diff --git "a/data/dm_maths/full_data/1432_11255.jsonl" "b/data/dm_maths/full_data/1432_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1432_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -7*o**2 + 13*o**2 - 2253*o**3 - 6*o**2.\nAnswer: -2253*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = t - 48. Let f = t - -196. Let g = f + -74. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and 131\/840.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) + -1*sqrt(100) + sqrt(100) + sqrt(100))\/sqrt(2) + -2 + ((1*sqrt(162) + -5)*-2)**2.\nAnswer: -350*sqrt(2) + 746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8 = -10*v + 6*v, -3*y - 12 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 354.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g + 84. Suppose -g = -8*o + 6*o. What is the lowest common multiple of 54 and o?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 7, -7, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 7, u: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/3978 and -155\/15912?\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 984.\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/18 - (-22)\/6. Suppose -513 = -j*i + 597. Round i to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 14 - (1 + 1 + -2). Suppose 3*r = -b + 3, 4*b + 3*r - 6 = -3. Solve b*d + m = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 + 6 = 2*i, -2*i = 2*l - 16. What is the nearest to 1\/2 in l, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3447.589 nanograms to milligrams.\nAnswer: 0.003447589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.13, -0.5, 50, 3, -8, -2.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 63*y + 14 - 40*y.\nAnswer: 23*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2)*f)\/f)\/f*f*f**(-2\/13))\/(f**(2\/7))**(3\/13)*(f**(-1)\/f**(-2))\/(f**(-3\/2)*f**3) assuming f is positive.\nAnswer: f**(-495\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a0 + -14a8?\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2157.553 and -0.95.\nAnswer: -2049.67535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o*z**3 - 613*o*z + 1478*o + z**4 wrt z.\nAnswer: 3*o*z**2 - 613*o + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*o - 8*o + 20, -4*o + 24 = 2*q. Let n(p) = 76*p**2 - 9*p + 4. Is 37 a factor of n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 3*g + 0*g)*(g**2 + 0*g + 0*g) + 14*g**3 - 7*g**3 + 0*g**3)*(g - 3 + 3)*(g - 3 + 3).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 72\/(-6) + (-54)\/(-14)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/(57\/(-228)). What is the remainder when (-20)\/(-10) - 2*503\/a is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43709711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/4 (b) 2\/9 (c) -0.07 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 1, w: 3}. Give prob of sequence wo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78125 = -c - 2*z, -5*z + 60167 + 17946 = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - -13. Let j = 53 - c. Suppose n - 5 = y, n + 4*n + 2*y = j. What is the smallest common multiple of n and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 499*n*r**4 - 2*n*r**2 + 3*n*r - 31*r**2 wrt r?\nAnswer: 11976*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**8\/1176 - c**7\/735 - c**6\/420 + c**5\/210 + 2*c**2 + 4*c. Let x(i) be the first derivative of p(i). Factor x(j).\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6cb (base 15) in base 6?\nAnswer: 11045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -26 - (-67 + 50)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*r + 2*q, r - 3*q = -3*r - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -k - 26. Let y = 124 + k. Solve -y*f = f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-5))\/((-16)\/(-120)))\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2\/4303 (c) 2 (d) -4 (e) -10 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18278754 by -9139377.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 98295*z + 98292.\nAnswer: 3*(z + 1)*(z + 32764)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*u**2 + 33*u**2 + 41*u**2 + 33*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008465 to five dps.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 32 = 17*s. What is the remainder when 54 is divided by s + (-11)\/((-11)\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 746 + -730. Solve -2*s - 5*b = -11, q = 3*s - 5*s + 4*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5898 divided by 1245\nAnswer: -1966\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1 (b) -18 (c) 0.28 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 3*q + 1. Suppose 1815*j = 1817*j + 14. Let s(o) = o**2 + 7*o - 3. Determine j*l(x) - 3*s(x).\nAnswer: 4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62959 + 1595 = -466*x - 1071*x for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvve when four letters picked without replacement from eetttteteeteeeevvt?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n**2 - 6 + 0 + 44*n**2 + 29*n**2.\nAnswer: 33*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48488, 48487, 48484, 48479, 48472, 48463, 48452?\nAnswer: 48439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (9 - 6) - (1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 224 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/473 in 2\/9, -2\/5, 0.05, -109.6, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.44*-310.1.\nAnswer: 756.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**2 + u - u)*((2 - 5*u - 2)*(-2*u**2 + 5*u**2 - 2*u**2) - 5*u**3 + 2*u**3 + 2*u**3 + (-4 - u + 4)*(u**2 - 1 + 1)).\nAnswer: -77*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 48*d + 8. Suppose -b + 8 = 2*p - 6, -2*b - 3*p + 29 = 0. Let x be w(b). Solve 4 = -4*o + x*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-935182)\/(-46) - 201\/4623.\nAnswer: 2, 5, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.204363 nanometers in kilometers?\nAnswer: 0.000000000002204363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 3*h + 6. Suppose 2*d = -5*f - 16, -2*d - 3*f = d + 6. Let g be a(d). Solve 18 = g*s + 4*o - 2, -s = 5*o - 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4399 and 66727?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626\/8 - 11\/44?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*c + 256 - 36 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 2*f - 2. Let v be z(3). Let w = 6 - v. Let m(p) = -5126*p**2 - 3*p + 4. Let t be m(w). Round t to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 53.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3 + 0)*6\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 8:27 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -3297414.\nAnswer: 26379312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 - 151. What is the units digit of (-609)\/(-3) - 48\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1255 and 15.6.\nAnswer: 19578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:05 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1165346, 2330710, 3496072, 4661432?\nAnswer: 5826790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 73. Solve 0 = d - t + a, 0 = -3*d + 4*t - 7*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.468 times -3.9?\nAnswer: -13.5252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218788 by -3.\nAnswer: 218788\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106124, 106118, 106106, 106088, 106064, 106034, 105998?\nAnswer: 105956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 457 + 4*q - 458 - q**2 + q**2 + 2*q**2. Give i(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8474 - -8474.3. Let z = -2.8 - -3. What is the third biggest value in r, -47, z?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1101, 1080, 1055, 1026, 993, 956?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2784)\/2871)\/((6\/(-24)*-1)\/((-6)\/(-16))).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 15. Let l(h) = h**3 + 2*h**2 - 4*h. Let t be l(-3). Suppose -2*p + t*p = 7. Solve -y*k - p*i = -2*i - 15, -3*k - 5*i + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2033127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {p: 2, x: 3, e: 7, b: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10732, -42844, -96364, -171292, -267628?\n\"Answer: -10704*b**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3667, 7289, 10895, 14479, 18035, 21557, 25039?\n\"Answer: -z**3 - 2*z**2 + 3635*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 3661*s + 25546. Determine r(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 10. Let s be g(4). Let m be (1 + -1 + -3)*-22. Suppose 0*q = s*q - m. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {o: 1, z: 4, x: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.333587l?\nAnswer: 6333.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -607, -913, -1219, -1525, -1831?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**3 + 20*y**3 - 7*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose -3*z - 1 + 13 = 0. Suppose -16 = -z*x + 4. Solve 0 = -q*s - 3*s - 3*u - 12, x*s + 14 = -2*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:51 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0738*5\nAnswer: 0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1474 + 9377\/4422. Suppose 806*s = 807*s + 32352. Let b = s + 1067696\/33. Calculate the common denominator of b and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 335528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 2 w when four letters picked without replacement from wboboobowboo?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/1251?\nAnswer: -2\/1251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32447513779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w - 98643*w**2 - 2*w**3 + 49512*w**2 + 49131*w**2.\nAnswer: -2*w**3 - 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxeeexeeebeebbebbjb. What is prob of sequence ee?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 101) + (44 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181 - 392. Let k = j - -211.226. Round k to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6888120 greater than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + 1. Let t be g(1). Let m(n) = n**3 - 5*n**2 - 6*n + 3. Let b be m(t). Solve 5*u = i + 16, i - b*i + u + 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u - 4*u + 6*u - u - 1. Let h(k) = 4*k**2 - 2*k**2 + 5*k**2 + k - 5*k**2 - 5. Suppose 0 = -0*q + 2*q - 2. What is q*h(t) - 3*r(t)?\nAnswer: 2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2. Let v(s) = -630*s. Determine g(v(o)).\nAnswer: -396900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afhx when four letters picked without replacement from {v: 1, f: 1, x: 1, a: 2, h: 1, t: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 512\/(-3 - (-1499)\/500). What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -0.3145, 5, -0.2, -6, -1.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1350942*303\nAnswer: 409335426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 50. Let m(q) = 25. Let i(j) = 7*m(j) - 4*t(j). Let o be i(-5). Let b(s) = 3*s + 6. Give b(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 21*z - 253. Solve -25*y + z*y = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25.5 in 19, 1\/8, 0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11663 is divided by 4573?\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(2*i - i + 0*i + (2 - 2 - i)*(0 - 5 + 3) + i + 4*i - 3*i + 1 - i - 1).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olollllollolo. Give prob of sequence ool.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8192 and 504.\nAnswer: 516096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 48 = n, -3*p - 1422 = 5*n - 1382 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 88, -6587, -13262, -19937?\n\"Answer: -6675*a + 6763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d4 - 0?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41446 + -7.133022.\nAnswer: -41453.133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34978454201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9 - 0 - 260\/(-117)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 47, 76, 117, 170, 235, 312?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51520683 and 36?\nAnswer: 618248196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7642 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-5 + sqrt(140)\/(sqrt(14)\/sqrt(2)))*2 + 5)**2*-3.\nAnswer: -317 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Suppose -g*c + 455 = -2*v, -c = -5*c + 4*v + 376. Suppose 5*o - c - 164 = 4*h, -4*o - 2*h = -192. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*p - 9*q - 8, 3*p - 5*q - 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 205 + -3?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43473 = -109*t + 44890 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344442151 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p + p - 4*p + 0*p + 3*p + (2 - 1 + 1)*(-6*p + p + 4*p) + 2*p - 3*p - p)*(p + 3*p + 3*p) + 3 + 9*p**2 - 3.\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 15 = o, o - 68 = -a - 61 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -304 + 5321244?\nAnswer: 5320640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - d - 2*d)*(-4614*d + 1196*d - 1247*d) to b*d**2 + h + c*d and give b.\nAnswer: 18660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by -3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 6 = 0. Let v(h) = k*h**2 + 3*h**2 - 8*h**2 + 2*h**2. Let i(f) = -f - 2*f**2 + f + f**2. What is i(v(b))?\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4053\/17563 + 217\/(-1053))*-6.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70989939*h**2 + 2446208?\nAnswer: -141979878*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/13, -0.5, -1, 39, 8?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 0*f + 2*f)*(-1 - 6 + 2)*(-f**2 + 0*f**2 - f**4 + 0*f**2 - 2).\nAnswer: -15*f**5 - 15*f**3 - 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - -37. Suppose -5*h = 4*t - p, -5*h = 2*t - 3*t - 100. What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*l + 32*l - 480. Suppose 0 = -2*k + 7*k + l. Is -201*((-2)\/(-12) + 8\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1254 - -1254. Solve u = 3*g + 2*h - 9, -23 = -5*g + 3*h + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgxwxwdvdwhd. Give prob of sequence vhgh.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -8. Let s(v) = 1753*v - 105. Let i be s(t). What is i rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832942.\nAnswer: 2, 11, 37861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 - 745590.\nAnswer: -745591.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-1035)*6*2331\/(-518)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -8*i - 87 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-290)\/1479)\/(924\/11781).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297159253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*y + 50, -27*q + 22*q + 70 = 3*y. Solve 8*b - y = -7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 678633702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 316516 = 316516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61625\/246548 + -3\/61637. Let h = 1 + -0.5. Sort h, u, -1\/2, -2\/7 in increasing order.\nAnswer: -1\/2, -2\/7, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:18 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49290, 49291, 49304, 49335, 49390?\nAnswer: 49475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323757 is divided by 161869.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2120, -15805, -52722, -124487, -242716, -419025, -665030, -992347?\nAnswer: -1412592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -215, -259, -341, -473, -667, -935, -1289?\nAnswer: -1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 535*q**2 + 68*q + 3. Let d(j) = 267*j**2 + 33*j + 1. Let n(y) = 5*d(y) - 2*m(y). What is the second derivative of n(r) wrt r?