let j be 2\/(-11) - (-210)\/66. Solve n - j = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -51\/2. Let p = 0.17 + 0.02. Let o = 0.19 - p. Which is the nearest to o? (a) v (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 34*u**3 - 62*u**3 + u.\nAnswer: -96*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -387 + 767. Let b = t + 31. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12212 + -21?\nAnswer: -12233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/1320)\/((10\/(-40))\/1)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 184 - 44. Find the third derivative of z*w + 8*w**3 + 2*w**2 - 57*w wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 3*y + 3. Determine c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -1\/12*n**5 - 250\/3*n**3 + 0*n + 25\/6*n**4 + 0 - 123*n**2. Factor r(y).\nAnswer: -5*(y - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 + 2*t**2 + 3*t + 3. Let l be (-3)\/(-3 + (1 - -1)). Let x(s) = -9*s**3 - 4*s**2 - 5*s - 5. Calculate l*x(r) + 5*z(r).\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 54. Suppose 151 = j*x + 115. Let q be (-2)\/6 - x\/72. What is the biggest value in -0.2, -10\/3, -5, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 2*n**2 + n + 6. Determine s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -56816*t. Let i(o) = 2*o - 7. Give i(z(m)).\nAnswer: -113632*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31588 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-35) + (-8 - (-1413)\/180)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/12)\/k**5 assuming k is positive.\nAnswer: k**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + (2\/3)\/(29\/(-174)). Let u(m) = 104*m**4 - 20*m**3 - 276*m**2 + 250*m - 64. Let a(i) = i**4 - i**3 - i. Let q(y) = r*a(y) + 2*u(y). Factor q(s).\nAnswer: 4*(s - 1)*(s + 2)*(7*s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -76 (c) -5 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9 + 7. Let o(g) be the third derivative of 0*g + 1\/840*g**8 + 0*g**3 + 0*g**5 + 0*g**7 - g**2 + 1\/60*g**p + 0 - 1\/150*g**6. Factor o(r).\nAnswer: 2*r*(r - 1)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n + 2*z + 8 = 0, 3*n + 15 = -3*z. Let p be 1*n\/(16\/1). Let c be ((-3)\/(-1))\/(-13 - -12). What is the smallest value in p, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 21 + -6 + 20 + -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, a: 3, c: 5, y: 5}. Give prob of picking 1 a, 1 k, and 1 v.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/(-35))\/(1\/10). Let k = y - -53. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3386\/11 + 308. Which is the second biggest value? (a) q (b) 0.1 (c) 3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*c = 306 - 273, 5*r = -4*c + 109. What is the remainder when 748 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7104 and 13008?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 44455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 y when three letters picked without replacement from {e: 11, y: 6, a: 1}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -3166 + 2050. What is the least common multiple of 10 and l?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 1. Let v be m(-2). Suppose k + 4 = -0*k + 4*t, -v*k + 3*t = 3. Solve k = 5*h - 11 - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20163 or 20162?\nAnswer: 20162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 + (-1 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*s**3*u**4 + s**3*u + 15*s**3 - 2*s wrt u?\nAnswer: -92*s**3*u**3 + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = -0. Suppose -p + 20 = 2*p + 2*w, p - 12 = -i*w. Calculate the least common multiple of 111\/(-74)*(-6)\/9*8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18796 and 738632.\nAnswer: 27329384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11748 is divided by 1231?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 207.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 5*r - 1 = -a, 0 = -4*r - 8. Let m(d) = -5*d**3 + d**2 - 1. Let o(l) = -l - 4. Let j be o(-5). Let f be m(j). Are f and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n**3 - 6*n**2 + 5*n - 11. Let z(w) = 2*w**3 - w**2 - w + 1. Let x(b) = -r(b) + 6*z(b). Find the first derivative of x(p) wrt p.\nAnswer: -3*p**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**5\/60 - f**3 - f**2. Let j be (0\/5)\/(-3 - -1). Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 14*z**2 - 7*z - 254. Calculate x(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8292?\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25*b - 175. Let u be k(7). Suppose u = 58*f - 59*f + 5107. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d8ed + -94?\nAnswer: 1d859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 28*y**3 + 16*y**3 - 32*y**2 + 25*y**2 to the form f + j*y**3 + l*y + s*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 245. Let b(v) = -3. Calculate 4*b(d) + g(d).\nAnswer: -d + 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/((-130)\/(-208)*-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 4\/(-6))*63\/42. Suppose 0 = -5*x + 5, 5 = 2*f + 5*x - 50. Calculate the highest common factor of o and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*r + 33 = 0, -2*n = -n + 2*r - 5. Solve f + 3*m = n, -2*f + 1 = -3*f - m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:12 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 19*d = 114. Let u = d + -22. Is 20 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwprbbcwb. What is prob of sequence rbw?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152433215 (base 6) to base 16.\nAnswer: 30f48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1386578*m**2 + 141344172*m wrt m.\nAnswer: -2773156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 3 - 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87180 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1412 - -660. Let d = s + 7863. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -22. Let p(x) = x**3 + x**2 + 1. Let w(l) = 3*l**2. What is s*p(z) + w(z)?\nAnswer: -2*z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233520 (base 9) to base 16.\nAnswer: -22467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one fifths of a hour?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (1\/1 + -1). Let p(o) = 2*o**2 - 10*o + 2. Let m be p(0). Suppose 0 = k*h + 16, 2*a + m*h + 4 = -3*h. Which is bigger: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a. Let l(z) = -29454*z. Determine l(h(x)).\nAnswer: -235632*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**2 + 7*s + 33. Let y(k) = 11*k**2 - 8*k - 32. Let h(j) = 7*b(j) + 6*y(j). Is h(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-65)*((-63)\/(-6))\/1. Let q = t + -6419\/520. Let l = -24373\/6 + 4075. What is the common denominator of q and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 72 = -2*x - 2*x, -2*n + 27 = x. Let d be (-7215)\/n - 6\/8. Let z = 1242 + d. What is z rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.078 and 2308.\nAnswer: -180.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610373.\nAnswer: 347, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 14. Let s(p) = -p - 21. Let n be s(-33). Determine u(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2. Let l = 5 + -2. Let k(p) = -l*p**2 + 3*p**2 - 3*p**2. Determine k(h(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -2*i**3\/3 + 5*i**2\/7 + 4*i\/7 + 4. Factor f(t).\nAnswer: -2*(t - 1)*(7*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 10 - 46. Solve -4*a + 2 = d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j - 13. Let b be o(-9). Let d be (2\/b)\/(-1)*1. Let y = -36\/7 - -338\/63. What is the third biggest value in 1, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-150))\/(((-8)\/(-32))\/(((-8)\/(-1))\/64))?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670652189?\nAnswer: 3, 61876007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-79)\/(-1))\/(1 + -2). Let b = m + -57. Suppose 4 = -4*p, 7*h = 4*h + 4*p + b. Is h at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -3)*(-4 - (132\/(-24) + 5))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3661068 - 3638248 = -163*c for c.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 + 37840*t - 15648155 = 0.\nAnswer: 439, 7129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 354*g**3 + 11*g**2 + 4*g - 9. Let k be t(3). Calculate the remainder when ((-18)\/21)\/((-90)\/k) is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - 2*sqrt(152)*-5)\/(-4*sqrt(40)\/sqrt(5)).\nAnswer: -11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22253848 to the nearest integer?\nAnswer: 4717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27*(-15)\/(-45) + 24\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 190024.\nAnswer: 190025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - 4*x**4 - x**4)*(3 - 2 + 1) + (-18*x + 132*x + 6*x)*(18*x**3 + 39*x - 39*x) - x**4 - x**4 + x**4.\nAnswer: 2155*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, g: 3, w: 1, l: 4}. What is prob of sequence bwg?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.48894 - 1.788912. Let w = 1.7 - z. Round w to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 131210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)\/m)**(2\/5)\/(m**4*m*m**(-6)\/m*m) assuming m is positive.\nAnswer: m**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 g when three letters picked without replacement from gggggggggggagggggggg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 12. Let d(k) be the first derivative of -1\/2*k**2 - 5*k + 4. Let j be (-169)\/39 + (-2)\/3. Give j*a(g) - 12*d(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 20. Let g(p) = -2*p**2 + 51*p - 30. Let y be g(20). Suppose y = a + n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 40*i**2 + 4*i. Calculate r(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -7.\nAnswer: -7, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w + 2. Let m = 1 - w. Suppose j + 3*j + 26400000 = m. Round j to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/12)\/((-3)\/3594)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose 0 = -r - g*i + 7, -2*i + 18 + 0 = 4*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10985951 and 24987?\nAnswer: 8329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000001110100101010000 (base 2) to base 4.\nAnswer: -100032211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 35 - 65*b**2 + 34*b**2 to the form v*b**2 + t*b + f and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/4 + 5*y**2\/4 - 3*y\/4 - 9\/4 = 0. What is y?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1430\/3 = 476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*p + 5*p = 2, 0 = -5*m + 4*p - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:23 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*l - 3*l. Suppose -398 - 42 = -l*o. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 21. Let b be w(15). Suppose d + d = 5*q - 34, 0 = -2*d + b. Solve 5*o = -q - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/813 + -72445\/8943. Let r = 667\/77 + d. Factor 0*w + 0 - r*w**2 - 2\/7*w**3 + 2\/7*w**4.\nAnswer: 2*w**2*(w - 2)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 + 3. Calculate the remainder when 91 is divided by c(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 49. Find the third derivative of -10*v**z + 2*v**2 + 3*v**2 - 16*v**2 - 14*v**6 wrt v.\nAnswer: -1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 1\/3*n**3 + 2*n**2 + 4 - 1\/4*n**4 - 2*n. Determine q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -3.05817\nAnswer: -3.94183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323858\/25929 + 850\/67. Find the common denominator of m and -67\/12.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o + 33*o**2 - 2*o - 60*o**2 + 65*o**3 wrt o?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -50. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (1 + 2 - 2). Let n be (-6)\/m + (-5 - -5). Let f = -0.3 + -0.2. Which is the second smallest value? (a) -2\/11 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 12.58. Let h = 0.02 - m. What is h rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = -3*w - b + 84*b, 4*w = b - 3*b - 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 3 - -9) + (-38 + 32 - 10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:19 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Let r = 35.957 + 0.043. Let q = r - 36.5. Which is the closest to 0? (a) u (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11 + 700\/(-63) - (-28063)\/9.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-10\/3))*n\/((n*n**(-5))\/n) assuming n is positive.\nAnswer: n**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107.6 - 108. What is the closest to -1 in 4, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - -3. Suppose 56 = 2*x - 30. Let k = x - u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5\/2 - 22950*c**4 - 105156555*c**3\/2 + 422578820*c**2 + 1105523130*c - 5698305720 = 0.\nAnswer: -4594, -4, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(220) - (sqrt(220) + -1*sqrt(220) + sqrt(220))) + sqrt(220)))\/((sqrt(50) + sqrt(550)\/(sqrt(11) + sqrt(44)\/sqrt(4)))\/sqrt(10)).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1104*y + 2. Let n(m) = -69*m - 9. Give s(n(d)).\nAnswer: 76176*d + 9938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9936 and 126?\nAnswer: 69552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.77? (a) 1.7 (b) -0.5 (c) -0.417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -1\/5953, -2\/5, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:58 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2*h*v + 30*a**2*v**3 + 4*a**2 + 2*a*h*v**3 - 28*a*h*v**2 - 41*a*v - 2*h*v + 12994*v**3 wrt v?\nAnswer: 180*a**2 + 12*a*h + 77964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34812072.\nAnswer: 2, 3, 161167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 12*v + 4*x - 136 = 0, 0 = -2*v + 2*x + 32. Which is bigger: v or -5.7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68407 - -25107. What is n rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -454978.53 rounded to the nearest one hundred?\nAnswer: -455000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4961 + -4936. Let d = -25 + 44. Suppose -d = -2*g - 5. Solve 5*t = 3*n + g, -4*t - 5*n = t + c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 1494750*b + 111713878125.\nAnswer: 5*(b - 149475)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/((t\/(t\/(t*t**(-1\/5)*t)))\/t*t*t))\/t))\/t**1)\/(t**(1\/3))**(-2\/3)*((t**0)**(5\/14))**(4\/9) assuming t is positive.\nAnswer: t**(136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -93*o**2 - 1180*o - 24. What is y(-13)?\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 414fed?\nAnswer: 414fe8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjejejjjjjj. What is prob of picking 2 e and 1 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002660421775 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0196252 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 1, c: 1}. Give prob of sequence ic.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, k: 3, t: 6}. What is prob of picking 1 k and 3 t?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18300 - 4355677\/238. Let u = -4\/17 - k. Let s = -10659\/8 - -1325. What is the common denominator of u and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101 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: Does 32 divide 478752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -1\/24*g**4 + 0 - 7\/6*g**3 - 2*g**2 + 0*g. Calculate b(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38439469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-18)*-4*(2139\/(-46))\/31?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 40 = 11*s. Let j = s - 16. Let v(q) = -q**3 + 4*q**2 + 2. Let x be v(j). Put 1\/10, -1, x in descending order.\nAnswer: x, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o**6 + 3*o**2 + 0*o**4 + 0*o + 4\/105*o**7 + 0*o**3 + 1\/15*o**5 + 0. What is the third derivative of p(y) wrt y?\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 103 = -5*h, 30 - 89 = -2*j - 5*h. Solve -6*d + 3 + j = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 2*a + 59. List the prime factors of r(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1237544527*t - 1237544527*t - 9*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 d when three letters picked without replacement from {y: 8, e: 1, d: 5, i: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 27. Let y be g(6). Let f(p) be the first derivative of -4*p**2 - 1 - 8*p - 2\/3*p**y. Factor f(n).\nAnswer: -2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5494 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5267472ns in days?\nAnswer: 0.0000000000001449855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - w + 1)*(3*w - 3*w + w**2) + 1729*w - 966*w - 3*w**3 + 501*w + 2*w**3 to the form g*w**3 + u*w + d*w**2 + v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (33 + -29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19017 + 1.\nAnswer: 19018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 + 7 + 0*z**2 + 5*z**3 - 7*z + z - 4*z**2. Let m be (-2 + (3 - 1))\/(-2). Suppose 3*c - c - 10 = m. Give i(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -9*a + 6. Let u be ((-20454546)\/(-9)*-1)\/(a\/(-99)). Suppose 15000010 = -w - 5*r, 5*w - r = -2*r - u. What is w rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 6972323?\nAnswer: 6\/6972323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5168 divided by 68.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 - 2*t**2 + 7750*t - 15500. Give i(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16968 and -285.92.\nAnswer: -17253.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1970 and 3.\nAnswer: 5910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 5422.\nAnswer: 5436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 1635144836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 5*y + 495. Let r(o) = -20*o + 28. Calculate the remainder when r(-3) is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Suppose 0 = r + p*r - 15. Find the second derivative of -5*j + 8*j - 3*j**r + 2*j**5 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -1\/24*g**4 + 1 + 0*g + 1\/60*g**5 + 0*g**2 + 1\/3*g**3 - 1\/360*g**6. Let h(k) be the third derivative of j(k). Factor h(i).\nAnswer: -(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64*2500)\/((-1)\/(-50)). What is w rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96121375 to the nearest integer?\nAnswer: 9804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100102 (base 4) to base 13.\nAnswer: 26226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzzzsszzzzzzs. Give prob of picking 2 z.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from fxfv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -258 + 266 - 2\/(-2). Let k(w) = -33*w - 3. Let c be k(-2). What is the greatest common factor of c and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 51. Let c(j) = -6. Let o(d) = -51*c(d) - 6*h(d). Let l(q) = 0*q - 1124278 + q + 1124278. Give -5*l(r) + o(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((-63)\/(-14) - 5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*f + 51*h - 49*h, 3*h + 2 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 31*m + 115. Let a be q(-10). Put -4, -1, 33, a in descending order.\nAnswer: 33, a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390993738 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*s**6 + 35*s**4 - 11*s**2 - 7*s wrt s?\nAnswer: -840*s**3 + 840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 21310103232?\nAnswer: 21310103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 12. What are the prime factors of k(11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(3 + sqrt(9)\/sqrt(3) + sqrt(3)) - (sqrt(27)\/(sqrt(9) + sqrt(45)\/sqrt(5) - sqrt(9)) + -3))*5)**2.\nAnswer: 750*sqrt(3) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.29 in 27, -2, 1.4, 22?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 162*w**2 + w + 37. Let x(j) = -3*j. Give a(x(i)).\nAnswer: 1458*i**2 - 3*i + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 2*v + v**2)*(11*v**2 + 6*v**2 - 7*v**2 + 2) in the form a*v**3 + j + r*v + d*v**2 + p*v**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(70) - 4*sqrt(70))*-6)\/(sqrt(90)\/(sqrt(54)\/sqrt(6)))*5)*-2.\nAnswer: -180*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1207279, 1207106, 1206933, 1206760, 1206587?\n\"Answer: -173*r + 1207452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*y = 71, 3*p + 0*p - 3*y - 138 = 0. Suppose -3*f + p = -5*m, -14 - 1 = -2*f - 3*m. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/33)*d**(4\/9))\/(d**(-12)*d*(d\/d**(-2\/35))\/d*d) assuming d is positive.\nAnswer: d**(39667\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1139 + -1136. Let n(x) = x**2 + x - 2. Calculate n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 5. Let x be l(4). Let k(t) = 1 - 5 + t + x. Let s(c) = 6*c - 2 - 5 + 1. Determine -11*k(r) + 2*s(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, d: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*p + 2*u - 78, 5*p + 4*u + 9451688 - 9451664 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1599413 - 776434. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(1*(-2)\/(-3)). Suppose -22*x + 3776 = -6*x. Suppose -2*i = 152 - x. What is the greatest common divisor of i and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(357)\/sqrt(7))\/sqrt(3).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1313*q**2 - 5*q - 27. Let z(w) = 1314*w**2 + 5*w + 26. Let g(x) = 3*d(x) + 4*z(x). Is g(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16810 + 104001. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -5. Let i = b - 33. Let q = -18.32 - i. Round q to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 8*r + r - 3*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4805.359 and -0.01.\nAnswer: 4805.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931831313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-5 + 2)*1. Let u(p) = -20*p + 1. Does 16 divide u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19169 - 2.\nAnswer: -19171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65625613 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(34)\/(sqrt(32) + sqrt(2)).\nAnswer: -4 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 14*j + 6*z + 64 - 20, 0 = -5*z - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25 and -462606.\nAnswer: -462605.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 19*w**2 + w - 24. Let u be x(19). Let z be 3 + u - 166*-2. What is z rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h*i*z**3 - 235694*h*i*z + 16*h*z + 552*i*z**2 - 5*i - 23*z**3 + 25 with respect to h.\nAnswer: 8*i*z**3 - 235694*i*z + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/((-230)\/(-36)))\/(-42*10\/(-150))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 103 - 4. Let x(z) = -a*z**2 - 3 + z - z**3 + 28*z**2 + 0 + z. What are the prime factors of x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 23 - (4 - 2). Let r(u) = -18 + 31 - g - u. What is r(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/20 (b) -0.006 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*w + 355*w + 350*w - 255*w - 1162*w + 358*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539110*q**3 - 26252*q wrt q?\nAnswer: 3234660*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5.8. Let r = m + -2.1. Which is the third biggest value? (a) 6 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/2 + 303*l**2\/2 - 2862*l + 9056 = 0. What is l?\nAnswer: 4, 16, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 664\/(-15184) + (-853)\/22178\nAnswer: -6\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v + 2. Let p(n) = 4*n - 1. Let h(q) = 2*q + 1. Let y be h(-4). Let r = 0 - y. Calculate r*p(l) + 3*d(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5802 - 3722. What is the smallest common multiple of y and 11?\nAnswer: 22880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*w = 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9438716 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06066 * -1.\nAnswer: -0.06066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 31 - 27 = 0. Let b(w) = -w**3 + 4*w**2 + 4*w. Let k be b(6). Let n be (21\/6)\/(p\/k). Calculate the greatest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126115 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - y**2 - 2*y**2 + 3*y**2 + 4*y**2 - 6*y**2 + (-5*y + 3*y + 5*y)*(0*y + 12*y + 3*y) to the form v*y**2 + t + a*y and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 4 - 4*s**4 + 3326*s - 3325*s - 2*s**2 + 14 in the form l*s**4 + h*s**3 + w*s**2 + g + v*s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 9*s**2 - 17*s + 12. Let j be w(-2). Solve 3\/2*f + 9\/4 + 1\/4*f**j = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1540)\/4)\/11)\/((-57)\/(-57)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3411925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167*n + 54044 = -1277 - 14699 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:29 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:29 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 7) in base 3?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -6)*(-98)\/(-4). Suppose 0 = 4*i - g - 94, 4*i = 4*g + 2 + a. What is the highest common factor of 138 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169449067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9746721.84 to the nearest one thousand.\nAnswer: -9747000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 5*g**8\/1008 - g**7\/63 + g**5\/18 - 5*g**4\/72 - 7*g**2 + 10*g. Let h(o) be the first derivative of u(o). Factor h(r).\nAnswer: 5*r*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336489.1 plus 1.4?\nAnswer: 336490.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -45. Find w such that -26 + 30*w + 18*w**n - 21*w**2 - 40 - 9 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 30945487 = 42*k + 11287457. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, 0.2, 12943?\nAnswer: 12943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 319626 - 157626. Round w to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 16.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 88*z**2 + 4 + z**3 - 4 - 20 + 80*z**2 + 2*z**4 as h*z + u*z**3 + v*z**4 + j + n*z**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218367 is divided by 435.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 210 = 3*o, 4*o + 4*f + f = -245. Let l = -65 - o. Solve 8 = -2*h - l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.92 + -0.02. Let c = t - 2. Let x = 1.9 + -2. Is c greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 18. Let a be 4\/10 + (-46)\/s. Suppose a*j + 3 = 38. Solve n + 3 = j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79857 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/((-4)\/48). What are the prime factors of ((-154)\/g + 2\/(-6))*-4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 83. Let g(u) = -u**2 - 2*u - 9. Let r be g(p). Let i(c) = c**3 + 4*c**2 - 3*c + 5. Let n be i(-5). Sort r, 2, n.\nAnswer: r, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6127*s**5 + 90*s**2 - 3379606*s?\nAnswer: -122540*s**3 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -1\/11 (c) -18.05 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:20 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3657*k - 3851*k - 3026*k.\nAnswer: -3220*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)*l**(-11))**41 assuming l is positive.\nAnswer: l**(-3116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) 4 (b) 197 (c) -2\/9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -6978*j + 0 + 0 + 5*j**4 - 5*j**2 + 0 - 15*j**3 + 6993*j = 0. Calculate j.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 8. Calculate r(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/4 (b) -0.125 (c) 10 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6666 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -267, -690, -1091, -1470, -1827?\n\"Answer: 11*t**2 - 456*t + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(3\/(-9)). Let x(o) = -o**3 + 2*o**2 - o + 1. Let u be x(1). Let p(i) = i**2 + 5*i + 3. Let n be p(-3). Sort n, u, g.\nAnswer: n, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30030437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 7*q + 3. Let g be f(6). Let j(k) = -k. Let p be j(9). Let c = 0 - p. Calculate the greatest common factor of g and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51245?\nAnswer: 5, 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 6 + 3*x + 3*x + x**2 + 0*x**2. What is i(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.064 + -0.064. Which is the smallest value? (a) 12 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - (-6 + 0 - (-2 - -17))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:17 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/8)\/(25\/20))\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -81319, -81322, -81325, -81328?\n\"Answer: -3*j - 81316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -17, -27, -37, -47, -57?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 28528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40256.69ng in milligrams?\nAnswer: 0.04025669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*-1*4 + (sqrt(1300)*-2 - sqrt(1300)) + -4 + (((-1*sqrt(1300) + sqrt(1300) - sqrt(1300))**2 + sqrt(1300))*3 - sqrt(1300)) + 0.\nAnswer: -50*sqrt(13) + 3896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j + 177. Determine r(43).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 - 7.68. What is c rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5375608863.\nAnswer: 3, 1791869621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 52*l - 177. Is f(38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15767795 less than -15767795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*h*n**2 - 11*h*n*t + 2*h + 38*n**2 - 5*t wrt h?\nAnswer: -17*n**2 - 11*n*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226*q**6 - 5*q**5 + 2*q**3 + 4*q**2 + 2004 wrt q?\nAnswer: -27120*q**3 - 300*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 924 = -4*l + 3129, 2*l - 1085 = -3*t. Calculate the smallest common multiple of l and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 328.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*l - 4*i - 12, -4*i = -16. Find v, given that 0 - 9\/7*v - 3\/7*v**3 + 12\/7*v**l = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((55\/11)\/135)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 - -70. Let m = y - -63.99999974. What is m rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 92 = -2*v, 5*x + 677*v - 674*v + 70 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*m + 21, 46726*m + 32 = 46730*m + 3*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5980 = 5*q - 2*s - 3376, 4*s + 5608 = 3*q. What is the smallest common multiple of q and 91?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74790.3 rounded to the nearest one hundred?\nAnswer: 74800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -d - 13*l + 35, -13 = -2*d - 5*l. Calculate the remainder when 646 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34394 is divided by 33974?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - c + 2. Let x(v) = -v**2 + 6*v + 9. Let u be x(7). Suppose 4*i = -j - 9, j + i + 6 = -0. Let w = u + j. Give m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19336 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 2, j: 1, z: 1}. What is prob of sequence iz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*b**(2\/3))*b)\/b)*b**9)\/(b**(1\/12)\/b**(-14)))**(1\/20) assuming b is positive.\nAnswer: b**(-41\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 425795 at least 425725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 598198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2836 + -2837. What is the second biggest value in 0, 1\/7, y, -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 17*l + 18. Let o(y) = -l*y - 1187 + 45*y**2 + 1185 - 9*y**2. Does 14 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3228 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*s - 19. What is the third smallest value in -3, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237 - 234. Suppose -5*i - 2*a = -160, 5*i + a = q*a + 160. What is the lowest common multiple of 36 and i?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620640 and 3201120?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -172*x + 166*x - 29, -4*i - 2*x = 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 120\/5)\/((1005\/75)\/(-67)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 - 2*c + 45 - 92)*(5 - 4 + 3) - c + 0*c + 3*c in the form u + r*c and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7\/6, 30, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.38 + 0.28. What is the smallest value in b, -6, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18174 = -4624. Let c = y - 1311. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1\/5)*t))**(-3\/2)\/(((t\/(t*t*t\/t**(-3)))\/t)\/t)**(4\/7))**(-20\/7) assuming t is positive.\nAnswer: t**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 0 + -42 + 37 + (-1 - -13530).\nAnswer: 2, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 4\/6*63 + 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 4) + -4 + 75.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111001011 (base 3) in base 13?\nAnswer: 25288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v + 17*v + 45 = 109. Which is smaller: v or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:15 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/31388 and -73\/1699436.\nAnswer: 11896052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 10, 10, 8, 4, -2?\n\"Answer: -j**2 + 5*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.1 - 12.172. Let g = -0.068 + q. Let v = g + 0.14. Which is smaller: -18 or v?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a5 (base 15) to base 9\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*z - 24. Let u = 26 - z. Solve g + g - 10 = 2*w, -u*w - 10 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 t when three letters picked without replacement from {t: 10, u: 2, g: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and 41\/401?\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10, 0, 4, 1\/69, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 10*v - 3. Calculate y(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/22 - ((-890)\/4)\/(-5). Let l = -13 - c. Calculate the remainder when l is divided by ((-1)\/(-2))\/(2\/32).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81383, -81379, -81375, -81371, -81367?\nAnswer: -81363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 180 = 11*x. What is the remainder when 36 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hwhwwhxwxwwwhxxh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 4444?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1310*a*y**3 - 23*a*y**2 + 2109*a - 6*y**3 - 2*y**2 + 4714*y wrt y?\nAnswer: 7860*a*y - 46*a - 36*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -185*x + 193. Determine h(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -9*b + 8*b + 15, 0 = 5*b + 8*l - 33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6 - 10. Let n(c) = c**3 + 27*c**2 + 50*c + 1. Let t be n(-25). Put g, -24, t in ascending order.\nAnswer: -24, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -42, 108, 402, 888, 1614, 2628?\nAnswer: 3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*z - 3721, -2*g = 3*z - 4*g - 5565. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/7))**(-16\/3))**(2\/9) assuming m is positive.\nAnswer: m**(-32\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(8)*-2) - sqrt(9) - (sqrt(9) + (sqrt(108)\/sqrt(3))\/sqrt(4) + sqrt(9)))\/((sqrt(2904)*-2 - sqrt(24))\/(2*sqrt(8)*1)).\nAnswer: 9*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 230362.\nAnswer: 230362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 13*d = 16. Sort 1, d, 171, 3 in descending order.\nAnswer: 171, d, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 696\/(-145)*4\/12*-1\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -57*u - 4754. Determine g(-83).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/112 and (-4)\/(-36)*(6 - (-9306)\/(-1440)).\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 1}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:12 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26258 - 5.\nAnswer: -26263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 5:55 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 16*q**2 + 7*q - 35. Let a be n(-17). Let z be (-9)\/18*0\/(1*-2). Suppose z = -c + 2*w + a, -5*c + 3*w + 735 = 5*w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c - 2\/7*c**2 + 0 - 4\/7*c**3 - 2\/7*c**4.\nAnswer: -2*c**2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 218*p + 39. Let b(h) = -3*h**2 + 220*h - 47. Calculate 5*b(n) + 6*o(n).\nAnswer: 3*n**2 - 208*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a4 - -3?\nAnswer: 15a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/33 + (-47)\/(-3). What is the highest common factor of 105 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 427 - 399. Solve 0 = -l - 25 + t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 205 = -26*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -301*f + 1800. Determine z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/4)\/(21\/56). Suppose -3*p + 54 = r. Suppose i - 2*v = -4*i + 2, 2*v - p = -4*i. Solve 2*o = -4*j + 4, -2*j = 4*o + 3*j - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.12 or -4.1406?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1702960 and 37030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -753.19987 to the nearest 10.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*p**3*s - 2*p**3 - 8*p**2*s + p**2 + 187*p*s - 20787 wrt s?\nAnswer: -6*p**3 - 8*p**2 + 187*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(2*w - 2*w - 2*w)*(0 + 6 + 9).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-5)\/(-5)*2\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3 + 6. Let c(r) be the third derivative of 0 - 1\/3*r**k + 1\/12*r**4 + 0*r - 4*r**2. Determine c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74827531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13139 - 118250\/9. Which is the fourth biggest value? (a) 2 (b) 6 (c) -0.3 (d) k (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*m + 51*m - 155 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:34 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/i**(-23))\/i)\/((i\/(i*i\/(i**(-32)\/i)))\/i))\/(i**20\/i**(2\/3)))**36 assuming i is positive.\nAnswer: i**1428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 57539 and -0.038.\nAnswer: 57538.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -1245*g + 1243*g - 3473014, 3*l - g + 10418993 = 0. Round l to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 4 + 5*t - 1 + 2*t to the form c*t + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j + 2. Suppose z = -j*z - 100. Is (45\/z)\/((-3)\/8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 0. Let z = t + 6. Let b = z + 3. Let s(q) = -q**3 + q**2 - q - 1. Let c(j) = 8*j**3 - 10*j**2 + 10*j + 10. Give b*c(d) - 10*s(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 84 = 0. Let c = 1420 - 1374. Let z = c - f. What is the remainder when 67 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 - 7*w + 12. Determine u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 1072. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1084 + -1133 - (1 + -37)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14122055 (base 6) to base 15\nAnswer: -966b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -14. Find the common denominator of (16\/96)\/(k\/(-8)) and -73\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.1. Let u be (-3)\/(-3)*1\/(-3). Let h be (-64)\/144*9\/(-2). Which is the nearest to j? (a) -0.4 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*z - z - 15, 2*o = 5*z + 25. Let w(v) = v**3 - 2*v + 1. Let h be w(2). Put 3, z, h in decreasing order.\nAnswer: h, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4769, -9639, -14527, -19433?\n\"Answer: -9*p**2 - 4843*p + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 26*t**2 - 1251 + 51*t**2 + 1251. Let j(a) = a**2. Determine u(j(c)).\nAnswer: 77*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 n when four letters picked without replacement from {m: 1, n: 2, u: 2, l: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -56 and -726\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/1918 - 14393\/15344. Calculate the common denominator of k and 0 + -2 - (-5 - 118\/12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 195.275mg?\nAnswer: 195275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*h**3 + 15*h**2 - 2*h.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -119, -180?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -909?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.705066 to 2 dps.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 308 = 126. Let x = b - 156. Let r = -43 - x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (50\/(-45))\/5 + 8\/(-18). Let g(m) = m**2 + 6*m - 4. Let h be g(-7). Let w = h + 2. What is the smallest value in w, t, -2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + sqrt(44)\/(-1*sqrt(4)))**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237342216 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 597119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 2 - n**2 - 1 + 4*n**2 with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/84666010 and -49\/234?\nAnswer: 761994090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*j - 19. Suppose -4*o + 0 + j = 0. Calculate the least common multiple of 9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3136 and 3808?\nAnswer: 53312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -702 - -704. Let l(u) be the second derivative of -4*u**f + 0 + 2*u - 5\/3*u**3. What is the first derivative of l(o) wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**3 - 112*a**2 + 122*a + 23. Give s(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*g + 35 = 0, -5*g + 2 = 7. Suppose 3*j - 5 + p = 0. Is j\/(-1) - (-58)\/(-4 + 5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12*3)\/(-2 - 74\/(-40)). Suppose -2*h + v = -3*u - 12, 0 = -u. Calculate the greatest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a - r, 5*a - a - 4*r = 28. Suppose -3*h + 0*o + 18 = 4*o, 0 = -a*h - 5*o + 23. Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9003451588?\nAnswer: 2, 32443, 69379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140917?\nAnswer: 73, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -76.2 * 0.0184\nAnswer: -1.40208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/2601 and 47\/147390?\nAnswer: 442170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*r + 62 - 20 - 21 - 20 as k + c*r and give c.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2557*f**5 - 15*f + 189.\nAnswer: 51140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 403013611 divided by 221\nAnswer: 1823591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -473 + 875. Let i(s) be the first derivative of 0*s**3 - 388 + n - 4*s**3 + 14*s**2. What is the second derivative of i(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3087*w**4 + 4*w**3 + 1185*w**2 - 29*w - 671792?\nAnswer: 37044*w**2 + 24*w + 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 5.1?\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 68148873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4049928 divided by 4\nAnswer: -1012482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 22*r - 45. Calculate v(29).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 11) + -3 + (3 - (-9 + 20))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u + 9. Give r(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 322?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 28. Let p(i) = -49*i - 1. What is the remainder when p(-1) is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 75.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6371 - -0.6370823. Round d to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88737.\nAnswer: 3, 11, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 6*p = 12*w + 4*w - 294, -8*p - 392 = -12*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -4*w - 5*s, 4*s = -4*w - 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b - -7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.9 + 16.4. Which is the closest to -1? (a) -0.2 (b) 14 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 8*b**2 + 5*b + 4. Let o be r(-7). Suppose 3*s + 557 = 5*m, m = 4*s - o + 143. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -320, -303, -266, -203, -108, 25?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535 - 25 = -46*t + 16*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s + 14. Let h(t) = 2*t**3 - 3*t + 14. Let o(q) = q**3 + 14*q**2 + 45*q + 410. Let z be o(-13). Determine z*n(w) + 4*h(w).\nAnswer: 2*w**3 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 434 + -187. Suppose -5*q - t + 166 = -227, -3*q + 5*t = -m. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 11102010001?\nAnswer: 11102010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3)*2 + 0 + sqrt(1053))**2 + -2)*3.\nAnswer: 4713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 2 - (60 - 87)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86\/21 - 41\/21. Let i(u) = -15*u + 587. Let j be i(39). Is c less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.513 times 0.1\nAnswer: -0.0513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -2 - 9\/2*o**2 - 4\/5*o**3 - 1\/20*o**4 - 14*o. Factor v(j).\nAnswer: -3*(j + 3)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/240*p**6 - 1\/16*p**4 - 39*p**2 - 1\/24*p**3 + 0 - 1\/30*p**5 + 1\/336*p**8 + 3\/280*p**7 + 0*p. Let m(i) = 0. What is i?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**5\/20 - b**4\/3 + 7*b**3\/6 + b**2\/2 + 3*b. What is q(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - -84. Let c(t) = -t - 6. Let p be c(-6). Suppose -4*g + k - 24 = p. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from idiiiiiiidd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61\/4 - -801\/52. Let j = 156 - 1096\/7. What is the biggest value in j, -1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-1\/18)*(w\/(w\/(w**2*w)))**34*((w\/(w\/w**(-6)))\/w**(-5))\/((w**(-5)\/w)\/w**(-7)) assuming w is positive.\nAnswer: w**(1801\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -79. Which is the second smallest value? (a) -4 (b) x (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 3*v - 1. Let i be b(4). Suppose -3*g - 4 = -13. Solve -5*w = c + 3*c - 30, i*c = g*w + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d - 27*d - 36*d)*(5 - 4 - 31 + (4 - 1 - 5)*(-4 + 4 + 1))*((-2*d + 3 - 3)*(-2*d - 2 + 2) + 2*d**2 - 3*d + 3*d + 4*d**2 - 2*d**2 - d**2).\nAnswer: 9184*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, 0, 60, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**6\/3 - 13*x**3\/3 + 4. Find the third derivative of d(o) wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = y + 33, -3*y + 8*u + 1 = 3*u. Let m be y\/(-28) + 2\/(-7). Solve 5*v - 2*f + 14 = m, -5*v + 3*f = -2*f + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most -774973991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**7\/7560 + t**6\/360 - t**5\/40 - t**4 + 17*t. Let r(s) be the third derivative of n(s). Factor r(x).\nAnswer: -(x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23207.7 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (5 - (5 - 3)). Suppose 2*d - 5*c - 64 = -0*d, -u*c = -8. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 77, -121, -18 in descending order.\nAnswer: 77, 5, 4, -18, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 4*n**2 - 7*n + 2. Let a be r(-5). Suppose d - a = -9. Suppose -4*c + d*c + 2 = 0. Put 2\/13, -2, -0.3, c in ascending order.\nAnswer: -2, -0.3, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1217464 divided by -72\nAnswer: -152183\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1385, 1384, 1383, 1382?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(21\/5))\/(g*g**2\/g))**(-3\/22) assuming g is positive.\nAnswer: g**(39\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*b + 93*b - 193*b - 121*b**2 to the form u + i*b**2 + s*b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**2 - 10*z - 19. Let i be s(-3). Suppose -9*n = -i + 938. Calculate the remainder when (-1 - n\/6)\/(19\/57) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a74 (base 11) to base 3\nAnswer: 1202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -232 times 3.4\nAnswer: -788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -13235317.\nAnswer: -1\/13235317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.24073 - -12447247.\nAnswer: 12447237.75927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113147447064 + 113147446867.999999844. Let a = 196 + j. Round a to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443546 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5294143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.4, 40, 2, -39, -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645468362 to the power of 1\/3, to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 9 - 12)*(5 - 5 + s)*(3 - 2*s - 3)*(-2 - s**2 + 2 - 2*s**2 + 2*s**2 + s**2 + 2*s**2 - 2*s**2 - s**2 + (-3 - 1 + 2)*(s**2 + 0*s**2 + s**2)).\nAnswer: 240*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2489*t - 79232 - 50196 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 9*y - 4. Let g(r) be the third derivative of 0 + r**2 + 1\/3*r**3 - 1\/60*r**5 - 5\/24*r**4 + 0*r. Calculate -5*g(c) - 3*m(c).\nAnswer: -c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 4.2. Suppose 4*u - 2*t + 10 = -0*t, -6 = 4*u + 2*t. What is the closest to -1 in 5, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2)*4\/36)\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 - 10*o - 8. Let d be r(-6). Suppose 5*z - d - 92 = 0. Find the common denominator of (351\/(-126))\/(z\/(-14)) and -97\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of ((-640)\/(-30))\/(1\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0233 - 0.0232786. Round v to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.3, -4, -108 in increasing order.\nAnswer: -108, -4, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.7 + -32. What is the third smallest value in j, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 6*a. Suppose 2*t + 0*t + 50 = 2*s, a = 4*t - 16. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 4. Suppose 0 = -4*x + 50 + 58. Calculate the remainder when x is divided by b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 3*h - 5. Let d(t) = 15*t + 8. Let w be d(-4). Let j be (-221)\/w - (-1)\/(-4). Let r(x) = x + 1. Determine j*r(m) + z(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 - 383*m - 3369. Give q(-9).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90 or 71814\/787?\nAnswer: 71814\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900163 to the power of 1\/2, to the nearest integer?\nAnswer: 1975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -133.0643.\nAnswer: -133.2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2 - 24*m + 16. Let k(y) = -y**3 + 17*y**2 + 48*y - 30. Let o(i) = -4*k(i) - 7*t(i). Find the second derivative of o(q) wrt q.\nAnswer: 24*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6637080*-0.01\nAnswer: 66370.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 14*h + 80. Let a = 18 + h. Suppose -a*v = -27 - 115. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = 36*i. Let w(o) be the first derivative of 3\/2*o**2 - 11 + 0*o + i*o**3 + 4*o**4. Find the second derivative of w(k) wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*(-45)\/(-3825))\/(6*(-8)\/10).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54*((-4)\/(-8) - 1). Let g = q + 23. Suppose -3 = -b - 2*b. Put 3, g, b in decreasing order.\nAnswer: 3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - 59. Suppose 107*c + 202 = -226. Is ((-4)\/(-8))\/(2\/c)*r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3556*n**2 - 3605*n**2 + 3405*n**2)*(1 + n - 1).\nAnswer: 3356*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from nxxnqzxzx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10515, -3, 2, 4 in decreasing order.\nAnswer: 4, 2, -3, -10515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 185089355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 4) to base 3.\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38911 a multiple of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.31 and -80552736.681.\nAnswer: -80552736.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -68700365?\nAnswer: -68700342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046967063 rounded to 5 dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**5 - 56*f**4 + 244*f**3 - 288*f**2 + 4*f. Let p(u) = -7*u**5 + 56*u**4 - 243*u**3 + 288*u**2 - 3*u. Let j(t) = -4*p(t) - 3*v(t). Factor j(m).\nAnswer: 4*m**2*(m - 6)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-34)\/(-51))\/((-500)\/(-249) - 2) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4791093 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**6\/2 + 9*h**5\/5 + 39*h**4 + 160*h**3 + 288*h**2 + 240*h - 76. Suppose l(k) = 0. Calculate k.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.05. Let w be (1\/2)\/((-20)\/(-2344)). Let j = w + -59. Put 2\/9, s, j in decreasing order.\nAnswer: 2\/9, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.6 + -3.6. What is the closest to z in 2, 3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**3 + w**3 + 6*w**3)*(-2*w + 2*w + w) to the form c + b*w**3 + x*w**2 + u*w**4 + v*w and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 31. Let k be x(9). Solve 7*v - k*v - 3*f = -18, 2*v = 5*f - 26 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w*(w*w**(2\/7))\/w)\/w*w*w)\/((w\/(w*w**(-14)\/w*w))\/w))**(12\/11)\/(((w\/(w**(3\/5)\/w))\/(w\/w**(-2\/7)*w))\/(w**0)**29) assuming w is positive.\nAnswer: w**(-3319\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -99. Let m(d) = -d**3 + 6*d**2 - 2*d - 1. What is the remainder when 4\/6*711\/6 is divided by m(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2674 and 9622198.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 12*l**2 + 11*l + 29. Let v be k(13). Factor -24\/5*h**4 + 6\/5*h**v + 0*h + 0 + 14\/5*h**5 + 4\/5*h**2.\nAnswer: 2*h**2*(h - 1)**2*(7*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-2\/19)*a*a*a)\/a**16*a**(-15\/2)\/a**10 assuming a is positive.\nAnswer: a**(-1087\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 5. Let l = -6 + w. Suppose -y**2 + 3*y - l*y = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 745600?\nAnswer: 2236800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 15, f: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2807282*f**2 + 5614567*f**2 - 2807287*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.457 <= -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**3 - 4*o**2 + 6*o - 3. Let v be l(2). Let n = 144 - v. Let y be -4 + 0 - (-294)\/n. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*n = 194, n + 188 = 4*m - 3*n. Suppose m - 564 = -2*d. Is 43 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + -7 + 13 + (-11176)\/1144.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1\/615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1561 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -59*h**3 + 9*h**2 + 9*h - 9. Let r(m) = -29*m**3 + 4*m**2 + 4*m - 4. Calculate 9*r(i) - 4*v(i).\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 0*p**2 + 7*p - p**2 + p**3 + 5*p to a*p + z + s*p**2 + i*p**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnf when three letters picked without replacement from {k: 5, p: 2, h: 2, n: 2, f: 1, e: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71586989, -71586991, -71586993, -71586995?\nAnswer: -71586997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 14*s**2 + 562*s + 4184. What is r(-10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Suppose 12 = 2*b - 2*v - f*v, -v = 2. Suppose b + 20 = w. Calculate the greatest common factor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 2)*(-134 + 4*a + 134)*(3*a + a**2 - 3*a) as p*a**3 + n*a**2 + k + c*a and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152222132 (base 6) to base 9.\nAnswer: 6003502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 68164 + 4276 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3 - 3*a**3 - 4*a**3 + 11*a**2 - 3*a**3 wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4647 + 9320. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 - g**4 + 9*g**4)*(6*g + 15*g - 3*g).\nAnswer: 216*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46693, -91391, -136089?\n\"Answer: -44698*t - 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5 + 10*k**5 + 10*k**5 - 16*k**2 - 4*k**5 wrt k?\nAnswer: 900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -3\/191, 1971?\nAnswer: -3\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + 10?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 83, 0, -104 in descending order.\nAnswer: 83, 0, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {u: 4, r: 1, d: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52\/19 + 54\/19. What is the nearest to -5 in 0.5, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22112, 22777, 23404, 23993?\nAnswer: 24544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 7*b. Let n be m(4). Suppose n*p + 46 = 3*h, -58 = -5*h + 6*p - 4*p. Let l(v) = 2*v - 16. What is l(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 2)*(1 - 1 + k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 69 = 3*n, -b = 3*n - 6 - 21. Let z = b + 1. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 t when three letters picked without replacement from {q: 5, t: 1, b: 5, k: 3, a: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 35. Let z(w) = -w + 17. Let o(u) = 2*f(u) - 5*z(u). Calculate o(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Let g = 11.433 - 0.233. Let k = -16.2 + g. What is the smallest value in w, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844*c + 2523*c - 838*c - 841*c - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 - 1 = 0. Suppose 0 = -2*k, 18 = 4*t - t - b*k. Let c = t + 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjommoaoj. Give prob of sequence am.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n + 10*n + n + (-1 + 6 - 6)*(-1 + 1 + 2*n) to the form q*n + o and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.83 + 2.999. Let h = 0.331 + g. Which is the smallest value? (a) h (b) 1\/3 (c) -6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 5, -3\/5, -11, 0.404, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2\/7 (c) 13 (d) -475\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3018808 - -12.3018948. Let a = 11 - x. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u*u*(((u**(1\/11)*u)\/u)\/u)\/u))*u\/u**(-5))**9\/((u**1)**(-37))**(-3\/10) assuming u is positive.\nAnswer: u**(3819\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:42 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140942 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or -73.66?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 - 7*x**2 + x + 1. Let l(b) be the third derivative of -b**6\/120 + b**5\/60 - 2*b**2. Let q(u) = -c(u) - 4*l(u). Calculate q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72452 - 97788 = -6080*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 308, 305, 312, 335, 380, 453, 560?\n\"Answer: u**3 - u**2 - 7*u + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/6 - -7\/4. Let f = l - -1\/4. Suppose 1 = s - 0*s. Which is the closest to s? (a) 5 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*y - 4*y + 16, 17 = 3*i - 4*y. Let r(x) = 90*x**2 - 37*x**2 + x**i + 9 + x - 46*x**2. Calculate r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548\/(-31510) - (-77688)\/(-2990)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2855*r**2 - 395*r**2 + 0 + 0.\nAnswer: 2460*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) -0.56 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 4\/3, 77, 1, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d*u**3 - 253*d*u - 3*u**3 + u**2 + 2 wrt u.\nAnswer: 60*d*u - 18*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**7\/840 - p**6\/90 + p**5\/30 - p**4\/8 + 20*p**3 - 66. Let s(a) be the third derivative of m(a). Give s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9596, -9600, -9604, -9608?\nAnswer: -9612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -24*z**2 + 6*z + 1. Let q(g) = -97*g**2 + 22*g + 4. Calculate 6*q(k) - 22*r(k).\nAnswer: -54*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.2. Let h = 3 + -1. Which is the nearest to h? (a) 3 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let r = -3 - -9. Let h = 9 - r. Let m(y) = h*y - 3*y**2 + 0*y - 3*y. What is m(t(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**2 - 721*o - 721. What is t(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**3\/3 - c - 1. Let g(k) = -6*k**2 + 6. Let f(m) = -6*g(m) - 34*j(m). Differentiate f(n) with respect to n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4127.17 + 4128. Let v = 23 - 23.1. Put -0.2, v, w, 3 in ascending order.\nAnswer: -0.2, v, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8)*462\/66)\/(21\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:13 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -171*x - 1635. Let b be t(-20). What is the highest common divisor of 102 and b?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125*o = -2130*o + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1403, 2799, 4189, 5573, 6951, 8323, 9689?\nAnswer: 11049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-6) + 9)*(-3 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1252, 1443, 1612, 1747, 1836?\n\"Answer: -2*y**3 + y**2 + 202*y + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*b**2 + 136*b**2 + 135*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**17*y\/(y**11\/y)*(y*y*y**10*y*y)**13 assuming y is positive.\nAnswer: y**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Let z be s(-2). Let p be 9 + z\/(-3)*1. Is (6\/p)\/((-2)\/(-10)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = n + 4*x, -4*x = 853*n - 850*n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 767895 + -4.\nAnswer: 767891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9495 divide 5976219465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.194585 minutes in microseconds?\nAnswer: 251675100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 + -5343\/11. Which is the nearest to l? (a) 0.3 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1967*j**3 - 1691*j**2 - 60*j. Let u(b) = -5899*b**3 + 5072*b**2 + 170*b. Let n(s) = 17*m(s) + 6*u(s). What is the third derivative of n(x) wrt x?\nAnswer: -11730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvivtvitvittv. What is prob of sequence tvit?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 0*m - 3*m + 5*f + 71 = 0, -29 = -m - f. Calculate the remainder when m is divided by (-1 + 2 - q)*-7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 9) + -11 + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*m**2 - 25*m**2 + 47*m**2 + 65*m**2 + 50*m**2.\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -27874\nAnswer: 1\/27874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 132722260?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b2 - 136?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 + 3*n + 2. Calculate y(-7).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003705 to 6 decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 13*r - 10*r - 34, 2*r + 9 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z)\/z)**(-4\/7)\/((z\/(z**(3\/8)*z))\/(z\/(z\/((z\/(z**(-2\/9)*z))\/z))*z)) assuming z is positive.\nAnswer: z**(43\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:05 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/35 + (-4)\/(-10). Let m = -14 - -12. Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 13*m - 4. Give r(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112987780 is divided by 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 720 + -675. Calculate the greatest common divisor of z and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*h + 3*h. Let y = -6 - h. Suppose -y*u = -3*u. Solve u = -4*r - 3*b - 16, 0 = 4*r - 4*b + 9*b + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, j: 14}. What is prob of picking 2 p?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 11*r - 9. Let s be c(-12). Let a be -5*(s - 2)\/1. Let n(v) = v - 2. What is n(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 6*u**3 - u**3 + (5*u**2 - u**2 - 2*u**2)*(-38*u + 26*u - 19*u))*(2*u - 2*u + u).\nAnswer: -59*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 15*f**2 - 11*f - 11*f + 23*f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggnhgx. What is prob of picking 1 h, 1 x, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w. Let u(x) = -9*x**2 + 27. Give s(u(m)).\nAnswer: 18*m**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 6, -6*t = -2*t + 2*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -498619 - -30915203\/62. Let t = g + -56614\/4123. Let p = -3\/14 - t. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -8*w + 22*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 11, 38, 91, 176, 299, 466, 683?\n\"Answer: x**3 + 4*x**2 - 12*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + v = -476, -4*r - 3*v - 460 = -2*r. Put r, 0, -14 in descending order.\nAnswer: 0, -14, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*s - 4440, -6*o - 5552 = -o - 2*s. Let t = o + 584. Let k = 515 - t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 15, 46, 97, 174?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/4 in 3\/4, 0.3, -84, -0.04, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 47, 2, 4, -3, 5 in decreasing order.\nAnswer: 47, 5, 4, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 88*p**3\/3 - 2*p**2 + 10*p. Let d be o(-1). Let c = d + 307. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 8 + 35*m + 35 - 1 + 0*m + 5*m**2 + 18 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2 + 13*c - 3*c - c**3 + 4*c**3 - 6*c**3 - 29*c**2. Let n be s(-10). Is -6 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4888\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)\/(j**(-1\/6)*j))**30 assuming j is positive.\nAnswer: j**(-565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + v + 3)*(-2*v - 2*v + 5*v) + v**2 + 2*v**2 - v**2 - 3*v**2 + v**2 + 3*v**2 + (-3 - v + 3)*(-2*v - 5*v + 4*v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axakxbuawbx. Give prob of picking 1 b, 1 k, and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13563051, -13563023, -13562995?\nAnswer: -13562967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f2 + 7378f?\nAnswer: 73981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 9*m**2 + 11*m + 14. Let a be y(-10). Suppose a*r - 19 = -7. Solve 2*p + 16 = 4*t, r*p + 5*t - 2*t = 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/258960 and 211\/550290?\nAnswer: 4402320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a - 1. Calculate the remainder when (-224)\/15*(-3)\/4*(-3 - -8) is divided by q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/o**(-5\/4))*o**(-8)*(o**(-2\/5))**(2\/31) assuming o is positive.\nAnswer: o**(-6371\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/40 - g**5\/10 + 6*g**2. Find the third derivative of c(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**5 - f**4 + f**3 - f - 1. Let l(a) = -21*a**5 + 10*a**4 - 13*a**3 + 2*a**2 + 12*a + 10. Let t(b) = 2*l(b) + 22*q(b). Find o such that t(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 39*h**2 - 82*h + 8. Let v be c(41). Let t be (v\/22)\/((-4)\/22). What is the closest to t in 3\/2, 1\/21, 4?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b - 1. Let f(w) = -7*w - 1. Suppose 11*m + 2 = 12*m. Suppose -5*r = -20, m*r = 3*h - 0*r + 23. What is h*l(g) + 6*f(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 4 - 4)*(-4*s - 6*s + 2*s) + 5 - 5 + s + (0 - 2 + 0)*(-s + 2*s + s) - 1 + 1 + s.\nAnswer: -226*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -377*j + 0*j**2 - j**2 + 378*j + 11*j**4 - 2 in the form o*j**2 + q*j + w*j**4 + x + a*j**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - (-4*sqrt(33)*5 - sqrt(33))) + sqrt(33))*2)\/((-1*sqrt(30) + sqrt(30))\/sqrt(10) - (sqrt(3) + sqrt(243) + -1*sqrt(243) + sqrt(3))).\nAnswer: -23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 7*d**4 - 8*d**4 - 3*d**3 + d**2 + (3*d**2 - d**2 + 0*d**2)*(3 - 3 - d**2).\nAnswer: -3*d**4 - 3*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3349 and 289787?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g. Let c(p) be the second derivative of p**4\/6 + 8*p. Give c(m(t)).\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. What is the second smallest value in f, 18, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3906 divided by 63\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z + 9. Let l(n) = -17*n - 17. Let p(d) = -7*j(d) - 4*l(d). Let w be p(9). Let c = w - 31. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(-12 + -2). Let a(u) = 9*u**2 - 9*u - 21. Is 24 a factor of a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 23*j - 19*j. Let n = -20 - -58. Let m be (-7)\/((-7)\/j) + n. Solve -20 = -a - 5*k, -5*a = 5*k - 0*k - m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47698347 and 27591?\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 310, -0.5, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(0*h + 0*h - h) - 20*h + 562 - 562)*(4 - 1 - 2 + (-4 + 2 + 0)*(-4 + 2 + 4)).\nAnswer: 63*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1340)\/2*4584\/45840.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by 1415\nAnswer: -308\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w - 3*w - 39 + 25. Let f be r(-5). Let u = f + 5. Solve 3*h - u*h + 1 = 5*n, -5*h - 19 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.37582l to millilitres.\nAnswer: 42375.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -17. Let l = a + -10. Suppose h = -1, -5*t + 79146 + 90859 = -l*h. Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*v - 40, -16*c - 3*v - 16 = -15*c. What is the third biggest value in c, 8, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 677 in ascending order.\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:48 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230880 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3162 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((sqrt(35)\/(sqrt(20) - sqrt(5)))**2 + (-3*(sqrt(7) + sqrt(35)\/sqrt(5)))**2 + sqrt(7)).\nAnswer: 6*sqrt(7) + 1559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2218873329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 4. Let g(i) = -1. Let f be (-2)\/(-7) + (-18)\/14. Let n(r) = f*l(r) - 4*g(r). Let j(d) = 36*d**2. Give n(j(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 22, 0, 1, -4 in ascending order.\nAnswer: -4, 0, 1, 22, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:12 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*s - 8275, 0 = 5*w + 2*s - 4221 - 4074. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004362074127 to 6 decimal places.\nAnswer: 0.000436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-8) + (-1)\/4. Let b(a) = -a**3 + 3*a**2 + 9*a - 22. Let h be b(4). Is 114 + (f - h)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**6\/120 - n**5\/10 + 7*n**4\/8 + 7*n**3\/6 - 26*n**2. Is w(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c25 + -1?