\nAnswer: 530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*w + 3485 = 0, 0*c + 3509 = 5*c - 3*w. Calculate the greatest common divisor of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 1. Let y(v) = -4*v + 1. Let s(k) = 5*k - 2. Let b(d) = -2*s(d) - 2*y(d). Calculate 5*b(t) - 8*i(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3 - 1) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 + 71*c**2 - 95*c + 472. Give v(17).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 17*x**4\/3 + 15*x**2\/2 + 87*x. List the prime factors of g(4).\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i**2 - 12*i**2 + 3 + 18 to f*i**2 + g + y*i and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20947109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62714210 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 133*t + 1 - 134*t - 1. Let k(d) = -4*d**2 + 0*d**2 + 2*d**2. Give j(k(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.139 less than -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.275 (b) -34 (c) 1\/10 (d) 5 (e) -1\/164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7609136 millilitres to litres.\nAnswer: 0.0007609136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70804268 a multiple of 2702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7649357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 3*u, -4*u = -2*u + 4*y - 24. Let d(b) = -u*b**3 + b**2 + 3*b**3 + 0*b**2. Let q = -55 + 56. What is d(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144832 and 279584.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 51?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuucuunnnunnnnc. What is prob of sequence uucc?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {j: 1, g: 1, q: 1, x: 1, v: 1, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**3 - 5*z**3 - 6*z**3 - z**3 - z**2 + z**2 + (3 - 2*z - 3)*(1 - 1 - z**2) + z**3 + 2*z**3 - 4*z**3 in the form g*z + l*z**3 + f + m*z**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1215400 (base 6) to base 16\nAnswer: fcd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2460 and 68700.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y - 27. Let u(g) = -10*g - 26. Let h(z) = -3*q(z) + 4*u(z). Does 8 divide h(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-5 + 0)) + (32 - 25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(6480) + 1)*3 - (sqrt(45) + sqrt(5445) + 1 - (sqrt(45) - (sqrt(180)*2)\/sqrt(4)))))**2.\nAnswer: 276*sqrt(5) + 23809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -175011 - 22*b**2 + 36*b + 6*b**2 + 175011 in the form q + u*b + i*b**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1655 and -113.\nAnswer: -1768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4168474?\nAnswer: 2, 23, 90619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/26*25506\/17658?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271223 is divided by 571.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b - 72. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 179449335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -3, 2\/37, 5, 2\/45, 2 in decreasing order.\nAnswer: 5, 2, 1\/7, 2\/37, 2\/45, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 - 11 + 5)*(0*z - z - z) to the form f*z + k and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/(227413\/(-6406))?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 731681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 17300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 2775?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*p + 90, -4*p - 86 = y - 3*y. Calculate the greatest common divisor of y and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -23?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193030?\nAnswer: 2, 5, 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 30. Suppose 6 = -3*j - 3*k, -4*j - k + 2*k = -c. Solve 3*g + g + 14 = -j*n, 4*g + 2 = 2*n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32090*r**2*y + 38906*y with respect to r.\nAnswer: 64180*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 50. Solve -b + 0 = -h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1812*i + 112895 = 127*i for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -4, -8, -7\/352 in descending order.\nAnswer: -7\/352, -2\/3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 389, 1456, 3273, 5846, 9181, 13284?\n\"Answer: p**3 + 369*p**2 - 47*p + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 79904 = -4*q + 44316, -2*o = 8. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1 + (1 - -6) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1451821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 197. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -22b0a437?\nAnswer: 22b0a432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 23615881.\nAnswer: -1\/23615881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 2, q: 4, d: 3, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 418*y**2 - 114*y - 342. Let b(n) = 2*n**2 + n + 3. Determine 114*b(m) + q(m).\nAnswer: 646*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - -61 - (21 + (-50 - -31 - -1))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -2, -492, 2, -3, 1, 5 in ascending order.\nAnswer: -492, -76, -3, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (7\/7 - -1). Suppose -29 = -5*s - 3*c, -4*s = -s - 5*c + 3. Suppose -5*o + 6 = -s. Solve -o*x = -j*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:39 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.862747 to two dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49945 + 86085. What is the greatest common factor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614776 is divided by 131?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**2 + z - 4. Let f(j) = -10*j**2 + 2*j - 3. Let v(a) = -4*f(a) + 3*s(a). What is the second derivative of v(g) wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 + -171?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11 + 100*j + 31 + 35 - 4 wrt j.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -125*t**3 - 2*t**2 - 2*t. List the prime factors of n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57068 and 4070.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 2*f**2 - f + 4. What are the prime factors of g(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 + -132 - (-1 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*o + 187 = 0, 24*y - 26*y - o + 118 = 0. Solve 79 + y = 34*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 7 (c) 2 (d) 10 (e) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 + -221. Let s be (2\/3)\/((-2)\/6 + f). Is 2\/193 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895440 is divided by 1995?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(79083\/(-18)))\/(17\/51).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/20*(20\/(-18) + 192\/189).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345 + -231. Let p be z\/7 - 8\/28. Solve -p*u - 17 + 7 - 12*u**2 + 6 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -579, 0, 3, 5 in ascending order.\nAnswer: -579, 0, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1)*2\/(-6)*5. Let l = x - 5. Suppose l = 2*w - 5*w + 90. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 980 = 8*u - 268. Suppose u = z - 149. What are the prime factors of z?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 471.215, -4, -13, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 620, 8694, 22152, 40994?\n\"Answer: 2692*u**2 - 2*u - 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/30 + d**2. Let b(s) = -8*s**2. Determine b(o(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**5\/3 + 112723*a**4\/3 - 90200*a**3 - 811676*a**2\/3 + 360752*a\/3 = 0. What is a?\nAnswer: -22547, -2, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1205 and -0.17.\nAnswer: -0.020485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 140, 242, 334, 410?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 6, 2, 27, -432, -3 in increasing order.\nAnswer: -432, -3, 2, 6, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 92*z**3\/3 - 21*z**2 + 12. Find the second derivative of l(x) wrt x.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m + 0*m = 0. Suppose -q - s + 391 = m, 3*s - 2095 + 526 = -4*q. Does 33 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w - 7*w + w + w**2 - 1 - 1.\nAnswer: (w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 1, l: 7, e: 6}. Give prob of sequence ww.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -106*c + 109*c + 3*z, 5*c = -3*z + 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -613, -913, -1213, -1513, -1813, -2113?\nAnswer: -2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22203009?\nAnswer: 3, 29, 97, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*r = -462, 2*k = k + r + 227. Suppose -n + m = -k, 0*n = -3*n - 2*m + 667. Suppose -n = -w - 2*w. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10272)\/(-36) - 1\/3. Suppose 10 = f - x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 17.496966.\nAnswer: 16.996966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 82812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.036, 9, 0.5, -2.3, 0.4, -7 in increasing order.\nAnswer: -7, -2.3, -0.036, 0.4, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {d: 2, u: 4, q: 2, h: 5, y: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**24)**(5\/6)\/((b\/(b**(-9\/2)*b))\/b**11) assuming b is positive.\nAnswer: b**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*l**2 + 181*l**2 - 71*l - 218*l**2.\nAnswer: 5*l**2 - 71*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g - 70 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + -4*(sqrt(245) + 0) + 1.\nAnswer: -28*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2299) + sqrt(2299) + 0 + sqrt(2299) - sqrt(2299))**2*1.\nAnswer: 9191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8280.629 decades?\nAnswer: 82.80629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z**2\/15 + 309752*z\/5 + 293561752\/15 = 0 for z.\nAnswer: -66058, -2222\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*c + j - 294, 4*c = j + 286. Let q = -79 + c. Let v be (-9)\/(-2)*q\/(-12). Solve 2*d + 3 = 3*p, -d - 5 = -v*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 763962.5ug?\nAnswer: 0.7639625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2262, 2269, 2286, 2319, 2374, 2457, 2574, 2731?\nAnswer: 2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let h(u) = 13*u**2 - u. Let v(m) = -h(m) - o(m). Let r(l) = -l + 21. Let t(k) = 105. Let y(j) = 10*r(j) - 2*t(j). What is v(y(a))?\nAnswer: -1300*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69328 = 54*u - 113030. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1730 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b + 10. Let n be b*(-2 + 1)*219995. Suppose -3*u + 5*s + 1444795 = -1855230, -5*s + n = u. Round u to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*n - 218 = 254*n + 112 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203 and 1799.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1925 - 1927. Suppose 20 = -2*j + 6*j. Sort j, -4, w in descending order.\nAnswer: j, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 779 divide 19403821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxk when four letters picked without replacement from xkxpkkppkk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.072153ml to litres.\nAnswer: 0.008072153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Let i be 0 - (l\/(-1) - 3). List the prime factors of (34\/(-3))\/(i\/(-9)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752601 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 801085743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 6*y - 5. Let w be a(5). Suppose 0 = 2*s - w*s + 10. Let i(b) = b**3 + 4*b**2 - 5*b + 5. Let h be i(s). Solve z = h*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose k = -3*r + 10, -60*k - 4*r + 11 = -61*k. Put -3, k, x in decreasing order.\nAnswer: x, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 417\/12 + 9\/36. Let a be (c\/(-7))\/35 - 951\/7. Let h = -135 - a. Solve 3*z + 11 = -5*k, -z - h = k - 0*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l + 2 - 46 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675282 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 = -6*b - 2*c, 4*c = -3*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (92\/920)\/((-133)\/(-70))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1348 and 38\/5.\nAnswer: 6740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 22a4938?\nAnswer: -22a4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + 12651*w - 12651*w.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63653014.\nAnswer: 2, 31826507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:36 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 125*0.059\nAnswer: 7.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 38 = 0. Let l be 6\/(-1 - (-41)\/d). Does 26 divide l\/1 + (-5 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154 + 1128 - 154)*(4*i**2 + 11*i**2 - 5*i**2).\nAnswer: 11280*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 353*u + 4. Let s(n) = -n + 63. Let x(l) = -l + 36. Let a(j) = -4*s(j) + 7*x(j). Give a(h(i)).\nAnswer: -1059*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 3:45 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100101 + -1011111100000?\nAnswer: -1011011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*t - 22, 0 = 5*z - 3*t - 0*t. Let s = z - -1. Solve -2*j + 8 = -2*a, -3*j + a + s = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l. Suppose -i = -k + 2*i - 2, -4*k = i - 5. List the prime factors of 2 + k - (l - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 1, f: 2, l: 2, p: 1, m: 1}. What is prob of sequence puf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 (base 5) in base 4?\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 42751150.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 19*q = 0. Suppose 4*p - 7*p = -4*d - 78, p + 5*d - 7 = q. Calculate the least common multiple of 16 and p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -2, 2\/15, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 1, h: 2, i: 5, v: 2, f: 5}. Give prob of picking 1 f, 1 h, and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1958497\nAnswer: -2\/1958497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1124 - 1122. Solve 5*m + 4 + 11 = -g*s, s - 12 = 4*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -209*r**3 + 38*r**2 + 38. Let f(v) = 16*v**3 - 3*v**2 - 3. What is 38*f(c) + 3*k(c)?\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -133079 + 1?\nAnswer: -133078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250983 is divided by 83655.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -148*w**3 + 118*w**2 + 10. Let f(p) = 444*p**3 - 354*p**2 - 28. Let x(v) = -5*f(v) - 14*z(v). What is the third derivative of x(a) wrt a?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -19465 + 19465 - 7*m + 2*m - 8*m. Let k(q) = q**2 + 41. What is v(k(a))?\nAnswer: -13*a**2 - 533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79\/(3950\/(-200)))\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10869, -1\/4, -29.8, -2 in descending order.\nAnswer: 10869, -1\/4, -2, -29.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 391*d**2 + 2017*d + 28. What is n(-5)?\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*o + 32*o + 36*o + 222*o**2.\nAnswer: 222*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 5*j**2 - 6*j - 11. Let r be v(-6). Let x = 138 + r. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 24*s = 23*s + 69, -3*c = 7*s - 132 + 65 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 + 7*a - 7. What is t(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 1. Let y(a) = 8*a - 7. Let f(z) = -14*l(z) - 2*y(z). Let k(u) = -49*u - 4. Let n(w) = 47*w + 3. Let g(p) = 3*k(p) + 4*n(p). Give f(g(o)).\nAnswer: -82*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2304.51033837 and 4.\nAnswer: -2300.51033837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -26471000 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 23. Let m(v) = 8*v + g*v + 11*v - 27*v. Let j(x) = 2*x + 6. Let s(w) = -4*w - 13. Let l(y) = 13*j(y) + 6*s(y). Determine l(m(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 383094, 383037, 382812, 382335, 381522?\n\"Answer: -14*l**3 + 41*l + 383067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, -1\/50, 2, 3, 0.5 in descending order.\nAnswer: 3, 2, 0.5, -1\/50, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z + 28, 2*n = 4*z - 7*z + 4220. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 32. Suppose 3*h + 4 = n. What is the derivative of -52*s - 3 - 5*s**h + 52*s wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -20*j - 3. Let g be h(-1). Let i be (-757 + g)*4\/(-10). Let b = 94 - 57. Calculate the greatest common divisor of i and b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.43. Let x = -27 - -39. Suppose -x*q - 10 = -34. Which is the second biggest value? (a) 0.3 (b) -5\/2 (c) q (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**2 - 12*t + 10*t + t**2 + 2*t.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-5))**(-18)*(g\/g**(2\/19))**46 assuming g is positive.\nAnswer: g**(-1270\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r**4 - 157 + 157)*(-r - 4*r + 3*r + (4 - 4 - r)*(-1 + 0 + 0)).\nAnswer: 18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*m + 12 = 0, 16*m - 13*m - 25 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefeewf. What is prob of picking 4 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 + -353. Calculate the greatest common divisor of 88 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -16, -36, -76, -142, -240, -376?\n\"Answer: -i**3 - i**2 + 4*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 55 = 30. Let j = 36 + k. What is the greatest common factor of 171 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 25*j**2 - 373*j - 1113. Let u be o(-3). Solve 22*h = -u + 55 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 2, w: 1, z: 3}. What is prob of picking 1 i and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1745058 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4)*-1))**2*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5246.\nAnswer: 2, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*-1*sqrt(114) + sqrt(114)))\/(1*sqrt(36)\/(-2*sqrt(6))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44797827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11482, -11484, -11484, -11482, -11478?\nAnswer: -11472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skksk. Give prob of picking 1 k and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x - 76. Calculate f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*j**3 + 1 - 4 + 355*j**3.\nAnswer: -j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*v = 98*v + 120. Suppose 0 = -9141*o + 9153*o - 60. Solve -o*f - 7 = 2*j - v, 0 = 5*j + 3*f + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -101?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p + 12*p + f + 77, -p + 5*f + 26 = -3 + 10 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 14*j - 51. Let n be w(-17). Suppose 3*z - 3 = 0, n*z = -b - 4*z + 132. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385196 is divided by 14813.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 409191, 408659, 408127?\n\"Answer: -532*q + 409723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31\/150 - -326\/25. Find the common denominator of x and (5 - (-63)\/(-12))\/(2\/(-244)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1008098 plus 0?\nAnswer: 0.1008098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 9 - 12)*(-1 + 2 + 0)*(-3*m**3 + 4*m**3 - 3*m**3) + (3*m**2 - 4*m**2 - m**2)*(2 + 2*m - 2) to k + p*m + u*m**3 + w*m**2 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:22 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 10*j - 8. Let t be o(8). Suppose 4*v - 4 = -s - 5, t = -4*v. Suppose -3*h + 9*l = s*l - 10, -h + 22 = 4*l. Solve 4*m = 14 + h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10893396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 - -269 - (15 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*v - 113*v = 566*v + 15810 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -75. Are 7 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*w - 13 - 5 = 0, -2*v + 5*w = 15. Let i = -17 - -13. Let k be (i\/(-6))\/(50\/(-30)). Put -1, v, k in ascending order.\nAnswer: v, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 940719*x**3 - 2960*x**2 - 83 wrt x.\nAnswer: 5644314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -444, -740, -1054, -1392, -1760, -2164?\nAnswer: -2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 1, s: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*c + 40 = 313. Let q(f) = f**3 + 2*f**2 - 2*f + 7. Calculate q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135854707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 38*y**3 + 2*y**2 + 4*y - 1. Let z(x) = -75*x**3 - 3*x**2 - 10*x + 3. Give -7*m(i) - 3*z(i).\nAnswer: -41*i**3 - 5*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 23.86015 hours?\nAnswer: 85896540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:18 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - d**2 - 27 - 35.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y + 3773060686 - 3773060686.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 16 = -20*i - 2*u, 5*u - 21 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(-1 + (-4)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -224 - -220 - (0 - (1 + -8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -631, -2103, -4543, -7939, -12279, -17551, -23743?\n\"Answer: 2*n**3 - 496*n**2 + 2*n - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 640*r**5 + 5*r**4 + 13*r**3 + 7*r**2 - 2*r - 2430?\nAnswer: 38400*r**2 + 120*r + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14788931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrifrrfi. What is prob of picking 1 r and 2 f?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2268000 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -42, -62, -82, -102, -122?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.4 (c) -37 (d) -8 (e) -7 (f) -2\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46156977 is divided by 1846278?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 52 (b) 1\/4 (c) 2\/11 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:59 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 5*f + 4. Suppose -3 - f = -2*l. Calculate the greatest common factor of 22 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 45 = 3*q. Let m = 6 - q. Find the common denominator of 4 + m - 81\/10 and 59\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30140*g**2*o**3 + 27*g**2*o**2*u + 3522*g**2*o + 27*g*o**3*u - g*o**2*u - 3*g*o*u - 2*o**2*u wrt o?\nAnswer: -180840*g**2 + 162*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23072546 to the nearest integer?\nAnswer: 4803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 2.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367876 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 + -0.23. Let y = 1.16 + a. Which is smaller: -3\/8 or y?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-80)*5\/((-10)\/(-12))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2016\/(-168))\/(3\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 1)\/4 - -1. Suppose 0*m + 3*m = p. Solve 0 + 2\/5*x**2 - 2\/5*x**4 + m*x + 0*x**3 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -208.8 - -206.8. Is i greater than or equal to 10\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-27))\/(2\/6)*-18. Let k(p) = 86*p**2 - 2*p + 45. Let g be k(0). Calculate the greatest common factor of g and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s. Let k(u) = 4 + 7*u**2 + 0*u + 2 - u - 9*u**2 + 3*u**2. Let c be k(s). Are c and 6 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 times 108320?\nAnswer: -35745.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 2:43 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**3 + 8*w**2 + 5*w - 1. Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g + 9*g - 212*g**3 + 11*g.\nAnswer: -212*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*q - 684?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*w - 7 + 3, 0 = -k + 2*w - 2. Let h(r) = -r**3 + 2*r + 6. Let p be h(k). What is the greatest common factor of 15 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 914757672 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g - 6. Let y(q) = 5 + 1 - q**2 - 8 + 23*q. Let o be y(23). Let s(d) = 3*d - 1. Determine o*i(n) + 11*s(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1115 minus 6290350?\nAnswer: -6290350.1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -86, -185, -286, -389, -494?\n\"Answer: -q**2 - 96*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-2 + -7 + 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/4 + 5*t**4\/4 - 35*t**3\/4 - 85*t**2\/4 + 17*t\/2 + 20 = 0. Calculate t.\nAnswer: -8, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 10 + 11. Let a be 0\/(3 + 0) - (1 + y). What is the biggest value in a, -3, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqe. What is prob of sequence mq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + (0 + -5 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1 + 4559*o - 1521*o - 1522*o - 1517*o. Let k(l) = -13*l - 3. Give 2*d(r) - k(r).\nAnswer: 11*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216836\/25577343 + 8\/86119. Let f be 1\/(-2) + (-141)\/(-242). Let l = f - b. Are l and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17621173 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s. Let p(h) = 2*h**2 + 108*h - 186. Give p(m(i)).\nAnswer: 242*i**2 + 1188*i - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1925701 is divided by 35661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 - 68347*j**2\/4 + 291948482*j + 291965569.\nAnswer: (j - 34174)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = 45. Let z(p) = -p**3 + 20*p**2 + p - 19. Let u(n) = -1. Let k(m) = 4*u(m) + z(m). Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5643.38 and 423?\nAnswer: 6066.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 3*j - 48 - 8*j. Let c be t(4). Do c and -52 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 11 + -2 - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*f**5 - d*f**3 - 12*d*f + 38*d - 98*f**4 wrt f?\nAnswer: 40*d*f**3 - 6*d*f - 1176*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -3\/10, 5\/3, 0.4, 19, 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Put x, 0, -1 in decreasing order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497077?\nAnswer: 7, 71011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/3 + -2 + 3. Let b(l) = -l**3 - l**2 + 71. Let u be b(x). Suppose 0 = -5*y + 196 - u. What is the highest common factor of 175 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 10\/9. Let d be ((-1)\/(-3))\/(-3 - (-1820)\/606). Let n = 101 - d. Is n less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000802556 to five decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/10 + 3*q**4 - 20*q**3 - 200*q**2 - 12*q - 6. Factor x(k).\nAnswer: -2*(k - 10)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2 and 145\/1398.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 1428*p**2 - 4*p - 12. Let k(d) = 8*d**3 - 4284*d**2 - 11*d - 33. Calculate -4*k(r) + 11*z(r).\nAnswer: r**3 + 1428*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 7081.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35619156 divided by -11873052.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 29, 41, 55, 71, 89, 109?\n\"Answer: r**2 + 7*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(1 + 0 + 1) - o + o - 2*o + (-15001 + 15001 - 1028*o + (0 - 2 - 1)*(0 - o + 0))*(2 + 3 - 6).\nAnswer: 1021*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/((sqrt(64)*-2 - sqrt(64)) + sqrt(64)).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -30, 2\/35, -3\/2, 10, -0.3 in decreasing order.\nAnswer: 10, 3, 2\/35, -0.3, -3\/2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122158689 - 122158233 = 24*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239\/5 + -238\/5. Put -5, -2\/17, o, 5 in decreasing order.\nAnswer: 5, o, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -520?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 3954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33d (base 16) to base 6.\nAnswer: -3501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-30) + 6*192\/5400?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j + 12, 0 = -c + 4*j + 37. Calculate the remainder when 48 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 - 1168*v - 85264 = 0. What is v?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -259*h + 1129721 + 657379. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + 12.3. Let n = -1.6 - i. What is n rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24700000 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 44. Suppose 24*o + 32 = j*o. Solve p = -3*p + o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 2*m - 169 - m + 169 - 19*m**2 to v*m**2 + s + b*m and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 9*r**2 + 17*r - 18. Suppose 119*k + 34 = 123*k - p, 5*p = 2*k - 44. Calculate q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 92\/(-20) + 4 - (-138)\/5. Suppose z = 3*r - 51. Are r and 23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*i - 34 = -2*u - 130*i, 2*i - 18 = 4*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -338*i + 4455. What is the remainder when f(13) is divided by (-34)\/(-3) + (-3)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 98.4, -5, 1\/10 in ascending order.\nAnswer: -5, 1\/10, 2\/17, 98.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/145 and 57\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1 + 1 + sqrt(192))**2 + (2 + 1*sqrt(192) + sqrt(192) + sqrt(192))**2.\nAnswer: 96*sqrt(3) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-30) - 2\/(-5). Suppose z = -w - 8 + 13. What is the lowest common multiple of w and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + 0)*1\/4. Let v(o) = -2*o + k - 3 + 5 - 4*o**2 - 2. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -96. Let d = -22 - y. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.4, -0.06, 4\/7, 0.0889?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**3 + 2*t**2 - 2*t + 2. Let i(o) = o**3 - o**2 + o - 1. Suppose 3*h - 6 = 4*x, 4 = 5*h - 5*x - 6. Calculate h*i(f) + d(f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - -4 - 28) + -36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 30. Let t = 83 - c. Solve 0 = -4*k + t + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 2. Let v(m) = 8*m - 3. Let u(r) = -5*d(r) + 3*v(r). What is the tens digit of u(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-4)\/(-14) - (-1066)\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 19 - 35 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2352094 and 10266?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109\/2513 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-16)\/20))\/((-8)\/((-152)\/19))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {p: 2, s: 2, x: 1, u: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/2 - -5 - 0. Suppose q*l - 18 = -l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343141 is divided by 171561.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -4)*(-18)\/6. Let a be (-3)\/(-4) + 10\/(-24). Let k = 156 - 2026\/13. What is the biggest value in a, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*u + k, -k = -u - 501 + 493 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 406 + -405. Sort a, -3, 13, 4 in descending order.\nAnswer: 13, 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2952, 5040, 7128, 9216, 11304?