\nAnswer: -1c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129*s = 1139*s - j - 298, -s + 26 = -2*j for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-127)\/(-381)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o = -26*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3\/2*s**4 + 1\/3*s**3 + s - 1\/2*s**2 - 2. Let d be o(1). Let a(z) = -z**2 - 4*z - 2. Calculate a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3192249 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = 0, 4*m + 336 = -5*w + w. Let i = -42 - w. Suppose -3*b = -3*p - i, 2*b = 3*b + 2*p - 1. Which is smaller: b or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - 4*l**2 - 3*l**4 + (-2*l**2 + 3 - 3)*(6*l**2 + 4*l**2 - 6*l**2) + 89*l + 49 - 89*l - l**4.\nAnswer: -12*l**4 + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -19, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 3. Let g = c + 11. Suppose 11 = 2*w + 5*j + 2, -5*w - g*j = -48. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-5*(sqrt(153) - (sqrt(153) + (sqrt(153)*2 - sqrt(153)))))\/(-2*sqrt(9)*1) - ((sqrt(68) + -1*sqrt(68))*4 - sqrt(68))\/(sqrt(16)\/sqrt(64))))**2*1.\nAnswer: 12*sqrt(17) + 217\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9647 - 9646.9. Sort -0.1, -0.49, i in increasing order.\nAnswer: -0.49, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -2*s - 3*s. Let m be (-3 + (-42)\/(-3))\/((-2)\/(-5 + 3)). What is the greatest common divisor of s and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*n + 103*n - 22143 = -14239 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6*m - 3*p = -68, -5084*m - p = -5083*m - 28 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/16 + (-2)\/(-8). Let o(w) = 3*w - 3*w + 2*w - 7 + 5. What is o(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.4. Let a = 67 - -5. Let v = a - 57. Which is bigger: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2037 - -734. List the prime factors of z.\nAnswer: 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 20*y + 1243. Is 11 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*(sqrt(468) + 1 + 1) + 1 + (sqrt(468) + 2 + -5 - sqrt(468)))*-6)**2.\nAnswer: 17280*sqrt(13) + 423504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 31*l**2 + 3. Let a be d(-31). Solve a*r + 2*f - 14 = -7, 4*r + 4*f - 12 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47)\/(-9) - 4\/18. Let f be 15\/(-25) - (4 + 3\/(-5)). Let g = -3.8 + 1.8. Which is the smallest value? (a) -2\/11 (b) f (c) x (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176576797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6394 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1379, -2845, -4313, -5783, -7255, -8729?\nAnswer: -10205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414 - 4?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98490 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/85 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-51 - -70) - 28.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 = 8. Suppose 0*x - x = g. Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -682 + 2816?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 24*n + 3. What are the prime factors of g(2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*n + 15*n + 0*n**2 - 97 + 4*n**2 + 12*n - 5*n**2 to the form q*n**2 + r + f*n and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1680, 3303, 4890, 6447, 7980, 9495, 10998, 12495?\n\"Answer: z**3 - 24*z**2 + 1688*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -497045 from -432975.\nAnswer: 64070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -59, 37, 211, 469, 817, 1261, 1807?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575847, 1151683, 1727519?\nAnswer: 2303355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12676544, -12676545, -12676546, -12676547?\n\"Answer: -f - 12676543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13121.887 and -3.8571.\nAnswer: 13118.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**3 - 10*p**2 - 9. Let y(n) = -5*n**3 - 11*n**2 + n - 10. Let s(f) = 6*t(f) - 5*y(f). Give s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50182950 by 20694.\nAnswer: 2425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/((y**(-3\/14)\/y)\/y))\/(y**(11\/2)\/(y**(-1\/3)\/y)) assuming y is positive.\nAnswer: y**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8) + (-5)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3244, 12914, 29028, 51586, 80588, 116034, 157924?\nAnswer: 206258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2583045*f**3 + 7486110*f**2 + f + 1 wrt f?\nAnswer: -15498270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2175*q. Let y be (-4)\/4*(-10 - 2). Suppose 0 = -a + y - 8. Let m be p(a). Round m to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 12*d - 5. Determine i(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*h = -7 + 1, 18 = 3*q + 3*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12701 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -46455617 at least as big as -46455613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79571 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l**3\/9 - 166*l**2\/9 + 448*l\/9 - 152\/9 = 0. What is l?\nAnswer: -19, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9852.\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 715095*k*u**3 + 954*k*u**2 - 2*k*u + k + u**2 - u wrt u?\nAnswer: 4290570*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.7621 + 7421.675.\nAnswer: 7448.4371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 10*d - 11. Let p be l(8). Solve -5*k - p*u = -5, 5*k - 2*u - 6 = -6*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-84) + 2082\/7. Suppose 0 = -9*p + f + 45. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10013 + -243004?\nAnswer: -232551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 4422 = -29*z. Let a = z - 179. Suppose 4*s - 239 = 97. What is the remainder when s is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:11 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3049 = -750*r + 3060 + 5197 + 5292 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -26.168 in ascending order.\nAnswer: -26.168, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/954? (a) 2 (b) -2\/13 (c) 1 (d) -1\/2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -0.2 (c) -0.094 (d) 32 (e) -52.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*-6 + 1. Let y(c) = 2*c**2 + 3*c + 2. What is y(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 6*i.\nAnswer: 2*i*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**18\/(j*j*j\/((j\/(j\/j**(-18)))\/j)*j*j*j))\/(j*j\/(j\/(j*j**13\/j)))**44 assuming j is positive.\nAnswer: j**(-623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbffmfmymygmfk. Give prob of picking 1 m and 1 y.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5514 is divided by 949?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/10 - (26 + (-285246)\/115) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 - 5*u**3 + 35*u**2 + 65*u + 30 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.9498 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2)*j**(-1\/15))\/(j**0*j)**(-3\/7) assuming j is positive.\nAnswer: j**(-67\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h**2 + 8*h**2 + 17*h**2 as u*h + g + v*h**2 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 79*x**2 + 250*x - 328.\nAnswer: -(x - 82)*(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13195 is divided by 13133?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5247, -10501, -15759, -21021, -26287?\n\"Answer: -2*x**2 - 5248*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yssuttt. Give prob of sequence st.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9350643 - 9*c**3 - 4675331 - 4675312.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246 by -82.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, 1, -46 in decreasing order.\nAnswer: 1, 0, -3, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 - 79*a - 23. Let q be o(20). Let b be 2\/(((-4)\/42)\/2). Let h be (1 + 44\/b)*q. Sort -1\/4, -2\/13, h in increasing order.\nAnswer: -1\/4, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328239 divided by -49537?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/575 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/13, -130.\nAnswer: -130, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 93, 50, -1.52, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + (1136\/(-120) - -12) + -2. Let k(t) be the first derivative of -3\/10*t**2 + f*t**3 - 16 - 3\/5*t + 3\/20*t**4. Factor k(b).\nAnswer: 3*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.645+-4604516447\nAnswer: -4604516436.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1120*b**3. Let w(l) = -4*l**3. What is -4*f(z) + 1152*w(z)?\nAnswer: -128*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppqp. Give prob of sequence qp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 66*f**3 + 20*f**2 + 47*f + 48. Calculate o(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 8:17 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -4, 237, -377 in descending order.\nAnswer: 237, -2\/13, -4, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(-95)*((78\/72)\/13)\/(-1)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 6. Let h be d(5). Let j = -3.5 + 3. Let s = 1.1 - 0.1. What is the nearest to s in j, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 1. Solve s = 3*s + g + 4, s - g = h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2613b (base 13) in base 15?\nAnswer: -15d68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a58 + 1a0?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 522998 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9729017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905657539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 6085898.\nAnswer: 36515388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and 22517.7.\nAnswer: 22509.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1918509751 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 2*p**2 - 6*p + 2. Let g be (-8)\/(-6)*(-6 + 3). Let b be (g\/14)\/(9\/(-63)). Let r = 6 - b. What is x(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 13)*(0 + 2 - 1)*(-b - 3*b - b)*(0 - 1 - 1) to m + t*b and give t.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*r**3 + r**2 + 707*r?\nAnswer: -138*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22444.22 - 22680. Let m = q - -232. Round m to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10880\/(-240))\/((-168)\/189)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58470689 and 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**3 - 5*u**2 + 8*u + 33. Let c be i(-3). Solve -44*s - c = 47 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1768 - 1789. Sort -6, k, -4.\nAnswer: k, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12069*j**2*q**3 - 4*j**2*q - j**2*u**2 + 3767*j*q**3*u**2 - 265*j*q**2*u - 5*j*q - 187*q**2*u**2 - 2*q**2*u + q*u**2 wrt q?\nAnswer: -72414*j**2 + 22602*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzklzblezl. Give prob of picking 1 b and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 121854, 243709, 365564?\n\"Answer: 121855*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + 1.07. Sort -0.2, 2, -2\/55, b.\nAnswer: -0.2, -2\/55, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -0.01053.\nAnswer: -0.09477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 + -53. Find the second derivative of -f*n**3 + 38*n**3 + 9*n - n wrt n.\nAnswer: -114*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1699 - 96.013.\nAnswer: -1795.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 11 = 5*x, 0 = 5*s + 3513*x - 3510*x - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -12. Calculate the remainder when 25 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*z - 1699, -5*z + 277 = s - 580. Let q be 3\/((-18)\/4)*s\/8. Let i = 78 + q. Solve -9*n + 8 = -i*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 + 2*y**3)*(0 - 1 + 0) - 2*y**3 - 2*y**3 + 2*y**3 - 3*y**3 - 32 + 32.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t + 6*t)*(4 - 691*t + 657*t - 2).\nAnswer: -34*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 506.411\nAnswer: -506.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 22279.\nAnswer: 22279.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 472209528 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57673\/988680)\/((-7)\/(-25)).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0.25. Let w = -0.367 - -0.067. Which is the second biggest value? (a) w (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124012 (base 5) to base 7\nAnswer: -20143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -41. Let m(b) = -b**2 - b + 1. Let k(p) be the first derivative of -5*p**3\/3 - 3*p**2 + 6*p - 1. Give h*m(x) - k(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 2, w: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -830*p**5 - 2*p**2 - 75*p - 7. Let f(n) = 1659*n**5 + 5*n**2 + 152*n + 14. Let c(k) = 2*f(k) + 5*v(k). Find the second derivative of c(i) wrt i.\nAnswer: -16640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0767 and -171528.625878.\nAnswer: -171528.549178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5)*c*c**(-2\/25))\/((((c**(1\/3)\/c)\/c)\/c*c)\/c*c)**23)**(2\/7) assuming c is positive.\nAnswer: c**(5858\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1*(-5)\/(-15). Suppose 5*m - 73 = -b, -2*m + j*m - 3*b = -24. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 2. Calculate v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2299636*k**6 - 1916341*k**2 wrt k?\nAnswer: -275956320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 56*n + 30*n + 24*n)*(-2 + 2 - 2)*(6*n + 5*n - 4*n).\nAnswer: 28*n**2 + 1162*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075515448 - 20.\nAnswer: -19.924484552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.12 - 15.9098.\nAnswer: -0.7898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 61, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223844718.\nAnswer: 2, 3, 73, 511061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -298 * 15.9\nAnswer: -4738.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10412.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/429 - -19*12\/33.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -112 (b) 3.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j + 5671 + 12425 = 0. Calculate the greatest common factor of j and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.8003 meters to centimeters.\nAnswer: 880.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3702571 to the nearest 1000.\nAnswer: -3703000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 6*p**3 - p)*(-2*p + 0 + 0)*(-p + 2 - 2 + 3*p + p - 6*p + (0 - p + 0)*(1 + 5 - 5)).\nAnswer: 48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 162*j + 159.\nAnswer: 3*(j - 53)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**(-50)*f*(f**11\/f)\/f*f**(2\/19) assuming f is positive.\nAnswer: f**(4942\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j + 21*j + 14*j + 30*j + 3 - 10*j.\nAnswer: 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12672)\/231)\/(-96)*42?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50055983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*h - 3*h - 12, -5*h = 3*i. Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 0. Factor -3*z**5 + 2*z**4 + 4*z**3 + z**4 - 3*z**2 - z**3 + j*z**4.\nAnswer: -3*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47748?\nAnswer: 2, 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20862 + o**3 + 20863 + 78*o**3 - 24*o**2 - o**5 wrt o?\nAnswer: -60*o**2 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 3. Let i be x(-5). Let a = 181 + 8. Let o = -180 + a. Is o smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) -5 (b) 0.2 (c) -10 (d) 1 (e) -56 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 71, 5, 28, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 - -14 - 4) + 12. Let -12\/5 - 1\/5*k**c - 7\/5*k = 0. What is k?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + (-721)\/(-35). What is the greatest common factor of 105 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 1 - 3. Let v(d) = -d**2. Let g(h) = 8*h**2 + 2*h - 2. Let i(c) = g(c) + 3*v(c). Let f(m) = -16*m**2 - 7*m + 7. Determine s*f(l) - 7*i(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001101111000001010 + 0?\nAnswer: -1100001101111000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1320 divided by 3\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 d when four letters picked without replacement from ddtdtd?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -48\/19*s**2 + 20\/19*s**3 - 14\/19 + 44\/19*s - 2\/19*s**4 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {r: 4, g: 1, b: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.45525 weeks to days.\nAnswer: 633.18675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 10 = -11. Suppose -u*x = 248 + 97. Round x to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 8:08 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -297192.648 to the nearest 10.\nAnswer: -297190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/36 and 47\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4101174853 + 30017.\nAnswer: 4101204870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5\/11))\/(w\/((w\/(w\/(w\/(w*w\/(w\/(w**(-16)*w))*w)*w*w*w)))\/w))*w**24\/(w**(-19)*w) assuming w is positive.\nAnswer: w**(633\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 365 - 361. What is the remainder when 85 is divided by (1 - u\/20)*(-380)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -28*v - 20. Let s(r) = -14*r - 10. Let g(f) = -7*s(f) + 3*u(f). Let h(n) = n + 1. What is g(p) - 12*h(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - z)*(-3 + 1 + 1) + (3 - 3 + 1)*(-4 + 1 + 1 + 2*z) + (z - 1 + 1)*(113 + 39 - 6) as t*z + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 5?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(1\/3). Let p be (v\/(-3))\/((-2)\/(-2)). Which is the second biggest value? (a) -0.3 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 1\/2*x**2 + 7\/12*x**4 + 4 - 12*x + 7\/6*x**3 + 1\/20*x**5. Let r = 14 + -20. What is m(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1187 * -7.97\nAnswer: -0.946039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 42164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000008893 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t**3 + t**2 + t + 3. Let n(l) = l**2 - 11*l - 3. Let g be n(11). Let x be f(g). Does 13 divide (2\/3)\/((-3)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 - 1669\/8. Let y = p - 2161\/88. Let l = -1 + 0.8. Which is the closest to 0.1? (a) l (b) 2\/19 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y - 5*y + 2*y**2 - 4*y**2.\nAnswer: -2*y**2 + 25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acfaffccccf. What is prob of picking 3 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*o - 2808 = 2*i, 5*i + 4*o - 7020 = 0. Suppose 3*u - i = 2*h, -2*u = -3*u - 2*h + 460. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23f (base 16) to base 5\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40776 - -41236. Solve 50*x + 42*x + g = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:16 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - w**2 + 2. Calculate the lowest common multiple of 8 and y(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 1. Let x(w) = w**2 - 8*w - 3*w**2 + 6*w. Let o(d) = -4*v(d) - 2*x(d). Differentiate o(p) with respect to p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*r = -268, 3*n = -3*r - 962 + 86. What is the remainder when ((-1)\/(-1))\/(n\/58 - -5) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 4\/11 (c) 2 (d) -31\/3 (e) 0.1 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 5250469 and 7.\nAnswer: 5250476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 4688 - 4943 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Factor -6*t**d + 4*t**3 + 2*t**3 + t**4 - t**3.\nAnswer: t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*w + 253 = 278*w. Solve 10*b = -19 - w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 128 (b) -6\/17 (c) -5 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194 + 4*k**2 + k**3 - 181 + 345 to the form t + z*k**3 + d*k**2 + b*k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3492640077*a**3 - 1746320039*a**3 - 1746320036*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.2 + -23. Let v = 4.54 - k. Let p = v + -0.14. Which is bigger: p or -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 12*r**2 - 22*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -138858 (base 10) in base 9?\nAnswer: -231426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -3, -1\/3, 0, -82?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y, v + 9 = 4*y - 0*y. Let s = -328 + 338. Which is the biggest value? (a) 0.3 (b) v (c) 0.5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160\/9 + 1346\/99. Let v be -3 + (-11742)\/(-1782) + (-4)\/(-6). Let b = o + v. Is b not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 425 (b) 0.1 (c) -1.64 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (15 - (-2 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, j: 1, a: 6, d: 2, e: 4}. What is prob of sequence ta?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -1437?\nAnswer: -1436.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l + 3. Let o = 2\/47 + 178\/235. What is the third smallest value in l, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 7*n**2 - 6*n - 6. Let u be c(5). Let k be (-3)\/(-9)*0*1. Let t = u - k. Solve -5*w - 4*b = 25, -2*b - t = -4*w + 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00556 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2019 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -453 - -448. Is 1057 + (2 - 3)*a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*v + 300 wrt v?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*-2 - 0. Let b be ((-48)\/(-30))\/((-2)\/(-10)). Suppose b*a = 4*a - 16. Put a, 4, f in increasing order.\nAnswer: a, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 1. Suppose 6*r - r = 0. Suppose x + 2*s - 4*s = -12, r = -5*x - s - 60. Suppose -3*k - 4 = k. Let a(v) = -10*v - 12. Determine k*a(f) + x*y(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ca (base 13) in base 16?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*f**2 - 118*f**2 - 386*f**2.\nAnswer: -428*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3*2\/24.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose -g*t - 2 = -12. Suppose -6*a + 6 = -t*a. Solve 3*y - 6 = a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(5\/(-20) + (-56)\/(-96)). Which is the biggest value? (a) -2\/23 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.634561 to 1 dp.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.991 - 0.009. Let x = m + 17.99999824. What is x rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58204 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 8. Give j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7338.4128 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 127470 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 7*q**4\/24 - 20*q**2. Let v(k) = 17*k. What is h(v(a))?\nAnswer: 119*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j + 2*d + 5, 0 = -3*d - 3. Suppose -2*m = 1 - 5. Suppose i = 3*v + 14, 5*v = m*v + 2*i - 19. Does v = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) 1\/5 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let z(r) = 898*r + 699*r - 1693*r. Calculate x(z(m)).\nAnswer: -192*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328 = 12806*k - 12879*k + 767 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**(-6)*j*j)\/j)\/j*j)\/j**(-2\/11))\/(j**(-1))**(1\/2))**8 assuming j is positive.\nAnswer: j**(-292\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s, 3*m - 80 = -m - 4*s. Suppose -m + 1 = -h. Calculate the greatest common divisor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22329, 22216, 22085, 21936, 21769, 21584, 21381?\n\"Answer: -9*s**2 - 86*s + 22424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 47330 to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1956*f - 523*f + 136403 - 11732 for f.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 30. Let r be j(13). Suppose -2*z - 49 = -5*q, 4*q - 4*z - 10 = r. Suppose -7*h + 88 = q. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5851*c**2 - 8*c - 8. Let r(j) = -1714344*j**2 - 2342*j - 2342. Calculate 1171*i(a) - 4*r(a).\nAnswer: 5855*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (223 + -224)\/(1\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4 - 139215*c**3*r**2 - c**3 - 2*c**2 + 3385*c*r + 27*r**2 wrt c.\nAnswer: 24*c - 835290*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969010009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 204, 205, 206, 207?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**9*a))\/(a**(-8)*a)*(a*a**0)\/(a\/a**(3\/2))*(a**2)**(-2\/47)*a\/a**2*a*((a*a*((a\/(a*a*a**(-4)*a))\/a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-55\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 17\/14 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-83594.1\nAnswer: -83593.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -34, -65, -116, -193?\n\"Answer: -v**3 - v**2 - 7*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 11 + 41. What is the units digit of 4\/(-22) - p\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 4*l - 637 = -129, -134 = p - 4*l + 118 - 199 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*f + 392*f = 792*f + 24948 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 15 + 3 = 0. Let a be 4\/(k*(-5)\/15). Suppose 0 = -a*h + 4*x + 588, 2*h - 392 = 2*x + x. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -14\/84495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*q + 5*x, -4*x + 4 = 4*q - 0. Suppose 38 = 5*b + 13. Solve 4*h - b - 3 = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039676 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*r**3 + 33*r**2 - 35*r**2 + 20*r**2 + 24*r**2 wrt r?\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/5 + 130789212*i\/5 + 1425484831298412\/5 = 0. What is i?\nAnswer: -21798202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/(((-45)\/45)\/117).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/(((o*o**6*o)\/o)\/o*o))**12*((o*o**0)**4)**(18\/11) assuming o is positive.\nAnswer: o**(-324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 4, 24, 64, 130?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 7*m**2 + 10*m + 5. Let s be f(-4). Let h be (1\/((-2)\/(-22)))\/(-1). Let y = s + h. Solve -y = 2*j - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w + 823 = -92*w - 213 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = 5*r + 19, -4*r - 44 = -5*v. Let q(j) = j**3 + 9*j**2 - 5*j - 11. Is q(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3\/12 - (5777\/(-2180) - (-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e5 - -3b?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1196*u**4 + 257703*u - 257703*u)*(2 + 1 - 2).\nAnswer: -1196*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 22 - 6*l**2 + 4*l**3 - 3*l**3 + 20227*l - 20237*l + 9. Calculate g(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10247590, 40990375, 92228350, 163961515, 256189870, 368913415, 502132150?\n\"Answer: 10247595*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by 221?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 4. Let a be j(-3). Let z be -17 - (-9 - -8 - (a + -1)). Let b = 13 - z. What is the remainder when b is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1540 divided by 20\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*k = 3*g - 2, 0 = 5*g - k - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 - 3*f**3 - 2*f**2 + 3*f + 5\/2.\nAnswer: -(f - 1)*(f + 1)**2*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3278*q**2 - 134414*q + 631. Determine g(41).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 + s - 1. Let o(m) = -19*m**3 + 13*m**2 + 4*m + 9. Let f(b) = o(b) - 4*x(b). Let k(d) = -7*d**3 + 4*d**2 + 6. Give 4*f(v) - 9*k(v).\nAnswer: 3*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 894 or 893?\nAnswer: 893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by 21?\nAnswer: -142\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620)*-1 + sqrt(1620))\/(sqrt(90)\/((-2*sqrt(9) - sqrt(9)) + sqrt(9) + sqrt(9))))**2 + (-4 + -6*(sqrt(162) + 0 - sqrt(162)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(441) + (sqrt(85)\/sqrt(5)*-2)**2 + -1)*-4 + 0.\nAnswer: -268 - 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33389.11 millilitres in litres?\nAnswer: 33.38911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -144549 (base 11) to base 5\nAnswer: -24204342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143 (base 5) in base 7?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225478 is divided by 829?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 46 = t. Suppose 5*a + t = 208. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.1 + -49.1. What is the closest to 2\/5 in b, 15, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfff when four letters picked without replacement from {w: 14, f: 4}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:11 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccucuccuccccc. Give prob of sequence cuu.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggg. Give prob of sequence gg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + j + (-3 + 3 - 2)*(1 - j - 1) + 2*j - 4*j + 3*j - 6*j + 2*j + j - j - j + 4 - j.\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3 = -11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026496095 rounded to 6 dps?\nAnswer: 0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*u + 2, 5*s - 4*u + 38 = -0*s. Let o be s\/((-6)\/5) + (-1)\/(-1). What is the greatest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.917218mg to grams.\nAnswer: 0.000917218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(108\/(-90)*(-10)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -11\/5, 0.03, -2, -1\/2, -12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 + 1. Let d(x) = -23*x**2 - 4. Calculate -2*d(b) - 9*g(b).\nAnswer: -8*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -45925?\nAnswer: 2\/45925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -1.9 (c) 0.06 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19535 (base 13) to base 14\nAnswer: -13d1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 6*g**2 + 53*g + 62. What is y(4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41809 divided by -186?\nAnswer: -41809\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73, -133, -243, -415, -661, -993?\n\"Answer: -2*w**3 - 13*w**2 - 7*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l*x**3 + 7*l*x**2 - 2*l*x - 5*l - 2*x**3 - 18 wrt x.\nAnswer: -12*l*x + 14*l - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7445 - 6997. Which is smaller: 442 or q?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 73.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/(-36) + (4 - (18 + -9)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8622449600 to the nearest one million.\nAnswer: 8622000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1859 - 1903 - 15*o**2 + 879 - 5*o**2 + 169*o. Let z(h) = -7*h**2 + 56*h - 961. Let r(x) = -6*j(x) + 17*z(x). Suppose r(p) = 0. Calculate p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 17*b**2 + 36*b + 30. What is the remainder when j(-14) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1038\/85 - 86\/85. Let q = 626\/55 - p. Let a = 0.2 + 0.8. What is the nearest to -2\/7 in q, -3, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105280 divided by -7.\nAnswer: 15040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l. Let h be (-2)\/3 + 99\/27. Suppose 4 = h*v + 19. Give k(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102*(2\/(-4) + 6\/36). Does 35 divide (w - -23)*(-1)\/((-3)\/(-33))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0, 0.2, 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - u**2 + u. Let n(k) = 52*k**3 - 75*k**2 + 3*k. Let o(d) = -n(d) + 3*w(d). Find the third derivative of o(g) wrt g.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65\/2 in -0.3, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 148*p + 3733. What are the prime factors of w(109)?\nAnswer: 5, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 159, 165, 171, 177?\n\"Answer: 6*a + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-405)\/(-567)*1267\/10)?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 <= -14\/57087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*x**3 + 527*x**3 - 1052*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -34\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 3*z**2 + 0*z - 1\/6*z**3 + 1\/8*z**4 + 0. Let h be f(2). Solve -d + 3 = 2*t, -5*t - h*d + 1 = 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9922 = 1062635*z - 1062393*z for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**3 + 665*x - 665*x + (x - 3*x - x)*(3*x - x**2 - 3*x) + x**2 + 3*x**3 - x**3 + 3*x**2)*((-5 + 3 + 3)*(1 - 1 + x) - 4*x - x + 3*x).\nAnswer: 4*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49513?\nAnswer: 67, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 131320333203?\nAnswer: -131320333312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((((q*q**(-1\/6))\/q)\/q)\/q)*q**(-3))\/((q\/q**(-2\/3))\/q*q*q**(1\/5)*q))\/(q**(2\/9)*q**(-3))**(-33) assuming q is positive.\nAnswer: q**(-2831\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = 5*j, -5*p + 2*j = -2*j + 3. Let s = 3 - p. Suppose s*z - 8*z = -144. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 - (1 - (8 - 18)). Let n(v) = -5*v - 5. Let s be n(-10). What is the highest common divisor of s and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110057056 divided by -27514264.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90149 is divided by 3915.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -18\/35, -0.5, 0 in decreasing order.\nAnswer: 0, -0.5, -18\/35, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*i - 0 + 7, 5*j - 7 = -2*i. Suppose l - 2 = j. Let x(t) = 3*t**2 + 4*t + 1. Let d be x(l). What is d rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1 (b) 4 (c) 3 (d) 16 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 15*b. Let j be t(-5). Solve 0*c - c - 3 = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15 - 0)*(2 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 + 24 = 0. Solve -z = -f - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 3*t = 2*d - 19174, 3*d = 3*t - 11514. List the prime factors of 4\/(-22) + d\/(-44).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 13) in base 6?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2748013 to three dps.\nAnswer: 1.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55496, -55497, -55500, -55505, -55512?\nAnswer: -55521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 27*x + 33. Let p(a) = 2*a. Give l(p(y)).\nAnswer: 54*y + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 115975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8441, -16886, -25331, -33776?\n\"Answer: -8445*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68715085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 47 - 65 = -3*l, -2*w - 45 = -l. Is 0.3 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2590042*n + 5180084*n + 2 - 5 - 2590043*n + 2.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1483 and 0.1?\nAnswer: -148.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - 2*t + 4*t)*(2 + 2 - 5)*(-5*t - 5 + 5) - t + 5*t**2 + t to g + x*t + c*t**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(-2*(-24)\/(-12))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.682 (c) -0.4 (d) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4270 divided by 854\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 9*x**2 + 3*x - 1. Let z be o(9). Suppose -c - c + z = -4*a, 4*a - 4*c + 16 = 0. Let s = -1 - a. Solve -2*f + s = -2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2234004 less than or equal to -1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.9098 - 0.0902. What is the second biggest value in t, -0.2, 1\/5, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 7*c = -17*c - 1008 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6020512?\nAnswer: 2, 47, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1)\/(304\/1672).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 1631 = -0*q. Let z be -754 + (-3)\/9*-3. Let k = q + z. Round k to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 211*v**2 + 8*v - 581*v**2.\nAnswer: -370*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 13 + 19 - 1 - 2 + 4 + (-2 + 1 + 2)*(-1 - 3 + 2) - 1 - 8 + 3 + 1 + 0 - 2)*(-47*m**2 + 10*m**4 + 47*m**2).\nAnswer: 70*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -165*m**2. Let w(h) = 36*h**2 + 3*h + 107. Calculate w(p(t)).\nAnswer: 980100*t**4 - 495*t**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -6, -2.934?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 4*o - 4*d - 534, -336 = -3*o - 3*d. Let p = -461 + 477. Calculate the remainder when o is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1820 and 83\/448.\nAnswer: 29120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 2311 + 893 = -11*d. What is the remainder when d is divided by 2*(69\/2)\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2541 and 283584.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -1730*2\nAnswer: -3460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + k + 2)*((-17 - 4 + 9)*(-14*k - 8*k - 6*k) + (3 - 6 + 4)*(-77 + 77 - 6*k)) in the form h + g*k + x*k**2 and give x.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/286 and -99\/104.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l, -2*w + l + 4 = -10. Find the third derivative of -w*y**2 + 20*y**2 - 11*y**2 + 9*y**5 wrt y.\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.5, 1105, 60?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 5*a + a)*(-3 - 2 + 4) - 21*a + 6*a - 16*a to h + m*a and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:18 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -242\/5 < -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.3, -147, -2 in ascending order.\nAnswer: -147, -2, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 - 2*o**2 + 571*o + 2. Let s(d) = 42*d**3 - 17*d**2 + 4568*d + 17. Give -2*s(z) + 17*u(z).\nAnswer: z**3 + 571*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*c + 130*c = -52. What are the prime factors of ((-6)\/9)\/((65\/(-660))\/c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 11.37?\nAnswer: -12.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = 3, -8 = -4*y + 4*z. Suppose y*r = -6, -5*r - 4 = 4*f - 78. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.4, -1.3, 5, -1, 0.554, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c0 - 4?\nAnswer: 7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-103)\/(-4) + 55\/550*(-15)\/2. Solve -14 = -3*i - 4*l, w = 4*l + l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 - -175. What is the third biggest value in 3, -2, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 223*b + 5956. Calculate n(67).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25635.\nAnswer: 3, 5, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*g + 2*p + p, -3*g = p - 69. Let c = g - 18. Let l(j) = 7*j - 9. Let o(s) = -4*s + 4. Let n(b) = -3*l(b) - 5*o(b). What is n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)**(2\/85) assuming d is positive.\nAnswer: d**(-14\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8669*y + 104026. Calculate x(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*j = -2*j - 12, -g = -j + 4. Let m be (-20)\/112 + 1\/g. Which is the nearest to 0? (a) 2\/3 (b) m (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -860 divided by -860.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p**2*s*z - 711*p**2*x*z - 2*p**2*z + s*x*z + 997*s - 11*x*z wrt x?\nAnswer: -711*p**2*z + s*z - 11*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24796.\nAnswer: 2, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(561)\/(1*sqrt(11)) - sqrt(357)\/(sqrt(21)\/sqrt(3)))\/((-1*(sqrt(6) + -3*sqrt(6)))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 629 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 6 + 3*k + 2*k)*(-k - 3*k + 5*k) + 2*k**2 - 7*k**2 - 3*k**2 in the form j*k**2 + y + d*k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 5. Let g be c(4). Solve -5*y - o - 3 = -28, -g*y = -2*o - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 243*m**5\/80 + 45*m**4\/16 - m**3 - 2*m**2 + 23*m. Factor l(y).\nAnswer: (3*y - 1)*(9*y + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g - 63. Let o be l(-6). Calculate the remainder when o\/20 + 3055\/20 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/55)\/((-1805)\/50540)?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 24076 = -4*c. Suppose 4*n - 4*b - c = 0, -n + 2*n + 3*b = 479. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -301 - -303. Solve v*x = -6 - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -824 (b) 1\/7 (c) 22 (d) -1\/20 (e) 3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {b: 3, p: 3, x: 2, f: 1, s: 3, t: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 - 9*x - 11. Give w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1558677 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -15. Let j(y) be the first derivative of y**2 + 2*y + 91. Determine j(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -10*q + 248. Let y = 64 - q. Suppose 0 = -c - 5*n - 11, 4 = -y*c + 6*c - 4*n. Which is greater: -1\/18 or c?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -309*f**2 + 689*f**3 - 687*f**3 - 215*f**2 in the form v*f + k*f**2 + u*f**3 + y and give k.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 31*f + 86. Let x be p(-28). Solve -x = s + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - 41400?\nAnswer: -41333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqnpvtt. What is prob of picking 1 c, 1 q, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2)\/((1*sqrt(28))\/sqrt(7)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 9}. Give prob of picking 2 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -2. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6429845 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142175.739 - 142249. What is c rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810576?\nAnswer: 2, 113161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 78*j**2 + 0*j + 73*j**2 to y*j + d + z*j**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xukj when four letters picked without replacement from {j: 2, e: 1, x: 1, u: 2, k: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {x: 3, o: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -29*q**5\/20 - 37*q**4\/8 + 53*q**2 + 2. What is the second derivative of y(b) wrt b?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 92 = 32. Solve -4*p - a = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 9. List the prime factors of g(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytz when three letters picked without replacement from wtttzttttytttz?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*r + 5, -5*h + 5*r = -4*h - 10. Let s be -1 + 3 - (h + 2). Let f be 0 + 0 + 1\/(-4). Which is the smallest value? (a) 0.2 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.027781 rounded to two dps?\nAnswer: 4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-14)*(-350)\/(-500). Which is the second smallest value? (a) 4 (b) m (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2014 + 2144. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**8*p*p*p)*p)\/((p**6*p)\/p))\/((p\/(p\/p**6))\/((p*p**(-5\/3))\/p)))**(22\/5) assuming p is positive.\nAnswer: p**(-1496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140688.\nAnswer: 2, 71293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 11*w = -63 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-14238)\/(-11865)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 87*b + 2014. What is o(-90)?\nAnswer: 1744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 680 + -688.02. What is h rounded to one dp?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 0*w + 1\/8*w**4 - 50*w**2 + 5\/6*w**3 + 0. Give l(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 9882.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -30. Let j = -43\/10 - -19\/5. Is j < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 36. Let w = v - -27. What is the biggest value in 0, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(539) + 0)**2 + -3.\nAnswer: -70*sqrt(11) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-1))\/(45\/(-90)))\/(-1)*-7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4\/7 - 5664*k**3\/7 + 4010112*k**2\/7 - 1261848576*k\/7 + 148898131968\/7 = 0.\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3836, 15316, 34448, 61232, 95668, 137756, 187496?\n\"Answer: 3826*x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -139*k - 1618. Calculate the remainder when 117 is divided by a(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 a factor of 131852794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(200) + 2)**2.\nAnswer: -40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g - 84*g = -18459. What is the remainder when g is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3*w - 95*l**2*w - 22*w - 10 wrt l?\nAnswer: 3*l**2*w - 190*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*2.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20701304 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/15 + 7*a**4\/8 - a**3 + 21*a**2. Let m be y(20). Let w = -795 - m. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + a + 24*a + (-2*a + 0*a + 0*a)*(-4 + 3 + 0) as s*a + c and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 0) - (24 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18)*405\/(-90))\/(2\/12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-4) + (9 + 2)*1. Suppose -19 = -3*d - u. What is the biggest value in d, 2\/15, -2\/15, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 9) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + n = -9*a + 8, 20 = -5*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-31)*u**(-6\/11)*u assuming u is positive.\nAnswer: u**(-336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596*i = -604*i + 152. Suppose 0 = -14*f + i*f - 122965. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -32 + 297 + -193?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 943?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**3 - 250*w**2 + 5043*w + 12. Let o(q) = -8*q**3 + 251*q**2 - 5043*q - 15. Let f(c) = -5*m(c) - 4*o(c). Factor f(v).\nAnswer: -3*v*(v - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k + 877. Let y(g) = g**3 + 2*g**2 + g. Let x be y(-1). Is v(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13793, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 52*f = -53*f, 4 = 2*q - 2*f - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 - w**3\/3 + w**2 - w + 47. Let l be v(0). Which is the closest to -2\/3? (a) l (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 655 (base 10) to base 3\nAnswer: 220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 428220 and 138?\nAnswer: 9849060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161684 divided by -4.\nAnswer: -40421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * 735.\nAnswer: 19110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 6\/31, 5, -0.5, 3?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 10) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10286 - 2923 = -10*f + 3528 + 3145 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016632 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152952, 152955, 152956, 152955?\nAnswer: 152952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4269.37962 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110010100 (base 2) in base 7?\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*z = -50, 4*g - 20 = g - 5*z. Solve -8*f = -3*f + g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -29. Let s = -553 - -555. Which is the smallest value? (a) s (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636 equal to 1635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2c3 (base 13) to base 16\nAnswer: -1f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 397, 598, 799, 1000?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.09, -1\/4, -16\/11, -0.08, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 6*p - 4. Let r be k(-2). Suppose n = 5*t - 88 - 676, -r*t + 2*n = -616. Calculate the highest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 296*t**2 + 3780*t + 14112.\nAnswer: 4*(t - 56)*(t - 21)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-16845)\/(-25))\/(7\/15)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a3454 (base 11) to base 2.\nAnswer: -10011010110011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 11) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2068 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -418, -1037, -1872, -2929, -4214, -5733, -7492?\n\"Answer: -a**3 - 102*a**2 - 306*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**6\/360 - q**5\/60 - 2*q**3\/3 - 33*q - 87. Let v(r) be the third derivative of x(r). Let p(g) = -g. What is 4*p(f) - v(f)?\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h + 1. Let x(d) = 7*d**3 - 6*d - 3. Let w(b) = b**2 + 7*b + 6. Let t be w(-4). Calculate t*s(n) - x(n).\nAnswer: -n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -7*r**5\/4 - 13*r**4\/3 - r**3\/6 - 127*r**2 + 2. What is the second derivative of o(h) wrt h?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y + 12. Determine k(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1.5. Suppose -2*q + 464 - 485 = -o, -q - 23 = -3*o. What is the nearest to -2\/5 in o, 3\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g - 8 - 18 = 32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 + 31480?\nAnswer: 3144e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 6878807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 4*j**2 - 1. Suppose 5*n + 5*r - 5 = 30, -32 = -4*n - 5*r. Calculate a(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 - 34296*t**2 + 261507792*t + 3054552946944 = 0. Calculate t.\nAnswer: -10412, 9392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162015 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2160) + (sqrt(2160) + 1*sqrt(2160) - sqrt(2160)))\/(2*-1*sqrt(12)))**2 + -5.\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*l**3 + (l - l - l)*(-47*l**2 + 135*l**2 - 40*l**2) + 32*l**2 - 32*l**2 - 45*l**3)*(-1 - l + 1).\nAnswer: 96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 985, 2159, 3333?\n\"Answer: 1174*k - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 109*h - 500. What is the least common multiple of 18 and y(5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7151666 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8 - f - 15*f**2 + 19*f**2 + 23*f. Let m be s(-6). Let k(r) = -2*r + 6 + 3*r - 4*r - m. Give k(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 - 5*b - 8. Let x(c) = 7*c**2 - 5*c - 7. Let u(q) = 6*f(q) - 7*x(q). Let o be u(4). Let j = 3 - o. Let p(k) = k**2 - 3*k - 3. Determine p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 494600360*o**3 - 30578689514016200*o**2.\nAnswer: -2*o**2*(o - 123650090)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, p: 1, j: 5, i: 1, n: 1, s: 6}. What is prob of picking 1 n and 2 g?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3) - (-133)\/(15561\/3120).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((292152\/(-210))\/(-37))\/((-26)\/(-65)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -954000 or -953992?\nAnswer: -954000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51078060 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c**5 - 21*c**4 - 9*c**3 + 9*c**2 + 2*c. Let n(i) = -i**5 - i**4 + i**2. Let j(o) = 24*n(o) - 3*w(o). Suppose j(r) = 0. Calculate r.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 2*x**2 + 4. Let w be n(3). Let i(q) = -3*q**3 - q**2 - 2*q - 1. Let g(y) = 7*y**3 + 3*y**2 + 5*y + 3. Determine w*i(v) - 2*g(v).\nAnswer: v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1 + 4))\/(7\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i**3 - 4*i**2 - 3*i + 2. Let u(c) = -c**2 + c + 1. Let l be u(-1). Let t be l + -2 + (4 - 4). Is n(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 10420.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -80*i - 37. Let u be y(-5). Let w = -10 + u. List the prime factors of w.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - 0) + (-7020)\/135?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - k - 68 = k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 380 = 368. Let s(v) = 2*v**2 - 3*v + 5. Let g(t) = -3*t**2 + 5*t - 9. Determine f*g(y) - 7*s(y).\nAnswer: -2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeesseeeyexee. Give prob of sequence yxsx.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.77 + -0.77. Let q = -34 + z. What is the second smallest value in 1, q, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26 + (1 - -8)\/3. Suppose 4*b - d + 1 = 0. Let l(a) = -a**2 + 9*a + 2. What is the units digit of l(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4104 divided by 6.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2407385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 13 - 1. Let u be 6\/s*24\/18. Let r = -95 - -853\/9. Do r and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11815619 by -113.\nAnswer: 104563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -78, -72, -64, -54, -42?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 516, -5, -7, -4 in descending order.\nAnswer: 516, 5, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + sqrt(304) - sqrt(304)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 2*n**3 - 3*n**3)*(-3*n - n + 3*n) - n**4 - 37*n**4 + n**4.\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(125) + -4 - (sqrt(5) + 1 + -1 - sqrt(5))).\nAnswer: -8 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (23\/3)\/((-250)\/(-1250)) - (-120)\/(-90)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -290 + 291. Suppose -y = -5*w + 3576, 4*y = 3*y - l. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -32362, 0, 1, 0.1, 2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*8 + -2 + 4\/1. Let i(f) = -195*f - 88. Is i(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 + 32*g**3 - 5 - 139*g**3 + 7 - 3*g - 3. Is w(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -226922?\nAnswer: -226922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**6\/60 + x**5\/5 + x**4 + 8*x**3\/3 + 5*x**2\/2 + 4. Let b(h) be the second derivative of q(h). Factor b(k).\nAnswer: 2*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 - 4 = d, -2*d - 15 = c. Let m(t) be the second derivative of 9*t - 3\/4*t**4 - 1\/20*t**5 + 3\/2*t**2 + 0 - 7\/6*t**3. Give m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) 0.2 (c) 8 (d) 23 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**3 - 133*l**2 - 90*l - 143. Give i(-26).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (315*m**2 - 691*m**2 - 175*m**2)*(m + m + 0*m)*(3 + 2 - 2).\nAnswer: -3306*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -24. Let m = v - -121. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483 by 7.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b - 86*b**3 + 0*b**6 + 0*b**4 - 4\/5*b**5 + 130 + 6\/7*b**7 + 0*b**2. What is the third derivative of f(s) wrt s?\nAnswer: 720*s**3 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, y: 3, o: 1, m: 2, h: 8}. What is prob of sequence oy?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b1 (base 15) in base 14?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-24)\/(-10) - 5) - 4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ppoopoppoooooopppop?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13460435 (base 9) to base 2.\nAnswer: 11001011000010100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and -26.529998311.\nAnswer: -26.499998311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4017 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (22\/(-4))\/(8\/(-48))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401186.248 rounded to the nearest 1000?\nAnswer: 401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 4*n**2 - 1 + 0*n**3 - 1\/160*n**6 + 5\/32*n**4 + 0*n - 1\/20*n**5. What is k in c(k) = 0?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 - 2*x - 2. List the prime factors of h(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8.6. What is the biggest value in -1, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s. Let b be 1758\/30 - 3 - (-4)\/10. Let k = 92 - b. Let g(h) = h - k + 36. Determine y(g(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + 0 + -3 + (22 - 7))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 - 234*o - 1. Let k(i) = -5*i**2 + 234*i + 1. Calculate -2*k(w) - 3*l(w).\nAnswer: -2*w**2 + 234*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 714\/85 + 1872\/120?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 217. Let q be d(-11). Let t be 7\/(7\/(-400)) - 2. Let g = q - t. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 + 26*i**2 - 14*i + 53. Let r(t) = -3*t**3 - t**2 - t - 1. Let w(x) = 2*r(x) + z(x). What is the hundreds digit of w(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 28673 (b) -5 (c) -1\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Let t = -326.7 - -313. Let v = 14 + t. Which is the closest to -1? (a) v (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2726325 by 545265.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/3 - c**3\/3 - c**2\/2 - 10*c + 5. Let h(i) be the first derivative of q(i). Determine h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2418909, -2418904, -2418899, -2418894, -2418889?\nAnswer: -2418884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8191*r**4 - r**2 + 1062*r?\nAnswer: -196584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4522204441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -277 and -275 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 59.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 3740898941?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*j + 9 - 4 + 0*j wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3088, 6172, 9260, 12352, 15448, 18548, 21652?\n\"Answer: 2*p**2 + 3078*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -1752.\nAnswer: 4730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -423011?\nAnswer: 87\/423011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + -10 + (0 - 0) + 2. Suppose -2*n - 3*f + 0*f + i = 0, -2*n = -3*f + 20. Let v(p) = 5*p**2 - 2*p - 5. What is the units digit of v(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63715803?\nAnswer: 3, 21238601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006683 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5 - 5, 2636 = -5*l + 3*h. Let m = l - -528. Suppose 0 = 2*c - 7*c - 5*f + 35, -4*f = -c - 18. Solve m = c*d + 3*t, -4*d + 0*t = 4*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, and 1 b when three letters picked without replacement from yeekbbkehbhebh?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a3b214 (base 13) in base 10?\nAnswer: -13476753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*b*d*h*o**2 + 11*b*h + 2*d*h*o**2 + 3*d*o**2 + 46*o**2 wrt b?\nAnswer: 21*d*h*o**2 + 11*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21663 is divided by 439?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {y: 4, e: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -457503 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/7? (a) 504 (b) 75 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -11. Let b = -7.1 + d. What is b rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*s + 6*s. Let u = s - -7. Solve -4*w = 5*a + u, -1 = 2*a - w + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18015\/5)\/((-5006)\/(-1000) - 5). What is j rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3700, 3691, 3682, 3673?\nAnswer: 3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 3*c + 5. Let w(p) = -4*p - 105. Give 2*d(b) - w(b).\nAnswer: -2*b**2 - 2*b + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -4, -0.5, -972787, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 12757*u - 102159. Calculate c(8).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38253838 divided by -7.\nAnswer: -5464834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 - 769483?\nAnswer: -769998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 204*n**2. Suppose -16*v + 40 = -760. Let k(m) = -30*m**2 - 19*m**2 + v*m**2. Determine s(k(b)).\nAnswer: 204*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 13*h = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74.9 - -74.098. Let i = 0.441 - 1.011. Let v = s - i. Round v to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46751279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q**2 + 3. Let f(l) = -8*l**2 + 3. Let z(s) = 5*a(s) - 6*f(s). Let w(d) be the first derivative of z(d). What is w(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 39*g + 2. Let t(j) = j**3 - 2*j**2 - 5*j + 4. Let f be t(3). Let q be v(f). Let p = -45 - q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 34*p**2 - 117*p - 192. List the prime factors of t(-41).\nAnswer: 2, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(96)\/sqrt(2)*4)**2.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3 take away 5?\nAnswer: -26.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18694?\nAnswer: 2, 13, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:17 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h. Let y(j) = 4*j + 7. Let r(t) = -5*t - 9. Let d(b) = -3*r(b) - 4*y(b). Calculate 4*d(g) - x(g).\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2708 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27898517 is divided by 5610.\nAnswer: 5597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60778, 60780, 60784, 60790, 60798, 60808?\n\"Answer: y**2 - y + 60778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88\/13 or 4320?\nAnswer: 88\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -90 (b) 9171 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 = 2*w. Suppose -t + 2*t = -2. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 10*p - 41. Let u be i(-13). Sort -5, -44, u in descending order.\nAnswer: u, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34019039253 and 2289.\nAnswer: 34019041542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2938 and 2.\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2 - -3) + -1. Find the common denominator of -64\/33 and (3 - s)\/(270\/(-190)).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 5*t**2 + 3*t. Let u be c(-1). Solve -4*j - 3*p = 2*p - u, 5 = -5*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-21))**15*k\/k**(-28\/5)*(k*k\/k**(-2\/25))\/k)**(-1\/7) assuming k is positive.\nAnswer: k**(7683\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 854731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 = 5*b + a, -5*b - 2*a + 20 = 0. Let w = 48 + -34. Let u = w - b. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 36, -121436 = -4*d + 13*g - 17*g. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228901 times -273?\nAnswer: 62489973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + b + 6*b + 13*b**2 - 9*b + b - 27 in the form g*b + h*b**2 + i and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56825 - 16?\nAnswer: 56808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 58*g**2 - 64*g - 120.\nAnswer: 2*(g - 2)*(g + 1)*(g + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16.756 and -0.06.\nAnswer: 16.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 5*n**3 - n**3)*(2 - 3 - 4)*(-159 - 64*n + 159 + (2 + 2*n - 2)*(-1 - 3 + 2) + 0 + 2*n + 0 + (-2 + 3 - 3)*(-n - n + 0*n))*(-n - 2*n + 6*n).\nAnswer: -930*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Suppose 0*h - 4 = -2*h. Let s(u) be the first derivative of -1 + 2 + 18*u**h - 17*u**2. Calculate s(c(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*t - 150 - 50, 3*t = -3. Let s = r - -129. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + -1 + sqrt(1216) - -2*sqrt(1216)*-2)**2 + -5).\nAnswer: -10955 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 5\/2*j**2 + 0*j**3 + 1\/5*j**5 + 0*j**4 - 169*j + 41. What is the first derivative of l(v) wrt v?\nAnswer: 4*v**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 - 172. Suppose 0 = 2*i + w*f + 5495 + 18208, -i - 11846 = -4*f. Round i to the nearest one hundred.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-5) + (-1184)\/(-740))*((-6408)\/2133 + 3)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286578 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12931 plus -612.27647?\nAnswer: -13543.27647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65808403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0.08. Let k = -0.11 - 7.89. Let z = -3 - k. What is the biggest value in g, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/273 + (-50)\/26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most as big as 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/24 - 11*y**3\/6 + y**2. Suppose -3*o = 2*f - 20, -2*f - 5*o + 4 = -10*o. Let z be (-45)\/(-84)*f*4\/3. What is b(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 6*j**2 - 3*j - 4. Let v be d(-6). What is the greatest common divisor of v and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54203\/105 + -3614\/7. Which is the third smallest value? (a) -2 (b) -3\/43 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*u + 372*u - 5 + 5 + 290*u**2 - 714*u - u**3.\nAnswer: -u**3 + 290*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -480 + 480.1. What is the biggest value in q, 0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 - 4*k - 2. Let s(g) = 7*g**2 - 5*g - 2. Give -4*s(v) + 5*y(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 27.2, -589, -1\/12, 1, -0.5?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19689, 19691, 19693?\nAnswer: 19695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*(-9)\/45*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**4 + 10*w**3 + 37*w**2 + 3*w - 810844?\nAnswer: 8*w**3 + 30*w**2 + 74*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*((-66)\/12)\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6566 + 26?\nAnswer: 19.3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010101101110100001 (base 2) to base 11.\nAnswer: -1263535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)\/j**16*(j\/(j*j**7))\/(j*j\/(j*j**(-2\/9))*j))**(-13) assuming j is positive.\nAnswer: j**(2600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(176) + -2*sqrt(176)))\/((sqrt(165)\/sqrt(3))\/sqrt(5)))\/(((sqrt(72) - -1*sqrt(72) - sqrt(72))*3)\/(sqrt(567)\/sqrt(7))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8294 + 83019\/10. Let y = 2090 - 14583\/7. Find the common denominator of p and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7750, -59738, -200842, -475618, -928622?\nAnswer: -1604410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 (base 11) in base 15?\nAnswer: -1de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548349?\nAnswer: 3, 47, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18735, 74914, 168533, 299586, 468067, 673970, 917289?\n\"Answer: -y**3 + 18726*y**2 + 8*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -60*l**2 - 356*l - 8. Calculate y(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 - 2760531*l\/4 - 1380267\/2.\nAnswer: 3*(l - 920178)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {a: 3, z: 1, n: 5, o: 2, p: 1, y: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.3 plus -29?\nAnswer: 504.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Let h = -1.55 - -2.8. Let j = h - 0.65. Which is the second biggest value? (a) g (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8817.11 minutes to microseconds.\nAnswer: 529026600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -563504 divided by -3436?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - -109. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -7*v - 2. Let 16*c - 5*c**2 - 28*c**v + 20 + 23*c**3 + 4*c = 0. What is c?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 2*z + 407. Suppose 7*w = 8*w. List the prime factors of r(w).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, 4, 0, -4.\nAnswer: -4, 0, 4, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 68*b**2 - 22*b + 35641. Calculate t(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4224, -8415, -12606, -16797, -20988?\nAnswer: -25179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7267255\/1956563 + -3\/279509. Find p such that 0*p + 20\/7*p**2 + 4\/7*p**4 - u*p**3 + 2\/7*p**5 + 0 = 0.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 1 - -1 - -3 - (692 - 735).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1475860 and 763?\nAnswer: 10331020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**5\/60 + 2*c**3\/3 + 2*c**2 + c. Let d be u(2). Which is greater: d or 1\/116?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s + 368 = 13*s. Let h(r) = -r**2 - 28*r - 73. What is the remainder when h(s) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3629*x**3 + 2*x**2 + 802*x**3 - 835*x**3.\nAnswer: 3596*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 354125420 divided by -4\nAnswer: -88531355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a factor of 368866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1972335*h**2*j**2 + 3446133*h**2 wrt j?\nAnswer: 3944670*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -889.4546 - 58221.\nAnswer: -59110.4546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -37*k - 310. Let w(r) = -35*r - 300. Let m(i) = 8*w(i) - 7*y(i). Determine m(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59864, -59840, -59816, -59792?\nAnswer: -59768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 + 126. Suppose -2*l - 2*d = -110, c*d = 3*l + l - 220. Is 38027\/l*1\/(-2)*-10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1243 and 9?\nAnswer: 11187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633717 is divided by 180?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -38\/5*i**2 - 112\/5*i + 28\/5*i**3 + 2\/5*i**4 + 24 = 0.\nAnswer: -15, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 87. Let j = 36.999945 + q. What is j rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -145*q + 70. Let p(f) = 12*f - 6. Give 3*b(u) + 35*p(u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5274\/5, 2, 1 in descending order.\nAnswer: 5274\/5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 2*n**5\/5 + 1243*n**3\/3 + 208*n + 445. Differentiate j(m) with respect to m.\nAnswer: 8*m**3 + 2486*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 256018*h**3 - 8706924*h**2.\nAnswer: 2*h**2*(h - 34)*(h + 128043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293118448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6495 divided by -5\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from wtgbntbbwb?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 47*g - 42 = -z, 0 = 2*z - 5*z - 2*g + 14 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 174576 and -123.7.\nAnswer: 174452.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3651 + 3655. Suppose 2\/7*p - 2\/7*p**y + 0 - 2\/7*p**3 + 2\/7*p**2 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14703, 29468, 44291, 59172, 74111?\n\"Answer: 29*x**2 + 14678*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.750113 hours in minutes?\nAnswer: 165.00678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60*240\/6912)\/(((-15)\/24)\/1)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 6*v + 10*v + 121 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*u - 25*u - 2790 = 257*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = 0, -3*m + 3968 = -h + 1419. Which is smaller: -2556 or h?\nAnswer: -2556","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147.6 + -148. What is the closest to 1\/2 in 0.4, 2, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6 and -14\/195?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516858.\nAnswer: 2, 3, 86143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 15*j**2 + 44*j + 423. Let r be d(-14). Let p(n) = -220*n**2 - 40*n. Let t(s) = 17*s**2 + 3*s. Give r*p(w) + 40*t(w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -2 - (-12)\/4. Suppose 0*i - 3*i + 6 = 0. Let v = i + p. Solve -v*r + r = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 408373\/17 and 24023 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/55 - 105\/(-33). Solve g + a = 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l**(-4)*(l*l**(7\/5))**42)**(-12) assuming l is positive.\nAnswer: l**(-5988\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 8. Let h(t) = t**2 - 38*t + 77. Let x be h(36). Let f(u) = 3*u + 8. Calculate x*f(o) - 4*v(o).\nAnswer: 3*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-41) assuming a is positive.\nAnswer: a**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*m - 495*m = 269 + 397 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, r: 1, t: 4, y: 3}. What is prob of sequence tt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**9\/1008 + b**8\/70 + 28*b**3\/3 - 54. Let y(k) be the third derivative of d(k). Find w, given that y(w) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -99, -1, 1.26?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 >= 5192924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 25\/14, 78\/11?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 24*s - 48. Let m be c(-7). Which is smaller: 10 or m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30588, -61718, -93966, -127890, -164048?\nAnswer: -202998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 4*l, 5*n - 5*l = 40. Suppose h - n*h + 144 = 3*y, -3*y + 15 = 0. What are the prime factors of h\/5 - 10\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - 0.13. Let z = 18 + -13. Which is the nearest to -2? (a) k (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35010 and 35010.\nAnswer: 35010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -3*w, -5*w + 12 = -2*z + 39. Let g(d) = 11*d + 22. Let q(o) = 5*o + 11. Let l(m) = 6*g(m) - 13*q(m). Give l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127445.\nAnswer: 5, 625489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*n + 340, 4*p - 569 = -n + 111. Let x = p - 77. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77811.04 years to millennia.\nAnswer: 77.81104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6866489.54 rounded to the nearest 1000?\nAnswer: 6866000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21688029?\nAnswer: 3, 11, 219071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 2 r when four letters picked without replacement from {a: 4, t: 4, h: 1, n: 3, r: 2}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 26*w**2 + 122*w - 78. Give t(-30).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 784501327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h + 20. Let k be h\/(-30) + (0 - -2). What is the closest to -2\/7 in -2\/5, 0.5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1188 and -37\/5638908.\nAnswer: 50750172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -229. Let m = h - -53. Let q = 372 - m. List the prime factors of q.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20830284851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 - 0.24. What is the third smallest value in s, 0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -m - 3*v, -7*m + 8 = -6*m - v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10486*l**2 + 46430 wrt l.\nAnswer: -20972*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let s be 7\/14 + (-22)\/(-4). Let l be y(s). Let n = l + -2. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-72))\/((-2)\/(-8)). What is the third biggest value in -1\/2, -0.14, -0.1, z?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290371691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 29*q + 50 = 0. Calculate the highest common divisor of q and 375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 9. Let y be b(6). What is the tens digit of 10\/15 + (-31)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148980 and 1716?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:45 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 866 times -116\nAnswer: -100456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32807 is divided by 415?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -64 (b) -5 (c) -8 (d) 0.2 (e) 23 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2928 - 1.2928. Let g be (2\/(-6))\/(35\/(-42)). What is the fourth biggest value in g, -0.1, q, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 12:05 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 3*j + 2. Let a(n) = n**2 - n + 1. Suppose 11*k - 4*z = 16*k + 10, -2*k + z + 9 = 0. What is k*a(x) - m(x)?\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.3051 and 3555.\nAnswer: 3542.6949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - m + 278, 2*a - 134 = -2*m + 8. Suppose 0 = g + 41 - a. What is the greatest common factor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-65)*1 - 82\/(-26). Differentiate 6 + 2*m**t - 21*m**2 + 20*m**2 - 11*m**3 with respect to m.\nAnswer: -27*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -76559991*c + 1. Let r be u(-1). Let z be r\/44 + (-2)\/(-11). Round z to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.2 (b) 6 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -j + 7 + 10, -t - 3*j = -18. Suppose -t*s + 7*s + 4 = 0. Let d(p) = p**3 + p**2. Let w(g) = -20*g**3 - 15*g**2. What is s*w(b) - 15*d(b)?\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.0183 (b) 37 (c) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 90*a**5 - 633*a**4 - 609*a**3 + 4971*a**2 - 3945*a + 126 = 0. What is a?\nAnswer: -3, 1\/30, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15774929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllmninc. Give prob of sequence ci.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2672 and -65\/34402.\nAnswer: 275216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -9, -11, -15, -21, -29, -39?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -0.2.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*1*2552\/1392)\/((-5)\/35).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 6912*d + 4599. Let k(s) = -2*s**2. Give b(k(w)).\nAnswer: 4*w**4 + 13824*w**2 + 4599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 181 - 91. Solve 0*n + 5 = 4*s - 3*n, n = -s + i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38668702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(8\/(-6)) + -1. Let l(a) = -3*a**2 - 2*a - 4. Let h(z) = -4*z**2 - z - 4. Let b(i) = q*h(i) - 3*l(i). Solve b(x) = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -1559*b**3\/6 + 708*b**2 + 3879*b. Differentiate h(c) wrt c.\nAnswer: -1559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3) - (-2204)\/6.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 11*g + 8. Let q be r(-4). Let w be (q\/12)\/(2\/(-6)). Solve -2*u + w = 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/19)\/q**(1\/7) assuming q is positive.\nAnswer: q**(-5\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 892929, 0, -1, 29 in ascending order.\nAnswer: -1, 0, 29, 892929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5c93 (base 14) to base 15\nAnswer: 4c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12276*d - 414591 + 156795 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 84787, 84879, 84971, 85063, 85155, 85247?\n\"Answer: 92*m + 84695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 12. Suppose x - 54 = 4*m, 4*x - 118 = x + m. Suppose 21*a = 25 + x. What is the third biggest value in -0.4, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 753*u - 17*u**3 - 758*u as z*u**3 + s*u + o + a*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/60*(-12)\/(-14). Suppose -3*w + 19 = m*j, 40 = 2*w + 3*w + 5*j. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49495694.\nAnswer: 2, 251, 98597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.063 in -4, 1\/3, -553, -30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -1, 2\/127515, -5?\nAnswer: 2\/127515","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4394867*v + 4394867*v + 38135*v**2 + 8290*v**2)*(v - 3*v + 0*v).\nAnswer: -92850*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/((-1)\/125). What is the units digit of ((-6)\/(-27) - m\/(-18)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 21*d**2 - 3*d - 2. Does 8 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q**(1\/48)\/q)*q))\/(q\/q**(-10)) assuming q is positive.\nAnswer: q**(-671\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.00239901\nAnswer: 0.01199505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800958 is divided by 40018?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 595635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 22*b**2 + 24*b + 54. Let q be c(-23). Let i be 65\/2 + 2\/(-4). Is i at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + i**5 + 0*i**5 - 3*i**5 + 0*i**5 + i**5 + (-i**4 + 4*i - 4*i)*(-4*i + i + 4*i) - i**2 + 7*i**3 - i - 20*i**3 - 203*i**5 + 11*i**3.\nAnswer: -205*i**5 - 2*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, i: 6, x: 2}. Give prob of picking 2 h.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*j + 698*j + 284 - 345*j.\nAnswer: 47*j + 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148642 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68851336 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 7 + 13. Solve -n + 2*f = -2, 3 = 3*n - q*f - 2*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 8*t**2 - 6*t + 1. Let g be d(-6). Let q be (3\/(-3))\/(1\/g). Let j be (-6)\/36*-822 - (9\/3 - 6). Calculate the highest common factor of j and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50159, -50158, -50157, -50156, -50155?\nAnswer: -50154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a = 10. Suppose -l = a*l - 54. What is the highest common divisor of l and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2652 - 2651.8. Which is the second biggest value? (a) -3 (b) -72 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -642*f - 179115. What is d(-279)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-159)\/15)\/((-3)\/10). Let r = 203\/6 - d. Put 5, -0.16, r in descending order.\nAnswer: 5, -0.16, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -42. Let k = 84.7 - o. What is the closest to k in -2\/9, -0.2, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12406 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x - 13 + 12*x + 7 - 6. Let o be i(5). What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3840 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1211456330 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -15*r**3 + 3*r**2 + r - 1. Let g = 56 - 57. What is the smallest common multiple of d(g) and 1\/(2\/4)*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i - 7*i - 16*i)*(-4*i + 5*i + 0*i) + 8*i**2 - 4*i**2 + 5*i**2 + (-3 + 6 - 2)*(2*i**2 - i**2 + i**2) - 4*i - 2*i**2 + 4*i**2 + 3*i.\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(50)\/(sqrt(5)*2)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 169, 350, 577, 838, 1121, 1414?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121011221 - 10?\nAnswer: 121011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 40*a - 158. Let v be g(4). Suppose -5*n - 4*o = -42103, 4*n + 4*o - v*o - 33680 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 39. Let l = -1879.218 + 1898.2. Let k = y + l. Round k to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y**3 + 5*y. Let o(j) = -12*j**3 - 6*j. Determine 6*c(z) + 5*o(z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/7 + (-90 - -87). Let i = 162 + -124.5. Let w = i + -38. Sort w, -5\/4, d, 0.3 in descending order.\nAnswer: 0.3, w, d, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1 + -4 + 6). Suppose k*o + 2*a = -a + 4, -o + 4*a + 2 = 0. Solve o*z + 9 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6292632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + 40*a - 1 = -3*j, -3*j + 2 = -a. Solve -j - 3 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**7\/126 - y**6\/45 - y**5\/60 + 11*y. Factor h(l).\nAnswer: -l**3*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -212 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6 and 113\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4 - 179*a - 31.\nAnswer: -8*a**3 - 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -2, -4, -70, 1 in descending order.\nAnswer: 4, 3, 1, -2, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35930?\nAnswer: 2, 5, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - d + 23 = -23, -2*a = -5*d + 32. Suppose -j - 13 = -4*b, -3*j + 3 = -b + 3*b. Sort a, 2, b.\nAnswer: a, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-44)\/(-16) - (0 - 2) and 13\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52833456 rounded to the nearest 10000?\nAnswer: 52830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(112) - (5 + sqrt(112))) + (sqrt(112) + ((sqrt(112) + sqrt(112)*2 + sqrt(112))*4 - sqrt(112)) - sqrt(112)))**2.\nAnswer: -1200*sqrt(7) + 25300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -37266359.\nAnswer: -37266359.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) -7 (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.39399487 rounded to 2 decimal places?\nAnswer: -84.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 - ((-136)\/10 - -4). Let p(a) = -a - q - 11*a - 50*a. Let y be p(-3). What is the highest common factor of y and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*s**3 + 3*s**2 + 15366*s**4 - 29*s**3 - 15365*s**4 + 63*s**3 + 344 to the form m + a*s**3 + z*s + k*s**2 + t*s**4 and give m.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2. Let c(u) = 69 - 69 + 4*u**2 + 6*u**2. What is c(k(n))?\nAnswer: 90*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 82 - 67 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063561177 rounded to 7 decimal places?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20011121 (base 3) to base 6\nAnswer: 32454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -536?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -74.3. Let h = d - -4.5. Let s = h + -10. Which is the nearest to s? (a) -5 (b) 1 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -55. Suppose 11*j + 2*n + 107 = 12*j, -d*j + 595 = 2*n. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2982*w - 2990. Determine v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 4*w**2 - 12*w - 3. Let z be p(-6). Let s be 0 + -3 + 4884 + z. Let a = s - 48741\/10. What is the common denominator of 14\/9 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/13, 2\/7, -3, 1\/4, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24420 and 27223416?\nAnswer: 136117080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/5 + 56\/135. Let w = -22\/27 + l. Let i = 177895 + -177893. Which is the closest to -1? (a) w (b) i (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 97 (c) -0.053 (d) 2 (e) -0.2 (f) 6\/23 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*b - 6*w - 7, -w - 3 = 0. Let d be 2\/(-6) + 112\/12. Let r be (5 - d)*10\/(-8). Solve -4*q + 0*v - 26 = b*v, -v = r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x + 7. Let v be f(5). Let t = 1.9 - 5.8. Let j = -0.1 + t. Which is the third smallest value? (a) j (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 + 35*m. Let u(i) = -i**3 - 6*i. Suppose 117 = -28*o - 51. Determine o*p(d) - 35*u(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**2. Let y(c) be the first derivative of -5*c + 1\/12*c**4 + 0*c**3 + 0*c**2 - 4. Let z(u) be the first derivative of y(u). Determine t(z(n)).\nAnswer: -11*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 90 = 17*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o - 60*o + 22*o)*(o - 21*o + 4*o).\nAnswer: 480*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/((-608)\/(-570)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.071, -293, 11\/5 in descending order.\nAnswer: 11\/5, -0.071, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 + 3 - 11) + 10 + -7 + 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (33\/55)\/((4 + 56\/(-12))\/(-380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - 45. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t**2 + 15. Let j be w(0). Suppose -135 = -4*h - j. Suppose -23*p + 2135 = -556. What is the remainder when p is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 16, 34?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9*w + 8. Let f be u(4). Let l = -14 - f. Is (-24)\/13 + l\/(-91) + 108 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10076216 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -416267.0848 - -412598.6. Let n = -3656.5 - z. Let g = n + -12. What is g rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12442410 (base 5) to base 8.\nAnswer: -363472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5858208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2703306 divided by 52?\nAnswer: -1351653\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24569*f**3 + 42*f**2 - 4806*f**3 - 42*f**2.\nAnswer: 19763*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*q**4 + q**3*x**2 - x**2 + 36 wrt q.\nAnswer: 128*q**3 + 3*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**3 + 30*y**2 - 22*y + 40. Let x be ((-196)\/20)\/(3\/(-15)). Let h = x - 29. Let s be f(h). Round s to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 - 1592 = 333*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-175))\/(1250\/(-31250))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*g - 5*b = 9, 348*b - 345*b = -5*g - 67 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006413625667 to 7 decimal places.\nAnswer: 0.0006414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 4. Suppose 0 = x, -3 = n - x - 5. Let u(i) = -i**2 + 9*i**2 - 5*i**2 - i**n. Give q(u(y)).\nAnswer: -4*y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:56 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + -51. What is the remainder when h is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 3*j = 9, 2*j = 5*u + 13. Let t = 14 - u. Let a(n) = n**3 + 3*n**2 - 7*n - 6. What is the remainder when t is divided by a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1309*y - 4*y**2 - 654*y - 655*y. Let x(b) = -b. Let w be x(-17). Let g(p) = -10*p + w*p - 6*p. Determine l(g(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-9)*(2 + (-21)\/6). Let b(s) = -24*s - 8. Calculate the remainder when b(p) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 44\/(-10) + (-102)\/170. Let i be (25\/90)\/((-5)\/t). Let f = 8.5 - 8.7. Which is the nearest to f? (a) i (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 58, 84?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322 - 1342 + 9*g + 1052 + 901 to j + i*g and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 883419 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3058 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.08, -0.3, 2\/9, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 + 6*l**2 - l + 2. Let c(g) = -13*g**3 + 25*g**2 - 3*g + 9. Let x(d) = 2*c(d) - 9*k(d). Let a be x(3). Let p = 8 + -6. Are p and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4\/4 + 3*k**3 + 5*k**2 + 6*k + 4. Let c be q(-8). Let u = 41 - c. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 61751089\nAnswer: -12350217.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 284.6 and 4.\nAnswer: 288.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u**(1\/3)*u)\/u)*u)\/u**(-2))**5 assuming u is positive.\nAnswer: u**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1200211 (base 3) to base 2\nAnswer: 10011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from mbmbgbgmmmmmjmb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1813 = 9*k - 1853, 3*k + 12*h = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 5*d**4\/12 - 17*d. Let i(g) = -2*g. Determine t(i(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013519 is divided by 16891.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 76 = 12. Which is smaller: x or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 100100011111?\nAnswer: 100100011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22627, -90570, -203749, -362116, -565623, -814222, -1107865, -1446504?\n\"Answer: 8*s**3 - 22666*s**2 - s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*i - 5 = 0, -9*i = -90*b + 94*b + 110 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 8*j + 3. Let u be r(-7). Let a be u\/(-14) - (-19)\/7. Let h be 8\/10*20\/4*-1. Put a, h, 0 in descending order.\nAnswer: a, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 28 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-252)\/48 + (-2)\/(-8). Sort 1, -4, q.\nAnswer: q, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-50.69.\nAnswer: 20.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34791908 divided by -17395954.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 0.4, 13 in increasing order.\nAnswer: -9, -3, 0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.871485 minutes in microseconds?\nAnswer: 412289100","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 224719201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2678431 is divided by 9398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 2*q - 2*q + (0*q - 2*q + q)*(270*q - 91*q + 550*q) as p*q + g*q**2 + a and give g.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/2*495\/(-6). Let s = h + 61. Let b = -49 - s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u*u**(2\/13)))**(2\/37)*(u\/u**(-5)*u**(3\/8))**(-3\/5) assuming u is positive.\nAnswer: u**(-81033\/19240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 43*u - 162 = 0. Solve 4*t + o - 12 = 0, -u*t - o + 16 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, b - 4*s = 4 + 1. Suppose -b*v = -4 + 29. Let h(n) = -2*n - 6. Let c be h(v). Solve -8*j - 16 = -c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18695 - -813?\nAnswer: 19508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142657 is divided by 3566.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - 958?\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1001 and 33\/182.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 - 134. Suppose -2*j - 21 = -5*r, -2*j + 7*j + u = -2*r. Let n be ((-41450)\/r)\/(1\/600). Round n to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*f**5 - 2*f**2 + 25.\nAnswer: -5880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*b**2 - 796*b**2 - 801*b**2 + 1941*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5372 + 0.002417176\nAnswer: -5371.997582824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -41. Suppose 0 = -2*b + 1 + a. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 0 - (-3 - 0). Suppose t*y = l, 3*y - 2*l = -0*l. Suppose y = -2*b - 0*b + 12. Solve 5*u + 2*p = -20, 4*u = -p - b - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 120. Calculate the remainder when w is divided by 11\/(792\/584) + (-2)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y. Let g be a(0). Let l(b) = b + 5. Calculate l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbbbbbtbbtbtbbb. What is prob of sequence bbbt?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8320, -3165, 1988, 7139, 12288, 17435?\n\"Answer: -b**2 + 5158*b - 13477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**4 - q**2 + 14 - 27 + 13 + 3*q**3 + 2*q as f*q**3 + y*q**2 + v*q + s + z*q**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = o - 1312, -345 = -13*v + 12*v + 4*o. Calculate the remainder when v is divided by 159.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4827*-0.3\nAnswer: 1448.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 22 + 72 = 12*b - 18*b + 9*b, -2*w = -14*b + 480 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 21*h**2 - 104*h + 204. Calculate c(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*t**3 + 182*t**2 wrt t?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -0.2304681020363?\nAnswer: 5.7695318979637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrvvvvr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 16*t - 8. Let z(i) = -i**2 + 4*i. What is the lowest common multiple of z(2) and q(14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 32, -1\/6, -0.6, -6\/7 in increasing order.\nAnswer: -0.9, -6\/7, -0.6, -1\/6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2097887 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30360 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: What comes next: -289, -480, -661, -826, -969?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 57*m + 5. Calculate l(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:25 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwjf when four letters picked without replacement from {a: 1, j: 1, w: 2, f: 5}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 7*o**2 + 11*o - 19. Let y be l(8). Suppose 4*k + 5 = n, -y*n + 3*k = -k - 57. Suppose -826 = -n*a - 72. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1150857780984 - -0.13.\nAnswer: 1150857780984.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3595 at least as big as -3592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b1 (base 16) in base 10?\nAnswer: -945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10000110 (base 2) to base 10\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/3 + 52*n**2 + 103*n - 39. Solve k(r) = 0 for r.\nAnswer: -103, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(7\/3)*d)\/d**(-2\/23))\/(d**(-33)\/d*d*d**(2\/17)\/d) assuming d is positive.\nAnswer: d**(43756\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -34. Let j = 36 - i. What is the closest to 0.1 in -2, 9, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 2. Suppose -2*h + 12 = h. Suppose 0 = 3*i + 2*i + c + 6, -5*i - 3*c = -2. Let d be (-4)\/h - (-6 - i). Let r(l) = -1. What is d*r(p) - a(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Suppose 5*p + 29 = 5*v + j*p, 3*v - 3*p - 15 = 0. Calculate the remainder when v is divided by (-2)\/(-6)*(9 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 + 2*w**4 + w**4 + (-3*w + 1 - 1)*(w**3 + w**3 - 4*w**3) + 0*w**4 - 3*w**4 + w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, d: 5}. What is prob of sequence dwd?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 13*i - 4. Let o be 8*(-6)\/(-48)*(1 - 3). Let v(n) = 2*n**2 - 25*n - 9. What is o*v(y) + 5*b(y)?\nAnswer: y**2 - 15*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -723 + 745 - (0 - -17)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197603059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 41 + 29 = 0. Solve -2*u + y = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10)*b)**(-9\/4))**(12\/11) assuming b is positive.\nAnswer: b**(243\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -449, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - 20*i + 30. Calculate g(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 390519 - -2.9039\nAnswer: 390521.9039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -332\/6843465?\nAnswer: -332\/6843465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302.82118 rounded to 0 decimal places?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = 4*y + 1, 30 = -5*g + y. Put 4\/5, g, 0.3 in ascending order.\nAnswer: g, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441952 is divided by 279?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27792777 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 523253086 a multiple of 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:51 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91818660 + 1?\nAnswer: -9181865a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9164344 to the nearest integer?\nAnswer: 3027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3869838 and -39\/15233648.\nAnswer: 959719824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 38*v - 17. Let d(k) = -k**2 - 9*k - 10. Let u be d(-6). What is the hundreds digit of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.1 and 0.097?\nAnswer: -0.8827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -38 + (62 - 74)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 16*u**2 - 34*u - 12. Give h(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -14\/9, 0.5, 1\/8, -0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m - 2. Let s(j) = 4*j - 1. Let q(u) = -4*g(u) + 9*s(u). Let a be q(1). Let r be (-776)\/12*a\/(-2). What is r rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5)\/(u*u**(-2\/7)))**(-24))**(-42))**(-10\/3) assuming u is positive.\nAnswer: u**19200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/175)\/((-2)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -167, -250, -333, -416?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 23\/60*r**5 + 2\/3*r**3 + 5\/6*r**4 + 7\/120*r**6 + 0*r - 3*r**2 + 0. Factor l(s).\nAnswer: (s + 1)*(s + 2)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Suppose 3*d + y*l - 342 = d, 5*d - 867 = -l. Suppose d = 2*u - 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o)\/o*((o\/o**(2\/9))\/o)\/o assuming o is positive.\nAnswer: o**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4899*j**2 + 6042*j + 14742*j**2 - 1400*j wrt j.\nAnswer: 19686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 32, 52, 90, 152?\n\"Answer: x**3 + x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.036+-2553820.4\nAnswer: -2553820.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kssszszwzsswkwwkwks. Give prob of sequence wzz.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqt when four letters picked without replacement from rtrqrtqq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14226 + -1351488\/95. Let k = q + 1309\/190. Find the common denominator of k and 59\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -14*t + 42. Suppose -1784 = t*w + w. Find the common denominator of 35\/22 and ((-6)\/(-45) - w\/30)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1740\/(-522))\/((1 - 6)\/15) - 44\/(-1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272 - 181. Let v = 87 - s. Which is the closest to v? (a) -5 (b) 1\/4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.58 + 0.56. Which is the third biggest value? (a) f (b) 4 (c) 5 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*1\/(-3)*(-13 - -7). Sort -3, 1, b in increasing order.\nAnswer: -3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 3. Give v(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3 - 0 - (-4)\/(-104)*76)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -2.9. Let v = q + 3.04. Let c = v - 0.0425. What is c rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 4. Let i(m) = -7*m + 11*m - 3*m. What is g(t) + 2*i(t)?\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 3, 5 in ascending order.\nAnswer: -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)\/l**(-3))**(-4\/33) assuming l is positive.\nAnswer: l**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42676 - 15587. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a factor of 8053953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g - 45*g + 117 = 0. Let k be (g\/(-12))\/(3\/(-2)). Sort 5, k, 12\/11 in descending order.\nAnswer: 5, 12\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34485 divided by -121?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a = -51*a - 292961. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 15, -0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2252)\/(-2352) + 575\/6900.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 22, 44, 76, 118, 170, 232?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 36*c - 2569. Calculate v(71).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(j + j + 0*j)*(7 - 39 - 11).\nAnswer: -86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708 (base 16) in base 15?\nAnswer: 2e62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.6, 2\/13, -3, -1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.588 and -17832.\nAnswer: 117477.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**2 - 69448*l = 0.\nAnswer: 0, 17362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/((-188)\/(-180) + -1). Calculate the greatest common divisor of 65 and j.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:21 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 9154.47 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from {a: 1, q: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = x - 2, -5*x + 48 = -t. Suppose -3*a - 308 = -10*p, 6*a - 4*a = 5*p - 157. Calculate the remainder when p is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a - 1. Let y(w) = -6*w**2 + 12 - 3*w - w - w - w - 6. Give -8*l(z) - y(z).\nAnswer: -2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -80.6 (b) -3\/10 (c) 3 (d) 2\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -514 - -522. Suppose 3*k - r*k + p + 537 = 0, 117 = k + 3*p. Calculate the greatest common factor of 90 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 2 + 0 + -3. Let h(b) = -b + 4. Let x(j) = 3*j - 9. Calculate g*x(r) + 5*h(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3574800*j**2 + 1070701*j wrt j.\nAnswer: -7149600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*l - 4714, v = 3*l + 3641 + 1079. Let w = v - 2228. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1399074+-452\nAnswer: -450.8600926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:47 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 254866 + -9983\nAnswer: 244883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 42 = 4*y. Let a = 45 - 27. Calculate the lowest common multiple of y and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3475\/1449 - -3\/322. What is the common denominator of k and -67\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 152. Solve -h - 1 + 5 = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/20 + 15\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 141, 219, 393, 651, 981, 1371?\n\"Answer: -2*f**3 + 60*f**2 - 88*f + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*l - 6*l + 35*l)*(-5 - 2 + 5 - 26*l)*(1 - 2 + 0) to k*l**2 + x + o*l and give k.\nAnswer: 1482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-18)\/(-504))\/((-6)\/(-21)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*l - 421 + 421)*(2 - 2*l**3 - 2)*(2*l - 3*l + 2 + 0).\nAnswer: -112*l**5 + 224*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/2 - 5. Let u be 2\/(-8) - (-22)\/(-40). Sort u, -2, b in descending order.\nAnswer: b, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19596 and 18?\nAnswer: 58788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 2?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*g - 30*g + 16. Let r(s) = 5*s - 1. Calculate r(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2662.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2671 smaller than -2675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 36*f**2 - 3*f - 7. Let y be (-902)\/(-9) - (-10)\/(-45) - 2. Let g = y - 100. Is q(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + -0.45. Round m to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1762 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from hfjcw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5288 = 6*n - 5*n, -3*v + 2*n + 5300 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 + z + 3 - 5. Let x be r(6). Suppose -4*n + 153 = x*b, -4*n + 2 = -10. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 - j**2 + j - 3. Let m be (-59)\/5 - 1\/5. Let g = m + 15. Is q(g) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*o + 4*b - 17, -o = -2*b + 7. Suppose -4*v - 48 = -4*n, -3*n + o + 13 = 2*v. What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*y - 12 = 0, -g + 3*y - 4 = 6*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*p + 8, u + 2*p - 4*p = 0. Let l be (-7)\/u + 6\/(-12). Let z = l - -8. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/28 + (-279069)\/(-3836)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104462 + 104457. Let s = -3 + 2.9. Let q = 2.9 - s. Which is the nearest to q? (a) 0.5 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 2811896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 80 = 4*b, b - 2*b = 2*j - 36. Solve 5*c - 1 = -j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + 1)*4 + 4 + (sqrt(720) - (sqrt(720) + -1)))*-5*-4)**2.\nAnswer: 345600*sqrt(5) + 4640400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 8*r**2 + 8*r - 2. What is f(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j - 8. Let d be z(2). Suppose 0 = 5*i - p + 9, 4*i + 5*p + d = p. Which is the second smallest value? (a) -0.3 (b) 2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 21\/20*y**5 + 0*y**4 - 13\/2*y**3 + 0*y**2 + 10*y + 0. Find the second derivative of m(x) wrt x.\nAnswer: 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -12. Let o = 11 + g. What is the remainder when 58 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:46 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-16)*(2 - 16\/14). What is the third smallest value in -0.1, k, 0.11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25636 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*n - 25, 0 = 18*d - 16*d + n + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 259.56408 months?\nAnswer: 0.2163034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 40?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 12*a - 297. Let b be g(25). Is b less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90\/7, 3\/5, 1.1, -3 in ascending order.\nAnswer: -90\/7, -3, 3\/5, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -218\/5. Sort -27, l, -4, 0.4 in increasing order.\nAnswer: -27, -4, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1387136 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 497*j*m**3*w + 6*j*m**3 + 24*j*m**2 + 23*j*m - 17*j*w wrt w?\nAnswer: 497*j*m**3 - 17*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {i: 3, z: 6, q: 8}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5937.705 rounded to the nearest 10?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 1, z: 1, w: 2, b: 2}. What is prob of sequence wzw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -301, 501, 3 in decreasing order.\nAnswer: 501, 3, -3, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 2*c - 2*c**2 + (-2 + 0 + 6)*(5*c**2 - 4*c**2 - 3*c**2) + 1 + 0*c**2 + 3 + 2*c**2 + (0*c + 6*c - 3*c)*(0 + 3*c + 0).\nAnswer: c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3*(-80)\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 47) + 18 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1081444, 1081446, 1081448?\n\"Answer: 2*q + 1081442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1038 + -1033. Let i = -40 + 21. Let l = i + 27. Which is the closest to 0? (a) l (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 854 and 31.85?\nAnswer: 27199.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 1030 - 1020 = 0. Do l and 13\/114 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjpjppwjwwwjwawwa. What is prob of picking 1 a and 1 p?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2. Let k(r) = 4*r + 4. Let z(i) = 4*i + 5. Let g(o) = -5*k(o) + 4*z(o). Calculate j(g(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(8\/7)*m*m*(m*m\/(m*m**(-10)))\/m*m*m*(m*m\/(m**(-3)\/m))**(-4) assuming m is positive.\nAnswer: m**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1280 and -33\/8.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = q, -4*l = 5*q + 47199975. Round l to the nearest 100000.\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -25*y**2 - y. Give i(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27631068053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28\/6*(-6 + ((-3726)\/(-12) - -9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4, 0, -102023, -5 in decreasing order.\nAnswer: 4, 3, 1, 0, -5, -102023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 141906?\nAnswer: -1418d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55054759691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79977 or 80070?\nAnswer: 80070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 7*m + 2. Let i be g(5). Let j be (36\/10)\/(i\/(-20)). Let u be (3\/j)\/((-2)\/3). Which is the closest to 0? (a) 2 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25759553 divided by -5.\nAnswer: -25759553\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 6*w)*(w**2 - w + w) - w - 45*w**3 - 18*w**3 + 29418*w**2 - 29417*w**2.\nAnswer: -68*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 966*f + 3816 = 0. Calculate f.\nAnswer: 4, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 - -113.2. Let l be (0 - 0) + (-8)\/(-24). Which is the fourth smallest value? (a) -0.5 (b) h (c) l (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 567 and 2.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 2*c**2 - 2*c**2)*(-9*c**2 + 44*c**2 + 14*c**2).\nAnswer: 98*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 2236474 + 585403 = 544768. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23617174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*l**3 + 1249*l - 4*l**3 - 1249*l.\nAnswer: 88*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyuyuuuuuyyuuuuuyuu. What is prob of picking 2 y and 2 u?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14896 = -255*b + 241*b. Calculate the least common multiple of 7 and b.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 6 + 1 - 10)*(3*k**2 + 0*k**2 + 8*k**2)*(1 - 1 - 2*k**2).\nAnswer: 22*k**5 + 66*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580835.\nAnswer: 5, 116167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*g*j**4*k - 85640*g*j**3*k - 4*g*j*k + 3*g*j + 22*g*k + 5750*j*k wrt j?\nAnswer: 2964*g*j**2*k - 513840*g*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*w - 33789 - 43021 = 1325*w - 22653 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3896 and 19\/161772.\nAnswer: 157565928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 9:24 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7544 + -3998. Suppose -9*f = -w + 252. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 7*h**2 - 14*h + 19. What are the prime factors of q(-8)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujjjtbjt. Give prob of picking 1 j and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23333130 - -30020?\nAnswer: -23303110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32483306\/1199 - 27092. What is the fourth biggest value in -8, 5, w, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*z**3 + 94*z**3 + 95*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288785 to the power of 1\/2, to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.190384 months in millennia?\nAnswer: 0.002182532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 0.0357.\nAnswer: -0.4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (-153)\/12 - 23\/(-3912)*130. Is 0 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*g + 81 = -6*g, -g + 5 = 0. Let u be 4\/(q\/18 - -2). Solve -2 = u*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 68614.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1219432896*c**2 - 132016023.\nAnswer: -2438865792*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f + 15 = 0. Let k be (4 + 1)*f\/(-50). Find y, given that -k*y - 2*y**2 + 1 + 3\/2*y**3 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 249*f - 248*f - 207902, t = 5*f + 41596. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 5.74?\nAnswer: 0.7462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56 - 4*v - 56 + 2*v**4 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 10 + 11)*(-3 + 3 + 10)*(-2*z + 2*z + z)*(6*z**4 - 5*z**4 + 6*z**4).\nAnswer: 1470*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.4 - -9.3. Let u = 0.4 + -2.4. Which is the nearest to t? (a) 4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 186825122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 558 - 390. Suppose -11*g + y = -7*g. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 1, -0.5, 0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2088 by 261.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -222. Let z = c - 65. Is 22 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(-14 - -16). Solve p = 2*m - 5*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**6 - 77105*m**3 + 2935*m**2?\nAnswer: 120*m**3 - 462630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102111 + -1022?\nAnswer: -110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0 (c) 123 (d) -5\/4 (e) 1 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 7) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12, 0, -3, 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10708 + -5039. Let g(x) = 9*x**2 + x**3 - 5672 + k - 2*x**2 + 4*x. What is g(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78468 divided by -6036\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/3 - 2*b**3 + 11*b**2\/2 + 34*b. Let t be c(1). Sort t, 1, 2, -4.\nAnswer: t, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4418288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + i + 2*i - i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -483.1083124 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100549588733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 377647.97 minus -10258?\nAnswer: 387905.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44366, 40269, 36172, 32075, 27978?\nAnswer: 23881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25627173 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 121. Sort -2, l, 0.1, -6 in ascending order.\nAnswer: -6, -2, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*u + 75, -7 - 63 = -4*y + 2*u. Calculate the highest common factor of 54 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**8\/221760 + i**7\/9240 - i**6\/880 - i**5\/20 + 22*i**2. Let q(u) be the third derivative of k(u). Factor q(m).\nAnswer: -(m - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27.7 and -2.8?\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129519386 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10138 + -7993. Does 55 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 3*w - 16. Let b be i(6). Solve 0 = -n - b*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1277*0.3.\nAnswer: -383.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/4, 0.2, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113203 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:11 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.1103963 + -6.11. Round w to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d + 701 = 2681. Suppose 0 = 4*h - 3*c - 54, 3*c - c - 79 = -5*h. Factor 5*z + d*z**3 + h*z**2 + 20*z**4 + 20*z**2 - 5*z**2.\nAnswer: 5*z*(z + 1)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 17*m**2 + 9*m + 5. Let s be b(9). Suppose -o - 14 = -2*o. Solve o = s*t - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270984)\/(-3226000))\/(12\/50).\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (220\/6)\/((-14)\/(-483)). Suppose 0 = -3*i - c + l, i + 0*i - 4*c = 426. Is i + -1*9*(-2)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/58044 and -145\/378.\nAnswer: 522396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8206 - -1669. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 2, 7, 1 in increasing order.\nAnswer: -1, 1, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3614\/65 - (-4)\/10. Let i be (-2)\/4 + (-18)\/(-4). Suppose -2*o + 7*o - 5*x = 55, i*x + 23 = o. What is the highest common divisor of o and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 394 + -280. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + (-102)\/(-4). Is b != 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2816 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398082255?\nAnswer: 3, 5, 3989, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 3. Let x be w(-3). Let n be 92*x\/(-3 + -9). Let g = n + 13. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2039 + -3897. Let k = -435 - h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 32. Let b be p(7). What is the remainder when 24 is divided by 3\/(-4)*(b + 34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (4 - 4\/1). Let f be -1 - (2 - -1)*-7. Suppose -k - 1980 - f = w. Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Suppose 3*g = 3*c - 0*c, 0 = -3*g + 6. Solve 0 = -c*f - b*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 - 24*h - 11. Let x be t(11). Suppose 5*u + 51 = x. Is 81 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7*105)\/3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**6\/3 - 6*j**5\/5 - 4*j**3\/3 + 9*j - 61. What is the third derivative of d(w) wrt w?\nAnswer: -120*w**2 - 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -5*v**4\/12 - v**3\/6 + 8*v. Let z be a(1). What is the units digit of (312\/65)\/(z\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196924842?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 26*i + 157. Let l be b(-10). Let m(r) = -4*r + 4. Let y be m(4). What is the tens digit of (-332)\/l + y\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44294, 13, -4, 4 in ascending order.\nAnswer: -44294, -4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484140 is divided by 828044?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1098481813 or 1098481815?\nAnswer: 1098481813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/130 + 18\/(-117))*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:47 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-84)\/54 - (-2)\/9\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-2)\/8 + (-12)\/(-16)). Let j be 18\/40 + (-3)\/15 - 0. What is the second smallest value in j, 5, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(-2 + 0 + 7*s + 1)*(4*s**3 - 5*s**3 + 3*s**3).\nAnswer: 42*s**4 - 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 - 3*p**2 - 4*p + 2. Let m(l) = -5 - 2*l**2 + 2 + 2*l**3 + 196*l - 199*l + 5. Determine 4*m(x) - 3*t(x).\nAnswer: -x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/12 + 7*q**3\/3 - 5*q**2\/2 - 49*q + 2. Let g(z) = z - 1. Give -5*g(j) + t(j).\nAnswer: -j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(-2451))\/(16\/6)?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0 + 7\/3*t**3 + 5*t - 3*t**2 + 1\/20*t**5 - t**4. Is o(11) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3269.\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*r - 13 - 21, -5*d = 2*r - 38. Let u = -23 - -16. Let v = r + u. What is the remainder when 6 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*o - 3*f, 5*o = 3*f - 21 - 20. Suppose -5*y + 46 = 4*u - u, 0 = -u + 2*y + 30. What is the lowest common multiple of u and o*(-4)\/(-3 + 5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862*y + 1180 = -860*y. What are the prime factors of y?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -2*v**4\/3 + 19*v**3\/6 + 243*v**2\/2 + 3*v - 87. What is the first derivative of y(x) wrt x?\nAnswer: -16*x + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 558967\/5 or 111793?\nAnswer: 558967\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 577 - 474. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.5 + -22. Let x = -29.5 - h. Let v = x + 23. What is the nearest to 2\/11 in 3, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2966.\nAnswer: 5\/2966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/20 - 54\/(-4). Solve -3*o - o = r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3716460*u**3 - 194574*u**2 - 9.\nAnswer: -22298760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n. Let m(u) = -76*u + 5. Calculate a(m(s)).\nAnswer: -228*s + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.256 - 4.744. What is the closest to -2\/7 in 3\/8, c, 15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = -2*y, -4*y = -4*s - 0*y + 20. Solve s = 2*z + 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + -2.02. Let f = y - -1.999983. Let w = 0 + f. Round w to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-55)*(-39240)\/(-5232)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, 0.3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -38, -39, -44, -53, -66, -83?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -76*v**2. Let k(i) be the second derivative of i**5\/24 - 71*i**3\/6 - 130*i. Let w(q) be the second derivative of k(q). What is w(n(g))?\nAnswer: -380*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/(b**(-2\/11)\/b*b))\/((b**(-2\/17)*b)\/b**8) assuming b is positive.\nAnswer: b**(1399\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.85 - 15.35. Let x = 0.2 + 0. What is the second biggest value in x, z, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294554526.\nAnswer: 2, 3, 7, 7013203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 18310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 1, e: 3, x: 3, g: 1}. What is prob of picking 1 x and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 1761 = 1657 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7292 and 40313822.\nAnswer: 3646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -2 + 16\/4. Let j = 11 - q. What is the nearest to -1\/4 in 3, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 + 3 = -5*o. Let l(t) = 9*t + 3. Let p be l(0). Suppose p*m = 4*z - z + 42, 2*m + z - o = 0. Solve 0 = c + 3*k - 3, 2*k - m = 2*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7484089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-2)\/(-9) + (-376)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/6 - 135*c**3\/2 + 20293*c**2\/2 - 4032847*c\/6 + 16578562 = 0.\nAnswer: 91, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*j + 3*j. Suppose -4*x - 5 = -5*f, 3*x - 2*f + j = -0*x. Which is bigger: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 4*s, -3*f - 7 = -4*s + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35394)\/(-3672) + (-2)\/(-16)*2. Let m = u - 301\/45. Find y such that -2\/5*y**4 + 2*y**3 - m*y**2 + 0 + 8\/5*y = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, a: 7}. What is prob of picking 3 a?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24214 + -24213. Sort -10\/7, 4, -4\/7, y, -2\/3.\nAnswer: -10\/7, -2\/3, -4\/7, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -32. Let r = d - -22. Let j be (-4 + 3 - -1)\/r. Solve -2*w = -j*m - 4*m + 2, -21 = -2*m + 5*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75) - ((sqrt(75) - 3*sqrt(75)) + -2)) + sqrt(75))**2 - (-2*sqrt(75) + 3)**2 - (0 + sqrt(75) + 3 + sqrt(75) - sqrt(75)*1*3)**2*5.\nAnswer: 310*sqrt(3) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = -5. Let h(z) = 4*z**3 + z**2 - 3*z + 3. Let j be h(1). What is the highest common divisor of w and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:33 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 2*q**5\/15 + q**4\/2 - 4*q**2\/3 + 79. Factor w(y).\nAnswer: 2*y*(y - 1)*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/10 - -11)\/(11 - 9 - 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.177 less than 4?\nAnswer: 3.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.66595 litres?\nAnswer: 56665.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16072 + -16944. Do v and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0331 and 10746325711.59.\nAnswer: 10746325711.6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2.1. Let d be -1*(-2 + 1) - -3. Let f = -0.5 + 1. Sort d, f, a.\nAnswer: a, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 44*g + 222\/5.\nAnswer: -2*(g - 111)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**7\/5460 + 17*u**6\/1170 + 289*u**5\/780 - 184*u**3\/3 + 232. Let f(b) be the third derivative of l(b). Factor f(g).\nAnswer: 2*g*(g + 17)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -44884 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 4*l**2 + 16*l + 4. Let w be (1\/(-3))\/((-39)\/(-234)). What is the lowest common multiple of (-220)\/(-14) - 4\/(-14) and h(w)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 47. Let b be x(21). Let f = 2 + -2. Suppose 15 + f = 3*c. Solve b = -c*i + 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/32*296\/(-1184).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + 69972\/(-1938) + (-794)\/38.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -954*u - 35341. What is l(-37)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*l**3 + 47*b*l**2 + 200165*b*r**2 - 22*b - 14*l**3*r**2 + 9*l**3 - l**2 - l*r**2 + 2 wrt r?\nAnswer: 400330*b*r - 28*l**3*r - 2*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54612653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 15, g: 5}. What is prob of picking 3 k?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7409705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - g - 7 = 2*g, -g = z + 9. Let p(o) = 3*o**2 + 5*o + 3. Is p(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90159769 divided by 10?\nAnswer: -90159769\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 5, s: 2, f: 1, v: 1, j: 1}. What is prob of sequence fj?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*h = 5296 - 7154 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53930294 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61124, 119891, 178656, 237419, 296180, 354939, 413696?\n\"Answer: -n**2 + 58770*n + 2355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2037 + -3713?\nAnswer: -5750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.48 less than -56.4133?\nAnswer: -62.8933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -45, 2, 1 in ascending order.\nAnswer: -45, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = k + 4*k + 10, 0 = 5*k - 2*y + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 120*p**3 + 32*p**2 + 32*p + 32. Suppose -73*b + 45*b - 84 = 0. Let u(h) = -11*h**3 - 3*h**2 - 3*h - 3. Calculate b*y(k) - 32*u(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105014, -104997, -104980, -104963, -104946?\nAnswer: -104929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 1. Suppose i = -i - 12. Let g = -5 - i. Let c(r) = 4*r - 6*r + 2*r - g - r. Calculate -2*c(z) - 3*s(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/10, 0.3, -2\/5, 4, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*x + 5*h = -225*x - 87 + 65, -5*x + h + 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63779)\/1363 + (-354)\/1711?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 9*l**2 + l - 1. Let k be j(9). Let y = -5 + k. Solve y = 2*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3. Let n(y) = -5*y**3. Let p = 55 - 52. What is p*n(u) + 5*g(u)?\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*t + 2939 = -2610, -3*d + t + 5543 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1371 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 23, 53, 97, 155?\n\"Answer: 7*b**2 - 5*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -p - 5, -4*i + 22 = 3*p. Suppose -o + 4*o = p*x + 137, 0 = o - 5*x - 37. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105652, -207445, -309238?\n\"Answer: -101793*h - 3859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -287500 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 37*m. Let q(i) be the second derivative of -16*i**3 - 3444*i. What is n(q(o))?\nAnswer: -3552*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 35*l + 75. Let a be v(-37). Sort -3, 6, 0, a in descending order.\nAnswer: 6, a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Suppose 0 = -u*d + 2*y + 107 - 27, 2*d = 3*y + 21. Find the common denominator of 55\/14 and d*(2\/28)\/((-3)\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/9 - 4\/9*y**2 - 4\/9*y = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 5. Let c be n(2). Suppose 27 = 3*s + c*v + 2*v, 36 = 4*s + 2*v. What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + u**2 + 3*u + 5. Let d be t(0). Let g(p) = 17 + p + 5*p + 3. Let y(o) = -7 - 2*o - 2*o + 2*o. Calculate d*g(h) + 14*y(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4)**(6\/5) assuming b is positive.\nAnswer: b**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*w = -7, -7*w + 4*w = 5*t - 53. Let v(a) = -4*a**2 + 65*a + 16. Is v(t) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x + 3*x + 3*x - 5*x + 3*x**2 - 3*x as q + s*x + r*x**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 104.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000001 (base 2) in base 15?\nAnswer: -2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a - 28. Let q(l) = 36*l + 92. Let w(h) = -4*q(h) - 13*z(h). Let g be 1\/(((-1)\/(-9))\/(-1)). What is w(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67554198 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)*t**(-12))\/(t**(-4)*t**(2\/11)) assuming t is positive.\nAnswer: t**(-292\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189156 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfgggvgufgfgvgffg. Give prob of sequence ggu.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1841 or -1842?\nAnswer: -1842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let n(p) = 2*p - 5. Let v(q) = q - 4. Let y(x) = 4*n(x) - 5*v(x). What is y(h(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -55*b - 160. Give y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 921725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42635517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 64 = -3*o. Let c = o + -55. Let w = c - -45. Calculate the lowest common multiple of 10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.12288 litres to millilitres.\nAnswer: 1122.88","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(720) - sqrt(135)\/sqrt(3)) + sqrt(720) + -3 + sqrt(720) + -4)**2.\nAnswer: -594*sqrt(5) + 5526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404875 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1743828 (base 11) in base 16?\nAnswer: -2d3429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 6*t + 3. Suppose -d - 5 + 21 = 0. Suppose -3 = d*x - 17*x. Suppose r = -2*r - 3, 0 = -l - x*r + 4. Determine u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -621*s**3 + 1248*s**3 - 623*s**3 - 16*s**2 - 17*s**4 - 4 in the form z*s**4 + x*s + h*s**2 + k*s**3 + m and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5544 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0)\/((-6)\/(-6)). Suppose 4*z - 4*o - 80 = l, 12 + 16 = 3*z + 5*o. Solve 5*b = 5*v, 0*b = -5*v + b - z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.1 - -21.6. Let x = h - 11.5. Which is greater: 6 or x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1358 + 698 + 155 + 190 + 868)*(-5 + 2 + 0)*(3*d - 5*d + 4*d).\nAnswer: -19614*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from fcff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 15. Let r be h(0). Let z = r - 11. What is the second derivative of -2*f**z - 5*f + f + f wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s - 7*s**3 + 74153*s**4 - 512 + 7*s**3 + 359*s**5 - 74153*s**4 wrt s?\nAnswer: 7180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 17990 - 17990 + 2*z. Let f(o) = -40*o**2. What is k(f(v))?\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - ((-72)\/(-2) - 1). Let q = 32 + v. Let m(g) = -2*g**2 - 3*g + 4. Give m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 - z + 17. Let p be (-5)\/10*(-1 - -1). Let u be n(p). Let v = -8 + u. Calculate the highest common divisor of 72 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {u: 1, w: 1, y: 6, r: 2, a: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*o**3 + 2 - 2.\nAnswer: 489*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2. Let a(w) = -149 - 6*w + 304 - 198. What is a(b(z))?\nAnswer: -6*z**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 - 15*v**2\/2 + 48*v - 54.\nAnswer: -3*(v - 2)**2*(v + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 + 150. What is the remainder when 334 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 38*j**2. Let v be ((-79)\/6 - -14)*(-4)\/(-100). Let p(b) be the third derivative of 0*b**3 + 0*b + 0*b**4 - v*b**5 + 0 - 6*b**2. Determine p(t(f)).\nAnswer: -2888*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502258.\nAnswer: 2, 107, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {d: 5, w: 4, y: 1, c: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4151.4201?\nAnswer: 4151.4201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.9 - -101.07. Let u = y + -115. Let c = u - 0.37. Is -1\/2 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 12*b**2 + 10*b - 14. What is g(6)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 13402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -188392, 1, 10, 0 in ascending order.\nAnswer: -188392, -3, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 7. Let u be x(-5). What is the first derivative of -24 + r + u*r + r wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3 - 3 + 6 - 1 + (-2 + 1 - 1)*(-2 + 0 + 4) - 2 + 2 - 1 + (-3 + 3 - 1)*(3 + 0 - 2))*(-3642 + 3642 - 14*u).\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-5)\/(-30)). Is 864\/33 + z\/(-11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541761 is divided by 49250?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 540 divided by -30\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**4 - 995*h**3*p**2 - 447*h**2*p + 127*h*p + 4*h - p**2 - 2*p + 1756 wrt h?\nAnswer: 48*h**2 - 5970*h*p**2 - 894*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b67 (base 14) in base 8?\nAnswer: -365437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2803090 and 17\/12960.\nAnswer: 3632804640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*x + 130*x = 58*x. Factor 2\/7*t + x + 2\/7*t**2.\nAnswer: 2*t*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*p**3 - 69057*p + 28861912 wrt p?\nAnswer: 90*p**2 - 69057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1 + 5. Let j = m - 1.4. What is the second biggest value in -5\/3, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 8.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.4 + -15.6. Let n = 4.2 + k. Let m be 2 + (-95)\/35 + 1. Which is the smallest value? (a) m (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 3*c - 10, -b - 109*c = -110*c - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 9*i**4\/4 - 69*i + 32. Differentiate a(s) wrt s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 - 1) + -1)\/1. Let a be 5 + d + -8 + 4. Let w be 2\/(-8)*(-40)\/a. Is 4 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 1. Determine y(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 104306*r. Let i(a) = 6*a**2. Determine v(i(j)).\nAnswer: 625836*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q + q - 111*q)*((3 + 4 - 5)*(-3 + 3 + 1) + 2 + 1 - 4).\nAnswer: -97*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 3. Let n(q) = 103 + 4*q**2 - 4*q + q**2 - 11*q - 6*q**2. Let f be n(-20). What is v(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrrpppprrpr. What is prob of sequence prrp?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/7, -6\/5, 1, -0.08, 4\/3, -442?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22779 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -255, -372, -491?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 67*u - 227. What is g(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62537?\nAnswer: 23, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518649?\nAnswer: 11, 138059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**2 + 3*z - 3*z)*((0*z + 3*z - 5*z)*(-z - 2*z + z) + 3*z**2 - 3*z**2 + z**2) to l*z**2 + r*z + k*z**4 + n + x*z**3 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010110 + -1?\nAnswer: 100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6406614, 6406611, 6406608, 6406605?\nAnswer: 6406602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 12*r**2 - 13*r - 18. Let d be p(-11). Factor -1\/8*b**2 + 0*b + 1\/8*b**d + 0 + 0*b**3.\nAnswer: b**2*(b - 1)*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/60 + 2*y**2. Let x(h) = -h**2 + 8*h. Let b(t) = 5*t**2 - 20*t. Let f(q) = 2*b(q) + 5*x(q). Determine f(c(g)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4877265 decades in millennia?\nAnswer: 0.004877265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 12 = -26. Let l(d) = 3*d**2 + d + 1. Calculate l(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -2*t, -19*t = -22*t + 2*o. Solve 0*l - l**2 + 0 + 1\/2*l**3 + 1\/2*l**t = 0 for l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 - 0.26. Let o be ((-23)\/3)\/(-1 - 10). Let d = o - 1\/33. What is the nearest to d in h, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -44) + (-6 - (6 - 40) - 4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415b5 (base 12) to base 16.\nAnswer: 14e19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557951 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:24 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 20*k**3\/3 - 6*k. Does 9 divide s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227.42445+29959373\nAnswer: 29959600.42445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/6)\/(72\/(-540))*(-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1716.82 + -1717. Which is greater: a or 19\/24?\nAnswer: 19\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3098120 and 69\/22.\nAnswer: 34079320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*m = -32, -85*m + 18 = b - 82*m for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 58*g**2 - 355*g + 46. Determine k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 21 + 56 - f + 44*f**2 to j*f + s*f**2 + m and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 12:36 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/716 and (6955\/13696)\/(2\/8).\nAnswer: 5728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/((-13)\/26). Let k = i + -1. Suppose 13 - 3 = k*u. Solve -5*z = -u, 4*z = 2*t - 1 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 7) in base 15?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -14. Suppose y + 3*i - 11 = -0*y, -12 = -w*i. What is the highest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 888 by -2.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 4)*(2*d - 3*d - d)*((4*d**3 - 5*d**3 + 2*d**3)*(-2*d - d + 5*d) - 17*d**4 + 54*d**4 + 67*d**4).\nAnswer: 636*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + 12034650?\nAnswer: 12034631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 877.1 and 0.037?\nAnswer: 32.4527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -43.96. Let j = p + -22. Round j to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -35515*n - 1882299. Determine o(-53).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -38, -75, -122, -179, -246?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let u = -4 - -6. Let z be d(u). Find the second derivative of z*y**2 + 0*y + y + y wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 31. Sort 1, 2, r in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 17*p + 30*p + 30*p in the form g*p + n and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 52*n - 610. Let a be v(-9). Solve -8*w - 28 - a = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4739, -4976, -5645, -6962, -9143, -12404, -16961, -23030?\n\"Answer: -36*x**3 + 15*x - 4718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*d + 40891 = 164965 for d.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*b + 5 = 0, b - 2*b - 3 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49624 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5546, 4, 23.\nAnswer: -5546, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414188076.\nAnswer: 2, 7, 47, 883, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(6 + 1 + (-184)\/22)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l + 991 - 24*l - 8*l + 18*l + 222 to b + w*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1007 = 5*v + 3*k - 223, -2*k = v - 246. Let n(i) = i**3 + 5*i**2 - 3*i + 4. What is the remainder when v is divided by n(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1748 = -4*q - 5*s, 1311 = 3*q - 0*s - s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.265 - 39.5889\nAnswer: -39.3239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + m**2 - 3*m**2 + (-1 + 4 - 1)*(m**2 - m**2 + 2*m**2) + 99*m**2 + 85*m**2 - 162*m**2 + (m + m - m)*(-m + 0*m - m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2163453 is divided by 540767?