\n\"Answer: 2088*q + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 9. Suppose -8*s + 4*s + 8 = 0. Suppose 3*d - 25 = -s*d. What is the least common multiple of d and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 154 + h**2 + 11*h + 8*h - 154. Suppose -51 = -4*s - 19. Calculate the smallest common multiple of s and q(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 35*v + 2. Let g(j) = 1190*j**2 - 17*j - 7. Let o be g(11). Let s(f) = o - f**2 - 143796. Give y(s(t)).\nAnswer: -35*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1280*c - 689434 + 689434 in the form i*c + t and give i.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)*l*((l*l**(5\/7)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - 5*a)*((6*a - 3*a - a)*(-2 - 2 + 1) - 32*a - 14*a + 68*a - 3*a + 4*a + a).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 0*v**2 + v - 30 + 2*v**2 - v**3 + 28 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 4. Suppose 12*j = 16*j + 84. Let y(h) = -9*h - 42. Let r(z) = j*l(z) - 2*y(z). Let c(o) = -o + 1. What is -c(f) + r(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 44*r - 215 + 85 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*j - 51. Let o(i) = 6*i**3 + 7*i**2 - 6*i. Let p(g) = -4*g**3 - 5*g**2 + 4*g. Give j*p(t) + 5*o(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -27. Factor r*v - 10 - 5*v**2 - 9*v - 9*v.\nAnswer: -5*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + -70 + (1 - 5).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3533*d**4 + 2*d**3 - 12840*d**2.\nAnswer: -84792*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 13*l + 12. Let t be d(-14). Suppose -y - 8 = -t. Suppose 0*s = 2*s + 3*v + 13, 3*s = 3*v + y. Put 2, 0, s in increasing order.\nAnswer: 0, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105.5 + 106. Sort 8, r, 2, -1\/3 in ascending order.\nAnswer: -1\/3, r, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26418997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/12 - 17*j**3\/6 + 22*j**2 - 17*j. Let b be q(-19). Suppose -2229 - 1053 = -b*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 226, 228, 230?\n\"Answer: 2*r + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -513 + 517. Let h(r) = 3*r**3 + 3*r**2 + 3. Let c(w) = -3*w**3 - 4*w**2 - 4. What is s*h(d) + 3*c(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7199781570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/300 and -37\/14655.\nAnswer: 293100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 3*m - 9. Let j be s(6). Is 8\/(-12) - (-3723)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 1 - 1 + (-c**2 - 4 + 4)*((1 - 1 + c)*(-c + 3*c - c) + 2*c**2 - 2*c**2 + c**2)*(-10 + 20 + 22).\nAnswer: -65*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2412)\/9045*(-330)\/(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*x + 2*h = -119*x - 1, 0 = 4*x + 4*h - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 40 = -3*q, -3*k + 2*k + 4*q = -8. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/440 and 85\/46634?\nAnswer: 10259480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 1 - 7 + (-2 + 0 + 3)*(2 + 0 + 0))*((3*f - 4*f - f)*(4 - 5 + 0) + 5*f - 9 + 9 + f + 2*f - 2*f) as n*f + a and give n.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 260\/12 + -6 + (-1)\/(-3). Let f be (-28)\/(-5) - (t\/10 + -1). Solve 3*p = -4*r - 15, -f*r = -8*r + 4*p + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375653097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + -4 - -3 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1378 <= -1384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/10 of a centimeter?\nAnswer: 19000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17609536 and 1344.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 12. Let u = -73 - -78. Which is the nearest to 0.1? (a) u (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122323 (base 8) to base 2\nAnswer: 1010010011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-30))\/(-1 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.13 - 0.13. Let f = o - 2.2. Which is the nearest to f? (a) 3 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9))**29\/((s**(2\/5)\/s)\/(s\/s**5)) assuming s is positive.\nAnswer: s**(-443\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**4 - 10*c. Let v(a) = a. Let f(u) = -l(u) - 5*v(u). What is the second derivative of f(z) wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - 5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 5551*m**4 - 44368*m**3 - 133064*m**2 - 177392*m - 88688.\nAnswer: -(m + 2)**4*(m + 5543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 times -211.64?\nAnswer: -158.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 0.171 (c) 0.4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*l + 66*l + 40*l**2 + 12 + 21*l to the form j*l**2 + k + n*l and give j.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/8 and 71\/928?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. Solve 5*n - g*z = -z, -3*n = 4*z - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*1*7\/(-56)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 455 and 866.\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-5) + -4 - -2. Sort 3, -5, v in increasing order.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1616662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4249, 8479, 12673, 16813, 20881, 24859?\n\"Answer: -3*c**3 + 4251*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 - 242. Suppose 0 = y*n + 5*r - 12035, -2*n = -5*r + 3989 - 12054. What is n rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/140, 1\/12, -17 in descending order.\nAnswer: 1\/12, -3\/140, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62\/9*o + 44\/9 + 16\/9*o**2 - 2\/9*o**3.\nAnswer: -2*(o - 11)*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 3*l)*(3 - 3 + 3) - 3*l - l + 5*l - 16*l + 8*l - 13*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11301*g - 11301*g - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 + 290. Suppose q + t = 129. Suppose -61*b - 20 = -66*b. Sort -24, q, b in ascending order.\nAnswer: -24, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 180 and 121 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -222981 divided by 957?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3\/6 + s**2\/2 - 2*s. Let a be y(1). Let w = -22 - -26. Solve 2*k + 5*o - 9 = a, w*o - 27 = 5*k - 0*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 11) to base 16\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843*v + 838*v + 2*w = 38, 0 = -2*v - 6*w - 22 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 23. Suppose 60 = -0*x + 5*x. Calculate the smallest common multiple of j(9) and x.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054584 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 1.3, 0.3, 3, 4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516 a factor of 1010817387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1625 and 12.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 = -3*g + 3*q + 565, q + 1409 = 4*g. Calculate the remainder when g is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 63, -0.27, 2, -0.3 in decreasing order.\nAnswer: 63, 2, -0.27, -0.3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**3 - 13*a**2 + 9*a - 30. What is the units digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3\/5 (c) 779 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -218, -416, -614, -812, -1010?\n\"Answer: -198*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 128.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3835 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2 + 1 + 7*h**2 - h + 0*h**3 + 0 - 6*h**3. Determine r(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9392 and 7631?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 6:39 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/70)\/(-2*1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33634787, -67269576, -100904365, -134539154?\nAnswer: -168173943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b - 1. Suppose 4*g + 1430 = 410. What is the lowest common multiple of d(-5) and 117\/17 + (-30)\/g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010259 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 9*b - 1. Let n = -7 + 19. Let c = n - 7. What is the remainder when q(-6) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -126*h*w**2 + 1362266739*h + 125956*w**2 wrt w?\nAnswer: -252*h*w + 251912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*-1*(-5)\/((-520)\/12)*164\/410?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -3cdd?\nAnswer: 3cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 5, -2\/5, 7, 9901?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.348 + -17.778. Let v = l - 10.52. Let z = -27 - v. What is the third biggest value in -1\/8, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, k: 1, g: 3, f: 2, a: 3, s: 2}. Give prob of sequence fgk.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -765327?\nAnswer: -229598.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15991.96 decades to centuries.\nAnswer: 1599.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 8*z**2 - 2*z - 4. Let h(j) = j + 32*j**2 - 6*j - 16*j**2 - 2*j**3 - 6. Let v(c) = -6*h(c) + 11*w(c). What is v(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*h - 2875 = 0, -2*r = -5*h + 242 - 1389. Let z = 325 - r. Let g = -128 - z. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o + 9108*o**3 - 4555*o**3 + 30*o - 87*o + 27*o - 4555*o**3.\nAnswer: -2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1607460, -1607494, -1607540, -1607598, -1607668, -1607750?\n\"Answer: -6*k**2 - 16*k - 1607438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19040 = 3*s. Is 36 a factor of (-4)\/22 - s\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/20 and -109\/3640?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + p**2 + p. Let t(c) = -8*c**3 + 2*c**2 - c + 1. Let f(y) = -12*y**3 + y**2 - 7*y + 1. Let m(h) = -f(h) + t(h). Determine -6*b(z) + m(z).\nAnswer: -2*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 - 6*c**3 - c**2 + 24*c - 16 = 0. What is c?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/89 (b) -4 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 8 = 4*w. Let a = w - 8. Let v(x) = -5*x**a + 8*x**2 + 7*x**2. Let q(z) = -z. Give q(v(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r + 13. Let f(i) = 7*i - 6. Let n(v) = 13*f(v) + 6*j(v). Let w(p) = 0*p - 4*p - 2*p. Determine n(w(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/214775 and -49\/472505?\nAnswer: 2362525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 154 = 3*v. Let u be v + 0*1\/3. Let q = u + 25. Let c(b) = b**2 + b - 4. Give c(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91248320.\nAnswer: 2, 5, 285151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39351966 divided by -4.\nAnswer: 19675983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.492322539 - -5249321082.592322539. Let y = 5249321303.10000103 - x. Let d = y + -233. Round d to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 16*s**2 - 10*s - 1. Let h be i(7). Let n = h + 783. Suppose -21 = -4*b + n. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780800695 a multiple of 11605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567487, 1134923, 1702263, 2269459, 2836463, 3403227?\nAnswer: 3969703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -2, 0.1, 1\/7, 0.057, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - b**2)*(-3*b + 0*b + 2*b) + 8225*b**3 + 3560*b**3 + 6651*b**3 in the form x + p*b + y*b**3 + l*b**2 and give y.\nAnswer: 18437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-5 + 11 + -7). Solve 3*y + 3*x = -l*x + 21, 5*y - x = 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9966.762 litres in millilitres?\nAnswer: 9966762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 8) in base 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722, -608, -484, -344, -182?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 + 6 = 5*d, -4*j + 6 = -3*d. Suppose -3*o = -2*o + d. Suppose -13*a - 9 = -48. Which is greater: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3570 is divided by 1142.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.455 + 0.455. What is the second smallest value in 4, x, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 5395?\nAnswer: 5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/39 - 118568312\/(-897) - 5\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 1, -9, -16.\nAnswer: -16, -9, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r**(-2\/19)\/r)))\/r**(-1)*r**(-3)\/(r*r*r**8) assuming r is positive.\nAnswer: r**(-230\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**6\/120 - 21*x**5\/160 + 67*x**4\/96 - 11*x**3\/8 + 7272*x. Let b(q) = 0. What is q?\nAnswer: 0, 2, 3, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:52 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2092\/10 - -1 - 62\/310. Calculate the greatest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 + 30*f**2 - 40*f + 27. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15861\/4 + 3942. Find the common denominator of 321\/90 + (-4)\/6 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**2 + 5*c - 8. Let w(v) = -9*v**2 + 4*v - 7. Let p(n) = -6*b(n) + 7*w(n). Let a be p(-1). What is the smallest value in -0.2, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 - 412. Suppose b*l - 297 = -270. Solve 0 = -l*f + 3*f - 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c - 2. Let j be x(1). Let o be j\/51 - (-87)\/17. Solve 0 = -q + 2*t + 11, 5*q + 2*t - 27 = o*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 120, 81, -10, -171?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164144552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + 0*x)*(-2*x + x + 0*x) - 3*x**2 + 2*x - 2*x**2 + x**2 + x**2 - 2*x**2 + 3*x**2 + (2 + 2 - 5)*(-x**2 + 4*x - 4*x) - x + x - 2*x**2.\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)*892\/(-8). What is the common denominator of 113\/18 and (-2)\/(-10) + f\/90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173160 = -12*t - 8*t. What is t rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -6*g + 91 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 14*d + 6. Give m(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1441400 and 5200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302200 is divided by 10707?\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/30 - g**5\/30 + g**3\/6 + 3*g**2. Let c = -3 + 2. Give j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198 - -202. Suppose -3*b - 211 = 392. Let u be 6\/21 - b\/7. Solve 2*t + f*p - u = -3*t, p - 26 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4759 divide 52972429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -689560 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/8 - 0 - (-2)\/(-8). Let t = 0 + u. What is the least common multiple of 68 and t?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b28 - a7c5?\nAnswer: -9a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 - -231. Suppose 44*a + 24 = b*a. Let x be (-2)\/4*(-2 + -6). Solve -4*u = -a*l - 20, x*u + 4*l = -0*l - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 24. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3341 times -60\nAnswer: -200460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 8) to base 15.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -124, -1\/526.\nAnswer: -124, -0.4, -1\/526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25cdca88 + -1?\nAnswer: 25cdca87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4\/7, -1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38*(-16)\/(-10))\/((-558)\/1395). Solve 0 = -j*q + 159*q + 49 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/10 + 5*m**4\/12 + 7*m**3\/3 + 3*m**2\/2 - 96*m. Let d be n(4). Let q(y) = -y + 9. Give q(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 - 5*f**2 + 6*f**2 + 3190*f - 3319*f.\nAnswer: f**2 - 129*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 57114 divided by 334\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 13. Let d = 10 - q. Suppose -6*v + v + d = 0. Solve -2 = o - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 + 4*r**2 + 9*r. Let q(t) = t**3 + t**2 + 2*t. Let y be 4*(-3)\/(-114) - 252\/(-133). Let h be (6\/8)\/(1\/(-12)). What is h*q(b) + y*l(b)?