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*q - q - 276*q - 69390 = 0 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 4 - 4)*((933 + 307 + 517)*(2 - 3 + 3) + 1 + 1 + 0).\nAnswer: -14064*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 2*n + 1. Calculate r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272428662?\nAnswer: 2, 3, 11, 4127707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 21. Let u = -24 + 29. Suppose 4 = u*l - 3*s - 1, 20 = 4*s. Calculate the least common multiple of l and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -765 + 784. Solve -3*z = z - 5*q - m, 2*q + 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z + 2*z**2)*(-6*z - z - 5*z) - 167 - 8*z**3 + 167 to g*z**3 + n*z**2 + m*z + c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(90) - sqrt(10)))\/sqrt(5).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from zvfvfzvzzffvvf?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 482 - 482. Suppose 0 = u - 4, -5*y - u + 577 + 1497 = q. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 12:04 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.97 + 5. What is z rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 96 = l - 449, 4*l = 3*z - 198. What is the remainder when 1119 is divided by z?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/840 + 313*r**5\/105 + 97969*r**4\/42 - 1983*r**2. Factor y(m).\nAnswer: m*(m + 626)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 9. Let j(p) = 2*p + 9. Let b(y) = -4*j(y) + 5*v(y). Let o(n) = 3*n + 9. Let l(z) = -2*b(z) + 3*o(z). Is l(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - 95 - (-33 - -5)) + (13 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*i - 3*x, 4*i - x - 6 = -3*x. Put -2, 8, 1, i in descending order.\nAnswer: 8, i, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 933, 1395, 1857, 2319, 2781?\nAnswer: 3243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*k - 85*k + 5 = -7*u + 86*k, -4*u - 8 = -3*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s - 4*u, -4*s = -0*s - 4*u - 8. Suppose -5*x + 65 = h, 2*h = s*x - 13 - 39. What is the smallest common multiple of 18 and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*m - 101 = -2*m + 344. Solve -3*a - 7 = -k, k - m*a = 12 - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y - 476. Let j = -72 - -153. What is the remainder when j is divided by z(84)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*o**2 + 6149895*o - 2306205.\nAnswer: -5*(o - 153747)*(8*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*-6*(sqrt(5) - (sqrt(5) - (sqrt(5) - (-1 + sqrt(5))))))**2 + -2.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/933432 and -49\/2670?\nAnswer: 4667160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g - 28938 = 15976 + 5360. Does g = 884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 8 - 12)*(-1 + 2 + 0)*(-212*a**2 - 300*a**3 + 212*a**2) in the form c*a + p*a**3 + b*a**2 + l and give p.\nAnswer: 9900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-11 - -8) + -75) - (-4 + 11)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*w - 1607581 = 0, 2*o + w - 1607589 = 3*o. Let s = o + 827591. What is s rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -36*z + 40. Let q be d(6). Let l = q - -1230\/7. Let a = 2 - 2.5. What is the smallest value in -5, l, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 224325.2?\nAnswer: -112162.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9297.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 24 = -f + 25, -5*x + 12 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/9 - 1786*i**2\/9 - 2459735*i\/9 + 1477177484\/3 = 0.\nAnswer: -1572, 1679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120497 to the power of 1\/2, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03712146 to four dps.\nAnswer: -0.0371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6 = -3*q, 3*q - 27 = 3*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - -42 - (-7 + 14). Solve -3*a = -12, -3*u - a + l = 44 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388 = -565*g - 434 - 438 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 654 and 48?\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -40 (b) -0.4 (c) -9\/4 (d) 5 (e) -3 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.64458 milligrams in kilograms?\nAnswer: 0.00009564458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2637\/1762 - 3\/881. What is the third biggest value in 3, 0, r, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jybbbyyyfybfkyykkb. Give prob of picking 1 y and 2 b.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15303560 - 0?\nAnswer: 15303560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12237 is divided by 12066.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 35*y - 32*y + 3*d, 2*y = -5*d + 7 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 7, 5, -2\/15 in decreasing order.\nAnswer: 7, 5, 0.4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29 + (-42)\/7 - 8. What is the derivative of 93*n - 8 - 2 + k - 34 - 95 wrt n?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2360 at most as big as -2360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a6a3665 + 4?\nAnswer: -2a6a3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(1573)*-3 + -1*sqrt(1573)*-1)**2)*6.\nAnswer: 37728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 24*a**2 - 14*a - 6. Let p = -47 - -53. Is h(p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in -2\/35, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.163 + 0.043. Let x = -2.79 + 15.47. Let d = t - x. Round d to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -758 - -755. Let q(l) = 4*l + 2. Let t(g) = -g - 1. Let v(c) = -q(c) - 2*t(c). What is v(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -114 in -0.3, -4, -0.121, 2\/13, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1516879 and 5.\nAnswer: 1516884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*k + 14, 21*p + 5*k = 18*p - 2. Let m be p\/(6 - 351\/60). What is the greatest common divisor of m and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 + (-15)\/(-10). Solve -5*h - c*n = -40, 2*h = -0*h + 4*n - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 345 = 4*p + 2*v, -2*p - 3*v = -173. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*p - 9, -716 = -4*r + 2*p - 728 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 0, -3, -8 in descending order.\nAnswer: 81, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -81\/4. What is the closest to 0 in 1, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 75*h - 77*h - 6 = 0, 11*h + 57 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 12. Let x be m(10). Let p be 8\/(-16)*(x - 2). Suppose p = h - g, 2*h = 2*g + g + 1. Solve 3*r + 8 = -u, u = h*r + 6*u + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 7) to base 15\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, l: 1, m: 1, h: 1}. Give prob of picking 1 c and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 67 = -5*w, 15*s - 11*s - 2*w - 46 = 0. Suppose j - 4*f = s, 5*j - 4*f - 80 = j. What is the lowest common multiple of 74 and j?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3782 + 3794. Solve -345*a - w = -347*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3 + 38133*m - 38140*m - 2. Let t(i) = 3*i**2. Determine t(o(g)).\nAnswer: 147*g**2 + 210*g + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*d + 37, -2*d + 4 + 4 = 0. Suppose -4*c + 277 = -v*t, -4 = t - 7. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -5, 368, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -107 (b) 3 (c) -12541 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfql when four letters picked without replacement from {q: 2, m: 1, l: 2, o: 1, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -2\/17 (c) -82 (d) -5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.158413588 rounded to 5 dps?\nAnswer: -1.15841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 3*v + 1. Let b be q(-3). Let z(m) = 2*m - 14. Let a be z(7). Let t = 110 + -109.7. Sort t, 6\/11, a, b.\nAnswer: a, t, 6\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q. Suppose y - 5*l + 4 = q, 0*y + 8 = -2*y - 2*l. Put 5, -3, y in increasing order.\nAnswer: y, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 277, -3, 9, -1 in descending order.\nAnswer: 277, 9, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose 3*p + t*i - 41 = 0, 3*p - 4*p = 2*i - 11. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/5))\/g*g**1*g*g*g**1*g*g**(-1\/7))\/((g*((g*g**0)\/g)\/g*g*g**(-2\/33))\/(g*g**(-2)*g)**(1\/45)) assuming g is positive.\nAnswer: g**(4987\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5160339 to the power of 1\/2, to the nearest integer?\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 45 = 6*p - f, 2*f = 5*p - 60. Suppose -120 = -6*a - 90. Calculate the greatest common divisor of p and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 7*j**2 - 6*j - 7. Suppose 1332*t = 1341*t - 72. Calculate the smallest common multiple of u(-7) and t.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (14\/(-4))\/((-17)\/102) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 5*k + 3. Let c be h(-3). Let t be 2\/c - (-747)\/27. Solve -23*y**4 - 13*y**2 - 2*y**5 + t*y**3 + 2*y + 9*y**5 + 0*y = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 1:14 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:40 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3812 = -2*c, -4*c - 2*v + 3*v + 7610 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/100)\/(-4)*5\/(-15)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 955 + -940. Calculate the lowest common multiple of 153 and v.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or -105726?\nAnswer: -105726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 + 108*b + 46. Calculate n(-6).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 14*c**3 + 11 - 23*c**3 - c.\nAnswer: -9*c**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -262 + 48. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*n + 2*n - 26, -4*a + 30 = -5*n. Suppose -2*r - 3*r + a = 0, -3*o + r - 1 = 0. Are 13 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 + 7 = 0. Let l(t) = 8*t**3 - 2*t**3 - 2*t**3. Let z be l(o). Which is the biggest value? (a) -0.4 (b) -2\/15 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 375*u - 784*u + 0)*(-2 + 4 - 3)*(4 - 2 - 1)*(-9*u**2 + 4*u**2 - u**2).\nAnswer: -2454*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4745090?\nAnswer: 2, 5, 7, 53, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-2 + 9)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8*l + 4*r = -18685, -5*r = -10. Is l a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 3) + 1*7. Suppose -1 - w = -3*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-108)\/81)\/(2\/(-843))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d + 8. Let n(a) = -2*a + 2. Let u(r) = -2*k(r) + 9*n(r). Suppose -3*l - 2*l + 5 = 0. Let g(m) = -m. Calculate l*u(y) - 3*g(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 508 * 544534.\nAnswer: 276623272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -246. What is the common denominator of ((-63)\/o)\/(1\/13) and -51\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20858 + 3*r**2 + 10426 + 10432 - 18*r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggwwwgwwgwg. What is prob of picking 3 w and 1 g?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -14. Suppose 0*b - 30 = -s*b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -24 (b) -3 (c) -25 (d) 875 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-12))\/((-2)\/(-12)). Suppose 10 = 2*h + g. Suppose h*l = 5*l - 113. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a + 8. Let f(v) = 4*v - 3. Let p(i) = 3*c(i) + 8*f(i). Let b(m) = -10*m - 2*m - 3*m. Calculate p(b(z)).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = k + 76, -5*v + 10*v - 412 = -3*k. Let g = -1563 + 1611. Let n = v - g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24432 + 81517 - 1048 = -7778*c - 146191 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11 = -3*i, -2*i + 21 = i + 3*k. Suppose 0*q - 15 = -i*q. Let u = -3277\/2 - -1637. Which is the smallest value? (a) -0.2 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301947 divided by 3?\nAnswer: 100649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19554 or -0.1?\nAnswer: -0.19554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84130217 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7619358, 15238709, 22858052, 30477387?\nAnswer: 38096714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.666424ms in hours?\nAnswer: 0.00000240734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = c - 185 + 165, -4*c + 3*c + 749 = -83*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*v - 5, -4*v - v - 35 = -n. Let g be -2 - (3\/((-6)\/n) - -1). Solve 3*r + g*r - 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + -271?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/8 + 10\/(-4). Let d be -19 + 13 - (-10)\/2. What is the units digit of ((-451)\/(-11))\/(d - x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = -4. Which is the nearest to 1? (a) -1 (b) n (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 128880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 + 7*s**3 + 11*s**3 + 10733*s - 10733*s.\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**3*w**3 - 371*t**3*w + 8*t**2*w**3 wrt w?\nAnswer: 24*t**3*w + 48*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 31. Let h(p) = -p + 9. Let q(n) = -7*h(n) - 2*w(n). Let a(u) = -150*u + 125. Give a(y) + 125*q(y).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.749 + -1.749. Let z = 5 - 3. What is the closest to -5 in 4, z, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -941 divided by -941?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(4\/5))\/o*((o*o**(-6))\/o)\/o*(o\/((o\/((o**(-2)\/o*o)\/o))\/o))**(1\/32))**(-3\/26) assuming o is positive.\nAnswer: o**(1647\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-4)\/40). Let n = 2 - 2. Solve -x*l + l + n*l + 5*l + l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 0*z + 2*z)*(-3 - 1 + 6)*(-2*z + z + 0*z + 0 + 0 + z + (-3*z + 0*z + z)*(2 - 2 - 2)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 9507680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34361882486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 10*k + 20. Give j(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -542 * 4.\nAnswer: -2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576.3167 decades to years.\nAnswer: 5763.167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 4 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1276505*x**2 + 145950*x - 3.\nAnswer: -2553010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 129*y - 8. Let s(v) = -5*v**2 + 128*v + 12. Calculate 3*i(n) + 2*s(n).\nAnswer: -n**2 - 131*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 0 (c) 3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4\/7)\/v)\/v)\/(v\/(v*v**(1\/3))))\/(((v**(1\/10)\/v)\/v)\/v**(6\/5)) assuming v is positive.\nAnswer: v**(181\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94486 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 4*j**3 + 3*j**3)*(0 + 2*j + 0 + (0 - 4 + 2)*(0*j + 0*j - 2*j) + 0*j + j + j).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 440, 880, 1316, 1748, 2176, 2600?\n\"Answer: -2*n**2 + 446*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13343 + -9005. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*3\/(-4)*2. Let a(j) = 2*j + 6. Let b be a(x). Is 3\/4 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szwwzzww. What is prob of picking 2 w and 1 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -8, -4, 0?\n\"Answer: 4*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190680901 or -190680900?\nAnswer: -190680901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39922 divided by 80.\nAnswer: 19961\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 160188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -803 or -801?\nAnswer: -801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n\/n**(2\/7))\/n)**50\/((n*n**(2\/9)*n*n)\/n**(-16)) assuming n is positive.\nAnswer: n**(4189\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20377601*s + 436465277?\nAnswer: 20377601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -24*4\/((-80)\/55)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1539) + -2)*-5 + (sqrt(1539) + -1)*-3 - (sqrt(1539) + ((-1 + sqrt(1539))*-2)**2 - (sqrt(1539) + -3*sqrt(1539)*-2))))*3.\nAnswer: -18453 + 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1060533 and 80514?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17820?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**22*v*v))\/v*(v*v**(17\/5))\/v)\/(v\/v**35)**(4\/5) assuming v is positive.\nAnswer: v**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -167*u. Let b(f) = -f**2 + 5*f. Let o(x) = -4*x**2 + 10*x. Let a(z) = 2*b(z) - o(z). Determine a(r(n)).\nAnswer: 55778*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = -1. Let y be b*(456\/(-90) - (-4)\/10). What is the highest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -33.5. Let x = -0.27 + -0.03. Let s = 0.2 + x. Which is the nearest to s? (a) 4\/9 (b) 3\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 13\/10*k**5 + 0*k**3 + 0 + 0*k**2 + 3*k**4 + 11*k. What is the third derivative of y(b) wrt b?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13414*p = -13460*p + 3450 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)*o\/(o\/(((o\/(o*((o**(-7)*o)\/o*o*o)\/o))\/o)\/o*o)))\/(o*o**(-11\/5)*o)**(17\/4))**(-2\/61) assuming o is positive.\nAnswer: o**(-77\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/13)*t)**(-11\/2)\/((t*t**(-2\/5)*t)\/t*t\/(((t\/t**(-2))\/t)\/t)) assuming t is positive.\nAnswer: t**(-809\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0139315 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + 3 + -10 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -21222?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138176, -276351, -414526, -552701, -690876?\nAnswer: -829051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -56, -105, -174, -263, -372, -501?\n\"Answer: -10*d**2 + d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 93 = -2*o, 3*y = -4*o + y + 198. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2429 - -2431. Let l(i) be the second derivative of 0*i**3 + 5\/12*i**4 + 0*i**h - 7*i + 0 + 1\/2*i**5. Find the third derivative of l(s) wrt s.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-10) - 8\/(-20). What is the third derivative of -k**5 + 57 + 2*k**j - 57 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 + 1.2. Let f = -1 + 0.6. Put f, u, -1\/4 in decreasing order.\nAnswer: u, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*j - 35 = 0, -14 = 5*s - 2*j + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**2 - 31152*f + 218260 = 0.\nAnswer: -7795, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/6 + 7\/3. Sort 1\/5, 0.3, m, -0.4 in ascending order.\nAnswer: m, -0.4, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 32. Let m(o) = -42*o. Calculate m(w(q)).\nAnswer: 84*q - 1344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 13*k - 5 = 0. What is the closest to 0.04 in 3\/4, -2, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -12 (b) -6\/7 (c) 503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23207, 19606, 16009, 12416?\n\"Answer: 2*f**2 - 3607*f + 26812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -15*p + 0*p**2 - 5\/3*p**3 + 0. Let a(l) = -4*l**2. What is s(a(j))?\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11086 and 1205?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9909929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7715 divide 1496696657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 6*v - 5. Let y be o(6). Let h = y - -5. Solve h = -3*l - 0*l + 4*g + 9, -2*g - 2 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (21 - (10 + -6)) - (2559 - 2562)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1496311 - 1496311 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3489 and 2370194.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 + 184*p\/3 + 660.\nAnswer: -4*(p - 55)*(p + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.00000017 + -68. Round d to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/16 - (-18)\/(-4). What is the nearest to -0.03 in -1, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 21*u - 50. What is the remainder when 2495 is divided by i(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 5, -1\/6, 3, 5\/2, 23 in descending order.\nAnswer: 23, 5, 3, 5\/2, -1\/6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.01, -3\/8, -41, -0.2, -66?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 43 = -a. Suppose -29 = 6*j - 101. Calculate the remainder when a is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -18*z**3 + z**2 - 2*z - 7. Let k(q) = 26*q**3 - q**2 + 3*q + 10. Calculate 7*i(y) + 5*k(y).\nAnswer: 4*y**3 + 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9.19 times 3\nAnswer: 27.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a. Let d = -3 + a. Which is greater: d or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 3566838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13273613 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {v: 2, a: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 25*w + 21. Is 19 a factor of d(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*c + 4 = 0, -5*p + 11*c - 13*c + 53 = 0. What is the smallest common multiple of 682 and p?\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 5*g**2 + 0*g**2)*(1 + 3 - 2 + (3 + 1 - 6)*(-2 - 2 + 3) - 2 - 2 + 6 + 15 - 31 - 3 + 0 + 3 - 2).\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lls when three letters picked without replacement from {s: 13, r: 2, l: 3}.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 0 + -4 + -13. Let r = b + 106. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 40*f - 61*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 19*m**3\/6 + 31*m. Let g(a) be the third derivative of a**5\/20 + 5*a**2. Calculate q(g(r)).\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 554549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13320302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3\/(-2))\/1)\/((-45)\/60). Let p(f) = -1330*f + 1330*f + f**a. Let g(y) = 2*y + 22. Determine g(p(u)).\nAnswer: 2*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 - 2*o + 6. Let w be p(5). Let n be w\/14 - 46\/(-14). Let j(v) = -v - 3. Let k be j(-5). Solve 2*x + n*x - 3*m = -4, 2*m = k*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (84\/(-15))\/2*1. Let g = 33\/10 + l. Solve -1\/4*v**3 - 1\/4*v + g*v**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -1\/7 (c) -3 (d) -0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44112?\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 28423100 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 + 444*c**3 + 3734*c**2 - 78564*c + 74385 = 0. Calculate c.\nAnswer: -435, -19, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 444, 462, 480, 498?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 259650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from smmsvvvvsvss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12782 is divided by 2129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 2*p = -468. Let n = p + 166. Calculate the highest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9741*z = 9754*z + 143 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 1358. What is the lowest common multiple of f and 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 87?\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 15. Suppose t - 3 = q. What is the lowest common multiple of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgdqdqddsddqsdqdddqf. Give prob of picking 1 f and 1 q.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 1.81776.\nAnswer: 7.81776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(0 + 4 + 13) + 5 - 4 + 1)*(j**2 - 3*j**2 + j**2).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + h)*(-12 - 10 + 5)*(-2 + 4 - 3).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 2*s**5\/35 - 34*s**3\/21 - 36*s**2\/7 - 40*s\/7 - 154. What is l in w(l) = 0?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 21. Suppose 3*q = 4*x + 12, -3*x - o = -5*q + 11. Let h(r) = -r + 234. Let g(l) = l - 389. Let p(f) = 3*g(f) + 5*h(f). Give p(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64072415 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187\/34*(-31)\/(3069\/(-189))*2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f + 4*f + 3093 - 1037 - 1039 - 1040. What is g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-5)\/(-2)) + -1. Suppose -3*f = -4*f + d. Let v be -7 + -1 + f + 2. Which is the second smallest value? (a) 2\/3 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 6:35 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107341 is divided by 184555?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -x + 962, -283 = 4*x + 2*m - 4139. Let i = -11 + 19. Suppose -i*d = -2*d - x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let z(i) = 5*i**3 + 5*i**2 + 4*i + 2. Let b = 0 - -2. Let f(k) = 2 - b - 8*k - 9*k**3 - 9*k**2 + k - 3. Determine m*f(p) + 7*z(p).\nAnswer: -p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 10*q**3 + 8*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lty when three letters picked without replacement from lolymsst?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41c + -2?\nAnswer: 41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -2*y + 5. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24279 is divided by 125.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*1*sqrt(11) - (sqrt(11) + (-1*sqrt(22))\/sqrt(2) - sqrt(11)))*3)**2.\nAnswer: -14850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.98 - 53. Let l = 3.02 + c. Let z = l - 3.0189. Round z to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 7 + (-1 - -1). Let z be u*5 - (-1 - -2). Suppose -3*h - 4 = 4*m - z, 0 = -4*m. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*q + 62414 - 61910 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71718302, 143436588, 215154874, 286873160?\nAnswer: 358591446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -11 + (4 - 1). Let r(y) = -13*y - 7. Let w(c) = -13*c - 6. Calculate l*w(u) + 6*r(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/8)*s**6*((s**(2\/13)\/s)\/s)\/s**(2\/17) assuming s is positive.\nAnswer: s**(7799\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162789142*a*v**2 + 524*a*v - 2*a - v - 1673 wrt v?\nAnswer: 325578284*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 7. Let w be j(-7). Suppose i + 0*g + 2*g = 2, 0 = -2*i + g + w. Let p = -4 + i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10888 - 1287. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385*261\nAnswer: 100485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/9)\/((-9)\/27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:38 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1210133 and -3?\nAnswer: -3630399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.96 + 3. Suppose 518*a - 100 = -1827 + 173. What is the biggest value in m, 0.4, -1, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2)*(1 - -6). Let x be (-4)\/(8\/(-6) - -2). Is (-11836)\/x - (o + (-120)\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let v be p(2). Solve -3*w + 2 = -v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 65 = -17. Suppose p = 2*l + 8, p - 5*l = -7 + r. Suppose p*g = 3*s + 22, -4*g + 8 + 22 = s. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-5*t + 2*t + 2*t)*(-t - 3 + 3)*(1 + 4 + 0) to r*t + x + s*t**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4) - (5\/2 + -1). Which is the smallest value? (a) l (b) -0.4 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose -v*d = -7*d + 45. Suppose 4*h + 0 = r + 6, h = 4*r + d. Sort h, 1\/5, 0.3 in descending order.\nAnswer: h, 0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43702, -44064, -44426?\nAnswer: -44788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*v - 4 = 2*v, -3*b + 2*v + 2 = 0. Let r(a) = a**2 + 4*a + 7. Let o be r(b). Sort -1, 0, o in descending order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 101 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1843 (base 12) to base 5\nAnswer: 43211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - x - 55139 = 0, 15*t - 11*t - 3*x - 44098 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 1308153995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) - (sqrt(176) + sqrt(11))**2)*6 - (6*(1*sqrt(11))**2 + -4).\nAnswer: -18*sqrt(11) + 4888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/20)\/(-6 + 424\/70) and -1 + (-62)\/36 + 1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(363) - sqrt(363)*-1) - (-1 + sqrt(363) + -1) - (2 + 3*sqrt(363)*3)**2.\nAnswer: -29405 - 297*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.589, -111\/8, 0.3 in descending order.\nAnswer: 0.589, 0.3, -111\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 4*l + 21, 10*c - 11*c + 4 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m**2 - 26. Let d be s(5). Is 3\/8 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 5 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 51 = 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 20, 29, 28, 11?\n\"Answer: -h**3 + 4*h**2 + 8*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -24. Suppose f*s - 10 = -3*s. Suppose 2*b - s = 12. Solve 2*o - b = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let m be o(2). Suppose m*z = -z - 15. Is 10 a factor of (-6)\/(-15) - 93\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 630777537 and 2743?\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000310235691 rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1068?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 7*a - 6. Let m be k(4). Calculate the greatest common factor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h + 25. What is w(4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -260*v**2 - 5 + 0 + 392655*v**3 - 392653*v**3 - v to the form n*v + p*v**3 + g + t*v**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 5}. What is prob of sequence xnnx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172854 is divided by 4798.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - 0.08. Let q = 4.04 - g. Let t = 4.4 - q. What is the biggest value in t, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3 - 755544*m**2 + 47570561328*m = 0?\nAnswer: 0, 125924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 - 158. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 5*x. Let r be z(-4). Let c(l) = -8*l**2 - 6*l + 21. Let v be c(-7). Let f = -341 - v. Is f <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2023, -4032, -6175, -8518, -11127, -14068, -17407?\nAnswer: -21210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 15 + 15 = 0. What is r in 3\/2*r**3 + 0*r + w + 3*r**4 + 3\/2*r**5 + 0*r**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6852, -13672, -20454, -27198, -33904, -40572, -47202?\n\"Answer: 19*q**2 - 6877*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.4 + 36.4. Let y = 37 - 149\/4. What is the closest to -1 in 2\/21, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3 - -3) + -5)\/((-11)\/(-22)). Let h(j) = -j - 1. Let d(t) = 3*t**2 - 4*t - 2. Give a*h(m) - d(m).\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 16*u**2 + 3*u - 43. Let g be v(16). Solve 3*l - 8*l - g*w + 15 = 0, -w = -3*l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 51*y - 155. Suppose y*i - 61 + 56 = 0. Solve 3*a - 2*t - i = 0, 8 = 4*a + 4*t - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35498 by -963.\nAnswer: 35498\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-114)\/(-9)*(3 + 0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -2143367?\nAnswer: -2143366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*a + 600 = 170*a. Let c be 1\/((10\/335)\/2). Let z = c + -19. What is the greatest common divisor of a and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69392002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3236245 and 465?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (61 - (55 - 5)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 2*a**2 + 0*a**2 + (2 - 2 + 2*a)*(-a + 2*a + 0*a) - 4*a**2 + 0*a**2 + a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*8 - -5. Suppose b - 2*h - 2 = i, -4*b + 5*h = -27. What is the remainder when 24 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44386, -88785, -133184, -177583?\nAnswer: -221982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -51, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.39 + 0.5502. Let d = -0.0398 - n. Which is the biggest value? (a) 11 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 84499888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1229 and 8.\nAnswer: 9832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 42857?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110729 and -0.023?\nAnswer: 2546.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 2*o**2 + 19*o**3 + 6*o**3.\nAnswer: 25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -11. Let l = z + 0. Let t = l + 0. Which is the nearest to 0? (a) -0.2 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 932, 1522, 2112?\nAnswer: 2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1596 or -1597?\nAnswer: -1596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 32*a**3\/7 + 36*a**2 + 36*a - 648\/7 = 0?\nAnswer: -6, -3, 9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 73.79. Let g = 79160.790114 + -79162. Let z = g + q. Round z to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47180 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/2707711783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 458 - -381. List the prime factors of p.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 27\/3)\/2. Suppose -1 = -d - 2, -15 = -2*t - d. Let w = t - f. Solve 2*o - 2*s + 1 = -w, 0 = 3*o - s - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 797639 and 482.\nAnswer: 384461998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259780 + 259759 = -21*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**2 + 4*g - 4. Let w(f) = 7*f**2 - 3*f + 3. Suppose 324 = -8*d - 236. Let z = d + 74. What is z*w(p) + 3*l(p)?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 6. Let s(f) = -2*f + 7. What is -2*r(o) - 3*s(o)?\nAnswer: 2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 515698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15369 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/((((v\/(v*v*v**(2\/25)\/v))\/v)\/v)\/v))\/v)\/v**(2\/15))\/(v**(-2\/17)*v**(-7)*v) assuming v is positive.\nAnswer: v**(14107\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5464, -5456, -5444, -5428, -5408, -5384?\n\"Answer: 2*s**2 + 2*s - 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5286 and 1993539?\nAnswer: 3512615718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11464 is divided by 4234.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*p + c, -12 = -p + 3*c - 6. Let a(u) = u**3 + 4*u**2 - 14*u - 5. What is a(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 388, 361, 338, 319, 304, 293?\n\"Answer: 2*t**2 - 33*t + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2300*h + 28. Let p be i(3). Suppose 16*k = 8*k + p. What are the prime factors of k?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + r + 20124 = 0. List the prime factors of r\/10 - (-3)\/(15\/2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 40. Suppose 5*o = -o + n. Solve 2*v + 0 - o = 0, -q + 2*v + 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0890135 and 0.011?\nAnswer: 0.0780135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -198, -298, -398?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*p = u + 6, -12 = -4*u - 5*p. Suppose 0 = u*n - 2*n - 4. Suppose 22 = -3*z + d - n, d = 4*z + 36. Which is smaller: z or -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19643489, -19643484, -19643477, -19643468?\nAnswer: -19643457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.43 - -142.57. Let g = n - 148. Let t = -453\/7 - -65. What is the nearest to -3\/5 in 0.2, g, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 70*z**2 - 67*z**2 + 3 - 23.\nAnswer: 3*z**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 2 z when four letters picked without replacement from izjfzfffzfffifffz.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m**3 + m)*(-2 + 3 + 0) + 4*m**3 - 3*m**3 + 9*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 15*m + 82. Determine f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000010001101 + 111110?\nAnswer: 11100000011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/71604*-54)\/((-8)\/3 + 2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1869 - -151. What is h rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6787 + 143*z + 6785 - 389*z to the form p*z + o and give p.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 366. Let r = 119 - t. Let f = -36 - r. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2)*((-10)\/4)\/5. Suppose 2 = 2*f + 4*k, -4*k + 2 = -3*f + 5. Sort h, f, -4 in ascending order.\nAnswer: -4, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*q**3 + 38*q**3 - 75*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -398853, -1595675, -3590379, -6382965, -9973433, -14361783?\n\"Answer: -398941*p**2 + p + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1144, 1145, 1146, 1147?\n\"Answer: b + 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d. Let f be (2 + d)\/(8\/156). Let o = 19 - f. Are o and -20 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/1331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-66) - 1\/11.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-11)*(-968)\/88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.021 - -0.021. Which is the biggest value? (a) y (b) 0.4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 0.2\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/4)\/(89\/356). Which is the nearest to -14? (a) 0.3 (b) 2 (c) -2\/11 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**2 + 19*o - 69. Calculate the remainder when u(6) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 11*l**5\/5 - 53*l**4\/4 + 23*l**3\/3 + 105*l**2\/2 + 18*l + 71. Let b(x) = 0. What is x?\nAnswer: -1, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -67. Suppose 84 = -5*t - u. Calculate the common denominator of t and 13\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 2*m**2 + 2*m - 3. Let a be b(2). Suppose 5*q + 19 = -a. Let s(j) = j**3 + 4*j**2 + 3*j. Determine s(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**2 - 21*g**2 + 69*g**2 + 26*g**3 - 20*g**2 - 15*g**2.\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 405481 + -3?\nAnswer: 405478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -254. Let r = 196 - x. Solve -2*a + r*a + 3*p = 12, -5*p + 15 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -198, -303, -410, -519, -630?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 911781214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2564 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*r - 94 = 0, 4*k - r - 79 = k. Suppose 3*t - 18 = -2*g - 0*t, -3*g + k = 4*t. What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j**4 + 1543*j**3 - 52260*j**2 - 110772*j = 0. What is j?\nAnswer: -2, 0, 543\/10, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i - 112 = 0. Let q = i + 1010\/9. Let p be 4\/(-35) + 4\/(-14). Put p, q, 1 in descending order.\nAnswer: 1, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -434 + c?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 4*y = -830, -4*y = -3*v + 498. Let h = 174 - v. Let z(o) = o**2 - 8*o - 7. Determine z(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1368*q**2 - 1368*q**2 + 16*q**3)*(3*q - 5*q + q)*(0 + 2 + 0) to c*q + v*q**4 + t*q**3 + x + s*q**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*c + 2*c. Suppose 4*k + 45 = c*k. Suppose 0 = -x - 4*x + k. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 16 = 2*p + 8, -p = -o - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*38\/(-836)*(-30)\/(-2)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -63\/68 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.546 - 222.546. Let q = z - -220. Let f = 4 - 3.8. What is the second biggest value in q, -4, 3\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3 + 2374*j**2 + 584775*j = 0.\nAnswer: -225, 0, 2599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5 - 22. Let n = r + 8.5. Let f = 1\/23 + 16\/161. What is the closest to -2\/11 in -1, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36398336.\nAnswer: 2, 13, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713*t + 698*t + 79761 = 177*t - 1183*t for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(d**3 + d**3 - 5*d**3) + 4*d**3 - 7*d**3 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0, -3\/2 in increasing order.\nAnswer: -3\/2, -3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*b - 163*b - 159*b - 5*b**2.\nAnswer: -5*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2245337 - -2245374.00066. Let q = -37.046 + 0.046. Let v = g + q. Round v to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101101301 - -3?\nAnswer: -101101232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10008160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5*x**(2\/11)*x*x*((x*x**(-2\/5))\/x*x)\/x**(-6) assuming x is positive.\nAnswer: x**(758\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 + -555. Let k = 223 + o. Let g(i) = -1 - 2*i + 3 - 2*i**2 + 0. Determine g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/9, 24, 8\/7 in ascending order.\nAnswer: -2\/9, 0, 8\/7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p = -339 + 1131 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -36*x - x + 1951653. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**3 - u**2. What is h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 245587.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2448)*-2)**2 + sqrt(2448) - (sqrt(2448) + (0 + sqrt(2448))*3).\nAnswer: -36*sqrt(17) + 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2 + 1038780*m + 717953544 = 0. What is m?\nAnswer: -259002, -693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 41978*u - 41978*u + 8*u**2 in the form g*u + w + l*u**2 and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 4. Let p be w(0). Suppose -1224 + 1443 + 2790 = -59*c. Sort 1, c, p in increasing order.\nAnswer: c, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**5\/10 - 5*a**4\/8 - 3*a**3\/2 - 7*a**2\/4 - a - 1. Suppose h(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 2*t**2 + 1. Suppose 0 = -2*c + 2 - 0. Let m be r(c). Suppose 0 = 5*n - m*n - 25. Solve -5*l = -0*i + 2*i + n, 5*l = 3*i + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let v = 15.8 - 16. What is the nearest to l in v, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-234)\/(-33)*(-2)\/(-4) and ((-6)\/(-8))\/(1188\/(-5472)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 553103997 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 10) + 46 - (-13 - -29 - 15).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 + 148*b - 4413. Determine k(-48).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:51 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 16 = -5*y, 51*y + 63*y - 110*y + 16 = -4*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3079 - 3044. Solve 4*c - o = -43 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 265\/3. Let x = -3 + 5. Let a = -2 + x. What is the third smallest value in m, a, -4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026 is divided by 271.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.9 + 12.99. Let n = 0.3 + 0. Sort 5, q, n in ascending order.\nAnswer: q, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjejjjjjwewewkjk. Give prob of sequence ewk.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {w: 5, d: 3, e: 10, l: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20198388 and 462.\nAnswer: 222182268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 n when four letters picked without replacement from tvitvtsvtvnvvnnnn?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 12 = 4*i. What is the smallest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjmjjjjjjjjjjjjfjjj.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 409\/6, -5, -299, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 510 + -508. Let r be 127 - (0 + a)*-4. Calculate the greatest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*z**3 + 317*z**3 + 2 - 80*z**2 - 220*z**3)*(2*z - 3*z - 4*z).\nAnswer: 5*z**4 + 400*z**3 - 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2905 + -43.0975. Round t to zero dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(66)\/(sqrt(6) + sqrt(54)) + 3) - (1*(sqrt(77) - sqrt(77)*-2))\/(sqrt(77)\/sqrt(44)))**2.\nAnswer: -285*sqrt(11)\/2 + 7571\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 732*l. Let x(z) = -14*z**2 - 5*z + 10. Calculate x(d(k)).\nAnswer: -7501536*k**2 - 3660*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/c**(-5)))*c*(c*c\/(c**(-11\/5)*c))\/c*c)**(-9\/5))**45)**(-28) assuming c is positive.\nAnswer: c**(115668\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o - 108*o - 18228 = -356*o - 40*o for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x**10)\/x)*x)\/x**(-3\/22))\/((x**(-1)\/x)\/x)**(1\/19))**10 assuming x is positive.\nAnswer: x**(-16105\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/(j**(-1\/2)*j))\/((j\/j**(2\/5)*j*j)\/j**(-2))*j**(2\/5)\/(j*j*j**(3\/4))*j**(3\/4)*j**(2\/11) assuming j is positive.\nAnswer: j**(-1487\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1161 and 13502.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jttjtjt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.4 (b) 1\/2 (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378430, 378424, 378414, 378400, 378382, 378360, 378334?\nAnswer: 378304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 21?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 696\/20*15\/2. Let w = s + -186. Suppose -4*y = 5*a - w, 3*y - 52 - 11 = 3*a. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (399\/114)\/((-1)\/2)*2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1607 + -1597. Calculate the highest common divisor of 26170 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/16*4276\/(-3). Suppose -5*g + 0*g = 4*a - 2147, 5*g - r = -a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 39150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -164\/3, -473, 3\/2, 0.7, -3, -2\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 - 5.81. Let u = 1035 - 1034. What is the nearest to 2 in u, -0.3, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960321.\nAnswer: 3, 320107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*x - l + 20, -315756*l + 315761*l + 29 = -2*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 41*p - 4 = 0, 4*p = 54*b - 59*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -112 + ((-3)\/(-6))\/((-5)\/10). Let j = 117 + u. What is the highest common factor of j and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1789*g + 77 = 1778*g. Let s(f) = -3*f - 21. Determine s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900198 is divided by 600.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (260\/(-690))\/((-24)\/872). Let a = 124\/9 - s. Sort -1, 13, a in increasing order.\nAnswer: -1, a, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/14678 and 37.\nAnswer: 14678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91086 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**(3\/29)\/g)\/g)))\/g**(-26))\/(g**(-10)\/g*g*g**(-11\/6)) assuming g is positive.\nAnswer: g**(6253\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50134 and 490.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - z = 2*z + 6, 0 = -b - 4*z + 22. Is (-3*b)\/(2\/(-1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2535*f - 2533*f + 5*f**2 - 12*f**3 - 2*f**2 to q*f**2 + g + d*f**3 + b*f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - ((13 - 4) + -3 + 2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(175))\/(-2*sqrt(243)).\nAnswer: -sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 478 + -79?\nAnswer: 3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1692 = 2*i, -3*i = 4*r - i - 1352. Suppose -r = 12*m - 16*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 123\/508*-2. Let b = z + 2\/127. Let x be 4\/(-5) + 39\/5 + -2. What is the second smallest value in x, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vmmvvvmvlmmmvvmlnmvm.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275027249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 11:53 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*k**2*m**3 + 2*k**2*m + 12*m**4 + 1900*m**2 wrt m.\nAnswer: 870*k**2 + 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*50\/40*(-12)\/(-810)*-2?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -2 + (9 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = 3. Sort z, -1, 1 in ascending order.\nAnswer: z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*v - 663*v = -1338. Let u(w) = w + 2 - 5 + 3 + 2. Let x be u(0). Solve -v*k = -x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3126*t**6 - 2365*t**2.\nAnswer: 375120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 2)*(29 - 29 - 12*z).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128 times 2405394?\nAnswer: 307890.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 33*i**4 + 30*i**4 - i**5 + 0*i**3 + (-41 + 41 - 19*i**2)*(i**2 - i**3 - i**2) - 7*i**4 - 6*i**5 + 7*i**4.\nAnswer: 12*i**5 - 3*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*n - 25, 0*n - 10 = -2*u - 2*n. Let x be (-5)\/(-15)*-3 - -4. Solve x*f + u*f - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tvttttttttv.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -1\/2 (c) -60 (d) -1.5 (e) 1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543687.\nAnswer: 47, 54121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408800313 rounded to the nearest 1000000?\nAnswer: -1409000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7959308?\nAnswer: 2, 7, 284261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = 3*y. Let w = -1106\/369 - 155\/41. What is the common denominator of w and 3\/y*206\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365 + 368. Let n(p) be the second derivative of -7\/20*p**5 + 0*p**g - 6*p - 1\/6*p**4 + 0*p**2 + 0. What is the third derivative of n(f) wrt f?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111111 (base 2) to base 4.\nAnswer: -102333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 - y - 4. Suppose 2*v - 18 = 4*b - b, -v = 2*b + 5. Suppose 0 = g + 4 + v. Let z be i(g). Solve -z - 2 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - h. Let o = 2 + -3. Let r be c(o). Let u be 3\/r + 6\/(-3). Is 0 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*d - 29*d + 7*d)*((0*d + 0*d + 2*d**3)*(-5 + 2 + 1) + 5*d**3 - 15*d**3 - 38*d**3) as q*d + g*d**3 + j + c*d**2 + n*d**4 and give n.\nAnswer: 5512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 0*r - 7*r - r - 2*r + 5. What is the tens digit of o(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 957*p**2 - 4*p + 2. Let g(u) be the third derivative of u**4\/12 + u**3\/2 + 3*u**2. Let j be g(-1). Is f(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 10. Suppose 3*j - 3 = p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -1 - (867 - -15). Let z = j + 51860\/59. Let k = z + -111\/413. Which is the third smallest value? (a) 0.2 (b) 2\/7 (c) k (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 750\/(-452))*(-1)\/(-1) and -115\/12.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0) + -1 + -1 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -276.3 (b) -0.7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3 - 6*g**2 + 1 + 7*g**3 - g**3. Let q be w(6). Let z be 3 + -1*(q + -9). Solve 5*b - 3*x - 3 = 0, 2*x = -5*b + 4*b + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = 0, -218 = -2*p + 2*k + 18. What is the highest common factor of p and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170084 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = 24*u + 2*w, -10 = 2*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -29. Let x be ((-84)\/t + 5)\/(1\/4). Let y be ((14 + -5)\/9)\/(2\/(-4)). Sort 1, -9, x, y in decreasing order.\nAnswer: 1, x, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 50*t**2\/3 + 6848*t\/9.\nAnswer: -2*t*(t - 32)*(t + 107)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32e + -1b?\nAnswer: -34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 10 + -5 - -4) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**2 + 9*z + 13. Let a(h) be the first derivative of -2*h**3\/3 + h**2 + 3*h + 613. Determine 26*a(j) - 6*p(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 11 (c) -0.3 (d) -1 (e) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 25 = 5*j. Sort j, 0, 1 in descending order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -7 - 5. Let o = -54 + 87. Calculate the least common multiple of 5 - -3 - z - 1*3 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 123*q**2 + 57*q - 122. What is s(61)?\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9732 * 20.1\nAnswer: 195613.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccckckc. What is prob of sequence kkc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:28 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -6341 (c) 21\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + s**4 + 5*s**4 + (-s**3 + 3*s**2 - 3*s**2)*(335*s + 901*s + 15*s).\nAnswer: -1249*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-9408\nAnswer: 8467.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j. Let q(s) = -s**2 - 49*s + 52. Let h be q(-50). Let d(c) be the first derivative of -1\/2*c**h - 3 + 0*c. What is p(d(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -467 by -6.\nAnswer: 467\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 23*i**2 - 40*i + 45. Let y be r(-21). Suppose -y*m = 9*m - 144. Solve -2*t - m = -2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpt when three letters picked without replacement from tgymp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21744 and 1555056?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let y(q) be the second derivative of 17*q**6\/360 - 11*q**3\/6 + 2*q**2 + 26*q. Let i(o) be the second derivative of y(o). Calculate h(i(t)).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91988248*d*l**4 + 11*d*l**2 - d*l + 10825*d + 2 wrt l?\nAnswer: 2207717952*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 516*k\/11 - 12064\/11.\nAnswer: -2*(k + 26)*(k + 232)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 838 in -1\/9, 1, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, w: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1953*j + 16271 + 71614 = 0 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5 - 1. What is the highest common factor of 8 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 911497685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2346 + 2364. Do u and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 75 = 0. Calculate the lowest common multiple of 10 and (-2 - -3) + b\/5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983744038 to the power of 1\/2, to the nearest integer?\nAnswer: 44539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/17, -2\/29, -4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + a - 6 = 0, 2*a = -6*h + h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.4 + -4. What is the closest to 1\/2 in -0.1, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)*t*t\/t**4*t*t**(-3\/7)*t**(-6)*(t*t\/(t*t\/(t*(t*t\/(t\/(t*t*t\/(t**(-2\/5)\/t))))\/t)*t))\/(t\/(t*t**(-5)))*(t\/(t*t**(1\/4)*t))**16 assuming t is positive.\nAnswer: t**(-1121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/24349?\nAnswer: -1\/24349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6009934 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - -422412?\nAnswer: 422241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 14) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*o*w**2 + 6*g**2*w**2 + 4*g**2*w + 3*g**2 - 2*g*o*w - 2*o*w**2 with respect to o.\nAnswer: 2*g**2*w**2 - 2*g*w - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1065270 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5684985 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2246949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (18 + (-32 - -3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2. Let v(w) be the first derivative of 0*w**2 + 1\/3*w**3 + 4 + 0*w. Give v(c(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 4*l**2 + 31. Let d be x(5). Suppose 7168 = s + d*s. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1266931 rounded to 3 decimal places?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579 and 371571899?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 0. Suppose 2*c = -3*g + 40, -2*g - c = -4*c - 5. Calculate the least common multiple of g and h + 1 + 9 + 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46023771 to the nearest integer?\nAnswer: 6784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68b0a - -1?\nAnswer: 68b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 + 3) - (29 + -16 + -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 11*q**2 - 37*q - 69. Determine v(-10).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.109668857 to 4 decimal places.\nAnswer: -0.1097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*1 - 156\/(-132)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-4) - (-1)\/2. Let m(f) be the second derivative of 1\/6*f**4 + 0 + 5*f - 1\/3*f**3 - 3\/2*f**2. Determine m(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0172187742 rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u + 317*u + 13347 = 54279 for u.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4 - 5*g**3 + 25*g**2 - 15*g = 0. Calculate g.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2. Let y(w) = 2*w**2 - 167712778*w. Give y(t(d)).\nAnswer: 50*d**4 + 838563890*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -3*i + 74. Suppose -61*x = -i*x - 154. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2417 + 2410. Let l = -2 - 1. Let j = -1 + l. What is the smallest value in 5, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1283, 1281, 1279, 1277, 1275?\n\"Answer: -2*h + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 3*l - 7, -4*l = q - 17. Put q, 13, 5, -3 in decreasing order.\nAnswer: 13, 5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83963 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 p(u) = -17*u. Let m(v) = -714*v. Determine -2*m(o) + 85*p(o).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.07? (a) 5 (b) -5 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004687486 to 7 decimal places.\nAnswer: -0.0004687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2. Suppose 4*w = v - 2, 0*w - 5*v = -4*w - 10. Let n(x) = x + x - x + w*x. Calculate b(n(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1 - 10 - -3. Is 4 + (-8 - a) + 1068 - -2 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*i - 4558 + 4194 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 14. Let q = 11 - v. Suppose 16 = 7*x - q*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 170 = 280. Let j = -20 - q. Suppose -4*h - y + 121 = h, -2*y - j = -3*h. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18 + (0 - -2)\/(-2 - 0). Let h(c) = c + 24. Determine h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 17*n**2 + n + 5. Let v(f) = f. Let a(s) = -d(s) + v(s). Let k(j) = -6*j**2 - 2. What is -4*a(i) + 11*k(i)?\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19039 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: Evaluate -6 + -33 + 13 + 35 + 20.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13101, -2, 0.4.\nAnswer: -13101, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138.57 + 351.42. Let w = c - -2.01. Is 1\/4 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27931.7852 + -1.2148. Let s = p + 27931.6087. Let o = s - -1.4. What is o rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -20, -5, 30, 91, 184, 315, 490?\n\"Answer: k**3 + k**2 - 9*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18896 or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1076407 divided by -3439\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 8*g**2 + 1. Let h(x) = x**2 - 1. Let p(y) = 3*h(y) - s(y). Determine p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6800943.6 minutes to days.\nAnswer: 4722.8775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -3662, 14, -3\/2 in decreasing order.\nAnswer: 14, -3\/2, -67, -3662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*d = -2*p - 12, 3*p + 19 = -5*d. Solve -a - p = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.58 - -0.68. Let n = 0.7 + -4.7. Let o = n - f. Which is the nearest to -2? (a) 0 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 4. Let j be m(6). Let x be -5 + 7 + (-5 - -1). Let l = -5 + 6. Put j, x, l in descending order.\nAnswer: j, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -2*y**6\/15 + 13*y**4\/6 - 79*y**2\/2 + 9*y - 6. Differentiate w(u) wrt u.\nAnswer: -16*u**3 + 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*f + 5*c, 0*f = -f - 2*c - 4. Let n(s) = 3*s**2 - 4*s + 4. Let g be n(f). Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*i + 7 = -4, -i = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*o - 2*g, -4525*o = -4530*o + 4*g - 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 - 3*h**2 - 2*h - 5. Let t(s) = s**3 - s**2 - 1. Give a(v) - 4*t(v).\nAnswer: 2*v**3 + v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/20 + n**4\/2 + 421*n**3\/3 + 111*n**2. Differentiate z(j) with respect to j.\nAnswer: 6*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 676 - 3562. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 88 = 14*h - 4*i, h + 90 = 5*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8998, 0.1, -0.2.\nAnswer: -0.2, 0.1, 8998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2860)\/(-11))\/(11695\/(-4678)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Let r = 2.6 - j. Suppose 3*s + 0 = -9. Which is the closest to 3? (a) r (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*h - 9*h. Find the second derivative of h*i**3 + 460*i - 399*i + 0*i**3 + 51*i**4 wrt i.\nAnswer: 612*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707525 divided by 2177.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -110*j**3 + 2*j + 1. Let g be s(-1). Suppose -m + 52 = -g. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 6) to base 11.\nAnswer: 18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 54*g**2 - 36*g + 36. Let u(j) = j**2 - j + 1. Calculate -i(d) + 36*u(d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 795109589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*((1*sqrt(1088))**2 + (-2 + sqrt(17)*-3)**2).\nAnswer: -24900 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:33 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409\/7 + 2\/(-7) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 1\/7 (c) -5 (d) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102087 is divided by 634.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106645 - -22316?\nAnswer: -54326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750*k - 167260 = 733*k + 463695. List the prime factors of k.\nAnswer: 5, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*w - 22375 = 0, 160*p - 5*w - 27975 = 155*p. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3640641161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/1375 and -193\/393750.\nAnswer: 4331250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 1 = -l + 2*l, -1 = -h - l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0)\/(1\/(-11)). Let x = w + 42. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4 + 2*d**3 - 1856*d**2 + 1850*d**2 - 11*d - 3*d**3. Let a be u(-2). Put -3, a, -1, -2 in increasing order.\nAnswer: -3, -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*0.51\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 16. Let v be g(-11). Let k = 32 - 39. Is v bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.4. Let x = g + -2.7. Let y = -12238.5 + 12239. Which is the smallest value? (a) 5 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(117)\/sqrt(9)*5 + sqrt(13))*5 - (sqrt(156) - (sqrt(156) - (sqrt(156)*2*-1 + sqrt(156))))\/((sqrt(432)*-1 - sqrt(432)) + sqrt(432))).\nAnswer: -5405*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**4*q**(-1\/5)*q**(-3)\/(q*q**(4\/7)))**(16\/5) assuming q is positive.\nAnswer: q**(128\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591265182?\nAnswer: 2, 3, 41, 2403517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 443.04001?\nAnswer: 443.04001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -95124698.72 to the nearest one hundred thousand.\nAnswer: -95100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiddiidd. Give prob of picking 3 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 3600576 = 168*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/168 - 17*i**6\/480 + i**5\/40 + 13*i**2 - 16*i. Let l(h) = 0. What is h?\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.77 + 0.23. Let k = x + -15.999999. Round k to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -494*w - 445. What is the units digit of k(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.1869518*0.2.\nAnswer: -10.43739036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 + 69 = 38*n - 234*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*s - 27 = -6*q, -3*s + 6 = 5*q. Solve 15 = q*u + 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(4) - sqrt(64)) - (sqrt(48) - (sqrt(432)\/sqrt(9) - sqrt(48)))\/sqrt(2))\/((-1*sqrt(108)*1)\/sqrt(9)*3).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 0 - 4)*(3*w**2 - 2 + 0 - w**2) in the form k*w + p + h*w**2 and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, o: 4}. Give prob of sequence oo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4061 divided by 9666?\nAnswer: 4061\/9666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3ad98e (base 16) to base 15\nAnswer: -512b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 24*y**2 + 108*y + 49. Determine p(-28).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*(z*z**(6\/5))\/z*z)\/z*z*z))**4 assuming z is positive.\nAnswer: z**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 400, 4, -43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11327, 16425, 21535, 26663, 31815?\n\"Answer: k**3 + 5091*k + 6235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = y, -4*h + 4*y + 2 = 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 7*c**2 - 5*c - 15. Let d be m(-7). Let k be 108\/16 + 5\/d. Differentiate -8*v**2 + 5 + k + 13*v**2 + 6*v**2 with respect to v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 x when four letters picked without replacement from xpxxtppp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/21 or 9517\/1235?\nAnswer: 9517\/1235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(84)\/sqrt(3).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 19. Let i be 4\/(-1 - v\/(-30)). Suppose -2*h - i = -3*h. Calculate the highest common factor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32133515*u**2*z**2 + 4*u*z**2 - 63425*u*z wrt u.\nAnswer: 64267030*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - 138d9?\nAnswer: -138c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 2034?\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:34 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eggeeeeegegeeeeeee. Give prob of picking 1 e and 2 g.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 22 - 18. Is z at most 2\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + o + 3)*(4*o + 11*o**2 - 4*o) - 5*o**3 - o**3 + 2*o**3 + (0 - 2 + 3)*(-o**3 - 2*o**3 + o**3) - 2*o**3 + o**3 + 5*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 4*t + t**2 - 5\/6*t**3 - 7\/12*t**4 + 0. Factor g(a).\nAnswer: -(a + 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*n - 5289, 165*n = -3*q + 170*n + 15867. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1796 in -3, -67, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -8551.\nAnswer: -5\/8551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*x = 269*x - 128*x - 314260. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 1, x: 1, v: 1, u: 2, z: 1}. Give prob of sequence uuvy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -301\/2*v**2 + 131*v - 67\/6*v**3 + 0. What is the derivative of g(d) wrt d?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38253 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1157\/(-390) - (-6)\/20) + 6\/1\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*2 + -3)*4)**2.\nAnswer: -1536*sqrt(2) + 8336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*y - 31 = -2*d, 10 = -2*d - 4*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104954?\nAnswer: 2, 97, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 4*s**2 - 6*s**2)*(3 - 5 + 1).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 575? (a) 11 (b) -0.06 (c) 0.3 (d) -0.9 (e) 3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - s + 10, 5*g = 5*s - 4*s + 6. Suppose -3*q + 5*x - 30 = 2*q, -13 = g*q - 3*x. Let h(k) = -14*k + 13. What is the tens digit of h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4661 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {q: 7, v: 4, l: 3, x: 1, t: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-195)\/18 + 2 + (-3 - -6). Which is smaller: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**6\/90 - i**5\/4 + i**4\/2 + 16*i**3\/9 + 2664*i + 2. Find k, given that q(k) = 0.\nAnswer: -16, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -30. Suppose -c - 4 = -4*u, -4*u + 0*c + 2*c = o. What is the third derivative of -963*a**3 + 963*a**3 - 12*a**u - 14*a**5 wrt a?\nAnswer: -840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.627 and 470736?\nAnswer: 470737.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114416.\nAnswer: 2, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 9. Let i be m(16). Let c = i + 14. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*l = 16, 2*x = -3*x - 4*l - 16. Let t be 5\/(x - -5) - (-2 + 27). Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 27*m**4\/4 - m**3\/6 + 19*m**2\/2 + 120*m. What is the second derivative of r(a) wrt a?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 13*y**2 - 13*y + 9. Give g(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10988396 divided by 404\nAnswer: -27199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 162.2133cm?\nAnswer: 1622133000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 36 = -2*x. Suppose -x + 0 = -3*v. Suppose v*y - 50 = 2*y. Solve 0 = -4*u - u - y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3378.947mm in kilometers?\nAnswer: 0.003378947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s, 3*g - 8*s - 20 = -7*s. Calculate the remainder when (-753)\/12*8\/g*-3 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -303*l**2*u*y**2 + 2*l**2*u*y - 179*l**2*y + y**2 - 2*y wrt u.\nAnswer: -303*l**2*y**2 + 2*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -135 times -2\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*u**2 - 2 - 3*u**3 - u**4 + u**3 - 71*u**2 to t*u**2 + w*u + f*u**4 + c + m*u**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m + 14*m + 2048 + 4806 = 126*m for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80160 and 8557080?\nAnswer: 34228320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57563 + 57563 - 108*y)*(-3 + 3 + 2 + (0 + 5 - 1)*(8 - 2 + 0)) as k*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4571 divided by 7.\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.6 - 33. Let d = o + 84. What is the nearest to 2 in 1, d, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 32?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5120\/1063 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + -133.5. What is the nearest to -2 in d, 1\/4, 5\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from ffqfkfkkrkkfkk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b4cb - dc?\nAnswer: b3de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-42)*(-2)\/(-8). Which is the closest to 1? (a) i (b) -5\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134743045?\nAnswer: 5, 26948609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117006869 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbbb when four letters picked without replacement from bbffbbb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + p + 87, -3*z + 0*p = 4*p - 114. Suppose -43*v + z*v = 895. Round v to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9379?\nAnswer: 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255219751 to the power of 1\/2, to the nearest integer?\nAnswer: 15976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612 divided by 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.37 + 0.3. Let c = z - -0.07. Let v = -5.3 - -1.3. Put v, 1, c in descending order.\nAnswer: 1, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.98 + -3. Let c = -1.98 + i. Let j be (6 + -5)\/(2\/8). What is the second biggest value in c, j, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -93, 1\/7, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 17*x - 434. Give u(-15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2136)\/(-16) - -1)*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -235 - -2117\/9. Suppose 3*y = 6*y + 3. Is y at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452657079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and ((6\/(-15))\/(28\/28) + -6)*-75.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -272280*c - 272292. Give d(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4498 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5394 (base 14) to base 12.\nAnswer: 8432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 - 3*i**2 + 3*i**2 + (2 + 1 - 5)*(2*i**4 + 6*i**4 - 18*i**4) to g*i**2 + l*i**3 + p + u*i**4 + z*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 15*g**2 + 5*g + 1. Let c be u(-15). Let x = c + 103. Solve -5*m - x = -3*m - 5*q, -3*m - 11 = -q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47055100 rounded to the nearest 100000?\nAnswer: -47100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/3822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5654246 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, 0.1, 5, -71 in descending order.\nAnswer: 5, 0.2, 0.1, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19247.\nAnswer: 19, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 57, 60, 63?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5 + (-3 + 5 + 0)*(-2 + 1 + 3))*(2*u + 6*u - 3*u).\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {u: 9, z: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 2651\/6?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520) + sqrt(520)*-1)\/sqrt(10) + (sqrt(624) - (sqrt(624) + (-2*sqrt(624) - sqrt(624))))\/sqrt(12).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uugg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 6*y - 3*y**4 + 2*y**4 - 3*y - 2*y**3 + 0*y to the form n*y + j + p*y**2 + h*y**3 + t*y**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 10*u + 15. Let s be i(8). Let r be -2 + 0\/3 - (s - 1). Which is bigger: r or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 38*h**3\/3 - 140. Let d(y) = -9*y**2 + 4*y. Let a(z) = z. Let m(x) = 4*a(x) - d(x). Determine m(g(v)).\nAnswer: 12996*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56 or -308936?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -620*u - 173. Is l(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512453093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q*q**0))*q*q)\/(q*q**(1\/7)*q*q))**(-43) assuming q is positive.\nAnswer: q**(-258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3\/2 - 56*n. Let t(x) = -x**2 + x**2 - 3*x**2. Calculate t(l(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3191657 or -47874866\/15?\nAnswer: -47874866\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 + 5*r - 4. Let g be k(4). Let n = 3138 + -3136. Suppose v + 3*j - 64 = g, n*v + 5*j + 0*j = 123. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132 and -386250.\nAnswer: -50985000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 20*g + 20. Let m = 30654 + -30656. Give r(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17 + -11 - 1) + 34\/(-6). Which is the closest to w? (a) -0.4 (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1. Let z(n) be the third derivative of n**4\/12 - 7*n**3\/6 + 258*n**2. Determine -6*d(y) + z(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -23. Let d(f) = -f**2 + 5*f + 3. Let k be d(3). Suppose -w*i = -k*i + 198. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*q - 6, 0*b - 13 = -q - 3*b. Let g(c) = c**3 - 2*c**2 + c. Let h be g(q). Find a, given that h*a + 1\/4 - 1\/4*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 18, -2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a week in minutes?\nAnswer: 10920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 4*f**2 + 3. Let t(a) = -4*a**3 - 8*a**2 - 5. Suppose 0*y + 3*y - 9 = 4*o, 3*o - 4*y + 5 = 0. Let l(j) = o*t(j) - 5*c(j). Factor l(m).\nAnswer: 2*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2875456308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1923741 and 666?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 1. Let n be o(-2). Suppose -3*t + 1 = -20. Let v(f) = t*f + 1 - 4*f - f + 7*f**2. Calculate v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2220\/(-36))\/((-965)\/579)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + 32. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10652339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 8*w**2 - 7*w**2 - 124 + 124.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1399 by -1.\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151\/15057 + -1\/126. Let z = 935\/10038 + r. Let j = 0 + 4. Which is the nearest to 0.1? (a) z (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25\/9 + 6889\/2412. Find the common denominator of 51\/14 and a.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -11. Let d be (4 - 9\/3)*t. Let x be 2 - (-1)\/d*0. Solve -3*j - x = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118012105 to the nearest integer?\nAnswer: 10863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 316 = -254. Suppose 4*u - 5*j - 73 = -0*j, -3*j - b = -3*u. Is 19 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**5 + 10*b**4 - 1995*b**3 - 18940*b**2 - 29900*b = 0. Calculate b.\nAnswer: -13, -10, -2, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from {x: 11, w: 5}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 + (4 - 4) - (10 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwfj when four letters picked without replacement from {j: 1, f: 1, w: 2, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -38, -1\/3 in ascending order.\nAnswer: -38, -16, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 170 + -39?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)*(k**(1\/9)\/k)\/k*k)**(-3))**(3\/4) assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -134\/1905 (b) -0.28 (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -46. Let b = p - -96. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*i**2*u**2 + i*u**2 - 402*i*w + 2*u**2*w - 29573*u + 3*w wrt i?\nAnswer: -20*i*u**2 + u**2 - 402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 760 and 416?\nAnswer: 39520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:17 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**3 - 53*r**2 - 8*r. Let i(w) = -22*w**3 + 107*w**2 + 17*w. Give -4*i(a) - 9*q(a).\nAnswer: -2*a**3 + 49*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 6*t**5\/5 + 35*t**4\/4 + 18*t**3 + 27*t**2\/2 + 2488*t. What is c in y(c) = 0?\nAnswer: -3, -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, -13 in ascending order.\nAnswer: -13, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 78. Let x = -16 + 24. What is the units digit of q\/2 - 12\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v + 3 - 3.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 times 0.031251?\nAnswer: -0.00718773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - -2 - (9 - 12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-23*1716\/16445)\/((-42)\/10)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f - 8 = 0. Suppose 5*m - 37 = -f*s + 10, 0 = 4*m + 2*s - 40. Suppose -m = -5*h + 9. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13211253?\nAnswer: 3, 11, 133447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 3. Suppose 3*i + 4*c + 6 = 0, 2*i + 21 = 5*i - 5*c. Let m(t) = 0 + 3 + i + t. Suppose -j = 2*j + 9. Give j*m(l) + 5*d(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16)\/(342\/(-1026)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2156 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -66068662 divided by -2299?\nAnswer: 28738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588458, 588450, 588442?\nAnswer: 588434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 + 5*q**3 - 5*q**3 + (-2 + 1 + 3)*(2*q**2 - 2*q**2 - q**3) + (-2*q + 4*q - 3*q)*(-526663*q**2 + 526664*q**2 - 2*q + q - 2139).\nAnswer: -2*q**3 + q**2 + 2139*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2394384*q**2 + 1417*q - 3074 wrt q.\nAnswer: -4788768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 37*l - 34*l. What is the third derivative of -231*b**2 + 117*b**2 + 119*b**2 + 0*b**l - b**5 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111110110011 (base 2) in base 6?\nAnswer: 203255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1 + 2. Let t be -7 + 2 + (6 - (43 + 0)). Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 14, b: 1, j: 1}. What is prob of picking 3 r and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.8 (c) 7 (d) -1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3054 divide 328262244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - -2777?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 - 19*u**4\/2 - 42*u**3.\nAnswer: u**3*(u - 42)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*x**3 - 439*x + 439*x + (6*x**2 + x**2 - 4*x**2)*(2*x + 3*x - 3*x) to the form f + z*x**2 + y*x + v*x**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 916 and 2306667994.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 66 = -q, v = -0*v + q - 27. Let k = v - -36. Let c(y) = -15 - k*y**2 + 43 - 22 + 14*y**2. Let l(o) = o**2 + 1. What is -c(p) + 6*l(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4277651 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -3 + 2)\/(-1). Suppose -t - 6 = -r. Let c = r - -2. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10365 is divided by 1437.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*u**2 + 15*u**2 + 2*u + 7 + u**4 + 19*u**2 to the form g*u + c + l*u**3 + d*u**2 + z*u**4 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*a - 2258, -3*n + 1356 = 325*a - 328*a. What is the remainder when n is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - sqrt(135)*2) + sqrt(135) + sqrt(15) + sqrt(15))\/sqrt(3)*1.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a - 64. Let n be b(-8). Solve n = 5*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(3 + 1 - 5) + 1 + 1 - 1)*(-6*o**2 - 1 + 1).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 3}. Give prob of sequence vp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 869025 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(1*sqrt(85) + sqrt(85)) + (sqrt(85)*3 - sqrt(85))*-4 + sqrt(85))\/(1*sqrt(245)*-6*3).\nAnswer: -85*sqrt(17)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 116*a**3 + a**2 + 7*a - 8. Calculate the remainder when i(1) is divided by 53.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.8 - -12. Let o = l + -173.2. Let r = 152.6 + o. What is r rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(-5\/3))\/((k*k**(-6))\/k)*(k**(-2))**(-45) assuming k is positive.\nAnswer: k**(292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12597 is divided by 524?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1063 and 2137.4.\nAnswer: 1074.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.5, 4, -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1024)\/(-10) + 18\/(-45). What is the highest common factor of 34 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*v. Let a be (1\/5)\/(5\/15). Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389039851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335.6434g to kilograms.\nAnswer: 0.3356434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-4)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) 1\/3 (c) 944285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*g**2 - 25*g + 25*g - 23*g**2.\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-740)\/(-25) - 4\/(-20)*2. Suppose v + 24 = 18*d. Solve 10 = d*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7. Let v be 71 - (16\/4 - 0). Let t be ((-16)\/(-24))\/(v\/(-3)). Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p*p\/((p\/(p\/(p\/(p\/(p\/((p**6\/p)\/p))))*p))\/p)*p*p*p)*p))**(-4\/23) assuming p is positive.\nAnswer: p**(-40\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 843, 1683, 2523, 3363, 4203?\nAnswer: 5043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41013708 to the power of 1\/2, to the nearest integer?\nAnswer: 6404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0)\/(-3*1). Suppose 3*v + 2 = -3*h - 4, -h - 2*v - 4 = w. Let n be h\/(-1) + (52 - -2). Calculate the highest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*l + 0*l + 1)*(1 - 1 - 3*l)*(311 + 515 - 313).\nAnswer: -4617*l**2 - 3078*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*c + 6, 9*f - 4*f = -c + 6. Let s be 4 - -25 - (-1 + -1)*f. Solve -5*m - 6 = -s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*k - 49*k - 3015 - 39*k + 7764 + 6621 as g*k + u and give u.\nAnswer: 11370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (10 - 6 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 f, and 1 m when four letters picked without replacement from {x: 1, f: 3, b: 1, k: 3, m: 6}.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3538 + -3?\nAnswer: 3535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 12:18 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -57823.29785 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 28. Let a(w) = 5*w + 84. Let l(u) = a(u) - 3*t(u). Let f(y) = y**2 + 161. What is f(l(s))?\nAnswer: 64*s**2 + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 7*v**6\/24 - 11*v**5\/15 - v**4\/12 - 887*v**3\/6 - 34*v**2 - 3. What is the second derivative of y(q) wrt q?\nAnswer: 210*q - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(288)*-1 - sqrt(288)) + 0 - ((0 + sqrt(288) + sqrt(288) + sqrt(288) - sqrt(288)) + 0) - (-5 + -1*(sqrt(288)*-1 - sqrt(288))))*4*-5)**2.\nAnswer: -285120*sqrt(2) + 4157001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let t(m) = -3*m. Suppose 66*c - 73*c + 14 = 0. Let i(f) = -8*f + 12. Let q be i(c). Determine q*t(d) + 11*y(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 2. Let k(b) = 1. Let n(p) = -8*k(p) + 4*z(p). Let g(u) = 5*u**2 - 6*u**2 + 2*u**2. Give g(n(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 + 3. Let z = -28017 + 112637\/4. Let x = z + -141. Which is the nearest to -2\/5? (a) x (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.3041242 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a + 6*m - 800 = 8*m, -26 = -3*a + 2*m + 48 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 1, 1417, 4530?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2936*l = 2924*l - 96 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - 6.87. What is the smallest value in -2\/3, n, 0.3, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126894137 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2773326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbsbbbbssbbbssbs. What is prob of picking 3 b and 1 s?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {c: 1, a: 1, g: 3, f: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3041182 + 993082 = 104*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(-4))\/(9\/18). Put 0.1, b, -2 in increasing order.\nAnswer: b, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370561007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*0 + 4. Suppose 11 + 5 = q*h. Suppose -h*r = -115 - 73. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5*d + 43556*a**3*d - 441*a - 153*d wrt a.\nAnswer: -40*a**3*d + 261336*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/4)\/((56\/8)\/(-28)*-2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 86 - 29) + -97.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u + 0*u)*(668 + 942 - 318 + 1036 - 294).\nAnswer: 2034*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -45. Let n = 43 - l. Find the second derivative of 10*i**3 + 13*i**n - 10*i - 10*i wrt i.\nAnswer: 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31343 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 838*w + 105596. Determine m(-126).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268241*m**3 - 3*m**2 - 1647*m - 17.\nAnswer: 1609446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(102) + sqrt(102)*1)*-1*-3)\/((-2*sqrt(48))\/sqrt(8) - sqrt(216)).\nAnswer: 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 4, -0.2, 0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/17)\/k*(k*k*k*k\/k**(2\/111)*k*k*k)\/k assuming k is positive.\nAnswer: k**(9845\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -27223780\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t**2 + 6*t + 5. Let u be x(-3). Suppose 0 = 5*q - 20, -u = 5*k + 3*q - 789. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -19. Calculate the highest common factor of 21 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049974 rounded to five decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.174 - -112.826. Let l = 77 - d. Let i = -36 - l. Which is the closest to i? (a) 2 (b) -0.13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*d = 25, 2816 = 3*q + 3*d + 2849 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -110597b?\nAnswer: 110597c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 74.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**2))\/v*v**(-3)*((((v\/(v*(v**0*v)\/v)*v*v)\/v)\/v)\/v)**(-47)*(v**(-4)*((v**(-1)*v*v)\/v)\/v)**9 assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22577 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktfttkttfikiftt. Give prob of sequence ffki.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 2, h: 4, f: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**3 + 2*i**2 - 1. Let t = -6 - -9. Suppose 6*d - t = 3*d. Determine o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -109\/4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86526 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w + 88. Give j(53).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80742, -161485, -242226, -322965, -403702?\n\"Answer: v**2 - 80746*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 2400?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + y - 35, 6*y - 40 = -5*r + 4*y. Suppose -2*v + 5*g = r*g - 3, -12 = v - 4*g. Solve v*k + k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 3*i + 15, 21*p = 23*p + 5*i - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395 and 95532725?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Suppose -a - 1 + 70 = v. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 9. Let x be u(-7). Which is greater: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/10)\/(3\/2). Let a be (-9)\/(-8)*6\/9. What is the third smallest value in 2\/7, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*(2 - (-8)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 + 4*j + 6. Let n be s(-6). Suppose 61*w - 13*o = 56*w - 144, -4*o = -5*w - 27. Solve -h = w*h + n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + (sqrt(704) - (2 + -2*sqrt(704)) - (2 + (sqrt(704)*-2 - sqrt(704))) - ((sqrt(99)*-3)\/sqrt(9) - sqrt(1100)*3)))**2.\nAnswer: -324*sqrt(11) + 72178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.255*0.028\nAnswer: -0.00714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1. Suppose 0 = 4*z + 4. Let v(g) = 5*g + 1. Let j(d) = z*v(d) - n(d). Is 15 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**5\/60 - 7*u**4\/18 + 16*u**3\/9 - 303*u. Factor x(i).\nAnswer: -i*(i - 2)*(i + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 32.4. Let r = 9.6 + v. Which is smaller: r or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*t - 3*t + 0)*(-156 + 15 - 55) - 6*t - 1 + 1 as u + i*t and give i.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 9)*((1 + 4 - 4)*(2*f**2 - 3*f**2 + 2*f**2) - 2*f**2 + 0*f**2 + f**2 + (2*f - 2*f + 2*f)*(2 - f - 2)).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -13\/98, 1863?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 17319?\nAnswer: -10391.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-408)*-12*(-7)\/(14\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3911 = 27*h - 15008. What is the remainder when h is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28891, -28785, -28651, -28489, -28299, -28081, -27835?\nAnswer: -27561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 7:16 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4487*m - 3 + 3 + 8*m**3 + 4465*m - 2 to the form x*m + h + d*m**2 + t*m**3 and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-10)*15\/(-2). Let r(v) = 4*v**3 - 33*v**2 + 68. Let j be r(8). Solve t*y = j*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 9:43 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520523171.\nAnswer: 7, 74360453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (23 + -26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 377\/5. What is the nearest to -3 in 2, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 16 = -8*c. Let w be (154\/28)\/((-1)\/c). Calculate the greatest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130304 (base 6) to base 2\nAnswer: -10111000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*s - 3, -4*s - 2*n = -7*s - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -8, 0, 22, 64, 132, 232?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*y + 26 = 0, -5*d - 2*y + 22 = y. Suppose -67 = -d*f + 155. List the prime factors of f.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 3328895.\nAnswer: 6\/665779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4, 7969*j - 7968*j = v + 3 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 172026 and -13.\nAnswer: 172013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 7336 = -38*w. Let t = -745654\/5665 - -28\/1133. Let p = t + w. What is the fourth biggest value in -5, p, -2, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/640)\/((-9)\/12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*t = z + 4, z + 3*t = -2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154511.91 months in decades?\nAnswer: 1287.59925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99*14\/2646)\/(((-462)\/(-36))\/7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2976 - -2975.8. Which is the nearest to -2.2? (a) -4 (b) 7 (c) q (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 6. Let q be o(6). Let k = -1 - q. Suppose 4*j - 3*d = 52, 19 = 2*j + 5*d - 7. What is the remainder when j is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(-4 + 4\/(-3)). Find the common denominator of 87\/22 and v\/60 - 2444\/(-120).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/147*(-91)\/2236?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 14 = 4*m, 3*h - 4 = -m - 7. Suppose 0 = -16*j + 20*j + 3*d - 5764, 0 = m*d. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56772509.\nAnswer: 2897, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 230?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 7068\/24 - (-6)\/12.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 5 + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/7 + 6970*r**2\/7 - 1483817*r\/7 + 80220512\/7 = 0. What is r?\nAnswer: 109, 6752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -1. Suppose 5*p = -20, -3*d + 6*p - 5*p + 7 = 0. Put -5, d, b in ascending order.\nAnswer: -5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*u - 86 + 941, 5*d - 1442 = u. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43724?\nAnswer: 2, 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 719667 and 10795005.\nAnswer: 10795005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4613 - -4619. Which is the second smallest value? (a) -15 (b) -0.1 (c) -0.5 (d) 2\/11 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75726 and 504.\nAnswer: 302904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = d + 4*t, -7*d + 476 = 5*t + 15. Let x = -8 - -3. Which is the second biggest value? (a) d (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - w - 5. Let s(t) = -4*t**2 - 3*t - 9. Calculate 3*s(r) - 5*u(r).\nAnswer: -2*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.7 + 3.3. Let m = -19 + u. Let j = m + -2.5. What is j rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -2*g**7\/35 - 7*g**6\/40 + g**5\/10 - 8*g**2. Factor o(h).\nAnswer: -3*h**2*(h + 2)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.216 + 24.716. Let x = 0.1 + 0.2. Let h = -3 - 1. Put x, h, u in descending order.\nAnswer: x, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42824)\/318 + 135)*(-57 - -2)\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.1, 212, -40.5, -4?\nAnswer: -40.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118773 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 9. Let q be f(-5). Suppose 0*c + 3*c + 33 = 0. Let p = q + c. Calculate the remainder when 3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111 + -101101011001010001100?\nAnswer: -101101011001000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17177\/12138 + -3\/289. What is the common denominator of j and -97\/22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -18901*a**5\/20 - a**4\/4 - a**3\/3 + 20*a. Let s be w(-1). Suppose -5*v + s = v. Round v to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i + 3*i - 4 + 2*i. Let t be h(6). Solve 0 = -0*p + t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 303 + -129. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 5271.3.\nAnswer: -10542.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3151016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 1 = -23*q + z, -4*q - 3*z = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*-2) - (sqrt(7) + (sqrt(49) - sqrt(441))\/sqrt(7)) - (-4*-1*sqrt(343))**2.\nAnswer: -5488 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*t + 107*t + 32*t)*(-t - 3*t - t) + 3*t**2 - 3*t**2 + 2*t**2.\nAnswer: -878*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*a**3*n**2 + 1061*a**3*n wrt n?\nAnswer: 144*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3 - 16\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -613 (base 11) to base 14\nAnswer: -3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (5 + -4 - 0) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.4 (b) 0.2 (c) -1\/218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -31 - (-4 - 1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3939569?\nAnswer: 3939569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {j: 3, v: 1, k: 1, b: 6, r: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 28*m**2 - 36*m**2 - 3 + 7 - 4*m. Let g(o) = -o**2 - 4*o + 1. Let z(w) = w**2 + 3*w - 1. Let r(h) = -2*g(h) - 3*z(h). Determine -i(q) + 4*r(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81 + 93 + 121)*(-2*u - 3 + 3)*(24*u + 36*u - 79*u) as f*u + c*u**2 + q and give c.\nAnswer: 5054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32400264*k**3 + 11*k**2 + 2500*k + 290 wrt k.\nAnswer: 194401584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 26*d + 10. Determine w(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/11)*q**(10\/3))\/(q*q\/(q\/((q**(-13)*q)\/q)))**(3\/14))**(6\/11) assuming q is positive.\nAnswer: q**(2854\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87 + -90 - 72\/(-22). Let l = -0.1 - -0.1. What is the nearest to n in -1, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, 437, 4, 2, -6, -2 in decreasing order.\nAnswer: 437, 4, 2, 0, -2, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y. Let l(d) be the first derivative of 0*d**2 - d - 231 - 71\/3*d**3. What is l(p(f))?\nAnswer: -284*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(16\/160)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 36*c**2 - 6*c - 326. Let z(p) = -p**2 - 2*p - 1. Let o(a) = 2*y(a) - 6*z(a). What is the derivative of o(t) wrt t?\nAnswer: 12*t**2 - 132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -17*b**2 - 21*b + 56. What is g(4)?\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3510.62 - -3510. Sort -7, -0.4, g.\nAnswer: -7, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1308527 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6858, -6735, -6612?\n\"Answer: 123*d - 6981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4252 + 7626. Let k = 413 + z. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:59 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 19*p + 2*p = 39 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.2 (c) -17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v + 68*v - 413*v - 5750 = 0 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*i - 24, 28*i + 40 = 3*n + 32*i. Solve -n*m = -0*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 - 12*h**2 + 15*h + 5. Let x(i) = i**3 + i**2 + 2*i - 1. Let q(n) = -w(n) + 4*x(n). What is the tens digit of q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6808510 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.9, -92?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75713*z + 25 - 18932*z - 18927*z - 18925*z - 18931*z.\nAnswer: -2*z + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*y - 6228. Suppose 2*q - n - y = 0, 5*q + n - 2581 = -0*n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + 6 = 0. Suppose -g - 5*d - 575 = a*g, g = d - 181. Let k = -106 - g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -34, -17\/5.\nAnswer: -34, -17\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 132*g**2 - 3*g + 3. Let w be x(-1). Is w < 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 696, 1410, 2142, 2892, 3660, 4446?\n\"Answer: 9*b**2 + 687*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980 divided by 98.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (1 - (-26 + -12)) - -5) + (-3 - -5).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 3. Let h be b(-4). Let z = h + 3. Suppose k + z = 2*k. Solve -24 + k = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -1\/52 (c) 0 (d) -282 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61*(0 + 2)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 30 = -18. Let r be ((-8)\/k)\/(4\/(-18)). Let d(g) = g - 1. Let a be d(r). Solve -2*j - a*j - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000725858 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 6*r - 2. Let q be s(-5). Suppose -9 = -3*g + 3*a, -q*g + 0*a = 3*a - 3. Let d = -3.4 - -1.4. What is the second smallest value in d, -4, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22415 - -3?\nAnswer: 22422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j - 4*j + 4*j. Suppose -9*w = 3*w - 24. Let h(a) = -177 + 177 + 2*a**w. Give h(o(d)).\nAnswer: 200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1\/2 (c) -0.2 (d) 0.1 (e) 207320\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + i)*(-i**2 + 0*i**2 + 0*i**2)*(2*i**2 + i**2 - 6*i**2).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55371287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007957924 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t)**38\/((((t\/(t\/((t\/t**9)\/t)))\/t)\/t)\/t*t**(-2\/21)) assuming t is positive.\nAnswer: t**(-2938\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 - 174\/(-12). Suppose w = -3*w - 2*t + 36, -2*w + t + k = 0. Let r(c) = 10*c - 5*c - w*c - c. Let l(x) = 9*x - 1. What is 2*l(u) + 5*r(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/10*4\/(-42)*-2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -49*u**2 - 7. Let l(s) = -6*s**2 + 2*s - 1. Let a(f) = 44*f**2 - 14*f + 7. Let r(p) = 2*a(p) + 14*l(p). Calculate d(r(n)).\nAnswer: -392*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 16*c - c**2 - 16*c. Let q(l) = l**2. What is q(n(d))?\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0794? (a) 1\/6 (b) 0.4 (c) 0 (d) -2\/623\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8 = -m, 2*m = 5*b - 0*m - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*w + 16278 = 34630 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**5 - 2*v**5 - 4*v**5 + (-4*v**3 + 5*v**3 - 5*v**3)*(-4*v**2 + 0*v**2 + 3*v**2) - v**5 - v**5 + v**5.\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f - f**2 + 0 - 3\/2*f**3.\nAnswer: -f**2*(3*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18076016 and 6024.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**6\/30 - 5*j**4\/24 - j**2\/2 - 1. Let g(p) be the second derivative of t(p). Find the second derivative of g(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + 85*g + 188. Let r be z(-26). What is the highest common divisor of 62 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-3)\/(6\/(-2)) - 2). Solve -j = -0*d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43490*t**6 - 7317*t**2 + 2.\nAnswer: 5218800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2144218 is divided by 243.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Let b = -471 - -277. Let p = -194 - b. Solve -v - a = 2*v + 3*w, p = 5*v + 3*w + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02443471 rounded to five decimal places?\nAnswer: -0.02443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n**2 + 7. Let x(b) = 13*b**2 + 8. Let c(v) = 7*g(v) - 6*x(v). What are the prime factors of c(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 3, p: 1, h: 2, a: 7}. Give prob of sequence pl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-13*g + 38*g - 3*g) + 31*g + 12*g - 173*g.\nAnswer: -108*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/((-1188)\/(-120))*(-2)\/8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 27*n - 6*n**2 + 3 - 58*n + 29*n. Determine q(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -258171539.\nAnswer: -4\/258171539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f + 18 + 36 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 k when three letters picked without replacement from vcysckse.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 750288352 - 2324393235493\/3098. Let o = -2\/1549 + v. What is the common denominator of o and 13\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9977, 9975, 9973?\n\"Answer: -2*o + 9979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -16*v - v + 10*v + 16. Does 11 divide k(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2047 or -2043?\nAnswer: -2047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33228875 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 63*q - 395. What are the prime factors of l(15)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (353*y**4 - 207*y**4 - 282*y**4)*(1 - 1 + 2*y)*(0 - 7 - 10 + (0 + 1 + 0)*(1 + 2 - 5)).\nAnswer: 5168*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + p + 10 = 0, -4*q + 14 = -0*q + p. Suppose -q*n + 59 = -485. Let z = n - 76. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 - 20*h**2 - 2*h - 22. Let j(b) = -b**3 - b**2 - b + 1. Let p(d) = 6*j(d) + x(d). Does 28 divide p(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*z + 5*z + 15 = 0, -g + 2*z = -9. Suppose 3*v + 780 = g*p, 2*p - 515 = -2*v + 3*v. Let x = 427 - p. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) 4 (c) 0.58 (d) -2\/5 (e) 5 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1965168 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-144))\/(92\/(-24) + 7 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, -6\/11, -2\/7, 0.05, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128.6 + -129. Let i = 4.9 - 0.9. Which is the closest to -2\/5? (a) 0.3 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 457.028 - 457. Let r = -0.562 - p. What is the second smallest value in 1\/6, r, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose 660 = w - c*w. What is the tens digit of ((-2)\/4)\/(10\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 758?\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85199586*a**5 - a**4 + 735312911*a**2.\nAnswer: 5111975160*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 2*w - 26. Give g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3826976 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 184033785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by -9\nAnswer: -151\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*2)\/((-6)\/4). Let g = 6 - 3. Let t = -17\/15 + 71\/45. What is the closest to -2\/7 in g, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15066.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9543 + -1?\nAnswer: 9542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2, -170\/53, -2\/8451 in descending order.\nAnswer: 2, -2\/8451, -1\/5, -170\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -12, 2\/3, 514, -5 in descending order.\nAnswer: 514, 2\/3, -2\/15, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 26*r**2 - 119. List the prime factors of g(21).\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -19, -4 in decreasing order.\nAnswer: 2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00949078 rounded to four decimal places?\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*a - 29*a - 22 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ppflffpppplffp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1747820*a**2*m**3 + 41*a**2 - a*m**3 - 2*a*m + 9*a + 9026*m**3 + 3*m - 1 wrt a.\nAnswer: 3495640*m**3 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3*t*t**(-1\/4))**(-31))**20)**(-40) assuming t is positive.\nAnswer: t**93000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -4, 11?\n\"Answer: 15*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 56, 54, 52, 50, 48?\n\"Answer: -2*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 34. Let h be j\/12*6\/4. Suppose -h*l + 201 = 33. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-35))\/((-2)\/21). What is the remainder when (4\/s)\/(24\/2700) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.027? (a) -0.01 (b) -280 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, v: 7}. What is prob of picking 2 x and 1 v?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*(-805)\/5750*3*(-12)\/(-1197).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + 11*x**2 + 27 - 67 to the form p*x + t*x**2 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 80*z**3 - 564*z**2 + 31*z - 29. Determine d(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 10*x - 0*x. Let a be (-6)\/6 - x - -10. Solve -5*n + 14 = z, 3*n + 3*z = -3 + a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000187128 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 3*m**2 + 2*m. Suppose 2 = a - 0*a. Suppose 0 = -3*g - 3*y, 0 = -a*g - y + 1 - 3. What is t(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -2 + -1 + 8137 + 3 + -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4.9. What is the third smallest value in s, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 2*y - 3*j, 5*j + 2 = y. Suppose y*d + 0*d - 6 = 0. What is the units digit of (2 - d)\/(-1) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 + 3*p**2 - p**2)*(p - 1 + 1) + 1 + 34*p**3 - 10 + 3 + 0*p**2 - p**3 + 0*p**2 to the form d + h*p + s*p**3 + r*p**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*q - 3*h, q + 3*h + h - 21 = 0. Let x be (22\/3)\/((-3)\/q). Let y be x\/(-4) + 2\/(-4). Solve y*r + 5*n - 25 = 0, -6 = -n - 2*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from fjjavjjvjjafzajjvzz?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 + 4*v + 3. Let y be w(-6). Let x be (-637)\/y + 3\/(-9). Suppose 0 = -5*n - x + 135. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - (sqrt(1764) - -1*sqrt(1764)))\/((-2*sqrt(60))\/sqrt(5)) - (sqrt(3) + 2*sqrt(48) + sqrt(12)\/sqrt(4) + -5)*3)**2.\nAnswer: -705*sqrt(3) + 7527\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/(-21)*14\/(-3). Suppose -3*w + i = w. Solve -4*v = -5*v + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 + 13. Suppose -4*j + 540 = -4*d - 0*d, -8 = -2*d. Let t = j - 124. Calculate the lowest common multiple of b and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/15)\/((-2)\/(-183)). Let h = 117 - p. Let t = -78 + 162. What is the highest common divisor of t and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 27*s**2 - 40*s - 327. Calculate j(-26).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*r = 2*l - 151*r - 89, 44 = 15*l + r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5916205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(325\/(-52)*8\/(16\/(-4)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3548 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**2\/2 + 5*r + 14. What is d(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.069264 millilitres to litres.\nAnswer: 0.007069264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.5126 and -12.34.\nAnswer: 92.705484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4476088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77.939 - -78. Let n = -2552.611 + 2554. Let s = b + n. Round s to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*1*-22*(-1)\/22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (28 - 156)) + -256.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 4*y - 6*y)*(0*y + 7*y + y) + (6*y + 2*y - 3*y)*(2 - 2 + 2*y) - y**2 + 4*y**2 - 4*y**2.\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(-5 - 4 + 7 + (-6 - 2 - 2)*(2 + 5 - 6))*(4*z + z - 3*z) in the form n*z + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1567*l**3 - l**2 + 1815*l**3 - 1022*l**3 to the form q*l**3 + p*l + a + x*l**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(9 + (-588)\/54 - -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7381 - 7379. Factor 16\/13*f - 6\/13*f**n - 8\/13.\nAnswer: -2*(f - 2)*(3*f - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1023*c**4 - 1862*c**2 - 55*c + 1867*c**2 - 2*c wrt c?\nAnswer: 24552*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21164 and 11620645?\nAnswer: 11599481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (157 - -122) + (-25 - 121)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21173*d**2 - 21267*d**2 + 2 + 42324*d**2.\nAnswer: -116*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6.7, 0, -0.2?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -45.3 times -5\nAnswer: 226.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 = -70*g + 206*g - 867 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 58, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 5:32 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/1151 (b) 0 (c) -4 (d) 1\/2 (e) 1\/3 (f) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*y + 7 = 0. Let i = 30 - y. Calculate the highest common factor of i and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from xxthuxux?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:10 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/(-165) + (-6)\/(-15). Let d = 16 + -17.8. Let z = 2 + d. What is the third biggest value in 5, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + -3. Let v be (4\/6)\/(22\/18). Let d be (6 - (3 + 1)) + 120\/(-58). What is the third smallest value in d, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + 5*z**3 - 11 + 7*z**3 + (2*z**2 + 0*z**2 - 4*z**2)*(-13*z + 228*z + 114*z) - z**3 + z**3 - 2*z**3.\nAnswer: -648*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -12488*y + 3. Let f(x) = 141*x. Determine s(f(b)).\nAnswer: -1760808*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 - 16*a**2 - 2*a + 123. Let c(b) = 4*b**3 - 24*b**2 - 3*b + 123. Determine -2*c(d) + 3*q(d).\nAnswer: 4*d**3 + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let w(q) be the second derivative of 44*q**4\/3 - 90*q. Give c(w(b)).\nAnswer: 30976*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56119277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 24. Let t be z(4). What is the greatest common factor of t and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) - 2\/(-5). Let l = 0.02 + -0.02. Suppose 33*n - 37*n = 0. Which is the closest to l? (a) j (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284 - 200. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1160.2 - 48778778.\nAnswer: -48779938.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Let c be ((-6)\/m + 2)*4. Find the common denominator of -13\/20 and c - (-3 + 543\/42).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3427448053?\nAnswer: 61, 137, 337, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 8*k**2 + 9*k + 4. Let c be n(-9). Let h(q) = 2*q**3 + 1 - 3*q**3 + q**2 + 3 - 4*q + c*q**2. Is 2 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30886)\/(-6) + (-10)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) - 6\/(-5). Does 3 divide 6 - -1*2\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cncnnclcncrooon. What is prob of picking 1 l, 1 n, and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8\/7*u**2 - 12\/7*u**3 + 0*u + 4\/7*u**4 = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2716051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 3 - (-1 - 2)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 5*p + 5. Let y be o(-2). Suppose 0 = 2*i + q + 1, 0*q + 3*q = -4*i - y. Solve -r = -i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 22*r**2 + 5992*r + 2173. Determine l(-272).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**2 + 371*r**5 - 202 - 57 - 7*r**4 + 84 + 27*r**5 + 63 wrt r.\nAnswer: 23880*r**2 - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-5))\/((-6)\/(-435)). Let d = j - 73. Suppose -3*r = -6*r + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(20\/65)\/((-39)\/169).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8694 - 8676. Calculate the remainder when 12\/6*(-83)\/(-2) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 12*v**2 - 3*v + 1. Let y be g(2). Suppose u + 2*u = y. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3173166 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 194*v + 192*v = 22, -z - 2*v - 13 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + 5 + -6 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9632 - 10233. Which is smaller: -605 or q?\nAnswer: -605","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102828 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772847606.\nAnswer: 2, 17959, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -38*l - 2003. Calculate p(-55).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 0*q + 2*q = 10, 0 = 2*j - 4*q + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 350781 to the power of 1\/2, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4437, 4847, 5253, 5655, 6053, 6447?\n\"Answer: -2*o**2 + 416*o + 4023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let d(i) = -1677*i. Determine d(y(b)).\nAnswer: 5031*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/406)\/(40\/42)*(-10)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.4 times -5433?\nAnswer: -708463.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/985086 and 43\/927.\nAnswer: 101463858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(45))**2*2)*-2 - ((sqrt(225) + -1*sqrt(225))\/sqrt(5))\/(sqrt(36)\/sqrt(4)*4).\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19966 - 1016?\nAnswer: 18950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsg when three letters picked without replacement from {g: 2, t: 1, s: 1, z: 1, r: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -45547, -3, -187 in decreasing order.\nAnswer: 8, -3, -187, -45547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.6273123us to hours.\nAnswer: 0.00000000100758675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -1, 0.2, 1012.\nAnswer: -1, 0.2, 97, 1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/18)\/((-3)\/144). Let i(f) = -9*f + p*f - 9*f. Let d(b) = 11*b**2. Calculate d(i(c)).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(7) - -2*sqrt(7)*-1))**2.\nAnswer: 10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 + 18 = 0. Let w = l - -5. Suppose w = 6*d - 4*d - 42. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-179)\/(-4296)*12*(1\/2)\/((-1)\/412).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2 - 7*w + 3. What is i(5)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 11, i: 1, m: 1}. Give prob of picking 3 q and 1 m.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2036, -2037, -2038?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149.5 + -8.5. Let f = -140.5 + y. Let p = 0.2 - -0.2. What is the nearest to 0 in f, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-2)*r)**(-10\/17))**31)**(-45))**15 assuming r is positive.\nAnswer: r**(-209250\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -371800 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(10\/12)*205935\/27458?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.5. Let v = 185.3 - 185. Which is the nearest to 1\/4? (a) f (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*g - k - 5088 = 230, -5*g - 5*k + 8 = -72 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21351 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 6)*(-81*v + 5140 - 5140).\nAnswer: 567*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1235164 and 59\/1302.\nAnswer: 3705492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 20. Let w = c - 13\/3. Let q = 1\/43 - 89\/129. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**3 - 33 + 10*g**2 - 9*g**2 + 9*g + 2*g**4 + 4*g**3 + 32 to the form m*g**4 + r*g**3 + d*g**2 + f + t*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/40 + 3*x**5\/10 - 9*x**4\/8 + 2*x**3 - x**2 - 15. Find k, given that i(k) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 61*m**3 - 2*m**2 + 2*m - 1. Suppose 8*y + 0*y = 224. What is the remainder when b(1) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*b - 140*b + 165. What is the remainder when b is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1220373*x + 1400392 wrt x?\nAnswer: -1220373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*j**3 - 180*j**3 + 284*j**3 + 3*j**4 - 256*j**2 - 1 to f*j**4 + a*j**2 + i*j**3 + k + s*j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879365534.\nAnswer: 2, 131, 3356357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 - 2*w - 1. Let p = 17 - 19. Let q be (-7)\/7*1\/p*-2. Let d be b(q). Solve 0 = 3*s - 5*y + 10, -d*s + y + 5 = -2*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 539 = 572 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from dddtdtttttt?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23134337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-6) + 2)*-12. Suppose 3*j = -j + o. Suppose -j = -3*g - g. Solve g*i + 0 + 10 = 0, -3*a - 2*i = 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 29 = -5*r. Suppose r = 12*c - 9. Suppose 0 = 15*l + c*l - 114. Calculate the highest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 3*w + 6 - 3. Let z be u(-4). Let o = 0.671793 + -0.671793. Sort o, -4\/13, z in descending order.\nAnswer: o, -4\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - (-5 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -1 - (-18 - -11 - 1)) + -19.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {i: 6, e: 2, b: 1, g: 3, x: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 42*x - 21. Let q(o) = -41*o + 19. Let g(m) = 9*h(m) + 10*q(m). What is g(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3568795\/41 or -87043?\nAnswer: -87043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Suppose -23*s = 43*s + 25*s - 273. Sort s, 5, 7, g in ascending order.\nAnswer: s, g, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 4. Let n be o(4). Suppose n*z - 3*y + 2*y = 129, 4*z + 2*y - 138 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 1 - 6)*(4 - 1413).\nAnswer: 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let a be -4 + u - -3 - -2. Suppose -a*c = 2*d + 10, -4*d + 2 + 22 = -5*c. Calculate the lowest common multiple of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 0*(0 + -1). Suppose 128 = g + d*g. Suppose -4*h + g = -40. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*j - 7, 0 = 5*p - 4*j - 30 - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 9. Let t be r(-10). Let g be (-14)\/(2 + -4) + t. Suppose -73 = g*l - 271. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 10 - -12) + -19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 - 253. Let z be (-134)\/(-4) - (-2)\/(-4). Suppose z + 27 = b*s. Solve 3*k + n - 9 = -4, 4*n - s = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**3 + j**3 + 2 - 5*j**2 + 5*j**3 to o*j**2 + k + v*j**3 + g*j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-2)\/(-3)*6. Let z = 0.35 - 0.4. Let b = z + 0.15. Put b, x, -0.01, -5 in descending order.\nAnswer: b, -0.01, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*d - 640 = 0, 2*b - 175 - 145 = -3*d. What is the highest common factor of 52 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-11 + 2 - 0). Let n be 3 + (-8 - -3) + w. Suppose r = 1, 81 = 5*h - 0*r - n*r. Calculate the highest common factor of 153 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:39 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1103 - -409. Let s = 915 + x. What is the highest common factor of 104 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17512 = 23*z - 68577. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = -28*p + 884. Solve -8 - p = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, m: 1, h: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 51.6?\nAnswer: -722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88407 - -24407. What is b rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10121*i - 793040 + 527860 = -2141*i + 1144950 for i.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g + 272 - 9472. Does 46 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176427227 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*m = -h - 40, 5*h + 3*m - 54 = 0. Suppose -h*g + 4*g = -47872. Let z be (-4)\/(-26) + g\/143. What is the highest common factor of z and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*h - 84 - 338 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 16*d - 62. Let b be g(4). Solve -18 = h + 5*f, -b*h = 3*h + 2*f - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + (sqrt(11) - 2*sqrt(11)) - sqrt(11))**2 + -6*(sqrt(33)\/sqrt(3))**2 + sqrt(11)).\nAnswer: -18 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)\/(4\/(-8)). Suppose -g*r + 124 = -4*r. Let x = -4 - r. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.52, -708, 0, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**3 + 61*p**3 - 135 + 82*p**3 + 2*p + 135.\nAnswer: 109*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 41*a + 36*a - 71909, 5*a = -35. Is 242 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*1)\/sqrt(4) + (-4 + (sqrt(720) - (sqrt(720) + 0)))**2 - (2 + 2 + (sqrt(180) + 1)*-3).\nAnswer: 15 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**11\/(r**(-8)*r*r**(1\/16)) assuming r is positive.\nAnswer: r**(-241\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 723, 729, 739, 753, 771?\n\"Answer: 2*t**2 + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myiyiimymmymhiiy. What is prob of sequence hmm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4742 - 4750. Let d(u) = -u**3 - 6*u**2 + 10*u + 6. Calculate d(f).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 15, -3*b + 2*r + 2*r = -24. Let j(f) = -f**2 - 2*f**2 + 0*f**2 + b*f**2. Let o(g) be the second derivative of -g**4\/6 + g. Calculate j(o(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 1. Let o(c) = c + 3. Let s(f) = 4*m(f) - o(f). Give s(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-16) - 2 - 118\/(-4). Suppose -m = -8*f + 10. What is the second derivative of -f*j - 45*j**5 - 510*j**3 + 510*j**3 wrt j?\nAnswer: -900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/(sqrt(32)\/sqrt(4)))\/(-2*sqrt(4)*1))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29\/c*c)\/((c**(1\/21)*c*c)\/c)*(c\/(c*c*c**(-4\/9)*c))**22 assuming c is positive.\nAnswer: c**(-395\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from wnvndnndnnkkkwnkwk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 0, -0.1, 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 4 - 27 - 2 - -24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470*h = -139*h + 66*h + 67056 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - 2480?\nAnswer: -2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*b - 73, 5*b = -u - 7 + 3. Suppose -u = 6*l - 273. What is the smallest common multiple of l and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91115 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: Suppose -5*d = 5*f - 368620, 225*f + 294905 = 4*d + 232*f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 114.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2304471 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -39*c - 608. Let a be j(-16). Solve 14*v - a*v = 2*z - 4, -2*z - 2 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -512 - -522. What is the third biggest value in 3, b, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18514 is divided by 6170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.12 - -204.32. What is g rounded to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 - 2*c**2\/3 + c.\nAnswer: -c*(c - 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2. Let d(a) = -20*a + 5. Calculate d(w(m)).\nAnswer: 80*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.2208 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = -7*x. Let a(g) = -x*g + 10*g - 4*g - 1 - 5*g. Give a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8661 times 0.3?\nAnswer: 2598.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 37. Let g be n(-8). Suppose -3*o + 0*b = 3*b - 102, 210 = g*o - 3*b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 3*s + 7, 6*l = l + 5*s - 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z - 1. Let d(y) = 9*y**2 - 6*y + 6. Let s(n) = 2*n + 3. Let j be s(-2). Let q(k) = j*d(k) - 6*x(k). Let i = 1 - 0. Calculate q(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1078)\/420 + (-24)\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16)*-1)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.70813282 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 2*w**2 - 4*w + 1. Let k be p(3). Let d(j) = 2*j - 9. Let c(x) = 296*x - 4445. Let q be c(15). Let l(h) = -h + 4. What is k*d(v) + q*l(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*z + 3*f, -z + 26 = -7*f + 2*f. Let v = -23 + z. Solve 4*o - 4*g = 4, -g + 3*g = -2*o + v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2\/4 - 5809185*f\/4 + 223644729\/2 = 0. Calculate f.\nAnswer: 77, 1936318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -142. Let r be i - (1 + 8\/4). Let s = 62 + -41. Calculate the highest common factor of s and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 923 divided by 2021\nAnswer: 923\/2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 19.202087?\nAnswer: 18.202087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/((l\/(l**(5\/2)*l))\/l))\/l))**46 assuming l is positive.\nAnswer: l**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 5*i + 5*i)*((-20 + 8 - 8)*(1 + i**2 - 1) - 3*i**2 + 4*i**2 + 2*i**2).\nAnswer: 68*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*b + 18*b + 3094 = -409 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 75. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1304677176 and 2178.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 1 (c) 2.06 (d) 4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*v + 6000 = -4838 - 5934 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 70*j**3\/11 + 866*j**2\/11 - 274*j - 3810\/11 = 0?\nAnswer: -15, -1, 127\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -83*h + 3398. Calculate u(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(-3*m + 4*m - 3*m) + 18*m**2 + 237 - 237 + 1 + 2*m**2 - 1.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -47854?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l + 4 - 64 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/29039 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (500\/(-30))\/(1\/39). Let h = 42 + -481\/14. Calculate the common denominator of h and (q\/8)\/(-5) + -3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 830\/(-3) + 2\/3. Let q be j\/(-10) - 4\/(-10). Suppose -d - d = y - q, -y = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 s when three letters picked without replacement from {x: 1, s: 2, j: 4, d: 2, n: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 84063885 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 849 and 0.6.\nAnswer: 509.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -248 + 58?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -154, -146, -148, -166, -206, -274?\n\"Answer: -o**3 + o**2 + 12*o - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -139, -179, -193, -175?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgw when three letters picked without replacement from wwgmmmssswwmssmsmn?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 8*j + 33. Let l be b(11). Suppose 11*w + l*w = 473. Calculate the highest common divisor of 43 and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5085881718 to the power of 1\/2, to the nearest integer?\nAnswer: 71315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2812 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14690, 14695, 14698, 14699?\n\"Answer: -r**2 + 8*r + 14683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b**3 + 48*b**3 - 107*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u**3 + 6*u**2 - 6*u + 6. Let s(l) = 45*l**2 - 6*l**2 + 5 - 13*l**2 - 9*l**2 - 5*l - 21*l**3 - 12*l**2. Give -5*j(x) + 6*s(x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from jjvwwwuwwwvjwwjww?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + -1*sqrt(17) - sqrt(17)) - (4 + -2 + -2*sqrt(17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10321662 to the power of 1\/2, to the nearest integer?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631024 is divided by 1643?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5339071.\nAnswer: 17, 314063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4788 - 1656. Calculate the highest common divisor of x and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*73*17*4\/34.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17912 = 139*l - 78*l - 413*l + 1368 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:17 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 + 133*s**3\/5 - 408*s**2\/5.\nAnswer: s**2*(s - 3)*(s + 136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*b**4 - 448\/3*b**2 + 256*b + 0 + 100\/9*b**3.\nAnswer: -2*b*(b - 24)**2*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(3\/(-45)). Let r(j) = -3*j**2 + j + 8. Let o(n) = -7*n**2 + n + 17. Let v(l) = t*r(l) + 2*o(l). What is the tens digit of v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 - 10 = -5*k, 4*k - 5*t = 35. Solve -5*c - 34 = 3*q, 18 = -c - k*q - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.04 + -4. Let l = p - -3.96. Let o = -2 - 2. What is the smallest value in o, -0.3, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*x - 23, n + n = -x + 4. Let c be 11\/n - (-2)\/(-3). Solve 0*d = c*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*h + 239*h - 4005 = 0. Calculate the remainder when h is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + (-9)\/(-4))\/((-1602)\/712) and 37\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n - 44. Let k be u(-5). Solve 8 = f + k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -3*r**5\/20 + 5*r**4\/12 - 3*r**2 - 4*r. Let a(i) = -2*i**3 + 4*i**2 - 5. Determine -5*a(v) + 4*f(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 19 - 2 = 0. Let i = g - 12. Calculate the highest common divisor of i and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*q + 10, 0 = -i + 4*q - 5*q + 7. Let c(x) = -x + 1. Let m(v) = -12*v + 10. Determine i*m(p) - 20*c(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*q**2 - 2680645*q + 10626458?\nAnswer: 10*q - 2680645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 32. Let y(r) = -14*r + 16. Let o(a) = 3*a - 3. Let x(c) = u*o(c) - 2*y(c). Let b = -6831 - -6830. Calculate x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 a, and 1 x when four letters picked without replacement from {e: 3, j: 1, x: 4, o: 1, z: 1, a: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194778287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343023 is divided by 491.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**4 + s**3 + s**2 + s + 1. Let c(d) = 4*d**4 - 12*d**3 - 5*d**2 - 7*d - 7. Let w(o) = -5*c(o) - 35*y(o). Factor w(f).\nAnswer: 5*f**2*(f + 2)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 3*v - 1. Let u(w) = -w + 1. Let h(g) = -3*g - 11. Let l be h(-6). Let p(x) = -x**3 + 6*x**2 + 8*x - 8. Let i be p(l). What is i*d(z) - u(z)?\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -13*t - 24 - 32, -2*t + 4*w = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*n + 70*n - 66*n - 231*n + 56*n to the form b + g*n and give g.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 46*s**2 - 4. Let q(f) = -43*f**2 + 6. Give -6*l(x) - 7*q(x).\nAnswer: 25*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 155. Find z such that 53*z**2 - z - p*z**2 + 52*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (60 - 5) + 67\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2376266 seconds to microseconds.\nAnswer: 237626.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000572 to 5 dps.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33209388, 66418776, 99628164, 132837552, 166046940?\nAnswer: 199256328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 417885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 + 7*a - 19. Let n be d(4). Suppose 140*b - 222 = n*b. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 10:16 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*3)\/(9\/(-24)*-2). Suppose 2*f - 18 = -2*p, 0*p + 3*f - 31 = -i*p. Suppose -p*x + 3 = -13. Put -10, -3, 5, x in ascending order.\nAnswer: -10, -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17110170 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41816.\nAnswer: 2, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 20*b = 224. Suppose b = -v + 47. Solve 0 = -5*c + 3*p - 2*p - v, -3*p - 19 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (1 - 1) - 0. Let p(o) = o**2 + 9*o - 9. Let k be p(-10). Solve j = z - 2*z - k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54867 is divided by 27424?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q**2 + 393*q - 132 = 0. Calculate q.\nAnswer: -44, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 77\/2. Let v = -3.7 - -4. Which is the third smallest value? (a) -0.3 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221498048 to the power of 1\/3, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = 4*g, -g + 34 = 5*s + 10. Suppose 5*w + 3 = -2*u + 4, 0 = 5*u - s*w - 52. What is the remainder when 23 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0.3 (c) -26314 (d) 162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -87 (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 26224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/11 and 87\/82.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(225)\/sqrt(3) + sqrt(48) + sqrt(48) + (-2 + sqrt(48) + sqrt(48) + sqrt(48))**2 + -3)*1.\nAnswer: -866 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*g = 382*g - 834. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -577471 (base 9) in base 6?\nAnswer: -11232531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 68*g**3 + 0*g**4 + 2*g**2 + 5*g**4 + 42*g**3 + 0*g**4 - 11*g + 28*g**3 as k*g**2 + b*g**4 + n*g + a*g**3 + d and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 4616633.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019087 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 11*f**3 - 10*f + 7*f.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 226554252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4405 divided by -5.\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -65, -100, -135, -170?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-13) + (-9330)\/(-195) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2458264 (base 9) to base 2.\nAnswer: 101000110101001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 495037.1 micrometers in nanometers?\nAnswer: 495037100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 7:15 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/11 + 938*c**3\/11 - 34338*c**2\/11 + 343862*c\/11 - 310460\/11 = 0.\nAnswer: 1, 19, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 142.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 59. Let c = x - -42. What is the smallest common multiple of c and 86?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 6 - 19 + 3*x)*(0 + 4 - 3) + (x + 1 - 1)*(5 + 4 - 1) + 4*x - 3*x + 0*x in the form r + k*x and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*l**6 + 11169*l**4*x - 91*l**2 - 4410*x wrt l?\nAnswer: -12960*l**3 + 268056*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 182535470 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 435, 1924, 4467, 8064, 12715, 18420?\n\"Answer: 527*q**2 - 92*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 - 3. Let u be (12 - 374\/33)*(-2)\/4. Which is the closest to -29? (a) -0.4 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - 3)\/9*((-24)\/(-9))\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75741762 divided by -6.\nAnswer: -12623627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*((-2 + -2*sqrt(468) - -5*(0 + sqrt(468))) + 4)**2.\nAnswer: 288*sqrt(13) + 16859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 381*u**2 + 25991*u + 461. Determine d(-89).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/88*158 + 7.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttxtrermmttmtx. What is prob of picking 1 x and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 15. Determine j(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 5, -5*t - 4*r = -1817. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-4)\/10)\/((-6)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**6\/120 + 3*v**5\/10 + 17*v**4\/12 + 11*v**3\/2 - 126*v**2. Let g be t(-16). Which is bigger: 1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*j - 84*j - 15*j + 22*j.\nAnswer: -224*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 17*q**9\/504 - q**8\/168 - 817*q**5\/60 + 32*q**2. What is the third derivative of u(w) wrt w?\nAnswer: 2040*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -27009 and 4524.\nAnswer: -22485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67853927 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 + 108492*m\/13 - 1471314258\/13.\nAnswer: -2*(m - 27123)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 5 (c) 12 (d) -936\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090430.43 rounded to the nearest 1000?\nAnswer: 3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1276.7, -2, -1\/4, -1, 2 in ascending order.\nAnswer: -1276.7, -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1.2 (c) 166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfnffnn. Give prob of picking 2 f and 1 n.