\nAnswer: b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -1\/6*v**3 - 1\/120*v**6 - v**2 + 0*v**5 + 0 + 0*v**4 + 0*v. Differentiate t(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - w + 30. Let b be d(3). Suppose -2*i + 10 = 0, 2*u - 2*i + 1 = -i. Let a = 3 + u. Solve 6 = -4*x + x - a*n, b = n + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1483*k. Let g(f) = 2*f + 114. What is g(v(p))?\nAnswer: -2966*p + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003042 (base 5) in base 8?\nAnswer: 37226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:06 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 1\/20*h**5 + 0 - 5\/2*h**2 - 1\/6*h**3 - 2*h + 2\/3*h**4. Let d be k(-8). Let z(f) = f**3 - 3*f**2 + f + 1. Give z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16264232.\nAnswer: 2, 101, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1634427, 1634325, 1634223, 1634121?\n\"Answer: -102*t + 1634529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*i - 9*i - 4*i - 60. Suppose -7 = -3*v - 1. Solve -v*t = 4*y + 14, -3*y - t - i = 3*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 241\nAnswer: 65\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 178618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -458955*x - 1645. Let v(i) = 1675*i + 6. Determine 6*c(r) + 1645*v(r).\nAnswer: 1645*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-4))\/((-2)\/(-4) + 4\/8)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/2 - 4*s**3\/3 - s + 4. Let x(f) = -2*f**3 + 5*f**2 + 1. Determine 2*x(r) + 3*z(r).\nAnswer: 2*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:37 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38874)\/465 + 84)\/((-1)\/(-60))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 61896 = -d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1631464 plus -0.33?\nAnswer: -3.4931464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808 (base 10) in base 6?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288405 and 465375?\nAnswer: 526339125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -11. Let g = -1 - -2. Let i = g - h. What is the remainder when 16 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68089946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1031*b. Let d(w) = 3*w**2 - 3*w. Calculate d(f(v)).\nAnswer: 3188883*v**2 + 3093*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 40207745 and -2.\nAnswer: 40207743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -40. Let f be (-5)\/u*1071\/3842. Let c = 2\/113 + f. What is the closest to -0.2 in 0, -1, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 342, 1053, 2362, 4449, 7494, 11677, 17178?\nAnswer: 24177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168906864 to the power of 1\/4, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0 - 1\/3*i**3 - 2*i - 5\/2*i**2. Let g(j) = -j - 11. Let n be g(-6). Determine d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26223941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2263801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18513*d = -18484*d + 87 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 16. Let l be (3*-3)\/((-69)\/506). Calculate the highest common divisor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 1554344346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 11*d**4\/5 + 31695*d**3 + 571003362*d**2\/5 + 321569300*d - 311212824\/5 = 0?\nAnswer: -7202, -3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922541793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/33 + (-12)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -255 - 1?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 - 8*o + 2.\nAnswer: -8*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*0.33.\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*6\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -213*(-2)\/2 - ((-3 - -9) + -3). Suppose 0 = -o - 2*x - 2*x + 212, -4*o + 848 = 2*x. Is o at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0.5. Let c = -0.324 - -0.034. Let g = 0.11 - c. What is the nearest to 0 in g, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*d**4 - 1 - 3*d**2 - d**3 + 0*d**2 + 2*d**2 + 0*d**2 + 9*d**4 - d to the form i*d**4 + m*d**2 + v*d + q*d**3 + y and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/7)*n**(-2) assuming n is positive.\nAnswer: n**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 84519992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1499? (a) 261\/7 (b) -0.2 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12692 + -11409. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111101101 (base 2) to base 14\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20329653 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -567\/2 - -838\/3. Calculate the common denominator of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*j + 77 + 5, -4*s - 4*j + 84 = 0. Solve -2*k = 2*i - 19 - 1, 0 = i + 3*k - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173467709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.043, -2\/631, 3, -1\/2.\nAnswer: -1\/2, -0.043, -2\/631, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 22916?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/l**(2\/3))\/l)**(-47)\/(l*l\/(l*l\/(l**(-2)\/l)*l*l))**(14\/5))**(-7) assuming l is positive.\nAnswer: l**(1022\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 43, -25, 1 in increasing order.\nAnswer: -25, 1, 37, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -8 - ((6 + -7 - 3) + 14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30\/61? (a) -3\/7 (b) 14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 38\/4443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1749 and 477?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43201 at least as big as -43201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 23498, 95, -2\/13 in increasing order.\nAnswer: -2\/13, 4, 5, 95, 23498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 30. Let l = 26 + f. Suppose -l*y + 25 + 148 = 3*r, r = -5*y + 76. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.2 + 29.2. Which is the nearest to n? (a) -0.5 (b) -0.2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*j + 246*j - 28 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6288164+-62\nAnswer: -6288226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33620 and 960?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(2*sqrt(1584)).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(-4 + (sqrt(102)\/(sqrt(36)\/(sqrt(6)*2)) - (sqrt(17) - (-2 + (sqrt(17)*3 - sqrt(17))**2))*-3)) + -5).\nAnswer: -788 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 + -473\/4. Find the common denominator of u and -151\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w + 116. Let h = -10 - w. Solve -h = -o - 5*t, 4*o + 3*t = -0*t + 25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-7\/5)*t)\/t)\/t*t**(-2\/3)*t**5*t\/(t*t**(2\/43)) assuming t is positive.\nAnswer: t**(2507\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.31298769+-1713\nAnswer: -1712.68701231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from lllelllllnlllpl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 859055.5ug in milligrams?\nAnswer: 859.0555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/8*2\/(-4). Suppose k*o - 9*o = -144. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159138357 to the nearest one hundred thousand.\nAnswer: -159100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2154, 17009, 57314, 135795, 265178, 458189, 727554?\n\"Answer: 2121*s**3 - s**2 + 11*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z**2 - 6*z - 2. Let a = -3309 - -3313. Let d(c) = -7*c**2 + 5*c + 1. Give a*d(q) + 3*p(q).\nAnswer: -4*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4224344 (base 5) to base 6.\nAnswer: 1302503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955113 is divided by 4615?\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26598.\nAnswer: 2, 3, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(10\/10))\/(17*1)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 137506392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**2 + 2. Suppose -114*w = -108*w - 96. Let x(v) = 4 - 4 - w*v + 17*v. Calculate x(h(f)).\nAnswer: 14*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 211499 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0864 (b) 5 (c) -5 (d) 1 (e) -0.8 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2 = 2*g + 2*x, -x - 15 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8668*g**2*v**3 + 43*g*v**3 + 64*g*v**2 - v**2 wrt g.\nAnswer: -17336*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**4\/18 + 4*m**3\/3 + m**2\/9 - 4*m - 279. Factor u(j).\nAnswer: -2*(j - 18)*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2299) - (-1 + sqrt(2299))) + 5)**2 - (-2*sqrt(57)\/sqrt(3) - sqrt(304)*-3).\nAnswer: -10*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -29, -36, -43, -50?\n\"Answer: -7*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 + 2*z**2. Let l(f) be the first derivative of -f**4\/4 + f**3\/3 - 6. Give -2*l(g) + q(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/5240070 and -53\/2017818?\nAnswer: 675969030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 308 - -73. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 417105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*16*(-6)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*g + 4*j, -2*g + j + 1 + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/55 and 76\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11.85. Let w = u + 7.15. Let s = w + -7. Which is the second smallest value? (a) -0.3 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 123, 251, 375, 489, 587, 663?\n\"Answer: -t**3 + 4*t**2 + 123*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f, 0 = -5*v + 2*f - 5 - 2. Let n(d) = -d + 4. Let p be n(4). Let i = p - v. Solve 0*w + i*w = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*x, -4*x = -9*m + 4*m + 27. Solve m*i + 2*i = 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1908)\/4770)\/((-1)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*h + 6, -5*c - 5*h = -55. Let s be (-22)\/5 + (-24 - 366\/(-15)) - -8. Which is greater: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 3*h)*(-63*h**3 - 118*h**3 - 11*h**3).\nAnswer: 384*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000150873 to six dps.\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -0*w + w, 4*w = 2*b - 8. Suppose 13*u - 1808 + 716 = b. Let i be 1*-1 - 127\/(-1). Calculate the highest common divisor of i and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1182484645*d - 1099045793 wrt d?\nAnswer: 1182484645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -54296*t - 162122. Calculate i(-3).\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(-3 + sqrt(272) + 0))**2 + (sqrt(272)*1*-3)**2 + -3.\nAnswer: -24*sqrt(17) + 2722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311128 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-18)\/(-324) - (-21)\/81*-3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 3. Let u(d) = -61*d**2 - 6. Let l(c) = 2*p(c) + u(c). Let z(r) = -2*r**2. Determine z(l(y)).\nAnswer: -6498*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.064 (b) -0.07 (c) -1 (d) -4 (e) -18 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 27*h - 34. Let n be r(-10). Let t = n - -69. Calculate the greatest common divisor of 35 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 + 5*l**3 - 8*l**3 - 9*l**2 + 17*l**2.\nAnswer: l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from wcwwltwwlll.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457702 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: Solve -4*t - n + 0 = -16, 0 = -5*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.047 - 0.263. Let q = j - -0.11. What is the third smallest value in -4, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -233, 2.8 in ascending order.\nAnswer: -233, -4, 2.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -65. Suppose -4*h - 5*m = -7*m - u, -5*h + m = -12. Solve -4*y + 3 = h*c - y, -2*y + 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1750 and 42?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 2*b + 2. Let k be t(-3). Let u(h) = h**3 - 6*h**2 + 6*h + 4. Determine u(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13043 + -2?\nAnswer: 13041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-43523)\/(-71) + (0 + -3 - -4). Which is smaller: 612 or a?\nAnswer: 612","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/20 - (-18)\/5. What is the derivative of -4*t**4 + 3*t**4 + q*t**4 - 3 - 2*t**4 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**3 - 141*n**2 - 24*n + 5. What is the remainder when 117 is divided by y(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/4 - 2*j**3\/3 - 3*j**2\/2 + 158. Let x(t) = t**3 - 2*t**2 - 4*t. Give 3*l(p) - 2*x(p).\nAnswer: p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009638 + 1968430895.\nAnswer: 1968430894.990362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*l + 93*l + 3*l)*(0 - 2 + 3)*(0 - 4 - 1).\nAnswer: -305*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6610 - -5?\nAnswer: -6605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffvvfff. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30031030 + 331?\nAnswer: 30032021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -73. Factor -g**3 - 270 + 275 - s*g + 11*g**3 - g**4 - 4*g**4.\nAnswer: -5*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 408 - -366762?\nAnswer: 367271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756 divided by -18.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5 - 5*l - 4*l**2 - 16 + 13*l**2. Let m be 18\/(-15)*(-5)\/2. Let v(c) = -m*c**2 + 1 + 3 + 2*c - 1 + 1. Calculate 4*h(z) + 11*v(z).\nAnswer: 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 4*p**2 - 5. Let c(n) = -3*n**2 - n + 2. Let f be c(-2). Let t be (-12)\/f + (-2)\/4. Let i be (t - -2) + -1 + 2. Calculate g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*x - 8*d - 1017 = -6*d, -x - 10*d + 6*d = -33 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + f - 2. Let h be v(3). Suppose h = -4*g - 5. Let s(t) = -t - 2. Determine s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 14. Let c(i) = -i**3 - 11*i**2 - 9*i - 26. Does 10 divide c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - 120. Let q be (-6)\/(-21) - (-233)\/(-7). Let y = q + n. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*o - 293. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 5*i + 23. Suppose 9*t = 5*t - 16. Let y be 1*(-10 - (t + 1)). What is the tens digit of s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 34?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {x: 2, g: 2, i: 12, q: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 0.29. Let t = 6 - 1. Let s = 512\/133 - 84\/19. What is the closest to 0.1 in s, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-30))\/((-2)\/42 - 0). Suppose -c + 2 = -0. Let j(m) = -6*m + 6. Let f(r) = -r + 1. What is c*j(q) + z*f(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 + 5 + -5 - 2) - -23.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 2:45 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -188549078*h**4 - 317185704*h wrt h?\nAnswer: -2262588936*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100101 (base 2) to base 14\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 - 0.9. Let m = 1.0047 - 0.0047. Let l = 84 - 85. What is the nearest to l in r, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12400, 12398, 12396, 12394?\nAnswer: 12392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**4\/24 - y**3\/3 + 7*y**2. Let v be (-1 - 0)\/((-5)\/60). Let h be m(v). Which is smaller: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7582 and 87416?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20304 divided by -3384.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16*n. Let r be 1 + (0\/3 - -1). Let k(d) = 4*d**2 - 2*d**2 + r*d**2 - 3*d**2. Give k(x(i)).