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 4:54 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83406 - -82940.17. Let g = 460 + s. What is g rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*x - 107 + 237*x**2 - 235*x**2 + 61 + 46.\nAnswer: 2*x**2 + 542*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73955862 by -1542.\nAnswer: -47961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 + 9*k + 18. Let y be i(-5). Let a = 1430\/9 + -30587\/198. What is the common denominator of a and (-355)\/y*(-7)\/140?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -30353303.\nAnswer: -3035330.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9626251993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/14 - (-2030)\/(-49). Let j = t + 72. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*d = 145*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let y(w) be the third derivative of w**2 + 0*w + 1\/12*w**5 - 21 - 1\/12*w**4 + 0*w**3. Give y(u(k)).\nAnswer: 5*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028303 bigger than 1028304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) -27.366 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/13)\/((-4128)\/2236)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-35) + (3093\/(-810) - -3) - (-890)\/4450\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71407 + -180760. Let t = 569606 - 245253. Let w = k + t. What is w rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**7\/840 + r**6\/80 - r**4\/6 + 2*r**3 - 69*r. Let f(x) be the third derivative of q(x). Factor f(o).\nAnswer: -3*o*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 5*g + 2. Suppose 0 = 2*c - 67 + 17. Let a = c - 68. Let k be 2\/9 - a\/9. Determine b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42 - 41)*5\/(-15). Which is the third biggest value? (a) q (b) -0.9 (c) 15 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -30\/37 (c) 4 (d) -1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.9 - 13. Suppose -2*k - 3*g + 267 = 0, 2*g + 203 = -5*k + 843. Let r be k\/33 + (-24)\/(-132). Which is the closest to -1? (a) 2 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**2\/2 + 15*j - 3676. Calculate n(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g - 93. Let o(y) = -8*y - 37. Calculate -2*l(s) + 5*o(s).\nAnswer: -8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:29 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**5*p**3 + 6*a**4*p**3 - 18*a**2*p**3 + 3*p**3 wrt a.\nAnswer: 480*a**2*p**3 + 144*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3132012 (base 4) to base 7\nAnswer: -56304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/5 - 7*s**3 - 213*s**2\/5 + 791*s\/5 + 1274 = 0.\nAnswer: -26, -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21806 + 50100. What are the prime factors of t?\nAnswer: 2, 7, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 + 10737512*q**2 + 21475018*q + 10737508 = 0. What is q?\nAnswer: -5368754, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 7*v + 3. Let c be s(7). Factor 0 + 0 + c*r**2 - 8*r + 5*r.\nAnswer: 3*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 + 174. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 2*w - 2*w)*(1 + 1 - 1) + 4*w - 6*w + w)*(-59 + 8 + 14 + (-4 + 6 - 3)*(5 + 0 - 4)).\nAnswer: 76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o - 23*o - 461 + 340 + 105 + 6*o**2 - 5*o.\nAnswer: 6*o**2 - 42*o - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, x: 1, c: 1, p: 1}. Give prob of sequence pm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - h - 9 = 55, 5*h = -3*c + 58. Let f = c - 7. Let w = 13 + f. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 54 and -412.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -826*(-63)\/5733 + 2\/(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.522 - -30682645.95?\nAnswer: 30682648.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4\/6 + 415*w**3\/2 + 32625*w**2\/2 + 643365*w\/2 - 6585030 = 0.\nAnswer: -87, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**5\/30 + r**2\/2 + 1. Let s(j) be the second derivative of v(j). Let a(x) = 3*x**2. Calculate a(s(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10020, -3410, 14530, 49464, 107056, 192970?\n\"Answer: 944*i**3 + i**2 - i - 10964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15937421*n**2 - 2941204*n - 2?\nAnswer: -31874842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11393 is divided by 5453.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 82. Is (16015\/q)\/(2\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**0))**(5\/18)*(m*(m**1*m)\/m)**(-17) assuming m is positive.\nAnswer: m**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/11, -0.19, 45, -0.3, 125\/6, -0.11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/12 + m**3\/6 + m**2 - 2*m. Let v be d(-7). Suppose -3*r + v = r. What is the highest common factor of 44 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {g: 2, m: 5, a: 3, r: 1, y: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/7 + 10*r - 72\/7 = 0.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/713 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -10. Let q = o - 16.0000052. What is q rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*63.746\nAnswer: -382.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -3. Let n be (-81)\/72 - -1*1. Which is the closest to 2? (a) n (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 173753850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3 - 1819*o**2 - 1604*o.\nAnswer: -12*o - 3638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 11*c - 9. Let f(h) = -h**2 + 4*h + 3. Suppose o + 0*o = 4. Let p(v) = o*j(v) + 11*f(v). What is p(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -31?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 1. Let z = k - 1. What are the prime factors of 2\/(-8) + 25\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 3, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7221576\/13 or 555506?\nAnswer: 7221576\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 68.739um?\nAnswer: 0.0068739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1 + -1*sqrt(1584) - sqrt(1584)) - (-2*sqrt(1584) + -1 + 5*(-1*sqrt(1584) + sqrt(1584))))*2)**2.\nAnswer: 3072*sqrt(11) + 405568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8014054*k**4 - 326715*k.\nAnswer: -96168648*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 7 - 1) + 148.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 657826822*h**2 - 2148247*h - 74 wrt h.\nAnswer: 1315653644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -658*n**2 + 4*n - 21. Let t(h) = -1314*h**2 + 7*h - 37. Determine 4*t(v) - 7*w(v).\nAnswer: -650*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/10, 43201, 0, -2\/7, 0.2?\nAnswer: 43201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, 14, 45, 88, 143, 210?\n\"Answer: 6*l**2 + l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i**3 - 6*i**2 + i + 12. Let m(t) = -t**3 - t**2 - 10. Calculate j(d) - 7*m(d).\nAnswer: -3*d**3 + d**2 + d + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 19*l - 37. Let g be c(-21). What is the third smallest value in -3\/5, -14, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.431 + -39.451. What is the second biggest value in s, 0.5, -6, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twswjjwwsstswwj. Give prob of picking 1 w and 3 j.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -0.2 (c) -437 (d) -0.3 (e) -8\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 3, h: 1, c: 2, y: 1}. What is prob of picking 1 w, 1 y, and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t + t. Suppose -5*v + 151 + 494 = t. What is the greatest common divisor of v and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -g - 7*o + 981692, 4*g = 3*o + 3926747. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15239 or -106668\/7?\nAnswer: -106668\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:27 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 216 = -3*a. List the prime factors of (a\/(-10))\/(3 - (-208)\/(-70)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -25. Suppose -5*g + 25 = -5*s, -g + 2*s = w*g - 15. Suppose -5*t - 6 + 40 = -2*u, g*t - 43 = -u. Calculate the lowest common multiple of t and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/152 and -93\/1864.\nAnswer: 35416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2126 + -3?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + 3*w**4 - 2*w**3 + (-4*w**4 + 0*w**4 + 2*w**4)*(63 - 346 - 139).\nAnswer: 847*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + 250 = 48*j. Calculate the lowest common multiple of j and 1383.\nAnswer: 13830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381603806 to the power of 1\/2, to the nearest integer?\nAnswer: 37170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -321 + 346. What is the remainder when 45 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 3 - 9 + 7*q.\nAnswer: 5*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 704 (base 8) to base 2\nAnswer: 111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9026 is divided by 393.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from dymdntadtaaynma.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*p + 65*p = 257*p. Solve -557*f + 549*f - 8 = p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34175499710 and 0.8.\nAnswer: -34175499709.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 738.124 to 0 dps.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19348 + -12927. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v**3 - 2*v**2 - 2*v. Let s(n) = 44*n**3 + 11*n**2 + 11*n. Calculate 11*r(q) + 2*s(q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3)*(-45)\/20. Let x(z) = 1. Let f(q) = -q - 1. Let n(g) = f(g) + 6*x(g). Let c be n(4). Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10180245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/t**(-3\/5))\/t*t)*t\/t**(-2\/43)*t*t)\/((((t**(1\/10)\/t*t)\/t)\/t*t)\/(t**(1\/19)*t)))**(-21) assuming t is positive.\nAnswer: t**(-583191\/8170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62080 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-21))\/(1\/(-3641)). Let t = 521 - j. Let p = -158 + 152. Which is the biggest value? (a) p (b) -5 (c) -3\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, 8996, 0.13, -3\/7, 0.4 in descending order.\nAnswer: 8996, 3, 0.4, 0.13, -3\/7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2080881.82 and -0.223055.\nAnswer: -2080882.043055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124810\/(-42)*(-66)\/55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 189*m + 192*m = 93, 23 = o + m for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/8? (a) -1 (b) 10 (c) -5 (d) -356.6 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 46 = 4 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162184801667\/19690 + 90605655\/11. Let w = a + -4\/895. Find the common denominator of -13\/14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 264, 337?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 + 174. Solve 0 = h + k - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0\/3 + 3. Suppose q*l + 6 = 4*l. Solve -4*a + 31 = -3*u + l*u, 0 = -a - 4*u + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c**2 - 6*c + 2. Let p be t(6). Suppose p = 4*j + 2*w, 3*j = -3*w - 1 - 2. Suppose j*d = -2*d + 40. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/31 (b) -2\/3 (c) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:16 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102599947\/5 at least as big as 20519989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83 in -0.4, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 77109 = -32*t + 29*t, -2*a = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(9) + -3*(2*sqrt(9) - sqrt(9)))\/(sqrt(24)\/(sqrt(32) - sqrt(8))) + (sqrt(432)*-2 - sqrt(432)) + 2 + -5))**2.\nAnswer: 2052*sqrt(3) + 39069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -114. Let z(b) = -b**3 + b**2 + 6*b - 6. Let v be z(3). What is the remainder when j is divided by 23\/v*-2 + 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 8. Suppose -65 - 115 = -4*l. Suppose 4*u + l = -u. Let c be r(u). Which is bigger: c or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423587769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 16*y + 76. What is the remainder when 88 is divided by d(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*n*t**2*u**2 + 49*n*t**2*u - 89*t**2*u**2 - 210*t**2 - 33*t*u**2 - 337*t*u wrt u?\nAnswer: 198*n*t**2 - 178*t**2 - 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1, -4490 in increasing order.\nAnswer: -4490, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 8*c + 8626 = 4*c. Is c != 458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3 - 13560*c**2 - 13562*c = 0.\nAnswer: -1, 0, 6781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i + 6. Let w(h) = -16*h**2. Calculate w(l(p)).\nAnswer: -1296*p**2 + 1728*p - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1216?\nAnswer: -1\/1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8835 is divided by 174.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 965682 from -31318.317.\nAnswer: -997000.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8539, 17075, 25611, 34147, 42683?\n\"Answer: 8536*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368334448?\nAnswer: 2, 23020903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7 - 1 - 4*i**3 + 5*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -13*k + 15*k. Let j(l) = l**2 + 15*l + 32. Let f be j(k). Suppose f*n - 28 = -n. Solve n*m - 8*m + 3*h = -13, -4*m - 2 = 2*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1)\/sqrt(10) + (sqrt(19) - sqrt(19)*-1*-6).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Suppose i - z = 0, v = 2*i - 3 - 5. Is 1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - y, 4*z + 0*y - 3*y - 9 = 0. Let n be (z + 14\/(-4))*-6. Suppose -19 = 2*g - n*g. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 15*r - 18*r - 87*r - 57*r.\nAnswer: -173*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -259, 0 in ascending order.\nAnswer: -259, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -188*w - 993. Determine i(-4).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 9, w: 6}. Give prob of picking 1 o and 1 w.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 1\/12*f**4 - 9\/2*f**2 - 7*f - 1\/6*f**3 + 0. What is the remainder when j(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*z - 9. Suppose 0 = -11*r + 16*r - 240. Suppose g + r = z*g. 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 46729590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -124854577?\nAnswer: -124854575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -11*f**7\/105 - f**3\/2 + 3*f**2 - 19. Let t(b) be the second derivative of a(b). Find the first derivative of t(n) wrt n.\nAnswer: -88*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8 - 12 - 2*j + 4. Let r(h) = -2*h**2. What is r(v(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12455 - -12498. Suppose 0 = -0*b - b + 88. Let p = a + b. List the prime factors of p.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -25*11\/110*29674\/(-5)?\nAnswer: 37, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4362, -8565, -12764, -16959?\n\"Answer: 2*m**2 - 4209*m - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 239 - 3\/5*q**5 + 6*q**2 - 3*q**3 - 3*q**4 + 12*q. Factor j(d).\nAnswer: -3*(d - 1)*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229586153 less than -0.83408?\nAnswer: -2229586153.83408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 18624?\nAnswer: -18624.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12858797?\nAnswer: 7, 1836971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 297 - 198. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-4 - (-2)\/3) + 3). What is the derivative of 10*b**k + 8 - 3*b - 28 - 50 wrt b?\nAnswer: 30*b**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2790 + 5*n**3 + 0*n**3 + 192 - 396.\nAnswer: 5*n**3 - 2994","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/255 - (-186)\/45. Suppose 48*m + 6*m**4 - 3*m**2 - 5*m**3 - 36 - 3*m**t + 0*m**4 - 7*m**3 = 0. Calculate m.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*w**3 - 40\/7*w - 48\/7 - 11\/7*w**2 = 0. What is w?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stdttdl. What is prob of picking 1 s and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.86 and -0.1275.\nAnswer: 0.7325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759444551?\nAnswer: 499, 5529949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -120. Let a = 31 - t. Let l = 0.08 + 0.42. What is the closest to 1\/4 in -1\/5, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37933*2\nAnswer: 75866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssrrss. Give prob of sequence ssrs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (38 - -10)*(-26)\/(-8). Calculate the highest common divisor of 338 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, -3, -0.4, 1029?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.5 (b) 45468 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*n + 4*f + 280, 4*f - 1131 = n - 1106 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - u = -15, -2*u + 6 = -22*n + 20*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 = 47. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.54? (a) -3.7 (b) 0 (c) -296\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 + 2*h**3\/3 - 2*h**2 + 30*h. Let a be t(0). What is the closest to 0.1 in -0.4, a, 0.076?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j - 1. Let z(n) = 2*n**2 + 167094. What is z(y(v))?\nAnswer: 242*v**2 + 44*v + 167096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 404*l - 806. Calculate a(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*f = 5*b + 68, 3*b + 28 = 2*f. Let p = b - -17. Let v(u) = -54*u - 63*u + 116*u - 2. Calculate v(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2292 divided by 764\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 89, 281, 653, 1265, 2177, 3449?\nAnswer: 5141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 9\/4*j**3 + 9\/20*j**5 + 12*j**2 - 111\/16*j**4 - 9*j - 110 + 5\/8*j**6. Determine f, given that i(f) = 0.\nAnswer: -3, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 10) to base 4.\nAnswer: -11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -6*q + 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 35248.12.\nAnswer: -422977.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50927580, 101855159, 152782738, 203710317, 254637896, 305565475?\n\"Answer: 50927579*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 97656*g - 97662. What is w(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -319, -328, -351, -394, -463?\n\"Answer: -f**3 - f**2 + f - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.673317 hours in weeks?\nAnswer: 0.414722125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 7 = -2*h, -22*c - 6 = 3*h - 21*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4451814899 and 5.6?\nAnswer: 4451814893.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -1042, -1543, -2012, -2437?\nAnswer: -2806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c + 2*t = -84, 2*t - 36 = -2*c. Solve 4*k + 0*k = c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Let x(k) = 2*k + 0*k**2 + 0*k + 17 - k**3 + 4*k**2 + 3*k - 16. Let r be x(o). Solve u = -3 - r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79165*0.2\nAnswer: -15833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:29 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 61282, 241, -2 in descending order.\nAnswer: 61282, 241, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*v**2 + 20*v**2 + 34*v**2)*(355 + 582 + 209 + 544 + 371).\nAnswer: -51525*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + h + 2*h = -5, 2*w - 2*h + 2 = 0. What are the prime factors of (-3 + 5 - w) + 511?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1053 = 8*w - 1723. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022331 - -11?\nAnswer: 2023002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, n: 2, k: 5, q: 3}. What is prob of picking 2 h and 1 k?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 2\/3, -2, 1, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18806, -37486, -56030, -74438, -92710?\n\"Answer: 68*o**2 - 18884*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 533689?\nAnswer: 6404268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-6)\/15*-10 - -46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0578, -2\/21, 1?\nAnswer: -0.0578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 4*p**2 + 3*p**2)*(-46*p + 10*p**2 + 46*p) - p**4 + 0*p**2 + 1 + 0*p**2.\nAnswer: 29*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m + 5*m)*(-2*m**2 + 0*m**2 + 3*m**2).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 4:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 39193\nAnswer: -12\/3563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11220 and 66504.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200996 or -200991?\nAnswer: -200996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-51)\/136 + (-1 + -3 - (-305)\/(-40)). Put -2, 2, h, 0, 4 in descending order.\nAnswer: 4, 2, 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39295727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 5*x - 15. Let c be h(4). Let b(l) = 2*l**2 - 2*l - 4. Let p(n) = -n**2 + 1. Calculate c*p(k) - b(k).\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 3678.\nAnswer: 18390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 8. Let k(l) = 2*l + 5. Let b(z) = -8*k(z) + 5*p(z). Let c(f) = -f. Calculate 4*b(o) - 5*c(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 120 and -715.448.\nAnswer: -85853.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*h + 46. Calculate the remainder when h is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -16*t**5\/35 + 344*t**4\/3 - 2402*t**3\/21 + 300*t**2\/7 + 407*t. Factor l(f).\nAnswer: -4*(f - 150)*(4*f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -23431422?\nAnswer: -23432001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 131828.1464 to the nearest integer.\nAnswer: 131828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 4, p: 2, t: 2, k: 3}. Give prob of sequence vc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436215377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddndjjdjd. What is prob of sequence ddn?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7267+-3439.173\nAnswer: -10706.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*30.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -162*r**3 - 9*r**2 - 16*r + 18. Calculate k(1).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*m**2 + 196*m**2 + 197*m**2 - 589*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(252) + -2*sqrt(252) + 0) - (3 + ((sqrt(252) + 4)*-5 - sqrt(252))))*-4)**2.\nAnswer: 22848*sqrt(7) + 202192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*l = -463*l - 2752 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (31 - ((1 - 1) + -26 + 44))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/4 - -2) + 0. Let n = -2.5 - -1.1. Let r = 0.4 + n. Which is the closest to d? (a) r (b) 1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 6 + 2*v**2 + 6 to the form r*v + t + y*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -46*l - 314. Let t be h(-7). Suppose 7*g = 2*g. Suppose -t*a + 4*a + 1788 = g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463822 at most -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2\/3)\/(12\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 615996504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**4 + 1770*s**3 + 41505*s**2 - 1531070*s - 1570800 = 0.\nAnswer: -40, -1, 21, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 - 74*w**2\/7 + 2*w\/7 + 74\/7.\nAnswer: -2*(w - 1)*(w + 1)*(w + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5122 is divided by 256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t - 2. Let s(h) = -h**2 + 2*h + 2. Give 6*d(w) + 5*s(w).\nAnswer: w**2 + 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1400.112us?\nAnswer: 0.000000002315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 17*g - 16. Let h be u(7). Suppose 4*v = h + 23. Let f(x) = -v + 17*x - 32*x + 13*x. What is f(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10502*w**4 - 13*w**2 + 64407*w wrt w.\nAnswer: 126024*w**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 + 200. Suppose -3*n + 14 = -28. Suppose 3*v + 2*v + 2*r - n = 0, -4*v = 3*r - 14. Sort v, -1, o.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83*(-6)\/(-18)*6\/(-208) and 37\/5?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-12) + 57703\/228. Let n = d + -346. Is n >= -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 12*t**2 + 10*t**2 + 7*t**2.\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(684)*-1 - sqrt(684))**2 - sqrt(684)).\nAnswer: -6*sqrt(19) + 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 29. Let t(z) = z**3 + 5*z**2 + 5*z + 3. Let y be t(-3). Is ((-9)\/y)\/(o\/(-68)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 159*o**3 + 43*o**3.\nAnswer: 202*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 8*s - 1. Let o(q) = q**2 - 7*q. Let k(c) = -3*o(c) - 2*v(c). Let m be k(5). List the prime factors of 595\/28 + m\/(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(5\/3)*k**2*k*k*(k**(-1))**(1\/21)*(k\/(k\/k**(1\/3)))\/k*((k\/(k\/(k**(-6)*k)))\/k)\/k*(k*(k\/k**(-2\/7))\/k)\/(k**(2\/5)\/k) assuming k is positive.\nAnswer: k**(-17\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42142.\nAnswer: 2, 19, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 4*t + 4*t)*(-2*t - t + 4*t) + 8 - 8 - 2*t**2 + (0*t + 3*t - 5*t)*(-7*t + 2*t + 11*t) as c*t**2 + k + m*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24449803 or 24449800?\nAnswer: 24449800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -165, -168, -185, -222, -285, -380, -513?\n\"Answer: -d**3 - d**2 + 7*d - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1730 - -3688. What is the highest common divisor of b and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**7\/4095 + i**6\/1560 - i**5\/780 - 25*i**4\/12 - 52*i. Let y(t) be the third derivative of d(t). Factor y(k).\nAnswer: 2*(k + 1)*(4*k - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12969 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 85392.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-2) + (-10)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 6. Let j be t(-3). What is the common denominator of -36\/7 and 1*(-2)\/(-3) + j\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174113 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 183? (a) 6 (b) -1.7 (c) 0 (d) 1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4. Let c = 4 + a. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 759457, 1518915, 2278373?\n\"Answer: 759458*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 202 = -0*p + 5*p, 3*f - 586 = -5*p. Calculate the remainder when f is divided by 99.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/10881 and -23\/8424.\nAnswer: 261144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115367145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 9. Suppose -3*z = -k*z. Let g(j) = -j + 35. Is 14 a factor of g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80097471 to the power of 1\/2, to the nearest integer?\nAnswer: 8950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 2. Let r be ((-14)\/(-4) - 3)*(6 + 0). What is v(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759081257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of (-12)\/(-15) + 297312\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 1\/4, -0.4, -37, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i + 3 + 5*i**2 - 6*i**2 + 2*i**2. Let g be s(18). Solve 2*f - f = -2*h + 5, 0 = -3*h - g*f + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 10*p - 1. What is m(7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 769*b**3\/6 - 9*b**2 + 8*b + 18. What is the derivative of r(u) wrt u?\nAnswer: 769","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7288000 to the nearest 100000.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v - 1. Let t(y) = y**3 + 4*y**2 + 6*y - 36. Determine t(s) + 6*z(s).\nAnswer: s**3 - 2*s**2 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -d - d. Suppose -d = 2*u - 4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*v + 43, -3*a - 35 = -2*v - 1. Let b be ((-200)\/a + -4)*36\/3. Which is bigger: 151 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 101658\nAnswer: 1\/33886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u**(-2)\/u))\/(u\/u**(1\/3)))**(-19) assuming u is positive.\nAnswer: u**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22121 (base 6) in base 7?\nAnswer: -11650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368802.\nAnswer: 2, 3, 7, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 282141493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avaa when four letters picked without replacement from {v: 1, x: 2, w: 3, a: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 + 42 = 0. Suppose 3*i + 2*d + 3 - m = 0, -5*d - 7 = 2*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j = 9*j - 35*j - 1482 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 9:37 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - 21*a + 24. Let y be o(1). Is y at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19169, 38340, 57511, 76682, 95853?\nAnswer: 115024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/7493?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s - 28. Let h be j(-3). Suppose -4*g - g - k = -2847, 0 = -h*k - 6. Suppose -5*i - i + g = 0. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.5, -23, -4.9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l = 10*l - 456. Solve 4*m - x - 16 = 0, x = -3*m + 3*x + l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 3*x**2 - 11*x + 12. Let y(j) = -j + 8. Let g be y(0). Let w be l(g). Suppose 4116 - w = -6*v. Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2631 + -2508.9. Round n to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 332*g**6 - g**5 + 460*g**2 + 3*g - 3. Let z(h) = 5*h**6 + h - 1. Let s(n) = -a(n) + 3*z(n). Find the third derivative of s(w) wrt w.\nAnswer: -38040*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.10862 + 0.03415. Round v to 3 decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -23. Let a be -5 + t - 6*1. Let z be -3*(19\/a + 3). Calculate the highest common factor of z and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = i - 12, 5*i + 3*k - 2 - 4 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 49*g - 6*g**4 - 160*g + 59*g + 67*g to the form k + n*g**4 + z*g**2 + a*g**3 + m*g and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 6) to base 3\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 4. Let f = a + -1. Let w = -1 + f. Sort w, 2, 4 in ascending order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*w + 3*a, a + 54 = -w + 56 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let h = -39129 + 5282416\/135. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 230?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a - 18 = 0. Calculate the greatest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(2*h + 3 - 3)*(-28*h**2 + 13 - 25 + 13 - h).\nAnswer: 168*h**3 + 6*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - i = -46, -2042*a + 2045*a = 4*i - 14 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144270.\nAnswer: 2, 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a31 (base 11) to base 8.\nAnswer: 31647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013145 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 13*l - 12. Let t be q(14). Let n(k) = k**3 - 4*k**2 + 3*k - 1. What is n(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 2971 - 4589. Suppose 124 = -4*n + u. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.75 to zero dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*m + 12568 - 12523 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b + 4 - 4 + (-4 - 3 + 2)*(-6*b - 2*b + b) + 2*b - 3 + 3.\nAnswer: 43*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 790 and 1185.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 27 = 3*p, 4*h - 17*p = -14*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 735538482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -734 + 714.85. Let x = w - -19. Let u = x + 0.1500018. Round u to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/((-3)\/3). Solve k = 3*y - 3*w + 30, 0 = -3*w + 9 + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let c(k) be the second derivative of 0*k**2 + 5\/12*k**4 + 0*k**3 + 0 - 14*k. Determine t(c(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*m - 55 - 12, 2*m - 2*h = 28. Let y = 33 - m. Calculate the remainder when 48 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 7:42 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12835 divided by -2567?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187657.\nAnswer: 7, 43, 61, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.97 + 8. Let j = 0.26 + m. Let p = -4.71 - j. Which is the third biggest value? (a) p (b) 5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -59. Let f(h) = h + 1. Let i(s) be the second derivative of s - 1\/6*s**3 + 1\/2*s**2 + 0. Determine u*i(g) - f(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let f(b) = b**3 - b**2 - b**2 - b - 3 + 4*b. List the prime factors of f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0 (c) 0.1 (d) 61.93 (e) 0.004 (f) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*y - 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -6. Let f = 8 + c. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 2, 5\/13, -7, 170?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 2*k + 48, 4*k = -2*x + 24. Suppose 2*p + p = -4*o - 10, -3*p = -3*o - x. Let r be p - 0*(-3)\/(-6). Is r equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -121*n**3 - 11*n**2 - 113*n + 191. What is the thousands digit of s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -21\/4430975?\nAnswer: -21\/4430975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 1.94. Suppose 5*i + l = 25, 4*i - 5*l + 9 = -0. Let o be i - 3\/((-48)\/(-68)). Which is the nearest to o? (a) 0.3 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2051 + 27*n + 312 + 1739.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 43, 83, 157, 277, 455?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*i + 2, 0 = 2*z - 2*i + 3*i - 1. Let n = z - 1. Let x(o) = -74 + 6*o + 74. Determine x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 7546500?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 2*k**2 - k**2 + 2*k**2. Let f(l) = -l. What is v(f(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n + 175*n + 175*n - 63*n - 7.\nAnswer: 255*n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3*t. Let y be q(-3). Find the second derivative of y*j**2 + 4*j + j**2 - j - 5*j wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185)\/20 - -8 - 35\/(-60).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 528*p**2 - 3633*p - 7347. Calculate l(521).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9151 = 3*a - 4*a. Let q = a - -451. What is q rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18468 + 306*o**3 + 9236 + 9232 - 300*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823583364 to the power of 1\/2, to the nearest integer?\nAnswer: 53137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 6. Let d be x(-4). Let a(g) = -g - 1. Let q be a(d). Let t(n) be the third derivative of -13*n**4\/24 + n**3\/6 - n**2. Determine t(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 4*t**2 - 4*t + 1. Let d be p(5). Let v be (-253)\/(-46) - d\/4. Let 30*k**3 - 8*k**3 + 32*k - 48*k**2 + 2*k**3 - 4*k**v = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284*b**3 + 275*b**3 + 1 - 2*b**2 + 0*b + 0*b to p*b**3 + w + j*b**2 + k*b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150 + 1270 + 600)*(-4 - f**2 + 4 + 1 + 2*f) as n*f + m + v*f**2 and give n.\nAnswer: 3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25093.8mg in kilograms?\nAnswer: 0.0250938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 49144095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 v when four letters picked without replacement from {t: 5, v: 15}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1539)*2*1 - sqrt(1539)) + 5.\nAnswer: 2 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -14. Let z(i) be the first derivative of 1 + 0*i**2 + 2\/9*i**3 + c*i. Factor z(r).\nAnswer: 2*r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2 - 27*d**3 + 11*d**3 + 43 + 15*d**3 wrt d?\nAnswer: -3*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -3*y - 9, 2*q = -3*y. Suppose z - h + q = h, -4*z = -h - 9. What is the highest common divisor of 21 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/7 - 821*g**2 + 23072*g - 161700 = 0. Calculate g.\nAnswer: -5775, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 515, -4, 3, 47, 1, -3 in ascending order.\nAnswer: -4, -3, 1, 3, 13, 47, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {h: 1, n: 5, p: 5, k: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -15. Suppose 4*q = 5 + x. What is the units digit of (-11)\/(-2) + 1\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38361.94ml to litres.\nAnswer: 38.36194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4 + 31*b - 55*b + 25*b. Let a be d(-4). Solve a = 4*n - 25 + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 13*d**2 + 135*d + 1399. What is m(-12)?\nAnswer: 1363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26326 - 131097\/5. Let j = 107 - d. Which is the third biggest value? (a) -4 (b) 0.19 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*5)\/sqrt(11) + -3 + sqrt(11) + sqrt(11) + (sqrt(44)\/sqrt(4) - sqrt(11)))**2.\nAnswer: -42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.043093988146773 and 0.1.\nAnswer: 0.143093988146773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50780, 99884, 148988, 198092, 247196?\n\"Answer: 49104*o + 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -61.516, 11, 1\/4 in ascending order.\nAnswer: -61.516, -39, 1\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-4)\/2) + -4. Let y be (0 - f)\/(1\/4). Solve y - 14 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44630385.2 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -15, -3\/7, -2\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 1804, 4068, 7230, 11284, 16224, 22044?\nAnswer: 28738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468130 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -12*k - 20000. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/6 - 0. Which is the nearest to -1? (a) u (b) -3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvctkcvcvuux. Give prob of sequence tck.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126.2 - -126. Let t be (-2)\/(-6) + 174\/(-63). Let l = -71\/35 - t. Is l at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - c + (0*c - 3*c + c)*(-455 + 33 + 12))*(c + 2*c + 2*c).\nAnswer: 4095*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24\/432 - 23831\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-2\/19)))\/(o\/o**(-7)*o))**14 assuming o is positive.\nAnswer: o**(-2366\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0125 + -4.0125. Which is the third smallest value? (a) 3 (b) w (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f + 2*f**2 - 4*f + 4*f**2 - f**2 - f**2 + (2 - 2 - f)*(-2*f + 2*f + f) + (-1011 + 1011 - 27*f)*(5 - 5 + f).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101100001100111010001 (base 2) in base 9?\nAnswer: 24408528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1302 times 0.85351\nAnswer: -0.111127002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 - 5\/(-2). Let h be (12\/2)\/b + -1. Does 6 divide h*(-3 - -2) - -19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -217, -815, -2009, -3997, -6977?\nAnswer: -11147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 2 - -2 - -1. Suppose d*k - o - 2*o - 179 = 0, 9 = -3*o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 205*p**3 + 14*p**2 + 19. Let l(k) = -105*k**3 - 8*k**2 - 10. Give -7*l(h) - 4*y(h).\nAnswer: -85*h**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q - 7 - 4 - q**2 + 5. Let a be m(8). What are the prime factors of 13 + -2 + a + -3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76529 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290605737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 2, 113 in descending order.\nAnswer: 113, 2, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4800 is divided by 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen halves of a gram?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*r - 29 = 61, 3*v - 2*r - 54 = 0. Suppose 0 = y - 5*p - v, -3*y + 2*p = 2*y - 21. Solve 20 = -z + 3*d, -d - 2*d = y*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213.35550413 - 35.64448357. Let d = x - -249. What is d rounded to seven dps?\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -4 - 1) + -23 - 1. Let x be (t - -19)*8\/(-6). Which is smaller: x or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1275611 divided by -2\nAnswer: -1275611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70777.\nAnswer: 7, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9353*y - 13. Let i be x(2). Suppose -3*s = 5*t + 18675, 0 = -3*s - 0*t + t - i. Round s to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/3 + 25*j**2\/3 + 68*j\/3 + 44\/3 = 0?\nAnswer: -22, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/((-152)\/(-5664736)*385)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 74164*x\/5 + 74162\/5.\nAnswer: 2*(x - 37081)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1641863*u**3*z**3 - 4*u**3*z + 1079*u**2*z**3 + 63*u**2*z + 4*u*z**2 wrt u.\nAnswer: -9851178*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379971351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhxs when four letters picked without replacement from xshihxisxshsxhohhh.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:55 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5677.013 meters?\nAnswer: 5677013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6*d**2 + 5 + 3*d**2 + 0.\nAnswer: -3*d**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1236)\/(-4) + 1 + 36\/(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 21 + n**2 - 21.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101154 (base 7) to base 2\nAnswer: 100000111011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 25 = 4*s, -170*j - 5 = -2*s - 169*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 - 23*i + 117. Let d be t(-9). What is the nearest to 10\/9 in -1, d, 1.9, -2?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0857 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5505, -11010, -16513, -22014, -27513, -33010?\nAnswer: -38505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18412863*p**3 + 11132607*p wrt p.\nAnswer: 110477178*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202388839?\nAnswer: 202388839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.21 - 18. Let q = y - -10.79. Let t = -6 + q. Sort 4\/5, t, -4\/3 in decreasing order.\nAnswer: t, 4\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 42 - 5*p**2 + 5\/3*p**3 + 0*p. Factor y(q).\nAnswer: 5*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 17. Let t(d) = 2*d + 8. Let h(g) = 9*t(g) + 4*x(g). Let p(o) = o + 2. Suppose -v = 3*v - 48. Let w = -7 + v. Give w*p(j) - 2*h(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10006 (base 10) to base 13\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 97*i**2 - 99*i + 113. Let n be r(98). Calculate the greatest common divisor of 2715 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2745 - 2728. Sort 8, -2, c.\nAnswer: -2, 8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 7*j**2 - 17*j - 4. Let s be r(9). Solve 12*f**3 - 247*f**4 + 255*f**4 - 16*f + 0*f**s - 4*f**5 - 16*f**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109900000 divided by 2747500?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*529.3\nAnswer: 137.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-42)\/9 + 2)\/(1210\/34485).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**6\/75 - 13*q**5\/50 + 11*q**4\/10 - 31*q**3\/15 + 2*q**2 + 8*q + 2. Solve p(w) = 0 for w.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 40*o**2 - 42*o**2 - 134 + 684 - 89.\nAnswer: -2*o**2 + 472","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -3*(2 + sqrt(2057)))**2.\nAnswer: 396*sqrt(17) + 18549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y - 76 = 38*y. Let j(m) = 13*m + 5. Give j(y).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5625277 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/((-6 + 3)\/6). Let h be (4\/u + -5)*(-6)\/14. Determine o so that -21\/4*o - h - 3\/4*o**3 - 15\/4*o**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*i)*(34 + 24 + 13).\nAnswer: -213*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) + 34*29. Let i = -20695\/21 + y. Find the common denominator of i and 71\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.2, -10\/3, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.4, -4.1, -0.6, 0.\nAnswer: -4.1, -0.6, -1\/5, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/3)\/((-1)\/(-3)). Let n = -6 + p. Let b = -1982 + 1979. What is the closest to 8\/3 in b, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 20, 4 in descending order.\nAnswer: 174, 20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 12*v + 12. Let n be d(-12). Let s(x) = x**2 - 3*x - 19. Is s(n) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 + 0 + (1 + 1)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + c + 2. Let q(h) = 10*h**2 - 101*h + 49*h - 11 + 47*h - 13*h**2 - 11*h**2. Give 11*p(j) + 2*q(j).\nAnswer: 5*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, e: 2, x: 3}. Give prob of picking 1 e and 3 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5\/3*a**3 + 5\/3*a**2 - 25\/3*a = 0. What is a?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10931 = -q + b - 6*b, 4*q = -2*b + 43832. What are the prime factors of q?\nAnswer: 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383934 is divided by 4128?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 4, 126455.18?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020565305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, x: 1, y: 5, d: 4, j: 1}. What is prob of picking 1 q and 1 x?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -268 + 268 + 21*g - 2 + 2 + 2*g + 3*g + 3*g - 4*g + 0*g - g - g + (-g + g - 2*g)*(0 - 3 + 1) - 2*g + 0*g + g - 2*g + 4*g - 3*g.\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 5055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z + 132 + 26076621*z**2 - 26076622*z**2 + 19*z)*(2 - 2 - 2*z).\nAnswer: 2*z**3 - 64*z**2 - 264*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 36*g**2 - 35*g + 51. What is the units digit of a(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80, -96, -122, -158, -204, -260?\n\"Answer: -5*s**2 - s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.4637 and -0.0198?\nAnswer: -0.46458126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 2*x + 1. Let j be b(-2). Let z(g) = g**3 - 6*g**2 + 5*g + 3. Let q be z(j). What is the greatest common factor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 11) to base 12\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose b*p - d = -2*d - 7, -3*p + d - 8 = 0. What is the units digit of p\/2*(-2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w**2 + 5*w - 1. Let a(k) = -1. Let t(o) = 7*o**2 - 4*o + 7. Let y(h) = 6*a(h) + t(h). Let r(q) = -3*x(q) - 4*y(q). Calculate r(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(((-126)\/(-147))\/(640\/(-70))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46573 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 92 = -310. Let p = -107 + b. Suppose 0 = 2*r - 4*r - 4*z + 510, 3*z - 508 = -p*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18065 * -3\nAnswer: 54195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(-23*24\/(-276))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 0.02 (c) 1\/6 (d) 3\/236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3 - 5. Let g = f + -37. Let u = g - -43. Solve -u*w - 3*w = -25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.1001, -2\/19, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40117 divided by -11?\nAnswer: 3647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26152\/1401 + 2 + (-10)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3696*b**2 - 2*b - 1. Let u be a(-2). Suppose -4*x = 3*l + 651, 0*x - x = 2*l + 429. Let j = u - l. What is j rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0549 - 2.2289. Let o = n + 1.167. Round o to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24768*i + 24763*i - 32088*i**2 - 49531*i + 32087*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14063 + 43301. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/120 + s**5\/60 - s**4\/8 + s**3\/6 - 1625*s**2. Suppose 2*q - 4 = 4. Let w = q + -2. Give h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**3 - 3*f**2 - 85*f**3 + 173*f - 165*f wrt f.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {u: 2, h: 1, m: 1, p: 1, f: 1, i: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/5)*f*f\/f**(2\/23)*(f*f**(2\/9)*f)\/f**(1\/6) assuming f is positive.\nAnswer: f**(9043\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 65*q. Suppose 0 = 5*m - 21*m + 80. Let g(a) = 404 - 404 - m*a. Give -40*g(f) - 3*z(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 + 68*u\/13 + 578\/13.\nAnswer: 2*(u + 17)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y + 19*y - 353*y**2 - 43*y + 347*y**2 + 7.\nAnswer: -6*y**2 - 61*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 3 - (13 + -22)) + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 91620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + k + k)*(-4 + 6 + 2) + 10*k - 4*k - 4*k to q*k + i and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*r - 8*r + 15*r - 37*r**2 - 16*r + 2 - 15*r in the form i*r + b + s*r**2 and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221001121 (base 3) in base 10?\nAnswer: 37951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4399516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, 413, 1197, 2285, 3671, 5349, 7313?\n\"Answer: -w**3 + 161*w**2 - 2*w - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.1 - -18. Is -2\/5 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*w = -13 - 22, 4*w + 12 = 0. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1330 bigger than -1039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((h**2 - 3*h**2 + h**2)*(-2*h - h + 2*h) + 4*h**3 + 3*h**3 - 6*h**3)*(1158 + 760 - 148 + 245) to f*h + a + c*h**2 + k*h**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 + 8*m**2 + 2*m - 2. Let h(d) = -d**2 - d + 1. Let v(t) = 6*h(t) + 3*s(t). What is the third derivative of v(k) wrt k?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.3. Let u = -184 - -551. Let g = u + -367.1. Which is the nearest to g? (a) t (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 0*h**4 + 4*h**4 - 2*h**3 + 2*h**3 - 3*h**4 - 2*h**4 - 2*h**3 + 2*h**3 + (-5*h + 5*h - h**4)*(1 + 4 - 6).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 8\/(-4 + 0) + 1. Suppose 2*a = -t*z + 2666, 463 = -2*z + 4*a + 1791. List the prime factors of z.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(7) - sqrt(63)*-5 - -1*sqrt(252)) + (1 + sqrt(7))*3*-4))**2.\nAnswer: -3840*sqrt(7) + 13504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124270620 by 10.\nAnswer: -12427062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -13*v + 12*v + 3*j, 9 = v - 2*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100.6 + -99.8. Put v, -2\/11, -1, -2\/7 in descending order.\nAnswer: v, -2\/11, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 14*y + 62. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g + 62. Let f be y(-15). Solve -3*q - i = -3, 0 = 4*q + q - f*i - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381806751 a multiple of 3058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001187169 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*l**3 - 2*l - 1 + 19*l**3 - 53*l**3 to the form z*l**2 + u*l + y*l**3 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -43125707*z. Let r(u) = -3*u. What is q(r(b))?\nAnswer: 129377121*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(20\/(-2))*(-10)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 7*d + 35 = 3*b, -3*d + 5*b + 21 = 0. Let p be d + 1\/((-8)\/166456). What is p rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 330\/(-15) - (-2 - (-2 - -6)). Let q(k) = -k**3 - 15*k**2 + 21*k + 83. Let l be q(i). Factor -3\/2*c**2 + 9\/8*c**l + 0 + 7\/8*c**4 - 1\/2*c.\nAnswer: c*(c - 1)*(c + 2)*(7*c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -16, -2, -19, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3098*f - 3090*f = -48 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446268 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4516773 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: Let y = 36 - 15. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 241?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from vhhqhsg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/37)*r\/(r*r**(2\/21)) assuming r is positive.\nAnswer: r**(-116\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 279262 + 12?\nAnswer: 279274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007931529 to seven decimal places.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 1. Let u(n) = n**2. Determine t(u(c)).\nAnswer: -6*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*m - 702*m + 239*m - 1201*m**2 + 237*m.\nAnswer: -1201*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 less than 0.037?\nAnswer: -831.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -675067*y**6 + 814*y**2 + 64*y?\nAnswer: -81008040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1092*k. Let t(p) = 370*p**2 - 2. Give t(y(w)).\nAnswer: 441211680*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 458*l - 462*l. Suppose 19*h = -5 + l. Solve 3*i + 2*i = -h*t + 31, 0 = 3*i - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (4 - 4 - 2). Let l be (1\/d)\/(6\/(-18)). Let f be (-5)\/(1 - 6\/l). Solve -f*m = 3*y - 9, 3*y + y - 7 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**34\/f*f**(-6)*f assuming f is positive.\nAnswer: f**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + (7 - 3) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188828635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 173, 134, 39, -136, -415, -822, -1381, -2116?\n\"Answer: -4*f**3 - 4*f**2 + f + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-42)*(132\/726 + 279\/(-264))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 9) to base 4.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5084 divided by -4?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 3444?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-34)*(u*u**20\/u)\/u)\/(u**(-1\/9)\/u*u**(-4\/25)*u*u*u))**(-32) assuming u is positive.\nAnswer: u**(120448\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2927?\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.758833 weeks in minutes?\nAnswer: 88289.03664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(1 - 3 + 3)*(6 - 6 - 5*y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5*a - 3*a)*(-4 + 1 - 1 - 1 + 3 + 0 - 1 + 0 - 1 + (-2 + 3 + 0)*(4 - 2 + 0) + (1 + 1 - 1)*(2 - 6 + 3)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 942096631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Suppose x = -p*x + 56. What is the lowest common multiple of x and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522738 divided by -18?\nAnswer: -29041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 33*z - 1375. Calculate s(42).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 133 and -559452514.\nAnswer: -559452381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 18*a**2 + 49*a - 175. Let m be f(20). Solve 19*g - 9 = 18*g + 2*k, -m*k - 20 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2687*v - 2595*v = -644 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 423*v + 7091. Let k be y(-17). Put k, 0, 1 in increasing order.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/37027 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 8)*(2 - 2 - 2*r**5).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3415*s**3 - 3281*s**3 + 6688*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307965, -307964, -307963?\nAnswer: -307962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 divided by 1190?\nAnswer: 60\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 1. Let l(t) = -3*t + 8. Let s(i) = l(i) - 2*u(i). Let q be s(2). Let m = 1 + -1. Put q, m, -2\/11 in descending order.\nAnswer: q, m, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635391.\nAnswer: 3, 101, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -59. Let i be ((-48)\/(-420))\/(2\/v). Are 0.5 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**3 - 10*b**3 + 5*b**3)*(18*b + 6*b - 6*b) + (3*b**3 - 5*b**3 + 4*b**3)*(0*b - b + 3*b) in the form k + o*b + f*b**2 + u*b**3 + a*b**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2291 divide 446428842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.5 (c) 552764 (d) 5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.92 + -4. Let l = -0.08062 - a. What is l rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2682?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -d - 53. Is 6\/d*117768\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461 divided by -30681.\nAnswer: 461\/30681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*d - 646716, -9*d = -11*d + q + 323356. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (5*(sqrt(25)*-1 + sqrt(25)))\/(sqrt(5) + (sqrt(5) + sqrt(60)\/sqrt(3) - sqrt(5)))*-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h + 2. Suppose -2*r + 5 = -17. Let d(q) = 4*q + 1. Let y(l) = 48 - 2*l - l**2 + 23*l - 42. What is h*y(b) + r*d(b)?\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1616, -3230, -4844, -6458?\n\"Answer: -1614*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 178, 189, 216, 265, 342, 453?\n\"Answer: a**3 + 2*a**2 - 2*a + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/22036?\nAnswer: -5\/22036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.1 (b) 4 (c) -71 (d) 2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*2 - (sqrt(133)*2 - sqrt(133))*-4)\/(sqrt(56)\/(sqrt(128) + (sqrt(128) + (sqrt(128)*-3 - sqrt(128)) - sqrt(128)) + sqrt(128) + sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 2180617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {f: 3, o: 10, d: 4, t: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -144409040408 and 226.2.\nAnswer: -144409040181.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3))**(-33))**(-13\/2)*((a**(1\/2))**(2\/33))**(-30) assuming a is positive.\nAnswer: a**(-1593\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1550*p + 10855. Let y be j(-7). What is l in -5\/2 - 5\/2*l**2 - y*l = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6500 (base 7) in base 14?\nAnswer: ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p. Suppose 0*l - 4*g = 2*l - 116, -3*g = -2*l + 116. What is the remainder when l is divided by o(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)\/w)**(3\/35)\/(w\/(w\/(w\/(w*w**0)))*w*w**4) assuming w is positive.\nAnswer: w**(-128\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**5\/160 - j**4\/64 + j**3\/8 - 25*j**2\/2 - j + 41. Let a(q) be the second derivative of f(q). Determine t so that a(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 24. Determine m(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8879829 minutes to hours.\nAnswer: 0.014799715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 10*k**2 + 12*k - 22. Let u be o(9). Determine x so that x**4 - x**2 - 1\/2*x + 0 + 1\/2*x**u + 0*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 1.4. Let m = j - -1.1. Let z = 8 + -7.6. What is the nearest to -2 in z, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 2*l + 2. Let z be j(-2). Let x = 50\/119 - 12\/17. Sort -3\/2, z, x in descending order.\nAnswer: z, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + (-5 + -1*sqrt(75))**2.\nAnswer: 55*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6712*j**2 + 3493*j.\nAnswer: 13424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 4.5. Let k = -0.1 + 0.6. Let u = h + k. Which is the nearest to u? (a) -2\/19 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + -93. Let l(i) = -45*i - 60*i + 106*i + 1. Let g(z) = 3*z + 3. Give j*l(c) - 2*g(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.3? (a) -68 (b) 1\/3 (c) -2 (d) 2\/3 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10047392, 10047383, 10047368, 10047347?\nAnswer: 10047320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5024\/163 or 32?\nAnswer: 5024\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*x + 267 = 891. Let l(h) be the first derivative of 22\/9*h**2 - 4\/9*h**3 + 16\/9*h + x. Factor l(k).\nAnswer: -4*(k - 4)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r**3*v**3*x + 19*r**3*v**3 - 8*r**2*v**3*x - v**3 with respect to x.\nAnswer: 6*r**3*v**3 - 8*r**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2.2. Let n = -3.1 + 2.8. Let i = 0.2 + n. Which is the biggest value? (a) i (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3589*j - 3563*j = 650 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1205 divide 535686724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110010100000111011 + -1100?\nAnswer: 1011110010100000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 27. What is the remainder when 17 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512175\/414 - (-2)\/(-36).\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 1289240510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*q - 139, -5*q - 37 = 5*k + 188. Let p be (-4)\/16 - k\/(-4). Let i(o) = -o**3 - 12*o**2 - 14*o - 6. Is i(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 - (-11)\/9. Let j(k) = 34*k + 1. Let y be j(z). Suppose 0 = 2*h + 3*h - y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 52, 40, 24?\n\"Answer: -2*l**2 - 2*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/8 - 6) + 69\/2. Suppose 3*r = l + 5. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 10*f**2 + 6*f - 25. Let k be a(-9). Suppose 3*o - k*c = 67, -5*o - 10*c = -5*c - 120. Solve -u = 5*h - o, -2*h - u - 2*u + 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6979*o**4 + 51*o**3 + 916398*o?\nAnswer: -83748*o**2 + 306*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a - 9. Let y(s) = 51*s - 21*s - 13*s - 18*s. Determine w(y(k)).\nAnswer: 5*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8893 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - -111111100000001101010100?\nAnswer: 111111100000001100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 11*j**2 + 41*j + 259. Determine c(-7).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 95\/(-76) - (8 - 10)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 - 0.6. Let g = 0.43 + t. Let i = g + 0. What is the nearest to -0.1 in i, -1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15332*n**3 - 26913 wrt n?\nAnswer: 45996*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**6\/120 + r**5\/40 - r**4\/16 - r**3\/3 - r**2\/2 - r + 69. Solve o(x) = 0 for x.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.0647435 and -948669.\nAnswer: -948684.0647435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24705217633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164973003 and 14898.\nAnswer: 7449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.4 - -21.681. Let c = u + -29.981. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l + 10. Let z be h(-5). Suppose z = f - 3*f + 6. Let u(n) = -1 + 0*n + 7*n + f*n + 2. Give u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 3*r + 2. Let w be q(-1). Which is the second smallest value? (a) -0.5 (b) 2\/5 (c) w (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*p + 95 - 26, -4*w + 3*p = -93. Let q = 25 - w. Solve -8 = q*o - m, -2*m = -4*o + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*0.6\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*l**3 - 32*c*l**2 - 4*c*l + 243*c - 292559*l**3 - l**2 + 1 wrt l?\nAnswer: 6*c - 1755354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.7244 milliseconds in minutes?\nAnswer: 0.01117874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 926316 and 45744.\nAnswer: 3705264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 6*o + 2. Suppose 5*k - 8 - 22 = 0. Let y be r(k). Suppose -5*u = 3*f - 66 - 386, -y*f + 300 = 2*u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 10*y**3 + 3*y**2 - 5*y - 7 + 3. Let w be o(3). Let f = -1518\/5 + w. Find the common denominator of -77\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/24*2)\/((-18)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -27 (c) -2.3 (d) -124 (e) 4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**2 + 2*l**6 - 11*l**6 + 2*l**5 - 2*l**5 wrt l?\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 339 - 473 = 0. Let c = -30 + -26. Let r = c - q. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 56 = -10*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15770 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/9*(-6)\/(-2). Let f be 1 + -3 - (h + 8). Suppose 3*n - f*r + 9 = 0, r - 3*r = -5*n - 12. Let j(i) = -2*i**2 - 2*i + 2. Calculate j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 2)*(0*t**2 + 5*t**2 - 2*t**2) + (-4*t + 0*t + 2*t)*(2*t - 2*t - 4*t) to z*t + w + h*t**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 15. Let c be -1*3\/9 + (-275)\/(-15). Is c greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.935241 milligrams to kilograms.\nAnswer: 0.000000935241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 13)*((-548)\/180 - -3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2422 (base 8) to base 2\nAnswer: -10100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4*x**2 + 60*d**4*x - d**2*x - 16*d*x**2 wrt d?\nAnswer: -24*d*x**2 + 1440*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24376554?\nAnswer: 2, 3, 277, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (163\/(-978)*3\/6*(-330)\/187)\/15?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*(2 + -37). Let k = -1.5409 - 0.4591. Which is the fourth biggest value? (a) k (b) l (c) -3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 56.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(468) + (1 + sqrt(468) + 0)**2 - (0 + sqrt(468) + sqrt(468) + -1)) + -4)*2*2.\nAnswer: 24*sqrt(13) + 1867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2355 - -0.0375. Let f = i + -0.973. Which is smaller: f or 15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -41. Suppose o + 2072 = 5*p, 2*p + 5*o - 1675 = -m*p. Suppose 0 = -5*j + 580 + p. List the prime factors of j.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4399 divided by 1\nAnswer: -4399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 996, 2149, 3416, 4797, 6292, 7901?\nAnswer: 9624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q. Let s(y) = -8*y**2 + 11*y - 15. Let g be s(-7). Let x = -466 - g. What is the smallest common multiple of x and w(-4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -2\/3, -28, -60\/1501?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -23.3. Let t = d - 17. Which is greater: t or 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -5*w**7\/126 + 68*w**6\/3 + 823*w**5\/12 - 3065*w**4\/18 - 1370*w**3\/3 + 4100*w**2\/3 - 1410*w. Let g(d) = 0. What is d?\nAnswer: -2, 1, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*f**2*g + 6*f**2 - 68*f*g + 20*f + 2*g + 1 wrt f?\nAnswer: -342*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.6 + 36. Which is the biggest value? (a) -4 (b) -1\/2 (c) -5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 42*k - 2. Let u be j(1). Suppose -6*o + 5*o + u = 0. Suppose -3*b + 5*l + 40 = -b, -2*b = -4*l - o. What is the greatest common divisor of 60 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 510 = -5*u, -2*u - 2*t = u - 306. Suppose -2*s = -4*j + 262, 0 = 4*j - s - u - 155. List the prime factors of 14\/j - (-104)\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 19*s**2 - 21*s + 34. Let y be l(20). Suppose 0 = 11*p - y*p + 3. What is the least common multiple of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -363, 31, -1, 28.\nAnswer: -363, -1, 28, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-108)\/60)\/((-6)\/20). Let u(z) = 5*z**2 + 3*z. Let l(h) = h**2 + h. Give x*l(s) - u(s).\nAnswer: s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 divided by -48.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35850025*0.1.\nAnswer: -3585002.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z + 0*z)*(8*z**2 + 0*z**2 + 0*z**2) + (-2*z + 4*z**2 + 2*z)*(0*z - z - z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6.7. Let u = 60 - 54.9. Let y = 0.1 - u. Which is the second biggest value? (a) y (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 4*b**3 + b - 1 - b**3 + 0*b**3. Let u(l) = -5*l**3 + 2*l - 4. Let k(d) = -2*r(d) + u(d). What is the derivative of k(a) wrt a?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 12*l + 2*l**2 - 3*l - 7*l to j*l**2 + v*l + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -0.6 (c) -25\/2 (d) -26 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 6*q**2 - 8*q - 4. Let h be f(-7). Let m = h + -3. What is the units digit of 0\/(-1) - -12 - m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + -1 + (-729)\/(-915). Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r + 11407*s - 11405*s, 2*r = -13*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6792 and 509016?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-7 + (-1 - -1)). Let x = -7 + y. Solve 0 = -x*r - 3*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3498650 by -835.\nAnswer: -4190","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7*v + 472 = 0. Let d = 164 + v. Calculate the remainder when d is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -83 and -5697.\nAnswer: -5780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let g be (m + 2 + -2)*-1. What is the third derivative of 0*r**2 - 4*r**g - 16*r**4 + 7*r**4 wrt r?\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 3*f**2 - f + 4. Let q be z(3). Let c be -1*5 + -14 + -1. Let d be ((c\/8)\/1 + q)\/9. What is the third biggest value in 4, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016230821 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 54*a**2 + 110*a - 136. What is b(15)?\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -795*p**3 + 5*p + 10.\nAnswer: -4770*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 724 + 86 = 5*j. Let d = j + 29. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.046046l?\nAnswer: 2046.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 8.4. What is the third smallest value in 2\/5, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 66, 99, 134, 171, 210?\n\"Answer: l**2 + 28*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -693 - -731. Let v be (t\/10)\/(17\/85). Which is smaller: v or 24?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 32*d**2 + 2*d - 2. Give y(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:08 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -89, -209, -381, -605?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -414*b**3 - 360*b**3 + 774*b**3 + 15769*b**5 + 44283*b**5 + (-b + b + b**2)*(0*b**3 + b**3 - 3*b**3).\nAnswer: 60050*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 55*x**2 - 7*x - 26. Let c be s(-10). Suppose -4*o + c = 7*o. Is 36 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtpxptvvqp. What is prob of picking 2 t, 1 v, and 1 p?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 - (-630)\/(-2940)*217\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 + 32 + -3. Let f be (8\/(-20))\/(149\/30 + -5). Suppose -f*w + 231 = -81. Which is bigger: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1455434 (base 7) to base 13\nAnswer: -6c659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1520*v**5 - 23*v**4 - 2*v**3 + 611*v**2 + v. Let g(y) = -2*y**5 - 7*y**4 + 1. Let k(l) = -3*g(l) + u(l). What is the third derivative of k(w) wrt w?\nAnswer: 91560*w**2 - 48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 14, i: 4}. What is prob of picking 4 i?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 187960 less than 187971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from egddlbfg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 2. Suppose r = 4*r - z. Suppose -4*w - y = -127, r*y - 95 = -3*w + y. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 7, -45, 2, -3 in descending order.\nAnswer: 7, 2, -3, -11, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, -9, -8, 1, 6171 in ascending order.\nAnswer: -27, -9, -8, 1, 5, 6171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*-2)\/sqrt(10))**2 - (sqrt(7) - (sqrt(84)\/(sqrt(24)\/sqrt(2)))**2)) + (-3 + (-3*sqrt(7))**2 + sqrt(7))*-3.\nAnswer: -145 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k**3 - 35*k + 16*k**3 - 17*k**2 + 4*k**2 + 11*k**3 - 44*k**3 as r*k + i*k**2 + g*k**3 + v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25513?\nAnswer: 31, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2404 - -5038. List the prime factors of q.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12164354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 + 10 + -20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 140. Let f = -34 + n. Solve -s = f - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p**3 - 14*p + 15*p - 7*p to r*p**3 + v + o*p + x*p**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157723 and 97882.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.229577 and 0.393.\nAnswer: 7.622577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 1 - 10)*(5 - 2 - 2)*(0 - 2 + 0)*(-3*h + 0*h + 2*h)*(2*h**3 - 5*h**3 + 4*h**3).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*sqrt(76) + sqrt(76) + sqrt(76) - sqrt(76))**2*-1 - 4*(sqrt(76)*2 + sqrt(76)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 85 - 375. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-30)*t)\/t*t**(-2\/63))\/(t*(t\/((t*t*t*t**2)\/t))\/t)**(1\/31) assuming t is positive.\nAnswer: t**(-58463\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2652)\/(-117) + -22)*(1 + 21\/(-12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.34765 weeks to minutes.\nAnswer: 497424.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k**3\/2 + 33*k**2\/2 - 9*k = 0.\nAnswer: 0, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261608244620017 + 19*i + 261608244620017.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5740*-5\nAnswer: 28700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q - 5. Let r be n(0). Let w = -1.5297 - -0.5297. Sort -0.4, w, r in ascending order.\nAnswer: r, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*o + 26 = -24, 2*i - 2*o = 24. Let s(j) = 5273*j - 5147. Let w be s(1). What is the highest common factor of i and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 66. Suppose -3*p = -4*j + m, 0*j + 2*p - 2 = -j. Solve u + u - j = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3475 and 683185?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 785986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20378.012 to the nearest one hundred.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrurttcrrrqcrtcxq. Give prob of picking 1 x, 1 c, and 1 r.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l + 42*l**3 + 7 - 1\/2*l**2. Is p(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185.4 - -182.4. Let g = 1433\/9 + -159. What is the nearest to c in g, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 78 = -7*n. Solve 0 = 3*u - 6*u - n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*11\/(1782\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -111011?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(12\/(-16)*2). Suppose 0 = -n*x + 5*x + 100. What is the lowest common multiple of x and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 310.\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002926994 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30292 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -179, -361, -543, -725, -907, -1089?\n\"Answer: -182*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9250 is divided by 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(2\/((-84)\/(-441))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29919816 - 8777299. Let l = z + 16408387. Let h = l - -43388728. Round h to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -w + 5*q - 8*q, q - 230 = 4*w. Let v be 247\/w*1*9. Let u = -39 - v. Solve -2*l - 2*l - 20 = u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19759 or 1027537\/52?\nAnswer: 1027537\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.61? (a) -2\/59 (b) 2\/13 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88931735 by -5.\nAnswer: 17786347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kssqskssssssss. What is prob of picking 1 s, 1 k, and 1 q?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/20 - 7*o**4\/12 + 5*o**3\/6 + 3*o**2\/2 + 2*o. Suppose 2*r = -4*a, -4*a = -r - 0*a - 24. List the prime factors of b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85940, 85939, 85938, 85937, 85936, 85935?\n\"Answer: -v + 85941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 4*m**6\/5 - 122*m**5\/25 + 97*m**4\/20 + 13*m**3\/5 - 23*m**2\/5 + 8*m\/5 + 4684. Determine z so that u(z) = 0.\nAnswer: -2\/3, 1\/4, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 192? (a) 5 (b) 2\/11 (c) 3 (d) -1\/2 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*z - 2 = 0, 3*n + 2*z - 4*z - 13 = 0. Suppose 1211*g - 996*g = 0. Solve g*h - n*k - 18 = 3*h, h - 3*k = 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and 80492656514617.\nAnswer: 80492656514617.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 3959295?\nAnswer: 3959294.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 4*2*sqrt(152)) + (sqrt(152) - (sqrt(152) - (4*sqrt(152)*-2 - sqrt(152)))))\/((-2*sqrt(24))\/sqrt(3) + sqrt(96)\/sqrt(48)).\nAnswer: 32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -32*2\/(-4)*1. Suppose -z = -0*b - 4*b. Let h(k) = -k**2 - 19*k + 3. Let t be h(-19). Solve -5*a + 14 = 3*c, -4*c = t*a - 0 - b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36870521 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(700\/8))\/(1\/(-15)). Let g = 259.9 - 260. Are g and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7326 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 1402937712602?\nAnswer: -1402937712597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -0.434, -80, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -232 or -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 3391 - 3391.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3300) - (sqrt(4752) + 1*sqrt(4752)))\/(3*(sqrt(432)*-2 - sqrt(432))).\nAnswer: 17*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30876 is divided by 167.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 - q**3 - 3*q**2\/2 + q - 2. Suppose -3*u - 15 = -8*u. Suppose -b + u = -2*b. What is c(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 1824?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 14. Calculate the smallest common multiple of 18 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*g = -9*b + 16, 3*b = 3*g + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -582593 divided by -15.\nAnswer: 582593\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29, -25, -81, -139, -199, -261, -325?\n\"Answer: -n**2 - 51*n + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71263333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 5*s**2 + s - 2. Let a(h) = -h**2 - h + 1. Let l(g) = 4*a(g) + i(g). Let q be l(1). Solve q - 17 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 13*g**2 - 196*g - 53. Determine m(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -1623 - 153. Suppose -2*h + l + 372 = 0. Suppose h = -5*q + 1424. List the prime factors of q.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 - (-40 + 36) - -25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.6 * 0.09.\nAnswer: 1.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -30*p**3 + 3*p**2 + 2*p - 6. Is 25 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 398\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*q = 6, 129*s = 130*s + 2*q + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2 - 23*b - 24 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 91100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*z - 1392, -22*g = -18*g. What is the greatest common divisor of 78 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from sssshsss.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*b + 1740, -121 = -5*b - 4*g + 1649. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((0 - 2) + 63)) + (549 - (-353 + 901)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 325340 (base 7) to base 16\nAnswer: df19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -5, -7, -103, -4, 2 in descending order.\nAnswer: 2, -4, -5, -7, -103, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**3 + 2*r**3 + 3*r**3)*(-12 + 12 - 6*r)*(9 - 3 + 1) in the form x*r + y*r**3 + m*r**4 + g + f*r**2 and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/10 + c**4\/12 + 1188*c**2 - 15. Let a = 5 + -3. Let m(w) = 0*w**a + w**2 + w**2. Determine m(h(g)).\nAnswer: 72*g**4 + 48*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*u = -9*u - 23, -13 = -5*c + u. Suppose -c*v + 25 + 41 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51614782?\nAnswer: 2, 25807391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 u when three letters picked without replacement from {i: 1, v: 1, u: 1, s: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = -5*w + 73. Suppose 5*y - 2*i - 583 = 0, -y + 6*i + w = 10*i. Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54570633 and 806?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1097 - -362. Let x = c - -1153. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 640*x - 336. What are the prime factors of m(11)?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4496 and 8722240?\nAnswer: 8722240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/253 and -10\/207.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150.5 + -26.5. Let w = b + -123.9999776. What is w rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 + 0*p + 0*p**3 - 1\/42*p**4 + 1\/210*p**5 + 3*p**2. Factor d(r).\nAnswer: 2*r*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6957 or 6958?\nAnswer: 6957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 214+5474832857\nAnswer: 5474833071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 200, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 988*b - 642*b - 813*b in the form y*b + p and give y.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 456 = 3*s, 3*l = 5*s + 2*l - 760. Calculate the greatest common divisor of 38 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.81522 decades in years?\nAnswer: 548.1522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/868 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67641116393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 1\/12*j**4 + 0*j**2 - 8*j + 0 + 0*j**3. Let r(o) = 2*o. Give i(r(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.37443 - -0.43143. Let p = v + -0.057. Let h = -34.0161 - p. What is h rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 15103*m + 7386*m + 7482*m - 4 + 0.\nAnswer: -235*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 3*j - 3. Let p be v(2). Let y = p + 11. Let l(g) = -3*g + 4. Calculate the least common multiple of y and l(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 14*l)*(35 - 3*l**2 - 35).\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85287 is divided by 16936?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8839.419 micrometers in millimeters?\nAnswer: 8.839419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5 take away 23.4536189?\nAnswer: -27.9536189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 157883310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -610 (base 9) to base 2\nAnswer: -111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/18, -134, 2\/13, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(-32)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*o + 1. Suppose o*w = 5*w - 51. What is the highest common factor of w and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 444498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 87*o. Let z(j) = j. Suppose a + 5*r = -72 + 51, -3*a - 11 = 2*r. Give a*d(x) + 58*z(x).\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89391.\nAnswer: 3, 83, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 35*y + 39*y + 10, -5*y = -2*x + 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + 0 - (-6 - (-35 - -14)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 4*o - 3*o + 7, -5*x = 3*o + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18968142 and 627.\nAnswer: 3964341678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*w = -3*p, -w - 20 = -5*p. Let m(k) = -k + 6. Let y be m(p). Let u(s) = -10*s**3 + 1. What is u(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741365023 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 97, 92, 87, 82, 77?\n\"Answer: -5*m + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36777416 divided by -4?\nAnswer: -9194354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1148628 and 6.\nAnswer: -1148622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 2, a: 2, w: 7, e: 4}. Give prob of sequence ea.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let y(i) = -3*i**2 - 48. Determine y(r(s)).\nAnswer: -12*s**4 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**3 - 3*t**2 - 15*t + 27. Is a(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 5*o**2 - o**2)*(-o**2 - 3 + 3)*(2*o - 2 + 2).\nAnswer: 18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20443110 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54 + -603?\nAnswer: -5af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-98) + (91563\/126)\/(-1). Let z = 728 + s. What is p in z*p**4 - 1\/3*p**3 - 4\/3*p + 2\/3 - 7\/2*p**2 = 0?\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/8*16\/(-20). Let p(w) = w**2 + 3*w + 1. What is p(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7362 = -23*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 1443.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9290, 4, 1673.\nAnswer: -4, 4, 1673, 9290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 = 3*z + 5*s + 3430, -2*s = 2*z + 2728. Are -1364 and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.8699 decades to years.\nAnswer: 48.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*o**3*y**3 - 2185*o**3*y**2 - 93*o**2*y**3 + 167*o**2*y - 39*o*y**3 + o wrt o?\nAnswer: -342*y**3 - 13110*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -2*g - 3*o, 0 = -3*g + 13*o - 15*o + 1000. What is g rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**8*u**(5\/2))**48\/((u*u**6\/u*u*u*u\/(u\/(u**1\/u)))\/(u\/u**2*u*((u**(-2\/23)*u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(12510\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 41. Let u be m(3). Suppose -c + u = 15. Solve 20 = -3*h - c*p, -2*h - 4*p = -4 + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 1609*j**6\/30 + 36*j**2 - 1090*j. Differentiate z(r) with respect to r.\nAnswer: 6436*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -6, -2 in increasing order.\nAnswer: -8, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 1. Let b(t) = 2*t**2 - 7*t + 6. Let z(w) = -b(w) + 3*v(w). Give z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -2*p. Suppose -2*c - 4*q + 20 = 0, -c - 4*q - p + 17 = 0. Suppose -47 - 6 = -n - c*j, 5*n = -5*j + 190. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 35*m + 2. Let u be b(2). Let f = -15 - -19. Suppose -2*p + 41 = -4*o + 5, f*p - u = 3*o. Solve -h + p = 5*d, -3*d - 6 = h - 6*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*m + 254*m = 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 3*r**2 - 1476*r**3 + 0*r**2 - 1375*r**3 + 2859*r**3.\nAnswer: 8*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32351289557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 5*y - 2, 3*y = 5*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1130 + -521006?\nAnswer: -518766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.714200923 rounded to 2 dps?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o + 7*o + 5*o. Let l(x) = 3*x**2 + 2. Let z(j) = 7*j**2 + 5. Let h(w) = 5*l(w) - 2*z(w). Calculate r(h(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2521?\nAnswer: -2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2334, -9229, -20774, -36957, -57766, -83189, -113214, -147829?\nAnswer: -187022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2068 and 73\/2068.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5616, 11208, 16802, 22398, 27996, 33596, 39198?\n\"Answer: n**2 + 5589*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9119568 a multiple of 1821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25745721.\nAnswer: 3, 61, 269, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-28)\/(-203))\/(12\/70) and -19\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4814950 and 1050.\nAnswer: 14444850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 + 16 + (-34)\/(-1). Let c(a) = -a**3 - a**2 + a + 4. Let m be c(0). Calculate the greatest common divisor of f and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 3*j + 5 - 2 + 0*j**3 + 2 + j**4 + 5*j**3 to i*j**4 + l*j**2 + b*j**3 + q*j + v and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= 15183.797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**3\/3 - 8*c**2 + 28*c - 97. Let t be k(2). Solve 25 = 5*b - t*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 102.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*r**3 - 17*r**2 + 390*r wrt r?\nAnswer: 420*r - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72453041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1598 + -1600. Let k(d) = -6*d**3 + 5*d**2 - d + 4. Let o(v) = -3*v**3 + 2*v**2 + 2. Determine c*k(u) + 5*o(u).\nAnswer: -3*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1278*j + 4115 - 2060 - 4557*j - 2053 to u*j + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*i - 1, 0*o + 13 = 3*i + 2*o. Let b(c) = 4*c**3 - 14*c**2 + 14*c. Let m(x) = x**3 - 3*x**2 + 3*x. Calculate i*b(v) - 14*m(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 185 = 193 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55078832 divided by -2.\nAnswer: -27539416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 86148 divided by -2\nAnswer: -43074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 5.109?\nAnswer: -112.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933327523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -89. Solve -l - x = 4*f + f, 0 = -2*l - f - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**2*x**3 + 22073*i**2*x**2 + 4*i*x**3 - 85*x**3 wrt x?\nAnswer: 18*i**2 + 24*i - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1422561 to the nearest ten thousand.\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbjo when four letters picked without replacement from bobbocohjbbbhhohbboo?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -3*z. Let p(f) = 35*f**2 - 4*f + 21. Let i(k) = -6*k**2 + k - 4. Let q(c) = 6*i(c) + p(c). Give q(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 18*m + 16. Let u be h(17). What is the hundreds digit of (44\/u)\/((0 - -1)\/171)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15269?\nAnswer: 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10040 - -10075. Solve g*w - 84 = 7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*t**0*t*t)))**(-19)*(t**1)**(10\/3) assuming t is positive.\nAnswer: t**(-218\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/2)\/(-3))\/((-539)\/1232).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5342002 (base 7) to base 2.\nAnswer: -10011110011011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 9. Let n = -129 - -133. Suppose -c = -n*c + h. Solve c*d - 2*d + 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.998 - -21. Round j to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -98\/1681425 and 18\/5875?\nAnswer: 8407125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 2. Let c(x) = 3. Let d(m) = 14. Let u(t) = 7*c(t) - 2*d(t). Let b(q) = 15. Let j(i) = -6*b(i) - 13*u(i). Determine -j(v) + n(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27701321316 + 65.\nAnswer: -27701321251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92712.\nAnswer: 2, 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + (sqrt(245) + -2 + 3)**2)) + -4.\nAnswer: -250 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n = -3*n - 224. What is the smallest common multiple of 60 and 5 - n\/(-1) - (-10 - -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*n + 27, -5*n - p = -5*p - 69. Let a(f) = 4 - 10*f - 4 - 40 + n*f**2 - 12*f**2. What is the remainder when 18 is divided by a(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 170218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086076 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 95\/(-30) + (-1 - -6 - (-216)\/(-144)). Factor n*d**2 + 1\/3 + 2\/3*d.\nAnswer: (d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1405*s + 7975. List the prime factors of k(55).\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 161?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1 - (6 - 7)) + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - o**4 + 5*o**4 + (-2 + 2 + o**2)*(0*o**2 + o**2 - 2*o**2) - 4 + 4 + o**4 + o**4 - 3*o**4 + 3*o**4 + (o + 0*o + 0*o)*(0*o**2 - 3*o**3 + 0*o**2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t. Let u(m) be the first derivative of -m**6\/90 - 16*m**3 - 2. Let g(f) be the third derivative of u(f). Calculate g(c(q)).\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 3, 10, -42, -4, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11738986 and 1966.\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 9:27 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 5*f - f)*(-f + 4*f - 2*f + 13).\nAnswer: -f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86831 (base 12) to base 2.\nAnswer: 101011010100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1225525, -2451130, -3676821, -4902598?\n\"Answer: -43*q**2 - 1225476*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3094 in -118, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 0. Let j = y + 8. Suppose j*t - 6*t + 22 = 0. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*(15 - 3). Let v(a) = 35*a - 2. Let t(y) be the first derivative of -23*y**2\/2 + y - 22333. Give c*t(p) - 5*v(p).\nAnswer: 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((0 + -9)\/(-3) - -177). Suppose 4*v = l + 165, -15 - y = -5*v - l. Let x = v + -36. Solve w = x*c + 3 - 2, 4*c = 4*w - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 11*t + 18. Let y(b) = b**2 - 12*b - 18. Let g(k) = -5*c(k) - 4*y(k). What is the units digit of g(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -6918 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3 + 6475*o + 4282*o)*(-4*o**2 - o**2 + 3*o**2) to x*o**2 + p + m*o + a*o**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4\/7 (c) -11 (d) -151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1448 by 771200.\nAnswer: -181\/96400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3879 - 3845. Let j(t) = 2*t + 8. Calculate the remainder when p is divided by j(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 888 + -886. Which is the second smallest value? (a) f (b) 3\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13268 in 10, -28, 0.4, -4, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 8*q + 2*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let l(u) = -2*u + 1. Let n(p) = -4*g(p) + l(p). What is n(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2756 = -4*l + 5*u, -2*l + 1375 = u. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -s + 6, 3*q = 2*q + s. Let d(y) = 3*y**2 - 3*y**3 - 2 + 0 - y**3 + q*y**3 + 3*y. Calculate d(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11475243 take away 4?\nAnswer: -11475247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44008715*k**4 - 25375974?\nAnswer: 176034860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110000002 + -101?\nAnswer: -110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, y: 5}. Give prob of picking 2 w.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5 = -5*n, -457*n - h = -462*n + 25 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 3*y + 3. Let z be n(4). Suppose f = -3*l - 11, 4*f = -6*l + 8*l + 12. Is z bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 27 - 1 = 0. Let k(m) = -8*m. Give k(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039737085 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -6. Let i = -0.02 - 0.08. Which is the third biggest value? (a) i (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11829 - 5.07129. Round i to 1 dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-115)\/(-23) - (1 + 1). Solve h = -f*t - 2 + 4, 3*t - 4 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -76943*g**3 - 12*g**2 + 19*g + 80. Let j be z(5). What is j rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10585 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**4 - 87*t**3 - 123*t**2 + 11*t - 11. Let p(r) = r**4 - 21*r**3 - 31*r**2 + 3*r - 3. Let s = 19 + -13. Let l(w) = s*a(w) - 22*p(w). Factor l(y).\nAnswer: -4*y**2*(y + 1)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 702 and 3780?\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-11))*x*x)\/(x\/(x*x*x**(-2\/11))))**(-19))**(2\/67) assuming x is positive.\nAnswer: x**(-5776\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-10)*((-24)\/(-16) + 1). Let t(o) = -52*o - 72. Let f be t(w). Calculate the greatest common factor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*r + 0*r + 2*r)*(-2034 - 921*r + 83*r + 2036) in the form i*r + n + y*r**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3353, 3350, 3347, 3344, 3341, 3338?\nAnswer: 3335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.45068961 to 4 decimal places.\nAnswer: -4.4507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**5\/20 - 7*v**2 + 5*v. Let k(a) = 32*a - 136*a**2 - 50*a + 18*a. Calculate k(o(r)).\nAnswer: -1224*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 - 32 - -27 - -19?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 - 394*u - 44338. Give n(103).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4538856*q**3*v**3 + 24386*q**3*v**2 - 2*q**3*v - 4*q**2*v**2 + q*v**3 + 7*q*v**2 + 1 wrt v.\nAnswer: -27233136*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 18334675140?\nAnswer: 18334675070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-442)\/(-4) - (-6)\/(-4). Let d(w) = 2*w + 14. Let u be d(-7). Suppose u = 3*j - n - 2. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -163*y + 164*y - 3*b + 17, 3*b = 21. Solve -3*t - y*w - 22 + 12 = 0, t = 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = x - i - 147, 15 = -5*i. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.7 (b) -2\/13 (c) 5\/4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063 = 22*s + 1129 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3))\/(l\/(l*l\/l**18)) assuming l is positive.\nAnswer: l**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o. Let u(r) = 15*r - 1. Let k(s) = -5*i(s) - u(s). Calculate k(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**9\/1512 - f**5\/120 - 5*f**3\/3 - 1. Let v(p) be the third derivative of a(p). Find the second derivative of v(t) wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, g: 1, h: 1, e: 3, k: 4}. Give prob of picking 1 w, 1 g, and 1 h.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((36114\/4630)\/((-1)\/(3\/(-9))))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 2 - 7*r - 4*r)*(1975*r**2 + 4586*r**2 + 5736*r**2 + 2765*r**2 - 1678*r**2).\nAnswer: -26768*r**3 - 26768*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.3 - -7.2. Let l = -0.027 - w. Let p = l - 5.273. What is p rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002301 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 64 + 59 + j + 4*j**3 - 10*j**2. Let l be i(10). Suppose -3*z + 4 = z - 5*o, -10 = -l*z + 5*o. Solve -5*x = -8*x - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 90.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -99c3a51?\nAnswer: 99c3a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-2\/69)\/((t**(-2)\/t*t)\/(t\/t**(-7))))**12 assuming t is positive.\nAnswer: t**(8272\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 33?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0290887+4.3\nAnswer: 4.3290887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*i + 10 = -31, 39 = 4*o + 5*i. Let c(h) = -o*h - 6 + 9 - 11*h**2 - h**3 - 9. Let j be c(-10). Solve j*g - 1 = s, 2*g = 8*s - 3*s - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 3) to base 10.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from {b: 2, g: 3, m: 15}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 10. What are the prime factors of (4\/j - -2)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 7*o**2 + 8*o + 4. Determine q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + 2*p + 39. Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*c - 3, 19 = 3*c - 71*l + 75*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 4*m**4 + 0*m**4 + (2*m**2 - m**2 - 4*m**2)*(-m - m + m)*(-7*m - 10 + 10) + (0*m + 0*m + m)*(m**3 + 0*m**2 + 0*m**2).\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-577)\/(-24) + (-12243)\/32648. Suppose 0 = 3*i - 13 - 59. Does i = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6*j - j)*(27 - 3 + 0)*(-1 - 2*j + 1).\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94456 to two dps.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 22*p - 140, p + 11*u + 99 = 15*u - 13 + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 - 5*v - 271 + 271 as q*v + d + t*v**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260649666 by -260649666.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3049, 0, -1 in increasing order.\nAnswer: -3049, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002421 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*h - 22. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, b: 7, e: 2}. What is prob of sequence ebb?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.8077517 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 27*r + 96. Determine o(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 - -571.\nAnswer: 569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 - 5 + 5 - a + (-2*a + 3*a - 3*a)*(2*a - 1 + 1))*(-9 + 13 + 2) as c*a + k + w*a**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 236766372, 236766376, 236766382, 236766390, 236766400?\n\"Answer: q**2 + q + 236766370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 55756\/7964)\/(-7 + 4125\/605)?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4592824 and 40112.\nAnswer: 9185648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32954699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w + 231. Let p be q(-12). Solve 2*v = -3*v - p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3717*d*v**4 - d*v**2 - 29889*d wrt v.\nAnswer: -14868*d*v**3 - 2*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from zwzwttstwztttsttt.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2 + 3*i - 9. Let l(y) = -y**2 - y. Let f(n) = j(n) + 3*l(n). Differentiate f(u) wrt u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 14, -1, 0, -4\/565, 1, 1\/6 in increasing order.\nAnswer: -1, -4\/565, 0, 1\/6, 1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0792566 - 3215.\nAnswer: -3215.0792566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 96*p**2 - 21*p + 15. Let b(t) = 5*t**2 - 2*t + 1. Calculate -9*b(o) + w(o).\nAnswer: 51*o**2 - 3*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/5 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419975349 to the power of 1\/2, to the nearest integer?\nAnswer: 20493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = i - 0*i, 5*l = -20. Suppose i = -k + 6. Find the second derivative of -w**k + 0*w**2 - w + 4*w - 2*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(133)*-1*-4 + sqrt(133) + (sqrt(133) - (sqrt(133) + 2*sqrt(133)*4)))\/(((sqrt(224) - sqrt(14))*-5)\/(sqrt(162)*2)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81060.\nAnswer: 2, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:48 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 3. Let z(m) = -m + 8. Let y be z(5). Suppose y*r - 14 + 5 = 0. What is the remainder when r is divided by g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 + 10.2. Let x = 0 + 0.3. Let h be ((20\/15)\/(-1))\/(-1 - 5). What is the closest to x in -1, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1086*w**2 - 352*w**2 + 240*w**2.\nAnswer: 974*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -8470539?\nAnswer: -8470539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 15 = 9*w. Let u(y) be the third derivative of y**6\/120 + 2*y**5\/15 - 11*y**4\/24 - 7*y**3\/6 + 3*y**2. What is the units digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + -178. Suppose 4*f - 66 = 2*j, -3*f + 39 = -j + 2*f. Let b = j - x. What is the greatest common divisor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4594 <= -4594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 + 516*x**4 + 19797*x**3 - 227496*x**2 - 1510380*x - 1263600 = 0 for x.\nAnswer: -90, -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, y: 1, e: 3, x: 9}. What is prob of picking 2 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 537.1 - 537.106221. What is m rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31993870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:57 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 4)*((-4*n**2 + n**2 + 2*n**2)*(4*n**2 - 4*n**2 + 3*n**2) - n**4 + n**4 - n**4) to c*n**4 + z + p*n + m*n**2 + h*n**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/916 and -19\/244114.\nAnswer: 488228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5739334*i. Let x(m) = 3*m**2. Determine x(f(v)).\nAnswer: 98819864290668*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.5, -4, -391130, -1\/4, -3\/5, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136584 and 9.\nAnswer: 136584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 442369 from 88.\nAnswer: -442281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 8*l + 40. Let v be y(-11). Suppose -v*f = -11*f + 12. Solve -2*r = f*s - 6, -4*s + 5 + 3 = -r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -76*b**3 - 2*b**2 - 3*b. What is v(-1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 1\/11*f**3 + 1\/66*f**4 + 0 - 3*f + 2\/11*f**2. Factor s(u).\nAnswer: 2*(u + 1)*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107260 at most 107259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 12232.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8.1. Which is the nearest to 2\/11? (a) 1\/2 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 170?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (100 + -9)*(-16)\/56*6\/(-2). Solve 19*b - v*b + 59 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8431.53 millennia?\nAnswer: 843153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71886172 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-12)*n\/n**(-7)*(n\/(n**1*n))**(2\/7) assuming n is positive.\nAnswer: n**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:38 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3652*i**2 + 3601*i**2 + 2428*i**2 - 2493*i**2.\nAnswer: 7188*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -2\/455 (c) 2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167887.\nAnswer: 7, 166841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = -13*b + 1063. Is 200058\/21 - (b\/35)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(48)\/(sqrt(8) - sqrt(32)\/sqrt(4) - sqrt(8)))\/((sqrt(1470) - sqrt(30))\/sqrt(10) - sqrt(3)))**2 + -2.\nAnswer: -18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -1. Let q = 138 - 137.9. Suppose 3*b = 2*b - 6. What is the nearest to q in o, 4, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -72 - 228. Solve 40 = 4*f + 5*l, -51 + k = -4*f - 4*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -22*h - 6. Suppose 5*b = 4*a - 2*a - 17, -1 = 5*a + h*b. Let m(i) = i - 1. Determine m(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 - 3\/(60\/(-28))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npy when three letters picked without replacement from {p: 2, c: 1, j: 1, z: 1, y: 2, n: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 335807385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12438869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22316 (base 7) in base 8?\nAnswer: -13020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -29*g**2 + 142*g - 64. Let u be p(4). Solve 11 = u*d - 69 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 98. Which is the closest to 1? (a) 3\/5 (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*4\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.63*0.15\nAnswer: -0.5445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r**4 + 21*r**3 - 9*r**2 - 51*r - 42. Let y(x) = -8*x**4 + 20*x**3 - 7*x**2 - 51*x - 41. Let b(p) = 5*k(p) - 6*y(p). Factor b(u).\nAnswer: 3*(u - 4)*(u - 3)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -589, -912, -1273, -1684, -2157, -2704, -3337?\nAnswer: -4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14480132 to the nearest integer?\nAnswer: 3805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -3*l + 2*v + 1520, -4*l + 6*v + 2618 = 0. Calculate the remainder when l is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110011 (base 3) to base 4\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -115, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1032 + -12801.\nAnswer: -11769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14464 and 89044.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16962 = -24*r - 16578. Let k(b) = -11*b + 7. What is the remainder when k(-5) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from wwvxpxxvcwpx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 14597825.\nAnswer: 408739100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxkwvxwfvkkkfxfxkks. Give prob of sequence fxx.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2072 + 2079. What is the least common multiple of s and 191?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 272 - 179. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 120\/32 - (4 + 132\/16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 40 + 84 = 0. Factor -3\/7*u - 3\/7*u**o + 0 + 3\/7*u**3 + 3\/7*u**2.\nAnswer: -3*u*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7 - (-18 - -122*25\/175)) + -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15)*3*(-10)\/(-3). Suppose -5*y + r*l = -48, y - 34 = -2*y + 5*l. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2\/(-13 - -5)). Suppose 0 = -2*c - 6, 5*q - 20 = -2*c + 9. Is q greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let u = i - -1.6. What is the second biggest value in 0.5, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-516)\/12 - (-2128)\/76.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 106354*v + 2446119. Determine p(-23).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.027028*5\nAnswer: -0.13514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1518370, 1518573, 1519122, 1520191, 1521954, 1524585, 1528258, 1533147?\n\"Answer: 29*j**3 - j**2 + 3*j + 1518339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 111614, 110378, 108320, 105440, 101738, 97214, 91868?\n\"Answer: -411*x**2 - 3*x + 112028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1327 (b) 4\/9 (c) 822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/(110\/(-220)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/24 + (-4)\/(-144)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38717 - -80436. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7882)\/350 - -22) + 144\/240.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8238705 and 30208585?\nAnswer: 90625755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 239531.9 micrometers in kilometers?\nAnswer: 0.0002395319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7927, 31648, 71165, 126478, 197587?\n\"Answer: 7898*f**2 + 27*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-4)*24\/14. Suppose 2*k - 28 = -5*n, k - 13 = -z*n + 3*n. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from ggcgk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 0.07.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 37a851?\nAnswer: -37a854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87770169 + 99712076 = 5*d. Let r = 73896449 - d. Suppose 3*q = -q - r. Round q to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-3 - 35\/(-10)). What is the common denominator of (-1)\/(-4) - (-414)\/40 and 165\/10*f\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 + 149. Let j(m) be the third derivative of -3\/4*m**3 + 0 + 0*m - 1\/120*m**f + 1\/8*m**4 + m**2. Factor j(g).\nAnswer: -(g - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 12:26 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - (-4 + 5 + -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(4\/19))\/(u**(8\/9)\/u*u))\/((u*u*u\/(u*u**(-11\/6)))\/(u\/(u**(-27)\/u))) assuming u is positive.\nAnswer: u**(8573\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**38)**(-1\/10) assuming u is positive.\nAnswer: u**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 460294.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320145, 320146, 320149, 320154, 320161, 320170?\nAnswer: 320181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.79 + 0.21. Let u = k + -13.08. Which is the second biggest value? (a) u (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:01 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 545\/(-2398)*(-16)\/10?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029230593 rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 599*w - 8748 - 4430 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(26)*1)\/sqrt(2) + -5).\nAnswer: -sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -492, -735, -978, -1221, -1464?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*n + 6, 18 = 2*n + 2*i - 4*i. Suppose 4*v + 4*p = 16, -v + 9 = -4*v + 4*p. Suppose -v = -n*b + 1494. What are the prime factors of b?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 + 859 = 115*q - 170*q - 873 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4. Let o = 9.18 - -55.52. Let q = -65 + o. Sort d, q, -0.08 in ascending order.\nAnswer: q, -0.08, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387863.4 rounded to the nearest one thousand?\nAnswer: 2388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67390, -67398, -67406, -67414?\nAnswer: -67422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.012 and -0.073?\nAnswer: 0.000876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*2 + sqrt(2160))\/(sqrt(5) - (sqrt(5) - 1*sqrt(15)\/sqrt(3))).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b12 + 7?\nAnswer: 8b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q. Let l(b) be the third derivative of -7*b**4\/24 - 14*b**2. Give -3*l(o) - 5*w(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 + -0.2. Let y = -0.64 + q. Let g = y - -2.6. Which is the smallest value? (a) 3 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34696, 34694, 34692, 34690, 34688?\n\"Answer: -2*q + 34698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1.055, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/29 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23199366.\nAnswer: 2, 3, 503, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317642 divided by -1286.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1853, -6659, -14511, -25409, -39353?\n\"Answer: -1523*q**2 - 237*q - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74c79 (base 15) to base 11.\nAnswer: -233560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 547*(-4 + 0 + 2). Let l = f - -1930. Suppose 0*c = 11*c - l. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 803295*z**4 + 4567*z**2 - 2*z + 11.\nAnswer: 60*z**2 - 19279080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:10 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 26321?\nAnswer: -26326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5739.\nAnswer: 3, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124 + 22?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/3 - 153250*p - 459748\/3 = 0. What is p?\nAnswer: -229874, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3\/2*n - 1\/2*n**2 + 2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 10400*w\/3 - 5827289\/3.\nAnswer: (w - 10933)*(w + 533)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:11 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 7609*z**2 - 7610*z**2 - 8*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (-113 - -33 - -78).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c - 16. Let r(w) = -7*w - 15. Calculate 6*r(v) - 5*t(v).\nAnswer: -2*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 + 20. Let d(z) = -5*z**2. Calculate d(q(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1751 - -1681) + (1 - -51).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:04 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152888 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 3, -344, -15, 2, 0, 4 in ascending order.\nAnswer: -344, -15, 0, 2, 3, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/(-15)*((-115)\/18 + 5). Determine q so that 40\/9*q**3 + 4\/9*q**5 + 20\/9*q - i*q**2 - 20\/9*q**4 - 4\/9 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.6 minus 220554?\nAnswer: -220609.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 551 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2739.031 meters to nanometers.\nAnswer: 2739031000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/2 + 912*i**4 + 116157*i**3\/2 + 113423*i**2 + 56256*i = 0.\nAnswer: -1758, -64, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {z: 1, c: 2, m: 1, d: 3, e: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0.03203.\nAnswer: -0.03203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Let z be 9\/(-6) + (2 - w). Which is the nearest to -0.1? (a) 2\/9 (b) z (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96*r**3 - 109 - 728*r**3 + 288*r**3 - 436*r**3 wrt r?\nAnswer: -2916*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245209, 493614, 742019, 990424?\nAnswer: 1238829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 12 = 3*q, -q - 4 = -2*g + 10. Let u(b) be the first derivative of 5*b**2\/2 - 7*b - 2. Is 9 a factor of u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = -w. Let d be 0\/2*(w - -1). Suppose -13 = -4*p - 4*s - s, d = 3*p - 4*s - 2. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8*n + 2.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(228\/(-4256))*-1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s. Let z be ((369\/1353)\/(2\/(2*11)))\/3. Let x(f) = 8*f**2 - 8*f + 2. Determine z*x(q) + 6*g(q).\nAnswer: 2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -300909460 - -5?\nAnswer: -300909455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145921688.\nAnswer: 2, 11, 1658201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -322.5586 and -0.4?\nAnswer: 322.1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s - 19. Let v be i(4). Suppose 0 = v*n - 3294 - 1356. Suppose 0 = 5*d - 4*j - 970, -n = -5*d - 0*d - 4*j. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.301869 to 1 decimal place.\nAnswer: 144.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.0000048 - 39. Round p to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -20, 1, -7, -2, 476 in decreasing order.\nAnswer: 476, 1, -2, -4, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1028540244 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbbfbfbbfbbxfbbbxx. Give prob of sequence fbb.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 15) to base 9\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*x - 4*d + 207, -3*x - 5*d = -5*x - 337 + 107 + 105 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + t. Suppose 15 = 5*a - t*a. Suppose -a*n - z = -0*z - 72, 5*z - 15 = -2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2146*r**2 - 952 + 3*r**4 - 1620 - 859 + 1048*r**2 + 1717*r**2 with respect to r.\nAnswer: 12*r**3 + 1238*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31593*u - 31593*u + 368487*u**2.\nAnswer: 368487*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(14\/245*1162)\/2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -31*h**6\/24 + 9*h**5\/20 + h**4\/6 + 179*h**2. Find the third derivative of g(t) wrt t.\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1125642 and 77.\nAnswer: 12382062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 6*q**2 - q + 9. Let l be m(6). Suppose 3*v = -l*v + 264. What is the remainder when v is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(432) + -1 - sqrt(432)) + 0 - sqrt(432))*-1 - (-1 + (2*sqrt(432)*-3 - (5 + 2*sqrt(432)))))**2.\nAnswer: 648*sqrt(3) + 35001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/126*(-2970)\/3300.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 - 5*l - 4. Suppose 4*g - 5*g - 3 = 0. Let q be z(g). Let t(y) = -2*y**q + 2*y**2 - 2*y**2. Let d(p) = -p**2. Give d(t(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*u - 6, -u + 4 = 3*u - 2*x. Let k be (-14)\/(-140) + 1 + u. What is the third biggest value in -2, -0.4, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0. Sort 2, -0.4, u.\nAnswer: -0.4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -78355\/2, 0.\nAnswer: -78355\/2, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/2)\/(3\/18). Suppose 5*s = -m + 9, u = m + s - 5*s. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:26 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111001000110 (base 2) to base 5.\nAnswer: 334341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 4 + 24)*(3*a - 5*a - 10*a)*(5*a**4 - 4*a**4 - 2*a**4)*(-2 - 2 + 5).\nAnswer: 684*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 76a (base 13) to base 15\nAnswer: 59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**5\/130 + 21*i**4\/13 - 605*i**3\/39 - i - 50. Solve j(m) = 0.\nAnswer: 0, 5, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 5*m - 4*m)*(-5*m - 1 + 2*m + 6) to the form j*m + f + i*m**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 256285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.37 - -11.4. Let o = z + 0.07. Let r = -0.8 + o. Which is the smallest value? (a) r (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-1215)*-15*(0 - 6). Factor -a**2 + 3\/4*a**3 + a**k + 1\/4*a**5 - a + 0.\nAnswer: a*(a - 1)*(a + 1)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**5 + 3*n**4 - 54*n**3 + 6*n**2. Let b(z) = -z**5 - z**4 + 12*z**3 - z**2. Let f(y) = 6*b(y) + g(y). Determine i so that f(i) = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5.46. Let p = -10.44 - f. Let l = p + 9. Which is bigger: 11 or l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by -2080.\nAnswer: 319\/2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29743?\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(98)*2 - sqrt(98)) + (3*(sqrt(8) + -3*sqrt(8)))\/sqrt(4))**2.\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 27, 31, 35, 39?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*t = 1849*t + 191*t + 101430 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**3\/3 + h. Let d(j) = 11*j + 6. Let w(x) = -2*x - 1. Let c(t) = -d(t) - 6*w(t). Determine y(c(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23742 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**3 - 13157*c**2 - 44682*c - 15768 = 0.\nAnswer: -2628, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 + -53.9. Let y = 34.5 + x. Let u = 11 + y. Which is the third biggest value? (a) 5 (b) -1\/6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -18*s**5 + 5*s**4 + 35*s - 14. Let c(f) = 9*f**5 - 2*f**4 - 18*f + 7. Let l(u) = -3*a(u) - 5*c(u). What is the second derivative of l(y) wrt y?\nAnswer: 180*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + (3 - 2 - 2)*(2 - 2 - 1))*(46*b - 11*b - 382*b - 212*b).\nAnswer: 1118*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (379 + 12*r + 9*r - 380)*(-2*r**3 + 4*r**3 - r**3).\nAnswer: 21*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 - 555 + 358 = -12*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5 (base 16) in base 11?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -53. Suppose 12 = -4*d, m*p = 6*p + 3*d - 291. Does -77 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2 - 9*x**2 - x + 2 - x**3 + 2*x**3. Let d be z(9). Sort d, 0, 20 in ascending order.\nAnswer: d, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, i: 3, j: 8}. What is prob of picking 1 i and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b8a1 (base 13) to base 4.\nAnswer: 313010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2967 = -7*p + 3800. What is the greatest common divisor of 49 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1183 = -34*f + 21*f. What is the remainder when f is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -118?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose -3*o = o - 8. Let g = 84 - 91. Which is the smallest value? (a) o (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1163520 + 20?\nAnswer: -1163500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*v = -5 + 17, -4*v - 16 = -3*t. Which is greater: -4\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:21 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -30.067. Let z = k + -0.067. Which is the third smallest value? (a) -1 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s**2 - 67*s**2 + 30*s**2 - 13*s**3 + 3*s.\nAnswer: -13*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 825, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let j be m\/5 - 96\/15. Let a(d) = d**2 + 2*d. Let i be a(j). Solve 3*g - 4*r = -i, 2*r - 17 = 4*g + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -27 + -2 + 8 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 4*c. Let f be z(5). What is the second derivative of 28*b**2 - 13*b**2 + f*b - 11*b**2 wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84436 divided by -1256?\nAnswer: 21109\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -493ca (base 16) in base 7?\nAnswer: -2356400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 9*x = -5*b + 226, -5*x - 3*b + 302 = 0. Calculate the least common multiple of x and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 3*p + 235, -5*l = -p - 280. Let a(d) = -10*d**3 - d. Let w be a(-1). Calculate the greatest common factor of l and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5164 != 5163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -11 in decreasing order.\nAnswer: 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 + 7 - 0\/2 - -13. Suppose -c + 3*t = -14, -7*c + x*c - t = 38. Solve 2*v - c = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -227 + 235. Solve t*m - 10 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*c**2 + 81*c**2 - 49886 + 49885 in the form t + j*c + i*c**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 divided by -1?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 567\/378*(-2)\/(-8)*4\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183.2 + -183. What is the closest to -2\/3 in -2\/19, 12, t?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/88 - 4\/(-3). Let z = 54 + -56. Sort z, 4, c, -4.\nAnswer: -4, z, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 78 = -9*i. Suppose -r + i = 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 288 = 43. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 23. Suppose 0 = 3*c - 5 + 2. Let b be (-124 + 125)\/((-1)\/(-2)). Put x, -2, b, c in descending order.\nAnswer: b, c, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - r - 0*r + 16, 5*r + 4 = 3*o. Let z = 152 + -146. Find the third derivative of -2*n**4 - z*n**4 + o*n**2 + 3*n**4 wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-14 - (-12 - 11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*z - 8, 104*z + 2*j = 105*z - 2. Suppose 2 = -2*a + 3*s, 4*a - 5*a - 1 = 2*s. Let f be 4 - (1 + (-2 - a)). Solve 3*m - z = f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/1)\/((-1)\/(-3)). Let h = o + 28. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h - 112. Calculate s(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:24 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 15.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140926087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4, 2, -6 in decreasing order.\nAnswer: 4, 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s - 33. Let t be i(-6). Let h = -15 - -10. Sort 4, h, t in decreasing order.\nAnswer: 4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a (base 14) to base 10.\nAnswer: -724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + p**3 - 2*p**3)*(-9 + 14 + 7) + 2*p**3 - p**3 - 3*p**3 + (0*p**2 + 0*p**2 + 4*p**2)*(-p + 3*p - 4*p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 51?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 740839, 1481754, 2222685, 2963638, 3704619, 4445634?\n\"Answer: u**3 + 2*u**2 + 740902*u - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233230 + -3312113?\nAnswer: -3012223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.023 and -3.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/11 and 11684 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11722, -11724, -11740, -11776, -11838, -11932, -12064?\nAnswer: -12240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186263 take away 3305.67327?\nAnswer: 182957.32673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.07 + -29. Let m = h + -0.27. Which is the closest to 0.1? (a) 4 (b) -1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 588*r**2 - 456*r?\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/2587 in 3, 0.36, 10?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7515 minus 27?\nAnswer: -29.7515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 257?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.198359 litres?\nAnswer: 9198.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and -25\/49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 (base 3) in base 12?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhvheununu. Give prob of picking 3 h and 1 v.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18011.8 years to months.\nAnswer: 216141.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/12 + t**3\/6 - t**2 + 6*t. Let j(g) = -14*g + 33. Let s be j(2). Determine w(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*17\/((-68)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494855 divided by -1.\nAnswer: -494855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/15)*c*c)\/(c**0\/c))\/(c\/(c\/(c*c**(2\/5))))**(-38) assuming c is positive.\nAnswer: c**(169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11168 and 6016?\nAnswer: 2099584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13614551?\nAnswer: 23, 591937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3566 and 5885683.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212046019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 56841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.4 + 10.29. Let s = 0.88977 - q. What is s rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*s**3 + 23*s**4 - 105*s**3 + 31 wrt s?\nAnswer: 92*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8910, -8894, -8878?\n\"Answer: 16*k - 8926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 191*o - 36*o**2 + 2 + 188*o + 1 + 3956*o**4 wrt o?\nAnswer: 94944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 2\/5, -169?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 388 + -384. Let t(v) = -2*v + 9. Give t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0)**7*(d**(-2\/11)*d)\/(d*d*d*d**(-13)\/d*d))**(-4\/23))**(4\/33) assuming d is positive.\nAnswer: d**(-1904\/8349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 u when three letters picked without replacement from uajmlub?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 70 = -w. Suppose 4 = 4*r, -2*o + 4*r = -69 - 35. Let s = o - 40. Calculate the highest common divisor of w and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -14) + 4 - (32 + -28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 5*d - 16, -2*m + 4 = 0. Suppose -2*p = -d*y + 4750, 0 = -4*y + p - 0*p + 4755. Round y to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/7 - 92*z\/7 - 1872\/7.\nAnswer: 4*(z - 36)*(z + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flf when three letters picked without replacement from ffffllllfflfff?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12893317*c + 20806591 wrt c?\nAnswer: 12893317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-123)*-6*-1*39\/78?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + 229. Calculate the greatest common divisor of 41 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-8)*(-165)\/21. Let v = l - -377\/28. Let b = -7 - -5. What is the smallest value in 0.5, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.514um to nanometers.\nAnswer: 732514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23020 and 30.\nAnswer: 69060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by (-40)\/(-8) - 3\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 13. Let g(p) = 2*p**2 - 6. Let h = 29 - 23. Suppose -h = -24*d + 22*d. Give d*v(o) + 7*g(o).\nAnswer: 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14251798*y + 7875301 wrt y?\nAnswer: -14251798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (-166 - -174).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 18 = -4*p + 16, -5*g + 2*p + 48 = 0. Let d = -59 - -104. Suppose 3*w = 12*w - d. What is the smallest common multiple of g and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -5)\/((-1)\/(-85)). Let o = 293 + h. What is the highest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(11\/(-44)*(-3)\/((-6)\/(-8)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 4 - 4)*(3*t**3 - t**3 + 0*t**3) + (-1 + 1 - 2*t)*(0*t**3 + 4*t**3 - 3*t**3) in the form w*t**3 + p*t**4 + b*t + r*t**2 + n and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -266 (b) -0.6 (c) -3 (d) 10 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*((-18)\/70)\/(1170\/(-273))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3151.4 - -3151.5. Let s = 3.239 - -0.061. Let i = s - 3. What is the closest to c in -4, i, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i = -51*i - 2344. Let b = i - 667. What is b rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/((j\/((j*j*j**(-6))\/j))\/j))*j)**(-31)\/(j**(-14))**(1\/51) assuming j is positive.\nAnswer: j**(-9472\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56722\/5 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035827261 to the power of 1\/2, to the nearest integer?\nAnswer: 32184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 34*c + 170. Let r be b(-38). Let t be 6\/((-60)\/r*36\/3152). Which is greater: -157 or t?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 230900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*(sqrt(77) + -2*sqrt(77))*-3*-2)\/((sqrt(176)*2 - sqrt(11) - 5*1*sqrt(11))*1))**2.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(-33 - (-66 + 3)). Let y(v) = -v**3 - 14*v**2 + 17*v + 28. Calculate y(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58744, 66608, 74472, 82336?\nAnswer: 90200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/b**(-8))))\/(b*b\/b**3))**(-3\/10)*(b**0)**(-35)*b*b**(-1\/8)*b\/b**(-1\/7) assuming b is positive.\nAnswer: b**(-55\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) 1 (b) -0.07 (c) -2\/17 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293664.\nAnswer: 2, 40427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 4. Let x be 99\/27 + (-8)\/(-6). Suppose -2*u - 21 = -5*p, 5*u - 6 = -x*p + 29. What is the least common multiple of u and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2407813 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -201991 in ascending order.\nAnswer: -201991, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/351120 and -23\/42.\nAnswer: 351120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579865?\nAnswer: 5, 11, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-8) - (-3)\/(-4). Suppose a*p - 4*p = -12. Calculate the least common multiple of p and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(-15647)\/4 - (-36)\/(-4).\nAnswer: 2, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*f = -2*j + 769*f - 185, j = -2*f - 40 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 766788000 rounded to the nearest one million?\nAnswer: 767000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14425, 20362, 26299, 32236, 38173?\nAnswer: 44110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 876757 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 25. Let x be 70\/(-21) + 1\/3. Let c(u) = -5*u + 2. Calculate the remainder when l is divided by c(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*v + 388 - 711 + 657)*(2*v**2 - 2 + 2) to the form m*v**2 + o*v**3 + q*v + l and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and 1\/6828?\nAnswer: 13656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -7*n + 3*n + 31, 4*v + 4*n = 36. What is the smallest value in v, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1. Suppose k + 12 = -6*v + 9*v, 3*v - 12 = 3*k. Let l(n) = -3*n - 2. Calculate v*b(m) - l(m).\nAnswer: 3*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 5. Suppose -s + 2*b - 6 = -0*s, b = -5*s + 14. Let v be d(s). Suppose 0 = -3*a + v + 10. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-7511\nAnswer: -7511.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36 and 10207.1109388.\nAnswer: 10171.1109388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = 2*b, -82*s = 4*b - 80*s - 6. Sort 1544, 1, -1, b in ascending order.\nAnswer: b, -1, 1, 1544","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1539203*k + 1217222.\nAnswer: 1539203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311 - 312. Let q = -46 - -26. Let a = q - -16. Sort o, -0.2, a in ascending order.\nAnswer: a, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27614 divided by 6.\nAnswer: 13807\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48258 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - a - 4 + 5 - 3 as s + z*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -5*y**2 + 3 - 2 + 4*y**2. Let m(w) = -7*w**2 + 9*w**2 - w**2. What is p(m(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -55*z + 125. Let u(k) be the first derivative of -1\/3*k**z + 5\/2*k**2 + 0*k - 7. What is the second derivative of u(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 474, 1941, 4872, 9759, 17094, 27369?\nAnswer: 41076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, 123, -3\/2 in decreasing order.\nAnswer: 123, 0.4, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/62*-4*(-88)\/(-16)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 37*m + 15*m + 10*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -608 in 3, -5, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72256?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*i - 9*i**5 + 16*i + (-3*i + 3*i + 2*i**2)*(i - 3*i**3 - i).\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 31*x = -35*x - 20, 4*y + x + 5 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 258 = 2*x, 4*x - 344 = -4*o - x. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 69 + 9 - (-3)\/(-18)*0. Calculate the highest common divisor of l and 5330.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/11, -2\/13, -0.4, -0.5 in decreasing order.\nAnswer: 8\/11, -2\/13, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 192702.28537 rounded to the nearest 100?\nAnswer: 192700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 862991 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-38)\/3)\/(7\/(-63)). Let r be (-25)\/(3*(-5)\/45). Suppose -g = -2*m - 4*x, -r = -4*m + 5*x + 205. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 - 40*g**2\/9 - 218*g\/9 - 20.\nAnswer: -2*(g + 1)*(g + 9)*(g + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/644 and 115\/396.\nAnswer: 63756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 61.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -606*m + 8469*m**2 + 6*m**3 - 8469*m**2 as f*m**3 + c + x*m + g*m**2 and give x.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5936 (b) 0.7 (c) -0.5 (d) 4 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197917\/128550 - -1\/2571. Find the common denominator of 139\/30 and c.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.82848 kilograms to milligrams.\nAnswer: 36828480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2958\/9893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1384)\/16*(-1 + -1). Let d = -33 + o. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.84 * 4\nAnswer: -123.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/6 + 5. Let h(g) be the third derivative of -g**3 + g**2 - 1\/15*g**5 + 0*g + 0 + 1\/120*g**6 - w*g**4. Give h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 532*p**2 - 1071*p - 1602.\nAnswer: (p - 3)*(p + 1)*(p + 534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 208988 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/20816 and 64\/3.\nAnswer: 62448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*b**2\/13 + 22086*b\/13 - 4734\/13.\nAnswer: 2*(b + 789)*(14*b - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414 a factor of 6173524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*w**2 - 70*w**2 - 142*w**2.\nAnswer: -315*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.650643 micrometers?\nAnswer: 0.005650643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/210492789 and 11\/6.\nAnswer: 420985578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(117)*6 + -4*2*sqrt(117) - (((1*(1 + sqrt(117)) - sqrt(117)) + sqrt(117) - sqrt(117))**2 + 2*(-1*sqrt(117))**2)).\nAnswer: -237 - 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8438 + 8773. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 115617221 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 2*s + 96 = 78, -j - 4*s - 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 14*n - 68. What is r(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/150 - z**4\/15 + 4*z**3\/15 - z**2 + 3*z. Let n(g) be the first derivative of t(g). What is r in n(r) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366 + -418. Which is the nearest to -2? (a) j (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**7\/420 + y**6\/90 + y**5\/60 - y**4\/6 + 9*y**3 - 10. Let s(o) be the third derivative of n(o). Factor s(l).\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3998, -7993, -11988, -15983, -19978, -23973?\nAnswer: -27968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5*g - 2. Let p be z(4). Let c = -3 - p. Let r(w) = -33*w - 1105. Calculate the remainder when r(-34) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5185018.\nAnswer: 2, 229, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -1 + 3. Let h be ((-2)\/6 + -1)\/m. Let d(g) = g**3 - 8*g**2 + 8*g - 9. Let w be d(7). Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1415197228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13008356, -13008355, -13008354, -13008353?\nAnswer: -13008352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 3, 0, 1.4, -3\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - k + 4, -4 = -5*d + 5*k - 24 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*u + 23 - 38*u - 34*u in the form l*u + p and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 50850.32t?