\nAnswer: 256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-216)\/16)*(0 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4 - 100*k + 101*k to the form a*k + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 26*c**2 + 4*c + 111. Determine r(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:14 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 1 - 23. What is the third derivative of -b*t**2 - 2*t**2 - 5*t**2 + 7*t**4 wrt t?\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - 6 - ((-11 - -19) + -10 + -17))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:51 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 divided by 6.\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2936084400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1647, 3167, 4687, 6207, 7727, 9247?\n\"Answer: 1520*q + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1467526 less than or equal to -1467525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -34, -229, -638, -1333?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 2)*-6 - (-5 + 3 + sqrt(27)).\nAnswer: -21*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeooee. What is prob of picking 1 e and 3 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 + -2 + 4 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 8 - v - 10 - 10.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 246. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -11*k**5\/15 - k**3\/3 - 5*k**2\/2 - 117. Let u(j) be the third derivative of f(j). Let q(s) = -s. What is q(u(i))?\nAnswer: 88*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 478*y + 1911\/4.\nAnswer: (y - 1911)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.83 + -0.8. Which is the second smallest value? (a) -0.3 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*l - 16, -2*l + 6 = -0*m + 5*m. Suppose 0 = a - m*n - 1, 2*a - 4*n = a - 3. What is the common denominator of (-152)\/22 - (a + -7) and 87\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2)\/sqrt(5) + sqrt(22))\/(-1*sqrt(99)) - -1*(sqrt(72) - -2*sqrt(72) - sqrt(72) - sqrt(72))\/sqrt(9)*5.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2473, 15, 1 in decreasing order.\nAnswer: 2473, 15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 95*c**2 + 102*c + 571. Let t be n(-96). Let i(a) = 8*a**3 - 4*a**2 - 3. Let x(o) = 15*o**3 - 7*o**2 - 5. What is t*i(w) + 3*x(w)?\nAnswer: 5*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o + 4. Let k = 5 - 2. Suppose -2*r - q + 9 = -5*r, 0 = r + k*q + 3. What is the units digit of d(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 16) in base 5?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most 62\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 5*g - 5. Let l be f(6). Let s(z) be the second derivative of 13*z**5\/10 - z**4\/12 - 3*z. What are the prime factors of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15599?\nAnswer: 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 179, 388, 677, 1046, 1495, 2024?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -4*a + 14, -3*t - 15 = -3*a. Suppose 3*o - 642 = -4*b, 3*b - b - 2*o - 328 = a. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (90 - -6)\/(2\/2). Suppose -s = -4*n + 52. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201.5 + -201. What is the nearest to -0.2 in 0.1, r, 0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 19*d**2 + 29*d - 17. Let n be o(16). Let s = 634 + n. Suppose 7*y - 3036 + s = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/4 - (-100)\/(-2). Let p be 2\/(-3) - u\/(-9). Let f(w) = w**3 + 7*w**2 - w - 3. What are the prime factors of f(p)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 121147762.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {q: 1, w: 1, m: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 27*v**2 + 81*v - 79. Let w(j) = 0*j - 16*j**3 + 0*j - 1 + 17*j**3. Let c(f) = d(f) + 2*w(f). What is h in c(h) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 5, o: 4}. What is prob of sequence or?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**4 - 9568*s**2 + 43787*s?\nAnswer: -36*s**2 - 19136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661667 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/3)*m\/m**5)\/((m*m**(5\/3))\/(m*m\/m**(6\/11))) assuming m is positive.\nAnswer: m**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 2*v + 2. Let c(o) = 16*o**2 - 11*o - 11. Let u(a) = -4*c(a) - 22*j(a). Let n = -6 + 9. Let r(q) = 3*q + 3*q**2 - n*q. Determine r(u(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12550 - -4550. Round c to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.254 + 1.246. Do 4 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1050 and 95\/96.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249684356?\nAnswer: 2, 62421089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 8*b + b)*(37*b + 305 - 305) to z + q*b + u*b**2 and give u.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 242*k - 69959. Calculate a(295).\nAnswer: 1431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 95 = -5. Suppose 3*c + 4*x = -q, 2*c + 54 - 17 = x. What is the tens digit of 749\/42 + (-3)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:18 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b + 15. Let d(i) = 22*i - 26. What is 5*d(y) + 7*j(y)?\nAnswer: 5*y - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171504.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -44208.\nAnswer: 44208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 9 - 3. Let i(k) = 3*k - 2. Let t be i(2). Suppose -5*c = b - 16, 22 = -2*b + t*c - 2. Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53782 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = 2*v + 8520. Let d = v - -492. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(637) + 1 + 2)*1)**2 + -5.\nAnswer: -28*sqrt(13) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**3\/6 - 45*c**2\/2 - 3*c. Let p be h(0). Let d = -7 - p. Solve 4*b - 3*m - 9 = -d, 5*b + 2*m = -19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8863 - 3022. Suppose 11672 = 2*d - 3*c + 6*c, 0 = d - c - x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98301 and 434.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*l - 1008 = 66*l - 37*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 11*i + 1. Let p(o) be the first derivative of o**3 + 21*o**2\/2 + 3*o + 20. Let r(g) = -3*p(g) + 5*q(g). What is r(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1251\/32 + -85927\/2208. Calculate the common denominator of r and -11\/1978.\nAnswer: 11868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-72) + 56\/18. Let n be -2*652\/(-24)*a. Suppose -t + n = -15. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.87145 months in centuries?\nAnswer: 0.162392875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-464)\/(-112))*2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 1\/4 (b) 5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 7, -3\/4, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = a - 2*j - 84, -a - 157 = j. Calculate the common denominator of -69\/4 and (12\/(-64))\/(3\/a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 - o**2 + o. Let n = 2 - -2. Suppose 4*g + 12 = -n*x, -3*x = g - 0*x + 11. What is h(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(x + 12 - 13 + 6)*(-3 + 4 - 4) + (3*x - 5*x + 0*x)*(2 + 1 - 1) as i + l*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:55 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 2 - 6 + 0*y + 0*y to r*y**2 + l*y + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30.2 times -11875\nAnswer: 358625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 4, 15*b - 5*v = 6*b - 13*v + 11*v + 60 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -219, -100, 67, 282?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/((-1197)\/63)*124\/8?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4719) + sqrt(4719) + -2*sqrt(39)*2)\/((sqrt(252)\/(-2*sqrt(7)))\/sqrt(12)).\nAnswer: -58*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2057*n**5 + 20*n**2 + 9*n + 50. Let u(r) = 514*r**5 + 5*r**2 + 2*r + 13. Let k(f) = 2*p(f) - 9*u(f). What is the third derivative of k(s) wrt s?\nAnswer: -30720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9154 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*f = 204 + 3986, -3*f + 4195 = x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267 - 3517*s**3 - 776*s**3 - 503*s**2 + 508*s**2 - 161*s**3 wrt s?\nAnswer: -26724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11066941 + -6554341. Round z to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7315 = -21946\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 15. Determine k(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308069 is divided by 77012.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506*l**2 + 0 + 0 - 14*l**3 + 1189*l**2 + 317*l**2.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - ((-120)\/(-189))\/(-4). Let d = p + 13\/21. Let q be ((-6)\/(-9))\/(1\/(-3)). Which is the nearest to d? (a) q (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 a factor of 897457792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -490730930 divided by -245365465?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.06253795 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/17907881 + 1603453756925\/393973382. Let u = -4071 + a. Find the common denominator of u and 93\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 132, 135, -116, -795, -2076, -4133, -7140?\n\"Answer: -29*j**3 + 47*j**2 + 65*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 + 6 - (-1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 74171.33 centuries?\nAnswer: 7417133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a**4 + 126165*a**3 - 41555430*a**2 + 3591062780*a + 1029413160 = 0.\nAnswer: -2\/7, 178, 3249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 261*i. Let d(b) = -3*b. What is z(d(p))?\nAnswer: -783*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 390.2 - 390. Let k = 0 - 0.1. Which is the nearest to k? (a) -7 (b) 2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272568334 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*s - a, 5*a = 2*s - 5*s + 68. Let o = -16 + s. Solve o*f + 8 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from dytddzbybttyztzyyyzd.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252 + 256. Let t(j) be the first derivative of -1 - 12\/25*j**5 + 9\/5*j**2 + 1\/15*j**6 - 4\/5*j + 7\/5*j**y - 32\/15*j**3. Factor t(i).\nAnswer: 2*(i - 2)*(i - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12729338129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*20\/75)\/((-6)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -87, 40, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aofoaoxaxaooadado. What is prob of picking 1 f and 1 x?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -121172, -120959, -120746, -120533, -120320, -120107?\n\"Answer: 213*x - 121385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 647 - 157 = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.468897848 rounded to 4 dps?\nAnswer: 4.4689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 504 + 114, -2*c - 3*c + 3*c + 2*s - 5*s + 244 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 2*z + 2*z + 14, 12 = 5*k - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 7:40 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from efeeejsd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (464\/(-24) + 10)\/((-2)\/(-3)). Let o be (-7)\/(441\/(-10)) + (-4)\/r. Let o*c - 2\/9*c**2 + 0 = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(2\/11)*u)\/u*u*u)*u\/u**0*u**(-7)*(u\/(u\/u**(-2\/3))*u*u)\/u)**35 assuming u is positive.\nAnswer: u**(-7910\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 6) to base 15\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202804147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 3, o: 1, j: 4, g: 1, w: 1}. Give prob of picking 1 g, 2 v, and 1 j.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let y be 0*1*((-21)\/(-6) - 3). Let w be r(y). Solve 3*v - v = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 2262987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1404811920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -25*x**6\/6 - 8*x**5 + 59*x**4\/4 + 170*x**3\/3 + 64*x**2 + 32*x - 61. Determine s so that z(s) = 0.\nAnswer: -1, -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 12. Let q = 104 + -56. Calculate the highest common divisor of c and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 19 = 5*q, 25 = -384*q + 389*q + 5*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7896 and 3431.\nAnswer: 576408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -6.57780942029.\nAnswer: -9.57780942029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 9\/5*n**3 + 0 + 3\/5*n**4 + 0*n + 6\/5*n**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06673 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -53. Let n = 0 - f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 26*r + 80. Let q be u(7). What is the third biggest value in 1\/62, q, -4\/3, 0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 2 - -3) + -2. What is the third derivative of 5*d**2 - l*d**3 + d**3 - d**2 - d**2 wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 19*w + 36 = 0. Suppose 763 = -w*p - 119. What is p rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 > -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:59 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 - 68*d**2\/13 - 190*d\/13 - 124\/13.\nAnswer: -2*(d + 1)*(d + 2)*(d + 31)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4021228 millilitres in litres?\nAnswer: 0.0004021228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40209690 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2255*d. Let b(f) = 2*f**2 - 69*f + 621. Determine h(b(n)).\nAnswer: 4510*n**2 - 155595*n + 1400355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - (-4 + -5))*0. Let w = -3717 + 449761\/121. Is m not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57029?\nAnswer: 7, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00282 and -0.16.\nAnswer: 0.0004512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven halves of a century?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/6 - -2)*(0 + -2). Suppose z = 5*w - 8. Solve -12 = -w*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 2457 = 8639. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1531*a - 1542*a + 11 = 0. Sort -50, -2, a, -3.\nAnswer: -50, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 35*c**2 + c. Let x be n(1). Let l = 72 - x. Suppose 589 = 34*r - 3*r. What is the remainder when l is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - k**3\/6 - 45*k**2 + 3*k. Let u be h(0). What is the units digit of (-16)\/(-3)*u\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1122 - 495 = 19*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 3*v = -5*o - 8, 3*o + 3*v - 6 = 0. Let q = 4 + -6. Is q\/(-4) - 33\/o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 7:39 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/((-2)\/20*2). Let a(t) = -t**d + 18 + 126*t**2 - 126*t**2 + 16*t. Is a(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447.7218 nanometers to kilometers.\nAnswer: 0.0000000004477218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 157*p - 798 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -16. Let g(f) = f**3 + 6*f**2 + 2. Give g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1367 times 123.6\nAnswer: -168961.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19701.\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 - 4*k. Let w be o(5). Suppose j = y + 8268 - 1268, -2*y - 14000 = -w*j. Round y to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*k + 24*k + 4*k**2 + 17*k - 3 + 50*k + 0*k**2 to o*k**2 + j*k + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251179*b*l*z**3 - 2*b*l + 16*b*z**2 + 13714439*b - l*z wrt z.\nAnswer: -753537*b*l*z**2 + 32*b*z - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(sqrt(55) - (sqrt(55) + sqrt(110)\/sqrt(2)))\/sqrt(5) - (sqrt(704) + -2 + sqrt(704) + 4 + sqrt(704) + sqrt(704))).