\nAnswer: 50850320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = -p, 0 = -71*p + 65*p + 5*u - 38 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 13*a = 336. Round a to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 16) + -3 - (101 + (-48 - 103))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8063*v**2. Let j(i) = i**2. Determine z(j(p)).\nAnswer: -8063*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(((-8)\/(-14))\/((-18)\/63)). Solve 12 = -3*u + 3*y, 3*u - u + y = -l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40283, 161136, 362573, 644600, 1007223, 1450448, 1974281?\nAnswer: 2578728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39624 and 11677224.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 18. Suppose 31 = s*r - 89. What is the greatest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 66. Let d(v) be the third derivative of 0*v**6 - 2*v**2 + 0*v**4 + 1\/30*v**7 - 1\/3*v**3 + 0*v**5 + 0 + t*v. Differentiate d(i) wrt i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1228, 90, -1050, -2192?\nAnswer: -3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1739\/74 - 1\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 3*b**2 + 5*b + 6. Suppose 2*x - 18 = -x. Let a = x - 10. Determine y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 6*v**2 - 76*v - 405. Give q(-8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 224 = -4*l, -2*z - 56 = 4*l + 174. Let m = l + 61. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178.1 + -174.1. Which is the smallest value? (a) n (b) -0.4 (c) -0.5 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 54*g - 55*g - 22, 4*a = 4*g - 32 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 759?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1747*j + 2914*j = 1878*j + 56169 for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44141233 * -0.3\nAnswer: 13242369.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -2\/7 (b) -4 (c) 1\/31 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 12. Suppose -2*w = -u*b + 5 - 6, 2*b = -2*w - 24. Let m = -4 - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/161694 and 29\/12738.\nAnswer: 343276362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(0 - (-3)\/6). Let k be (-1 + 24)*1 + -1. Suppose 0 = 3*b - i*b + k. Round b to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25\/108 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -327 - -3)\/((-3)\/18). Let z = -33546\/17 - s. Determine r, given that -10\/17*r**3 + 0*r + 4\/17*r**4 + 0 - z*r**2 + 2\/17*r**5 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxokodkdkppkxkkkdde. Give prob of picking 4 k.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 205*q - 204*q, 2*y - 1112 = -4*q. What is the remainder when y is divided by (-668)\/(-14) + (-2)\/(-7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.66 and -0.01.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 3. Let f = -4 - x. What is the nearest to f in -0.5, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o + 6*o)*(0*o - 2*o + o) + (2 + o**2 - 2)*(4 - 4 - 1).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/53 - 1016\/159. Calculate the common denominator of 10\/21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 4, h: 3, o: 1, p: 1}. Give prob of sequence ox.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 1\/2*f**2 + 8\/3*f**3 + 1 + 0*f. Let t(u) = -9*u**2 + 305*u + 35. Let n be t(34). Give r(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 90085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 87 = -36*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 8:08 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - 3050?\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -651.\nAnswer: -11\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6634.\nAnswer: 2, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 1891*l**3 + 167120*l**2 + 169012*l.\nAnswer: l*(l - 1798)*(l - 94)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 62263.\nAnswer: 3\/62263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 285 + 0 + -1 + 2. Suppose -6*t = -4*t - u. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*b + 2, 2*q - 3*b = b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*j + 4 + 3, -j - 4*u + 16 = 0. Let s = 55 - 56. Sort s, j, -17.\nAnswer: -17, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {o: 2, b: 5, s: 1, j: 3, i: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 1331*c + 1457961\/2.\nAnswer: (c + 771)*(c + 1891)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-25))\/(m**10*m))\/(m**13\/m**(-3)) assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1. Suppose -2 = -3*u + t - 2*t, 2 = 5*u + 2*t. Suppose -u*c = -11 - 5. Let a(p) = -1 + 7*p**2 + 3 - c*p**2. Calculate -2*a(s) - 2*i(s).\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:28 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/(-8)*(-4)\/(-5). List the prime factors of (16\/u)\/((-14)\/(-63)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 171*w + 3. Suppose -13 = -23*x + 10*x. Is 8 a factor of v(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236 at least as big as 420351\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Suppose 5 = -3*x + 2. Let f(r) = r - 1. Let j(c) = c + 13. Let h be j(-15). What is h*f(p) + x*z(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b + 20. Let t(p) = p**2 - p - 20. Let y(v) = -3*k(v) - 4*t(v). Is y(0) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*q**5 + 125*q**5 - 173*q**5 + (-q**2 + 2*q - 5*q**3 + 2*q**2 + 3*q**3)*(0*q - q + 3*q)*(-4*q - 2*q + 4*q).\nAnswer: 94*q**5 - 4*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkw when four letters picked without replacement from rwkkkkwkw.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 487?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + (1 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uug when three letters picked without replacement from uuuauaagguwuuguuuwuw?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.8 - -8. Which is the closest to f? (a) 3\/4 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -503, -457, -411, -365?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3828 = -4*p, -p = 5*g - 1206 + 249. Is p a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 131*m**2 - 88*m**2 + 54*m**2 - 86*m**2)*(-117 + 117 - 5*m).\nAnswer: 1250*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4278 divided by -186.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*k**5 - 55*k**5 + 2*k**3 + 17*k**5)*(14 - 1 + 5).\nAnswer: -1908*k**5 + 36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 49*q + 4. Suppose 111*v - 63*v = -48. Let l(x) = -x - 1. Calculate v*o(t) - 4*l(t).\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 3*n + 2. Let r be v(-3). Suppose r*m + 0*m = 48. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203.56496 rounded to 0 decimal places?\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40342 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(637)*1 + -1)**2.\nAnswer: -168*sqrt(13) + 91729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by -19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a56 (base 11) in base 2?\nAnswer: 10011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*f + 283, 2*z + 5*f - 582 = -14. Calculate the remainder when z is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/3)*o**(2\/5)*(o**(2\/19)*o*o)\/(o**7\/o*o) assuming o is positive.\nAnswer: o**(-901\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(6 - 3 - 5). Let h(j) be the third derivative of 1\/600*j**6 + g + 0*j**3 + 1\/120*j**4 - 1\/150*j**5 - 11*j**2 + 0*j. Determine c so that h(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-2 - -3)*2. Suppose 129 + 195 = g*t. Let r = 969 - t. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3\/3 + 34*u. Let r(l) = -l + 0 + 0. Give r(x(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3344000 - 41?\nAnswer: 3343404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:46 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -32.82. Let n = 4.63 - x. What is n rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(143) - (sqrt(143) - (sqrt(143) - 3*sqrt(143)))) + sqrt(143))*-5*3)\/(1*sqrt(1100)*1 - (sqrt(1100) - sqrt(1100)*-1)*1).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.27 (b) -2\/7 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 43. Let w(z) = -3*z + 4. Let d(c) = -c + 1. Determine n*d(k) - w(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 38\/1269?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 1\/12*y**4 + 2\/3*y**3 + 0 + 72*y + 3*y**2. Determine v(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 843 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j + 62*j**3 + 51*j**3 - 1 - 120*j**3 + j**4 - 8*j**2 to m*j**3 + x*j**2 + u*j**4 + h + g*j and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - -4)*6\/4. Calculate the highest common divisor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/12 and 81\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 305.9 - 307.2. What is the nearest to -2\/3 in 0, -1, 4\/7, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1364839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4849632.77 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -31, -61, -101, -151?\n\"Answer: -5*k**2 - 5*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.015 - 0.01543. What is z rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6832108408 + 6832108478.99999934. Let f = -8.4 - 62.6. Let u = f + y. What is u rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -125, -183?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79401641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:42 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmitmzftzimmzmtfmzm. What is prob of picking 1 t and 2 z?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -374, -1164, -2690, -5198, -8934, -14144?\nAnswer: -21074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/5)\/q))**(-13\/4) assuming q is positive.\nAnswer: q**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*(-20 - 20). Let t(f) = -f - 17. Let a be t(-14). Sort d, -2, -5, a in ascending order.\nAnswer: d, -5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 630, 1316, 2006, 2700, 3398, 4100, 4806?\n\"Answer: 2*n**2 + 680*n - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 13390?\nAnswer: 66950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2972 is divided by 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + 12 + -4 + -5 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.25 + -0.25. Let f = -28 + 27.68. Let h = f + -1.68. What is the smallest value in h, 1.3, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - w**4 - 3*w**4 - 3*w**4 + (2*w - 2*w - 2*w**2)*(3*w**2 - 2*w**2 + 0*w**2) + 2*w**4 + w**4 + w**4.\nAnswer: -5*w**4 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/120 + 2*o**5\/15 + o**4\/3 - o**3\/3 - 3*o**2 + 16. Let r(k) be the second derivative of s(k). Calculate r(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yachoayocxxo. Give prob of picking 2 c and 2 a.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388504, -388511, -388482, -388411, -388292, -388119?\nAnswer: -387886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {c: 1, i: 1, w: 2, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102036 is divided by 1594?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*y + 81*y - 4*i + 14, -5*y - 4*i = -49 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1\/2, 3, 1\/4, -6, 133, -0.06?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 255384008*x - 4076311971384004.\nAnswer: -4*(x - 31923001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*r + 48919 + 48916 + 48897 - 195654 + 48922.\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - -0.46. Round p to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18958 - -19120. What is the remainder when 1294 is divided by n?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-11) - 62\/(-341).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 + (-1)\/(-1))*184*81\/14904?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-24))\/((-49)\/(-588)) - 45\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 349*a**2 - 4557*a + 285. Calculate o(13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8907.\nAnswer: 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 350414 (base 8) in base 14?\nAnswer: 3155a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-216*l + 927*l - 4770*l)*(-l**3 + 0 + 0).\nAnswer: 4059*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-24) - 0)\/((-2)\/6). Let b be (-3 + u)*(-7)\/(28\/8). Solve -b*h - 4*w = -13 + 1, 0 = h - 2*w - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49968, 49969, 49982, 50013, 50068, 50153, 50274?\n\"Answer: z**3 - 6*z + 49973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 73822 times 0.5\nAnswer: 36911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from {m: 3, k: 9, l: 5, w: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 2*o**4 + 3*o**4 + (2*o**2 - 2*o**2 + o**3)*(-2*o + 5*o - o) + 2*o**4 - o**4 + o**4 + 2*o**4 + 4*o**3 - 4*o**3 + 1 - 1 - 2*o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/7 - 9554*h**2\/7 - 9652894*h\/7 + 1380350 = 0. What is h?\nAnswer: -3325, -1453, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(8\/((-80)\/150)))\/((-9)\/(-30))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*-2*sqrt(833) + -1 - (-1 + (sqrt(833) - 1*(sqrt(833)*-1 - sqrt(833)) - (sqrt(833) + 0 + 2)))**2.\nAnswer: -3343 + 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -45 and -750\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162 is divided by 111.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 116, 242, 418, 644?\n\"Answer: 25*f**2 + f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25637 (base 14) in base 16?\nAnswer: 16681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 535 + -540. What is the nearest to 2\/3 in 0.3, 5, 0.2, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*m**2 - 292*m**2 - 49*m**2 - 9 + 160*m**2 + 13.\nAnswer: -394*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 158 = 4*j + 5*q, -162 = -4*j - q. Factor j*c**2 - 100 - 25*c - 16*c**4 + 4*c**2 + 51*c - 48*c**3 + 94*c.\nAnswer: -4*(c - 1)**2*(2*c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 2352.\nAnswer: -352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45\/2*t + 0 + 3\/2*t**2 = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e8 (base 16) to base 13\nAnswer: 5bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvjn when four letters picked without replacement from {v: 10, m: 3, b: 1, j: 1, n: 4}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12.07. Let b = y + 0.93. Let t = -0.1 + 0.2. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 136430 = 5*p, 0 = -5*p + 3*j + 109306 + 27124. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 936 + 769 + 550 + 2281*t**2 - 139 + 1841*t**2 - 2*t wrt t.\nAnswer: 8244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 450.7 - 450.74726. What is v rounded to 3 decimal places?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -17 (c) -1 (d) 472165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2088\/22 + 6230\/(-6853).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjofrodfz. What is prob of sequence djfr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 488029997 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2140 + 1068 = -401*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/2)\/(1\/(-35)). Let h = 317 - 321. Let z be 22\/(4 + (h - -2)). Solve 4*b - k = 5*s - z, 17 = 5*b - 3*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - -0.4. Let v = 15.2 - 15. Put n, v, 0.8 in descending order.\nAnswer: n, 0.8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1043 (base 7) to base 9\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5278406 is divided by 124.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + -6 - -7 - -71) + -165?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1455.1 + 1455. Let s = -2.39 + 15.29. Let v = -0.9 + s. What is the third biggest value in v, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391 (base 14) to base 9.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.3, 89, 3, 4\/3 in descending order.\nAnswer: 89, 3, 4\/3, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32963 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11745 and 9315.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660 (base 12) in base 10?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/p*p**(5\/3) assuming p is positive.\nAnswer: p**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + 4*u**3 - 2*u**4 + (u - 8*u + 0*u)*(-3*u**3 - 2*u + 2*u).\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 5, f: 13}. What is prob of sequence cfff?\nAnswer: 143\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27320952 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -56, -97, -154, -227?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 586953019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*h = 18, -h + 8 = 4. Let d be (a + -1)\/((-2)\/4*-1). Solve 0*t + 4*t = -4*r, d*t = -5*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, -4*d + z = -9 - 7. Suppose 0 = -3*r + 5*q + 15, d*q + 15 = r + 2*r. Let m(h) = 8*h - 20*h - r + 11*h. Give m(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u\/(u**3*u))\/u)))\/u**(-8))**(-5\/2) assuming u is positive.\nAnswer: u**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:50 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14529533783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 32*w - 29. Let c(v) be the first derivative of 6*v**w + 1\/2*v**4 - 10 - 3*v**3 - 4*v. Determine t, given that c(t) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773747 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 11. Let k be r(-18). Suppose -5*z + 28 = 3*j, -k*j + 19 = 3*z - 3*j. What is z rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12859381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 1141236.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10547.7 weeks to hours.\nAnswer: 1772013.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 260498964 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -0.16, 0.13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, h: 5, t: 2}. Give prob of picking 2 h.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**2 - s - 1. Let r be m(-1). Let u be 45\/6 - (-4)\/r. Let c = 17 + -9. Is c < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10027)\/(-10569) + 2\/39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**8\/10080 - d**7\/1008 - d**6\/540 - 95*d**3\/3 + d - 10. Let x(q) be the second derivative of g(q). Factor x(n).\nAnswer: -n**2*(n + 1)*(n + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415716910.\nAnswer: 2, 5, 7, 67, 137, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*r + 6 = 0, 3*z = -5*r + 4*r + 6. Which is greater: z or 0.6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccchccchccccccccc. What is prob of sequence hc?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/5)\/z*z\/(z**(1\/4)\/z))\/(z**(2\/19)*z**1*z) assuming z is positive.\nAnswer: z**(17\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574\/15 + (-4)\/(-10)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 1964*x + 2. Let f(s) = -9*s**2. What is k(f(o))?\nAnswer: 81*o**4 + 17676*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -42 (b) 0.2 (c) 0 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 7 - (10 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -275 and 0.04.\nAnswer: -274.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-8))\/(-4 + 38711\/9678)*-2 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 38*c**2 - 88*c + 2. Does 5 divide r(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 134*v + 7. Let h(c) = 5 + 401*c + 49 - 18 - 13. Let b(k) = 4*h(k) - 11*w(k). What is the first derivative of b(y) wrt y?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*m - 440 = 24*m. Let n(z) be the second derivative of z**5 + 0 + 0*z**2 + 0*z**m - 5\/6*z**3 - 10*z. What is the second derivative of n(t) wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12592 - 3995 = -9*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -5354?\nAnswer: -5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58107401 divided by 58107401.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a - 63. Let w(d) = -7*d - 72. Let x(o) = 6*l(o) - 5*w(o). What is x(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 466\/75 + -22\/25. Let g = 1\/456 - -7597\/1368. Let -o*d**3 - g*d**5 - 8\/9*d**2 - 10*d**4 + 0*d + 0 = 0. What is d?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 5.2. Let r = t - 0.1. Let k = r - -2. Which is the closest to 2? (a) 2 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Let b(x) = 4 - 3 - 4 - u*x. Let h(w) = -10*w - 6. Let d(y) = -5*b(y) + 2*h(y). What is the derivative of d(z) wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296 * 14\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -85 (c) 19\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 17*r - 10*r**2 + 0*r**3 + 25\/12*r**4 - 1\/6*r**6 + 0 + 0*r**5. Suppose h(g) = 0. Calculate g.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 2*i**3 - 3*i**3 + 4*i - 2*i**3 - 4*i + (-37*i**3 + 17*i**3 - 7*i**3)*(3 - 2 + 1).\nAnswer: -58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 233*b**8\/112 - 271*b**4\/24 + b**3\/3 - 196*b**2 + 2*b. Find the second derivative of a(h) wrt h.\nAnswer: 13980*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - n + 7. Suppose -4*x = -3*q - 12, -2*q - 5*x + 15 = -3*q. Is r(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -90. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 15 - 50. Let g = 62 + q. Calculate the least common multiple of g and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6886 + c0?\nAnswer: 6976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -24. What is the common denominator of -4\/11 and b\/5 + (-1)\/(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -26, 8, 80, 202, 386?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 5*a - 2*a + 0 + 0 + (-a + 0 + 0)*(-1 + 4 - 1) + a - a - 2*a + 0*a + 3*a - 4*a + 4*a - 6*a + 3*a)*(1 - a**2 - 1).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*p**6 - 502*p**3 + 6*p**2 - 431*p + 5 wrt p.\nAnswer: -1440*p**3 - 3012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/3))\/(o\/(o*o**(-2\/19))))\/(o\/((o**(2\/13)\/o)\/o*o))**(-33))**(1\/15) assuming o is positive.\nAnswer: o**(46054\/11115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 6*y**3 - 2*y**2 + 8 + 2*y + 8 to the form z*y**3 + t + a*y**2 + i*y and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 121.3. Round v to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440*t - 19162 = 714*t + 860*t for t.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594788193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 4*i**2 + 8*i - 49. What is t(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18861*c*n**3 - 41*c*n**2 - 7*c*n + 19*c + 3738*n**3 - 3*n**2 - 136*n wrt n?\nAnswer: -113166*c + 22428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f - 5, 565 = s + f. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 28. Let f be l(10). Find k such that -2*k**3 - f + 4*k + 8*k**2 - 12*k + 2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-2)*(7 - 3). Let k = -6 - -6. Let i be (-3 + k)\/((-9)\/12). Solve -12 = 2*r - 4*h, -3*r + 0*r - b = -i*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 - 7*l**3 + 3*l**3 - 2*l**3 + 13*l**3.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - 41*z = 9. Let t(c) = -c - 1. Let m(y) = -y - 7. Give z*t(a) + m(a).\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582 and 421584?\nAnswer: 40893648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -22*d**2 + 153*d + 6. Let q(j) = -10*j**2 + 77*j + 3. Determine 6*o(r) - 13*q(r).\nAnswer: -2*r**2 - 83*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 6*q - 7. What is i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(60)\/(sqrt(24)\/sqrt(2))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5))**(-1\/53)\/(((i**(12\/7)\/i)\/i)\/i*i*i\/(i*i\/((i*i**(-33))\/i)*i)))**(-1\/34) assuming i is positive.\nAnswer: i**(-6563\/6307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 86*h - 113. What is the remainder when 238 is divided by u(-31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Suppose -t - t + q*h + 6 = 0, 4*t - 12 = 5*h. Suppose 96004 = -2*r - j, -3*r - 144008 = t*j - j. Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -345*l - 258 - 562. Are -0.0438 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 26241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 0, 5*n + 0*p = -5*p + 220. Let r = -27 + n. Suppose -o = 2*c - 5*o - 135988, -4*o = -r. What is c rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/9)\/(-35*14\/(-441))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4\/(y\/y**(-3\/2)))\/((y*y*y*y\/y**0)\/(((y**(-6)\/y)\/y)\/y)))\/((y*y**(2\/11)\/y)\/y**(-1\/4)*y\/(y**(3\/7)*y)*y**(-2\/3)) assuming y is positive.\nAnswer: y**(-10013\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1522 divide 3635496382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 7 (b) -0.13 (c) -0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*y + 414, -3*w + 92 = -2*w + 4*y. Suppose w = 5*s + 4. What is the remainder when 45 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267347 is divided by 12967?\nAnswer: 8007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5 + -8 + (-205)\/(-25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*n - 171*n + 47*n = 7280 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 22. Let z be l(-7). Let k = z + -42. Let m(h) = -9*h + 30. What is the tens digit of m(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l - 196 = -27*l. Find the first derivative of -l - 12*s**2 - 4*s**2 + 73 wrt s.\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64293 is divided by 1824?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -255891.3632 rounded to the nearest 1000?\nAnswer: -256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 32 = 4*b, 4*b + 10 + 3 = 5*s. Suppose 3*x - 835 = -4*a, -3*x + b*a = 5*a - 845. Is x a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618 by -3.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.21, -3\/316.\nAnswer: -5, -0.21, -3\/316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {k: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11999946 - 0.12. What is n rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-3) - 6\/(-9). Suppose -o*t - 4*v = -5 - 18, 3*t - 7 = v. Solve 6 = t*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by 6\nAnswer: -83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3aa84e + 2bb?\nAnswer: -3aa583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323917379.\nAnswer: 701, 462079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -206?\nAnswer: -5\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.53 + -14.03. What is the closest to 1 in k, -152, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-232) - -1*46\/(-8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 22 + 97 - 17 - 28 + 2996*h)*(2 - 2 - 1).\nAnswer: -2996*h + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 140*u**2 - 272*u - 1996. Calculate z(142).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -127. Suppose c = -4*y - 34*y + 1140. Calculate the lowest common multiple of y and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41063*v**3 + 129*v**2 + 17*v - 2 wrt v?\nAnswer: -246378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(726\/(-110))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m - 2. Let x(l) be the first derivative of l**3\/3 + 13*l**2\/2 + 28*l + 200. What is the remainder when x(-13) is divided by j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211*l + 25*l - 295*l + (7*l - 2*l - 4*l)*(3 - 4 + 2) - l + 2*l + 0*l + 2*l + l + 0*l - 2*l - 3*l + 6*l.\nAnswer: -475*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010 - -10011010?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.10662 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(75) + sqrt(75)*1 + sqrt(75)) - (3*sqrt(75) + -3)) + -1 + -1*(sqrt(75) + 6*(0 + sqrt(75))))*2)**2.\nAnswer: 160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*a - 5667 - 5590, -8442 = -3*f + 3*a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19192?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -2018\/9. Which is the fourth smallest value? (a) i (b) -2\/3 (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131392 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3983 = 397*v - 390*v. Let q = v - -880. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (0 + 2)\/2. Let d be 1\/(-1) - -2 - -2. Put d, 2, c in descending order.\nAnswer: d, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 - 16 = 0. Suppose 2*z - 49 = -q, -b = -z + 2*z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 + 2*a - 12. Let j be x(4). Let n be 9\/j + 176\/(-128). Suppose -5 = 4*c + 3. Is c > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g + 10*g - 371*g - 193*g)*(4*g**2 - 3*g**2 - 2*g**2).\nAnswer: 538*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 16) in base 8?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120324 - -1?\nAnswer: 120330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**34)**(42\/11)\/(w*w\/(w*w**(-8\/7)*w*w)*w*w**(-31)))**(-4\/15) assuming w is positive.\nAnswer: w**(-9836\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43226 = c - 5*h, 0 = c - 2*h - 15707 - 27540. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24516571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1021931.\nAnswer: 5\/1021931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -2095736 and -26974.\nAnswer: -2122710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 4*r - 8. Suppose 0 = -12*x - 868 + 940. Give v(x).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -49.00078. Round u to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 10\/13 (b) 2 (c) 37\/20 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 25652 = -a, -a = -2*p - 2*p - 25655. Let h = 4243 - a. Round h to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e - 4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 minutes after 1:58 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2.215 (b) 2\/9 (c) -3 (d) 23\/4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -9\/4*x**5 + x + 1\/2*x**4 + 27\/4*x**3 + 0 - 6*x**2 = 0?\nAnswer: -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1671 at most as big as -1638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16675 and 116.\nAnswer: 66700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.9. Let t = 275\/558 + 2\/279. Suppose 2*m - 8 = 2*n + 4, -n - 15 = -4*m. Which is the closest to m? (a) p (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h + 165. Let y be l(10). List the prime factors of 1 - (y + 1)*-43.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 41440?\nAnswer: -41450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 2. Let v be m(1). Let c(o) = 108*o**3 + 301*o**3 - 4*o + 431*o**v + 3. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/9 - 20*m**3\/9 + 38*m**2\/9 + 20*m\/3.\nAnswer: 2*m*(m - 6)*(m - 5)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 47*t + 46*t - 1584 = 0 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80, 111, 142, 173, 204, 235?\n\"Answer: 31*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5204532.\nAnswer: 2, 3, 23, 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2025580 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, d: 3}. What is prob of sequence jj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526571367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 492 and 42827534?\nAnswer: 256965204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/5 - 42*v**2\/5 - 81*v\/5 - 8.\nAnswer: -(v + 1)**2*(v + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 o when four letters picked without replacement from {o: 5, s: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 107*t - 2233. What is h(21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 268805, -4, -2\/9, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48456 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93087*c**4*y - 1827*c**2*y**3 + 75*y**3 + 919348*y - 2 wrt c?\nAnswer: -372348*c**3*y - 3654*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 240*g**2 - 6588*g + 75816.\nAnswer: 4*(g - 78)*(g - 9)*(g + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 3*r**2 + 3*r**2)*(-5*r**2 + r**2 + 2*r**2) + (-4*r + r - 5*r)*(r**3 + 4*r**3 - 4*r**3) + 3*r**4 - r**4 - r**4.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 385, 766, 1147, 1528, 1909, 2290?\n\"Answer: 381*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -274, -265, -240, -193, -118, -9?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -33, -49, -43, 3, 107?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 26 = -18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + -46)) + (-42 - (-97)\/((-4171)\/(-1548)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*d**3\/5 - 525912*d**2\/5 - 350596*d\/5 - 58432\/5.\nAnswer: -4*(d + 14608)*(3*d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 698784 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvyvvyvv. Give prob of picking 2 y and 1 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (51\/(-2))\/(5\/(-100)). What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 1 + 1 - 1 + (2 + 2 + 0)*(4*c + 8*c - 6*c) as u*c + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/89, -5, 0.3, -96, 0.2, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 73 = 2*w - u, -106 = -3*w - 2*u. Let h be 40\/w + (1 - 2). Which is the nearest to 0? (a) h (b) -3\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 38*o**2 - 65*o + 5. Let l be b(40). List the prime factors of (l\/2)\/(23\/46).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 30. Suppose 2*d - 5 = 3*x, -5*d + 7 = -3*x - 10. Suppose 12 = 5*b + d*a + 27, -4*b + 19 = -3*a. Solve -z*q + 7*q + b = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fklitliikklkltiiitkt. Give prob of picking 2 k and 2 i.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*20*2\/(-4). Let z(q) = -2*q + 6. Let g be z(w). Suppose -5*m = 1 - g. Put m, -3, 0 in descending order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/7, -8, 1.\nAnswer: -8, 1\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -506 divided by -49?\nAnswer: 506\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19387 is divided by 1760?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*a**3 + 4*a**2 - 4*a**2 + 2*a.\nAnswer: 86*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + 0.04. Let i = -0.6 - -0.3. Let k = -2\/115 + 5\/23. What is the second biggest value in r, i, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -52. Suppose 33 = 5*p - 4*r, -3 = p - x*r - 16. Solve -3*y - 6*z + 2*z - p = 0, 3*y + 14 = 5*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*k, 2*k = -9*r + 10*r - 231. Suppose 3*q - 15*q + 312 = 0. What is the highest common divisor of q and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27440546 divided by 197414?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 211607960 to the nearest 1000000.\nAnswer: 212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*4*sqrt(175))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64848 and 202684.\nAnswer: 3285913008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*g**2 + 3*g**3 - 67*g - 4*g**3 - 247*g**2 - 9*g**4 + 25*g**5 + 503*g**2 - 204*g wrt g?\nAnswer: 1500*g**2 - 216*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13380*j + 26751. Give t(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6698208315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 257*r**2 + 3480*r + 8100.\nAnswer: -(r - 270)*(r + 3)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 74*q**3\/3 - 3277. Let a(t) = 78*t**2. What is i(a(j))?\nAnswer: 450216*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 411 = 3*i, 0*i - 5*i - 289 = -2*y. Let a(v) = -72*v**2 - 1. Let w be a(-1). Let m = w + y. What is the greatest common factor of m and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 48 = -10*k. What is the lowest common multiple of 166 and k?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -196, 5 in descending order.\nAnswer: 5, 4, 0, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3 + 6616*m**2 + 588016*m + 12978944 = 0.\nAnswer: -44, 6704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2. Let c(j) = 1492*j. Calculate c(s(r)).\nAnswer: -4476*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6 - (-371)\/2. Suppose 0 = f - 2*f + s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f*m**4 - 4*f*m**2 + 3*f*m + 654*f - 1105026*m**4 + 199*m**2 wrt m.\nAnswer: -120*f*m - 26520624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9172 - -9190. Let c = 6 - 4. Suppose -w - 126 = -c*w. What is the highest common factor of i and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151368?\nAnswer: 2, 268921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and 0.5?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 17. Suppose -5*l + 151 = -0*l - 4*b, b - 156 = -g*l. Let r = -23 + l. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 9*p + 354 = 0. Let b = p + -113. Suppose -5*c + 0*h - 5*h = -510, -5*c + b*h = -510. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715)*-3*-5)\/(2*sqrt(700)*-5)*6.\nAnswer: -63*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 3170 + -3170. Suppose 2*v - 26 = 5*x, 3*v - 3*x - 31 = -10. Put v, -1, p in ascending order.\nAnswer: -1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and 39\/21112*36*3?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176946 and 20.\nAnswer: 1769460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202029 + 318788. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*n - 176*n + 212 = -76*n - 202. What is l in -7\/2*l**4 - 17\/2*l**n + 3*l + 0 + 1\/2*l**5 + 17\/2*l**3 = 0?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyd when three letters picked without replacement from {y: 9, d: 10}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.58 + 0.08. Which is the fourth smallest value? (a) 3\/7 (b) 0.05 (c) 3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**2 - 1\/2*a**3 - 1\/6*a**4 + 4 + 2*a. Let f(z) be the first derivative of q(z). Calculate f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 + -2002001112?\nAnswer: -2001222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - ((4 - 10) + 17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*(-21)\/(-14). Is b smaller than -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s - 305. Let z be u(-40). Which is smaller: -108 or z?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*x - 689 + 689 to f + j*x and give j.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65685059 and 53742321?\nAnswer: 591165531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)\/u)\/u*u**(2\/7))\/((u\/(u\/u**(-9)))\/(u*u*u*u*u**(-9\/2))) assuming u is positive.\nAnswer: u**(257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*v + n + 800, 5*n - 640 = -4*v. Let g(r) = -15*r**2 - 678*r + 2046. Let x be g(-48). Calculate the highest common factor of v and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*i + 4006 = 0, 2*b - 3*b + 4*i = -2003. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**2 + 6*y + 7. Determine h(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 1)*1\/(-2). Suppose o*v = 9 - 0. Suppose b + v*i + 300009 = 0, -3*b + 2*i - 82177 = 817817. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*j = -4*r - 490*j + 251*j + 93, -3*r + j = -64 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/390 + a**4\/156 - 4*a**3\/13 + 10*a**2 + 1. Factor d(q).\nAnswer: 2*(q - 3)*(q + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 - (-4 + 5). Is 1*(22 + (-6)\/v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1508)\/(-8) + -2*(-3)\/(-12). Suppose -u*x - 51040000 = -184*x. What is x rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*u + 15*g**4 + 42*g**3*u - 12*g**3 - g**2*u - 8*g*u - 2*u - 3984098 wrt g.\nAnswer: -48*g*u + 360*g + 252*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077 is divided by 90?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -39*v - 5. Let a be n(6). Suppose -4*s - 355 = -1779. Let g = s + a. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455720?\nAnswer: 2, 5, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19697083933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-27) - (5865\/(-270))\/(-23). Which is the third smallest value? (a) 31\/4 (b) x (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -39?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 11*u**2 + 13*u - 16. Give z(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/60 - g**4\/8 - g**3\/6 + 3*g**2. Let r(z) be the first derivative of t(z). Give r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196 - -118. Let k = m - -77.9. Which is the nearest to k? (a) 2 (b) 3\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(19)*-3 - (sqrt(114)\/sqrt(2))\/sqrt(3).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-46552)\/(-69))\/23*(-6)\/(-8). Solve 0 = h*y + 10 + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4, k + 6 = -10*u + 5*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100703244 divided by -6?\nAnswer: 16783874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b**2 + 201129*b - 201129*b. Let v(o) = 3*o - 41. Determine h(v(u)).\nAnswer: 153*u**2 - 4182*u + 28577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15*i**3 - i**2 - i + 1. Let y be o(1). Let b = y + 18. Let a(c) be the second derivative of 2*c**3\/3 - c**2\/2 - 27*c. Calculate a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 35, 0, -1 in descending order.\nAnswer: 35, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1100\/93 - 1\/186. Suppose 4*a - 5*h + 69503 = 0, 4*a + 52151 = a - h. Let v = 312973\/18 + a. Find the common denominator of v and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2080, -2252, -2424, -2596?\n\"Answer: -172*n - 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 * 0.05\nAnswer: 0.0395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or 108420?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 913 + -905. Solve -4467*h = -4475*h - g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i + 65. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c = 91*c - 255. Let a be (-4)\/30 - 6\/((-270)\/c). Suppose -3*p + 2*p + 2*j = -12, 4*j + 14 = -3*p. Sort a, p, -1 in ascending order.\nAnswer: -1, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 13*i - 12. Calculate v(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:25 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 2*n + 5*n)*(0*n + 2*n + n + 6) to the form g*n + x + f*n**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*w - 190 - 90 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1321112303 (base 4) to base 14\nAnswer: cd215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**5\/20 - 5*q**2\/2 - q + 2. Let u(w) be the first derivative of v(w). Differentiate u(a) with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3979719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(2 + sqrt(208)) - (sqrt(208) - (-1 + sqrt(208) + -4))).\nAnswer: -20*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 7, 2090, 1 in increasing order.\nAnswer: -12, 1, 7, 2090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 441\/(-24) - 1000\/1600 - 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 5:54 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:26 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3*f = 9 + 20, -4*w = 5*f + 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 10 + 11 + -2 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184599 and 344?\nAnswer: 1476792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -419*h + 4213. Let x be i(10). Let u be -9*(-3)\/(18\/14). Let m = u - -1. Is m bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16\/165 + 4\/15. Let h = b - 27\/44. Let x = 1.6 + 40.4. Is x bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 - -34. What are the prime factors of u?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19934*y**2 - 1 + 2 + 23060*y**2 as u*y + v*y**2 + c and give v.\nAnswer: 3126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2915300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 0*j - j)*(-12 + 7 - 20 + (-3 - 2 + 7)*(2 - 2 + 2)) to i*j + s and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2)*r)\/r)**26*r\/((r*r\/(r\/r**(-6)))\/r)*r**(-2\/7))\/((r**(-2))**(-48)\/((r*r**(-2\/13))\/(r*r**8))) assuming r is positive.\nAnswer: r**(-11233\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9951959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f - 31. Let r be o(6). Let s = -7 + 10. Which is the smallest value? (a) s (b) -1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 6, u: 3, i: 2, r: 1}. Give prob of picking 1 r and 2 u.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2 - 2 + 2 - 4*h + 9*h. Suppose 0 = 2*x - 5*d - 14, -5*x + 3*d = -d - 18. Calculate a(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let u(v) = -29709*v**2. Give t(u(c)).\nAnswer: 882624681*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 132*n + 136 = 0. Calculate n.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14160, 113252, 382204, 905946, 1769408, 3057520?\n\"Answer: 14155*t**3 + 7*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 70 + -29 + -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24448.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 13 - 4)*(3*w**3 - w**3 - 4*w**3) + 0*w + 0*w + w**3.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5163 (base 15) to base 5.\nAnswer: -1022233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 610376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 5. Let n be x(-4). Let q(f) be the third derivative of 5*f**4\/24 - 5*f**2 + 2*f. What are the prime factors of q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34685 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - (5 + -5) - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1673417 - 5?\nAnswer: -1673424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2553\nAnswer: -5\/2553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -966 divided by 966?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*b + 218*b - 55 = 0. Let g be (-21)\/(-7) + 3\/(-1). Let o be (-7)\/((-21)\/6) - g. Solve 3*x - 19 = -z, -b*z = -o*z - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 105981*b. Let a(m) = -m. Give a(r(s)).\nAnswer: -105981*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y + 2 + 4*y**2 + 12*y + y**3 + 1 - 8*y. Determine s(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 o when three letters picked without replacement from ppppppppppopppppop.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483361623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1157997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-145)\/(-10)*(2 - 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + 1 + 0 + 11 + (-69 - -137 - 96).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143553?\nAnswer: 3, 109, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110001101101011000 (base 2) to base 10.\nAnswer: 2562904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 12:29 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgsg. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 1.025 in increasing order.\nAnswer: -5, 1.025, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:06 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 - 13 - 10*m)*((-2*m - 2 + 2)*(1 + 3 - 2) + 5*m - 2*m - m + (-4*m - 4*m + 0*m)*(-2 - 1 + 1)).\nAnswer: -140*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 1416?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68955953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Let g be (8 - 168\/30) + (-528)\/(-80). Solve 0 = -3*s + 3*a - g, -d*a = -s + 3*s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258872 is divided by 1231?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9372363 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794635.\nAnswer: 5, 151, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4 (c) -2 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**2. Let w(q) = 2*q. Let m(n) = 3*n. Let x(f) = -3*m(f) + 4*w(f). Calculate x(r(p)).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13. Solve -5*f + 41 - 16 = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - (-36)\/15. What is the second derivative of -3*u**2 + 6*u - 2*u**2 - u**g wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, v: 7}. Give prob of sequence vvsv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6348851662 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -295 + 15*w**2 - w**3 + 4*w**3 + 0*w**3 - 11*w**2 + 5*w**2 to the form a*w**3 + b + i*w + f*w**2 and give b.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 5*h + 29. Suppose -16*t + 36 = -4*t. Let p be u(t). Let i be ((-3)\/2)\/(1\/2). Sort i, p, -5, -2 in descending order.\nAnswer: p, -2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 31. Solve -3*f - y*s = 11, 4*s - 6 = 2*f - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 + 2*b - 1. Let t be 5\/25 - 29\/(-5). Let w be a(t). Calculate the greatest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3647988804 to four dps.\nAnswer: -0.3648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8573 + 3207?\nAnswer: -5365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = w - 2, g - 1157 = 2*w - 1161 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 18. What is the greatest common factor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -13*(-15)\/390*11962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 6*n + 7. Let p be s(5). Let q be ((-174)\/(-30) - -1) + -7. Which is the nearest to p? (a) -0.4 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 3*h**2)*(-2 + 4 + 5*h + 3*h).\nAnswer: 24*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*n = -2*u - 537590, u = 5*n - 268775. Let i be (0 - u)\/(5\/(-625)*1). Round i to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (61 - 29) + 34\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cii when three letters picked without replacement from cicittiiwm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 727*n**6\/60 + 345*n**3\/2 + 1928*n**2. What is the first derivative of b(p) wrt p?\nAnswer: 4362*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-62)\/(-6))\/((-14)\/(-36))*-7. Let s(h) = h**3 + 12*h**2 - 20*h - 20. Let t be s(-14). Let i = t - x. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 - (2 + -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.4, -1\/8, -2\/11, 9716?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6031 and -1411.\nAnswer: -7442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-152)\/(-5) - 6\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let x(t) = 3160*t**2 - 475389 + 475389. Give a(x(u)).\nAnswer: -19971200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 5*u**2 + 9*u**2)*(3 - 4 - 1) + 2*u**2 - 1 + 1.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f + 46. Let v be j(-7). Suppose 31 = -v*h + 91. Solve -3 = -5*t + 4*m, -3*t - t - m = -h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73970 is divided by 108?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 0*h - 1103 = -1127 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (6 - 2 - -9) + -4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiuojoioio. Give prob of picking 1 i and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 13833?\nAnswer: 13809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 8*d + 2. Let w be v(8). Let p be 159 - ((-2 - -1) + 2). Suppose 0*h - w*h + p = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b9522 (base 13) in base 7?\nAnswer: 2563100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**3 - 4*q**2 - 11*q + 33. Is u(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754 is divided by 581?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399590 and 4595285.\nAnswer: 9190570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - 16) + 3 - -1) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183315 and 297660?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.13 - 15.23. Sort 5, -180, j in decreasing order.\nAnswer: 5, j, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -13\/5 (c) -444\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4660652231?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from minvdvvdv. What is prob of sequence vdnv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-3) + 6\/9. Let a(i) = 7*i**3 - 4*i + 4. Let z(u) = 35*u**3 - 21*u + 21. Let p be (-27 + -15)*1\/2. Determine m*z(f) + p*a(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6339 - 6337. Let z be 2*((-1)\/1 - -2). Suppose -p*l - 10 = -4*j, 4*l + 0*l + 20 = -z*j. Sort -0.2, -4, j.\nAnswer: -4, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1945710 by -3.\nAnswer: -648570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35723, -35725, -35727?\n\"Answer: -2*t - 35721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + 187*y**2 - 187*y**2 - y + (y - y - 3*y)*(-2*y**2 - 1 + 1) - 2*y**3 + 2*y**3 + y**3.\nAnswer: 9*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from pvppppvlplvpvxxaxlv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + sqrt(48))**2 - 3*sqrt(12) - (sqrt(27)\/(sqrt(36)\/sqrt(4)))**2*-2) + -2.\nAnswer: -6*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 816 = -688. What is the remainder when y is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526916?\nAnswer: 2, 13, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**7\/2520 - u**6\/360 - 11*u**4\/12 - 9*u. Let a(o) be the third derivative of m(o). Factor a(l).\nAnswer: l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:07 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2338 in 0.6, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {y: 3, r: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -4, 1, 1027 in ascending order.\nAnswer: -4, 1, 37, 1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 15261717.\nAnswer: -4\/15261717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 956*q**2 - 1212*q + 256.\nAnswer: 4*(q - 1)*(239*q - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -90, -155, -236, -327, -422?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 11*y**2 - 10*y - 1. Calculate a(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -24)*6\/12. Let k = -11 + u. Suppose 7 = -0*n - 4*n + 5*a, -5 = -n - a. Sort 5, k, n, 0.\nAnswer: 0, k, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 163965900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - -21?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.19 - 0.19. Put 5, p, -5 in descending order.\nAnswer: p, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*q*t*x**2 - k*q*t - 12*k*q*x**2 + 3*k*t**2*x + 37*k*t - 11*q*t*x + 2*t**2*x**2 wrt x?\nAnswer: -4*k*q*t - 24*k*q + 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 940132621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -4*a - 0*a. Let w(i) = a + 12*i**2 - 49. Let s(h) = 9*h + 11. Let o(q) = -5*q - 6. Let v(j) = -11*o(j) - 6*s(j). What is w(v(l))?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5005 = -0*a - 2*a - t, 5*a + 2*t = 12513. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -27*d + 217. Let a(y) = -22*y + 217. Determine -5*a(c) + 4*t(c).\nAnswer: 2*c - 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.649 to two decimal places.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 64. Suppose 3*m - 6 = 3*z + 9, 3*z + a = 2*m. Solve -m*d - d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2 and -61\/89882.\nAnswer: 89882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 877*u**3 + 1401*u**3 - 1528*u**3.\nAnswer: 750*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 4 + -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 + -6.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 2. Let h be 125\/(-15) - (-2)\/6. Let a(z) = -3*z - 6. Let q(v) = h*m(v) - 3*a(v). What is q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1878.83 - -1879. Which is the nearest to 2\/7? (a) j (b) 0.6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.38765ml in litres?\nAnswer: 0.07738765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Suppose 0 = -4*n - i + 5 + 14, -5*n = 3*i - 15. Let x(t) = -2*t**2 - 3*t**2 - n*t**2. What is x(y(p))?\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -160065*d**2 - 68*d - 19. Let f be j(-3). Round f to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/14 and -115\/156534?\nAnswer: 156534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 + 216 = 0. Is (3 - 32)\/((-3)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7408 - 300651?\nAnswer: -300653.7408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*m + 6 = 0, -3*m - 12 = -3*n - 6*m. What is the derivative of n*o**2 + o - o + 3 wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*i - 14. Let p = 975 - 973. Put p, i, -3 in descending order.\nAnswer: p, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589383?\nAnswer: 3, 83, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -840929*x - 17659537. Calculate a(-21).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.008 and 1130314.\nAnswer: 1130313.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 178, 237, 296?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -67 + 64 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 379 - 365. Let z = h - -234. Is z a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/13, -0.09, 0.5 in descending order.\nAnswer: 5, 0.5, 2\/13, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.60987749 times 4\nAnswer: -6.43950996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 1046*s + 60770. Give n(56).\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 = -j, -2*o = -5*j + 2*o + 13. Let p be (-3 + 6)\/(j\/(-4)). What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 6. Let p be -2 + (7\/d - 0). Let s = -5.7 - -6. Which is the smallest value? (a) s (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -7. Suppose 0 = -n*s + 455575 - 11435575. Round s to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1196517*f**2*l*n**2 - 4*f**2*l + 2*f*l**2*n**2 + 4*f*l**2 + 2*l**2 - 771 with respect to n.\nAnswer: 2393034*f**2*l*n + 4*f*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*x**2 + 26 + 35 + 94*x**2 + 58 wrt x.\nAnswer: 322*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -558086 - -85.\nAnswer: -558001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140576.366 rounded to the nearest ten thousand?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2654 - -2654. Which is greater: -1500 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-34 + -1) + (5 - 1 - 9). Solve 56 = -o*q + 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.13 and -13?\nAnswer: 14.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 - 0*2\/(-6). Let c(v) = 1. Let g(t) = t - 3. Let q(d) = 4*c(d) + g(d). Is q(b) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1900) + -2)**2 + sqrt(1900) + sqrt(1900) + sqrt(1900) + 4*(sqrt(38)\/sqrt(72))**2.\nAnswer: -10*sqrt(19) + 17119\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(144\/294)*-1*2 and -17\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -107102, -107120, -107138, -107156, -107174, -107192?\n\"Answer: -18*g - 107084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14.2348492 times 0.2\nAnswer: -2.84696984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/3)\/((-24)\/18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 9 = -4*o - 11*k, -3*o - 24 = -2*k. Suppose -2*l - 3*a + 4*a - 3 = 0, -a - 17 = 3*l. Is l <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5464 + 5468. Let w(q) be the third derivative of -3\/35*q**7 + 0 + 0*q**6 + 0*q**4 + 7*q**2 + 0*q + 0*q**5 - c*q**3. Differentiate w(d) wrt d.\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 + 756*j + 2241. Give y(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + x + 3. Let j be 8 + (-1 - (4 - 3)). Suppose -6*m + 4 = -4*m. Let y(r) = -1 - r**m - 5*r - r + 6*r. Calculate j*y(i) + k(i).\nAnswer: -i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 + 32088*s**2 + 322692*s - 16187472 = 0 for s.\nAnswer: -28, 18, 10706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h**2 + 31*h + 10. Let l(j) = 5*j**2 - 15*j - 6. Let y(d) = -6*g(d) - 13*l(d). Let s be y(-7). Calculate the highest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084815 rounded to 5 decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -1, -11, -27?\n\"Answer: -3*y**2 + 5*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 + 35*g + 18. Give i(14).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/9 (b) -3 (c) 5\/13 (d) -16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooto. What is prob of picking 3 o?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*((sqrt(480)*-1 - sqrt(480)) + sqrt(480) + sqrt(480) - sqrt(480)) - sqrt(480)))\/((5*sqrt(24) + sqrt(6) - (2*sqrt(60))\/sqrt(10))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13220*a**2 + a + 2. Let i be z(-4). Let v = i + 338230. Let k = v - 29708. What is k rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 351.8 + -351.5. Put 2\/5, 1, 5.8, i in descending order.\nAnswer: 5.8, 1, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -27457*n - 164740. Calculate y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) 9.9 (c) -1223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 3\/7, -0.1, 1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/((-6)\/(-6)) - (4 + 0). Solve -3*x - b - 15 = x, 0 = -h*x - 2*b - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 40*l - 12. Let p(w) = -37*w + 10. Give -4*a(r) - 5*p(r).\nAnswer: 25*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/53, 5, 0.1183, 9 in decreasing order.\nAnswer: 9, 5, 0.1183, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1\/2*h**2 + 2\/3*h**4 + 0 + 0*h**3 - 5*h. Differentiate f(r) wrt r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/((-3)\/2). Let d = -76\/7 - -352\/35. Which is the second smallest value? (a) d (b) -2\/15 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 3) in base 10?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(325) - -4*(sqrt(325) + 0 + sqrt(325))) + 3)**2.\nAnswer: 180*sqrt(13) + 26329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + y**3 - 3*y**3 + (13*y**2 + 1052 - 1052)*(4*y - 4*y - y) in the form i*y + n + j*y**2 + u*y**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2170 - -3018. What is the greatest common divisor of 53 and k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1. Let b(g) = -g + 10. Let h be b(-9). Let v = 13 - h. Let s(o) be the second derivative of -5*o**3\/6 + 4*o**2 + 5*o. Give v*t(w) + s(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 58. Calculate the smallest common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 3:52 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 47*m**2 + 6*m - 39. Let s(y) = 46*y**2 + 5*y - 39. Let n(l) = -6*s(l) + 5*v(l). What is the derivative of n(w) wrt w?\nAnswer: -82*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 111*h**3 + 5*h + 12. Let l(d) = 334*d**3 + d**2 + 16*d + 39. Calculate 13*a(u) - 4*l(u).\nAnswer: 107*u**3 - 4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 6)\/(-3) + (1 - 5\/25)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*r + 2338*r - 3*r**2 + 3063*r + 574*r - 3736368 = 0 for r.\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380574 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115218295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**3 + 111750*n**2 + 223515*n + 111760 = 0.\nAnswer: -1, 22352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(3 - 3 - 2*j) - 2*j + 3*j + j + 61*j - 22*j - 22*j.\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + v**4)*(-3*v - v + 0 - 2).\nAnswer: -4*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 41*t**2 - 630*t - 1897. Let p be z(-3). What is the greatest common factor of p and 7421?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28740 + -13405. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728636346 to the nearest integer?\nAnswer: 26993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - -6) + -4 - 3) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86007 + 2035*v**2 - 86007 - 6913*v**2 to the form c*v**2 + n + l*v and give c.\nAnswer: -4878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lppgpllgqg. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 20, 0, -10 in ascending order.\nAnswer: -10, -0.5, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 240.954633\nAnswer: -245.954633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/55804 and -1\/168?\nAnswer: 334824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.155 and -36.\nAnswer: 41.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1445?\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - ((sqrt(190) - sqrt(190)*-3) + sqrt(190))) + sqrt(190) - sqrt(190))*-4)\/sqrt(10)*-4.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/2 - 188743*b\/2 + 754940 = 0. What is b?\nAnswer: 8, 188735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136236 or 136241?\nAnswer: 136241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 - d**2 - d + 1. Let s be c(1). Let x be 6\/9*1*s. Suppose u + x*u - 18 = 0. Solve u*k = k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.471 - -0.171. Let c = l - 3.7. Let w = c - -39.4. Round w to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1*-2*((-9)\/(-18))\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(4*d**4 + 0*d**4 - 3*d**4) + 3*d**4 - 5*d**4 + 4*d**4 - 11*d**4 + d**4 + 3*d**4 + (0*d + 0*d - d**2)*(3*d**2 - 2 + 2).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p + 338. Let r be v(18). Solve 24*l = -r*l - 76 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 9. Suppose -2*g - 5*v + 5 = 0, -g + 22 = -0*g - 4*v. Let y be t(g). Let k = 0.9 + -2.9. Which is the nearest to 1\/4? (a) 2 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -31*m + 32*m - 52, 3*o - 38 = -m. Let j = -93 - -160. What is the remainder when j is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvboboovvuuvovvb?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 53, 4, 1, -5, 3 in decreasing order.\nAnswer: 53, 4, 3, 1, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 14 + -8 + -3 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.09015 nanograms in tonnes?\nAnswer: 0.00000000000007409015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 - 2*f**2 + (1 - 2 + 2)*(0 + 0 + 2*f**2) - f**2 + 3*f - 3*f + 3*f**2 - 3 + 3)*(0*f**2 - 6*f**2 + 4*f**2)*(-5*f + f - 2*f).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -834 + 278. Let r = -514 - i. Solve 39*f - r*f = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.01 (b) -11 (c) 0 (d) -0.5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5476770807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 5*g + 2*l, g + 13 = -3*l. Suppose g*u + 6 = 2*m, -2*u + 2 = -m - 0*u. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s - q - 658, 5*q = 10. What are the prime factors of s + 1*2\/(-6)*-3?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 + 2*l**2 + 0*l**2 - l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**3 - j**2 + 1. Let q = -74 - -48. Let c(y) = y**3 + 8*y**2 + 10*y + 13. Let o be c(-6). Let f = o + q. Give w(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2*o**3 - 23. Suppose -3*d - d = 0. Let b(y) = y**2 - 3*y**2 + d*y**2. Calculate r(b(k)).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 2*u - 1\/3*u**3 + 0*u**2 + 0. Let t(c) = 7*c - 2*c - 3*c. Give t(z(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -91541*k**3 + 20*k**2 + 35*k - 13. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i**3 - 3*i**2 - 8*i - 8. Let g be c(-4). Let s = 11129\/10 + g. What is the third biggest value in 0.3, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*v + 55 = -964*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:33 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 2*f + 9. Let i be d(0). Let h be (9\/6)\/(i\/22812). Suppose 3*g = 5798 + h. Round g to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 536.5135ml?\nAnswer: 0.5365135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 + 6 - (-7 + 4 + 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 + -68. What is the remainder when c is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1322\/763 + -2\/109. Let s = f + -94\/63. What is the third biggest value in s, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7409329775.\nAnswer: 5, 19, 53, 294313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + 46 + -39\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2477624 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62007249\/2425 + -25570. Let i = m - -20863\/19400. Calculate the common denominator of ((-2)\/1)\/(48\/45) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-32) - 6\/(-8). Solve 0 = -w + r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:57 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.19 - 15.09. Round u to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/60 - 452*i**5\/15 - 19*i**4\/3 - 2*i**3\/3 - 1934*i**2. Find the second derivative of r(k) wrt k.\nAnswer: 12*k - 3616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 117\/6 - (6\/4 + -3). Let i = 265 - 181. Calculate the greatest common factor of t and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2172 + 2168. Which is the second biggest value? (a) 5 (b) n (c) -2 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5 - 100. Let o be (17 - u) + 22\/6. Let h = 0.13 + -0.07. Which is the biggest value? (a) 0.2 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 - 1062 = -66*q + 34 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4 + 1 + x + 2. Let h be q(12). Solve 0 = -2*w + 4*z + 20, 7*w = 2*w - 3*z + h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*c = -276, -4*u = -3*u + 3*c - 78. Suppose 3*k - u = -3. Calculate the remainder when k is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1740 - 798*n + 7835 + 798*n + 5316*n**2 with respect to n.\nAnswer: 10632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*c**3 - 10*c**2*o + 33970*c*o + 5721280*o + 3 wrt c.\nAnswer: -69*c**2 - 20*c*o + 33970*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (4 + 0) - (-2 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-26352)\/108)\/61)\/((-4)\/(-46))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*1)\/sqrt(6) + -3.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400054.\nAnswer: 2, 700027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/7920 and -41\/50160.\nAnswer: 150480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let q(p) = -160 + 509 + 2*p + 2*p**2 - 185 - 163. Give 3*f(t) - q(t).\nAnswer: -2*t**2 - 5*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(5625\/20)*(-50)\/20?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 28 = -3*i + 11, d - 2*i - 4 = 0. What is the units digit of (-1425)\/d - 14\/(252\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*c - 7, 5*c - a - 105 = 4*a. What is the least common multiple of c and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2131, -16917, -57043, -135181, -264003, -456181, -724387, -1081293?\n\"Answer: -2112*l**3 + 2*l**2 - 8*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + 3 + sqrt(605)))**2 - (sqrt(25)\/(sqrt(25)\/sqrt(5) + sqrt(5)) - sqrt(5))*-3*-5.\nAnswer: -1393*sqrt(5)\/2 + 9744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229868594 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 764766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -5658?\nAnswer: 565c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/45 - (-3 - (-30)\/9). Let u = f - -3\/5. Let y = -25.8 - -26. Which is the closest to y? (a) u (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/5338?\nAnswer: 1\/5338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*u = -1 + 7, 18 = -o - 2*u. Let r be (o\/3)\/((-5)\/(-375)). Let b be (28 + 2)*r\/(-3). What is b rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from qaaaqqa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}