\nAnswer: 2 + 37*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212527569?\nAnswer: 3, 70842523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 - -3. Let t be (-377)\/(-15) + (2 - (-64)\/(-30)). Let j be t*(-1)\/8 + 2\/16. Which is the second biggest value? (a) j (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*i - 5*w, 2*w - 6*w - 8 = 0. Suppose -7 - 9 = -4*y - i*g, 4*g = -4*y + 8. Suppose y*n - 220 = n. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51300371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480494.\nAnswer: 2, 7, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + (sqrt(5) - (sqrt(605) + sqrt(605) + -2 + sqrt(605) - sqrt(605))))**2*2.\nAnswer: -336*sqrt(5) + 4442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.17 + 3.87. Let r = -15.7 + t. Does r = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24508 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -57*g**2 - 7*g - 8. Let y(s) = 113*s**2 + 18*s + 20. What is -5*c(w) - 2*y(w)?\nAnswer: 59*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 458851500 to the nearest one million.\nAnswer: 459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176660 and 79860.\nAnswer: 5829780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 959724.9 decades in years?\nAnswer: 9597249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 96 - 114. Let q(g) = 4*g**2 + 4*g + 3. What is the remainder when q(-3) is divided by (-11)\/u - 3\/((-18)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28707, -29201, -29695?\nAnswer: -30189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94482 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.14 + -2.84. Let k = 39.3 - v. Sort 3\/4, k, -1, -2 in increasing order.\nAnswer: -2, -1, 3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3507 (base 12) to base 4\nAnswer: 1130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.059+3560707920\nAnswer: 3560707919.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2\/6 + 1496*q - 8973\/2 = 0.\nAnswer: 3, 8973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyymycm. What is prob of sequence ycy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11965 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: What is prob of sequence orm when three letters picked without replacement from popaorpppapooom?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*f**(-8))*f)\/f))\/(f*f*f**(-1\/6))*(f**17\/f)\/f**21)**(3\/8) assuming f is positive.\nAnswer: f**(-83\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from yddyddddddddd.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1443 + -707. Let g = -3632\/5 + r. Calculate the common denominator of g and -57\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274 + 277. Solve -p*u - 9 = 0, -2*k + 0*u = 2*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(200) - (-2*sqrt(200))**2) - (0 + -2*sqrt(200))**2) + 5*(sqrt(2) + -1 + sqrt(2)) + (sqrt(12)\/(sqrt(6)*-2 + sqrt(6)))**2.\nAnswer: -1601 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - d + 10 = -3*x, x - 3*d - 10 = 0. Let p = -0.6 - 0.4. Let f = p - -0.7. What is the nearest to -0.1 in x, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 22, 67, 164, 331, 586, 947, 1432?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22 + 4)*1\/1. Suppose -22 = 4*j - c, 4*c - q = 5*j + 2*c. Let g(k) = k + 11. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + -2*sqrt(98) + sqrt(98) + 3 - (6*6*(sqrt(98) + 2 + sqrt(98) + sqrt(98))*5)**2.\nAnswer: -28706394 - 2721607*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(117) - sqrt(117))\/(3*sqrt(441) - sqrt(441)) - -3*(sqrt(312)\/(2*sqrt(12)))\/(4*(sqrt(2) - sqrt(18))).\nAnswer: -109*sqrt(13)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 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: Differentiate -2*k**2*r + 26*k**2 + 3*k + 5368*r with respect to k.\nAnswer: -4*k*r + 52*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 + -265639?\nAnswer: -265576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -106. Suppose 0 = 3*y + 5*a + x, -2*y - 5*a = 3*y + 10. Which is greater: -5\/8 or y?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12670 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42384 - 70384. What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -34 - -28) + -48 + 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16646448 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 1317857?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + -5 + (48 - 30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-12 + -1 - -6 - (2 - 3) - 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11000110001001111100111110?\nAnswer: 11000110001001111101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - d + 2. Let r(x) = -3*x**2 - 2*x + 1. Let w(z) = -4*l(z) + 5*r(z). Suppose w(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423487\/20 + -21170. Find the common denominator of v and 49\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 6*b - 8. Let y be f(-3). Calculate the common denominator of y*((-95)\/30 + 2) and -55\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c + 1140. Let x = c + 505. Suppose 3*l = 4*q - x, 131 = 5*q + l - 125. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 374432, 376937, 379442, 381947?\n\"Answer: 2505*z + 371927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 149 + 127 = -4*t, 5*i - t = -15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/345)\/((-2)\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-16) - (960\/30 - 39))*(-2)\/(-13)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - h + 4*h - 5*h - h**2 + 7*h.\nAnswer: -4*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196 + 280. Suppose 2*c = -c + g. Let o = 46 - c. What is the smallest common multiple of o and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 2.04, -1\/4, -5, 0.0452?\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2475.3 to the nearest ten.\nAnswer: -2480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*d = -c + 10, -5*d - 10 = 3*c. Suppose c = k + 2*k. Solve -17 = -r + 5*z, 0 = 3*z - k*z + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13008 - -13386. Calculate the greatest common factor of v and 6258.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from awwbwwwpwpwwvbwwwaj.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 91224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 2 + 381*s**3 - s**2 + 1 - 379*s**3 - s**4 in the form q*s**4 + u*s + z + p*s**2 + t*s**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79 and 42739?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4194 - 5a?\nAnswer: 4136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*i + 12*i**4 + i**2 + 108*i - 14*i**4 + 2*i**3 in the form g*i**3 + o + h*i + m*i**2 + s*i**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 297183 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -194*x**3 + x**2 - 2*x + 2. Let j be l(1). Let r = -194 - j. Suppose v = 2*v - 3, 72 = 3*p - 2*v. Sort 3, p, r in descending order.\nAnswer: p, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 6. Let j be 3 + (-3 + m)*-1. Let w(s) = s**2 + s. Calculate w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**3 + 9*k**2 + k - 1. Let u(z) = -15*z**3 + 19*z**2 + 2*z - 2. Let l(v) = -6*u(v) + 13*x(v). What is the units digit of l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84187 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 49*s**2 + 36*s - 128. What is y(50)?\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 7. Let u be b(5). Let z be 930\/5157 - u\/(-9). Let w = z + -2061\/955. Which is bigger: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z + 1. Let m(i) = -21*i - 4. Calculate 2*m(w) + 9*q(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 13 = -0*l + 3*j, -2*j + 16 = 5*l. Let a = 51 - 30. What is the third derivative of 7*n**l - 25*n**6 + 19*n**6 - a*n**6 wrt n?\nAnswer: -3240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 4 + 3 + 0 + 179827. Round m to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 4*c + 3*c + (0 - 2 - 9)*(8*c - 40 + 40) + (-3 - 2 + 7)*(c - 3*c + c) to g + d*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(117)*-3 - sqrt(117)) + -1*sqrt(117)*2)\/((sqrt(144) + sqrt(9))*-1 + (sqrt(54) - sqrt(432)\/sqrt(8))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 11\/3, 4, -0.02, 3\/4, -18?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (1 + 11) - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8))**(-26) assuming o is positive.\nAnswer: o**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:56 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/110955 and -92\/273.\nAnswer: 776685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**8\/112 + p**6\/12 - p**5\/60 - 175*p**4\/6 - 2*p**2 - p + 84. Find the second derivative of u(g) wrt g.\nAnswer: -60*g**3 + 60*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -20.7, -5, -526?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2291*r + 691906. Calculate u(302).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 - 1420*y**3 - 119855*y**2 - 2579220*y - 2460780 = 0. Calculate y.\nAnswer: -126, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 + -371. Let p = 204 + j. Which is the closest to 0.1? (a) 4\/5 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -13. Let r = -14 + k. Let s = -0.184 + 5.184. Which is the third smallest value? (a) r (b) s (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3654, 0, 2\/3, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**7\/735 + h**5\/70 - h**4\/42 - 5*h**2\/2 - 2. Let j(u) be the second derivative of w(u). Factor j(m).\nAnswer: -2*m*(m - 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -60560 divided by 30280?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (6\/(-3) - -5). Let m(b) = b - 2. Let n be m(r). Suppose -3*j = n*c - 24, 5*c = 2*j + j + 8. Solve h - c = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2299 + -2239. What is the highest common divisor of q and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -3187720.\nAnswer: -3187725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 281398164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37\/((-25641)\/22) - (-978)\/(-4914)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -171 - ((-5)\/1 + 4). Let f = 295 + b. Calculate the remainder when f is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = -22*z + 19144. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10 - 37 = 0. Let l(w) = 3 - b - 64*w + 61*w. Let t(d) = d. Determine l(t(r)).\nAnswer: -3*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 4 - 2) + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0128344 and -20\/79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/160 and 91\/510?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2713238.\nAnswer: 2, 11, 19, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 77082.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 162. What is the remainder when 176 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -44*p - 520. Let x be q(-12). Let l(z) = 10*z**3 - 10*z. Let w(h) = h**3 - h. Determine x*w(t) - l(t).\nAnswer: -2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125432\/(-188148)*(15\/(-18))\/(2\/(-90)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:49 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3\/5 - 1011*j**2\/5 + 85653*j\/5 - 16929 = 0. What is j?\nAnswer: 1, 165, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82544 divided by -10318.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 3*o + 113 - o**2 + 6*o. Let n be (-1 + 1)*-1*1. Is p(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t + 9. Sort t, -4, 1 in decreasing order.\nAnswer: 1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/7855 + 2483752\/7855. Let s = b - 315. Factor -s*d - 4\/5 - 2\/5*d**2.\nAnswer: -2*(d + 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367221.\nAnswer: 3, 109, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 209\/15916, 0.1, 1\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50028, 100010, 149992, 199974, 249956?\nAnswer: 299938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 198*p**2 - 434*p - 6810. Determine k(-200).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -417359, -834722, -1252085, -1669448, -2086811?\n\"Answer: -417363*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 8\/(16\/9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -141.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5530353*v - 5530353*v - 82*v**3 + 481 - 481.\nAnswer: -82*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176521 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1696 + 1721. Let h = -8 + 13. Calculate the remainder when n is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -31 + 11 + (2 - 2) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 5*x**2 + 4*x - 1. Let n(t) be the third derivative of -t**6\/30 + t**5\/60 + t**4\/24 + 2*t**2. Let c be n(-1). Give q(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.40702 - 95159.59298. Let v = 95159.54937 + z. Let c = v - -1.45. What is c rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 - 2*q**4 + 2*q**4)*(7 - 123*q + 5 + 114*q).\nAnswer: 36*q**5 - 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29205 + 50384. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*270\/(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15712*j - 3503784. Determine q(-223).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79.4 and -1921775?\nAnswer: 152588935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 820037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7325.09 millimeters?\nAnswer: 7.32509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 34660*b - 1279682.\nAnswer: -2*(b - 17293)*(b - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674*n - 642*n - 343008 = 0. Is n a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*p = -272, -s + 82*p - 85*p + 68 = 0. Let u(l) = 25*l + 2. Let m be u(4). Calculate the highest common factor of m and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-32 + (-3 - 11))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 12. Calculate the remainder when 92 is divided by (-498)\/(-30) + s\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372540526?\nAnswer: 2, 3079, 60497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 + 0.31. Which is the closest to u? (a) 3 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - l - l + 2*l + 0*l - 3*l + 4*l - 5*l - 2*l + (2*l - l + l)*(-1 - 2 + 2) - 15*l + 30*l + 18*l as z + m*l and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n - 11 = -3*u, u + 3*n + 11 = 0. Find the common denominator of u\/(-3) - 169\/(-21) and -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -7.7. Let i = -10.3 + x. What is the biggest value in i, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -11 + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 11*r**4 + 13*r**4 - 2 - 2*r**3 - 2*r + 2*r to g*r**3 + p + b*r**2 + d*r**4 + c*r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 5:26 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*a + 311 = 0, 2*a = 2*x - 3*a - 153. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 352917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - sqrt(153)*1) + sqrt(153))*6)\/((sqrt(108)*-1)\/sqrt(12)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -63. Let g be 2 - (0 + 6\/(-3)). Suppose j = 5*k + a, -3*k + 11 = -g*a - 26. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -5376248.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.153 and 0.06?\nAnswer: 0.00918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.4 (c) -7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2842 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 c when four letters picked without replacement from xxlcxcccxxcxxxxxccx.\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8429941 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1\/71 (b) -360 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 10*x - 29. Suppose -2*v + 5*v - 3*d - 66 = 0, -22 = -v + 3*d. Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0*u - u - 5)*((-7*u + 3*u + 3*u)*(0 + 2*u + 0) + 2*u**2 + u**2 - 4*u**2).\nAnswer: 3*u**3 + 39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 129?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13188*v + 131950. What is z(-10)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-1)*5\/(200\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-21)\/(-357)*(-2 - -55)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (4 - (-75)\/(-6))*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (22 - 11 - 7) + -8 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -37 + 6 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**3 - 60*g**2 + 132*g - 96.\nAnswer: 3*(g - 2)**2*(3*g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 + 0.04. Let k = -0.045 + 0.045. Which is the third smallest value? (a) 2\/21 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 48\/5*f**4 - 64\/5*f + 6 - 42*f**2 - 68\/5*f**3 = 0?\nAnswer: -1, -5\/6, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*g + 3. Suppose -w - 2*j = -165, -6 = -5*j + g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 255c?\nAnswer: 253b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 21 = -129. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 907, 1949, 3117, 4411?\n\"Answer: 63*f**2 + 853*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -96*((-12)\/(-27))\/((-12)\/(-9))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1695932, 3391882, 5087832, 6783782?\nAnswer: 8479732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3947 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -646 (base 10) in base 11?\nAnswer: -538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -0.08.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(5)) + -1)**2 + -1.\nAnswer: -14*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3330874 is divided by 602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-12)*3*5. What is the nearest to 13 in o, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:08 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 2*i + 18. Determine d(-12).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6315*i + 25255. Determine a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l + 4*m + 4, -10 = -5*l - 5*m. Suppose -l*c - f = -3*f - 20, 4*f - 20 = -2*c. Calculate the remainder when 22 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 423 (base 10) to base 6\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/3, 5.14, 2\/29, 3571?\nAnswer: 5.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320 + -167. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739 = -5*s - 127*y - 252, 7*s - 834*y + 836*y = 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilaiclijijjalllijjf. What is prob of sequence ji?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n**4 - 14592*n**3 - 2803644*n**2\/5 - 4345952*n\/5 - 1719744\/5 = 0.\nAnswer: -689, -39, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (552\/(-96))\/((-69)\/(-276)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 4, n: 2, y: 1, q: 1}. Give prob of picking 3 d and 1 q.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 763073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6967524 micrograms?\nAnswer: 0.0000000000006967524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1009 + 2774*x + 1014 - 1111*x - 2023 to y + m*x and give m.\nAnswer: 1663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-20)*(-1184)\/224 + 15.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7\/c)\/(c*c*(c\/c**(3\/7))\/c))\/((c*(c*c*c\/c**1*c)\/c)\/c**(-1\/5)) assuming c is positive.\nAnswer: c**(43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*j - 140220 - 428460, -2*j - 5*q = -284328. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 - 19*d + 24. Suppose 12*c - 84 = -0*c. Let a be j(c). Which is bigger: a or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23526 = -50*s + 22026 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433235597.\nAnswer: 3, 2953, 161783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 146984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/5, -2, -4, -1\/12, 2\/3, -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9417, 9429, 9455, 9501, 9573, 9677, 9819, 10005?\nAnswer: 10241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17091 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 6. Let v = 50 - -127. Let l = 182 - v. Calculate r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + f + 22. What is j(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8834 divided by 7\nAnswer: -1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - -35011?\nAnswer: 35104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 8. Let o be b(3). Solve -o*j = -3*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 678*o + 27963.\nAnswer: -(o - 717)*(o + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*1)\/(sqrt(80)*-5 + sqrt(5)).\nAnswer: -2*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -125. Let s(z) = z**3 - 10*z**2 - z + 12. Let h be s(10). Calculate the highest common divisor of a and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3092115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3260851 - 133?\nAnswer: -3261084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 5013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2264 and 267.4.\nAnswer: 327.93936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) -18.6833 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(4\/(140\/(-75)))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3619152 to the power of 1\/2, to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((8 + -2)\/2)\/((-12)\/(-28)). Let q = 3 + -5. Let w be (1\/q)\/(1\/(-20)). Solve u*t + w = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/60 + 5*r**4\/24 - 4*r**2. Let z be b(5). Suppose 0 = -z*k + k - 28. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10541432.\nAnswer: 2, 11, 103, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 450 = 7*y. What is y rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -70. Let r = 55 - 39. Let i = j - r. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 754590259 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 - 3. Let f(s) = -11*s - 131. Let v be f(-12). Put v, i, -3\/2 in ascending order.\nAnswer: -3\/2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3 (c) 0.3 (d) 2.83 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 12 = 22*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55 (b) -2\/7 (c) -1\/7 (d) 1742 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 1, -7, -21, -41, -67?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1839 and -119\/96.\nAnswer: 58848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j*j\/(j*j\/j**(-10)*j)*j*j)\/j*j*j))\/j)\/j*j**(-5))**(-14)\/((j**(1\/4)*j*j**(-5))\/(j**1)**(-1\/4)) assuming j is positive.\nAnswer: j**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.22 (b) 1\/226 (c) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 3*b - 40. Let l be x(0). Let h = l - -44. Suppose h + 10 = 5*n + 2*m, 0 = n + 5*m - 12. What is the closest to -1\/3 in n, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8293, 8292, 8291, 8290, 8289?\n\"Answer: -k + 8294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x. Let m = 41 + -42. What is the nearest to x in m, -5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 14*a**2 - 12*a + 17. Let x be z(-13). Suppose -3*v + v + x = 0. Solve 0 = v*l - 7*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.9 + 6.72. Let n = 265 - 249.9. Let i = 15 - n. Is q equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536107 - -0.28?\nAnswer: 2536107.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. Let u = -3 - d. Let r = 17 + u. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*i**5\/7 - 10652*i**4\/7 - 1298722*i**3\/7 - 6073792*i**2 - 408220296*i\/7 + 129669408\/7 = 0. Calculate i.\nAnswer: -183, -22, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453480178 to the power of 1\/3, to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -167118*h + 1012. Let r(b) = 3979*b - 24. Calculate 6*n(i) + 253*r(i).\nAnswer: 3979*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -11*u + 233. What is the third derivative of 16 - u + 199*z**2 + 2*z**6 - 22*z**3 + 16 + 4*z**3 wrt z?\nAnswer: 240*z**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 2. Let v be h(4). Let w = 18 + v. Calculate the remainder when 52 is divided by (-2)\/(-6) + (w - (-128)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -2011?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193.7902 + -0.7902. What is the nearest to 2\/3 in 2, 0.3, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 146. Let r be (-298)\/10 + (-9)\/45. Let h be ((-2)\/3)\/(2\/r). What is the highest common divisor of k and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/90 - 1001\/195?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12267875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (4 - 2 - -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6795921 to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/80)\/(32\/(-40))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - k**4 + 3*k**4 + k**4 - 5*k**4 - 8678*k**2 - 92*k**4 + 8678*k**2 + 4*k**4 + 2*k**4 - 4*k**4 + (2*k**4 + k**4 - 5*k**4)*(-4 + 0 + 2).\nAnswer: -88*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -2.15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5 - 30*p - 5 - 25*p + 54*p. Let z(c) be the third derivative of 2*c**5\/15 + c**4\/12 - 10*c**2. Give a(z(w)).\nAnswer: -8*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4*(-4)\/15. Let i = -5 + 8. What is the closest to r in 1\/3, -4, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 14. Let d(j) = -85*j - 1. What is d(z(s))?\nAnswer: -255*s - 1191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 20 = -4*n + 6*x, 0 = -3*n + x - 9. Let j(c) = c**3 + 3*c**2 - 2*c. Let u be j(n). Suppose -u + 2 = -2*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -550 < -535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17082097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 624*i - 17. Suppose 3*l + w - 37 = 0, -4*l + 2*w = 3*w - 48. Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i - 1. Let z(a) = a. Let v(c) = -t(c) + 2*z(c). Let j be v(3). List the prime factors of 2\/(-7) - 270\/j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2861*p + 3088*p + 2043 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 16 = 0. Suppose 14 = 4*q - 2*t, -s*t + t = q. Let a = q - 1. Solve -v = a*d - 1, -4*d - 26 = -d - 4*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 3122717?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -200*a + 61*a - 4*a**2 + 67*a + 63*a + 5*a**2 + 11. Determine k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -18087458793?\nAnswer: 18087458793.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 12 = -0*y - 2*y, 0 = -2*y + 2*x + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17485, -17539, -17621, -17725, -17845, -17975, -18109, -18241?\nAnswer: -18365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7274248 divided by 1.\nAnswer: 7274248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + (4 - 51 - -19) + 17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 273 = 3*x, -t + 2*t - 255 = 3*x. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18196*f**2 + 9102*f**2 + 9094*f**2 + 67*f**3.\nAnswer: 67*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:30 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4427296 and -27\/124964.\nAnswer: 30991072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8805*f*h**2 - 2618*f - 88*h**2 + 480871 wrt f?\nAnswer: -8805*h**2 - 2618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from jfwjffjfbzjfww.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + g - 2955. Let a(d) = -13*d**2. Give s(a(k)).\nAnswer: -169*k**4 - 13*k**2 - 2955","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*4\/(-6). Suppose -s = -5*s - 20, 5*f + 4*s = 100. Suppose -34 = 5*i - 3*t - 6, t + f = -5*i. Which is the nearest to r? (a) 0 (b) i (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 519 divided by 732.\nAnswer: 173\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -3\/5, 4\/7, 419, -2.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from ooooovovvvooovoobv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - 553*i**2 - 5655*i + 1766. What is u(120)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345 - 342. Solve -5*g - 23 + k = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-138)\/7 + (-6)\/21. Let a be u\/6 - 4\/6. What is the tens digit of 7 + a + 18*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344*f**4 - 13794*f**3 - 4334159*f**2?\nAnswer: -8256*f - 82764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 44 + 39 + 4*k + 5*k**2 - 84. Let f(b) = 4*b**2 + 3*b. Calculate -3*f(t) + 2*u(t).\nAnswer: -2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 5*m**2 + 4*m + 4. Let k be s(4). Suppose k*l - 3 = 1. What is the units digit of (-2)\/(-4)*l*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*1)\/(2\/11). Let b = l + 15. Solve -b*w - 4 = 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a12aa89 - 0?\nAnswer: -a12aa89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) -4\/3 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46835\/81513 + -3\/6038. What is the common denominator of u and ((-2)\/40)\/((-1)\/42)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-42) - (-6)\/14. Suppose 0 = -p*t - 4*t + 60. Solve 8*y + t = 3*y, 3*i + 4*y = -24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-3604)\/(-85) - 6\/(-10). Let z = -6 - -14. Let r be ((-5)\/(x\/(-6)))\/(z\/(-6)). Is r at least -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.45 and -185.528.\nAnswer: -83.4876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -k + 18. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeulhb. What is prob of picking 1 u and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34578808 times 0.2?\nAnswer: 6915761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110029 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (46 - (-78 + 133)) + 117\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*y**2 + 584344*y - 584344*y + 22 - y**3 + (-2*y + 0*y + 4*y)*(2*y**2 + 0*y**2 + 0*y**2) to j + o*y + b*y**2 + h*y**3 and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 13 = -27. Let q = -20 + d. What is the closest to q in 1\/2, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 48*t + 400. What is the remainder when z(41) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12359580071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5690849 and -0.4?\nAnswer: 5690848.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/32)\/((-7)\/8 - -1). Suppose 41 = 2*z - 43. Suppose a*x + i - z = 2*i, -2 = -x - 4*i. Solve 5*g = 10 + x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.28761 from -5.\nAnswer: -5.28761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:27 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48, 48, 46, 42, 36?\n\"Answer: -t**2 + 3*t + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57305.\nAnswer: 5, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 9*h - 16*h)*(-185 + 146 + 162) in the form f + q*h and give q.\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 7*q**6\/30 - q**5\/5 - 13*q**4\/12 - 2*q**2 - 188*q. Find the third derivative of c(l) wrt l.\nAnswer: 168*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 28 = 28. Calculate the remainder when 40 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28282377 take away -199.075?\nAnswer: -28282177.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126727.\nAnswer: 353, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254390 rounded to the nearest ten thousand?\nAnswer: 4250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:38 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:40 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49017?\nAnswer: 3, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6416 (base 9) in base 8?\nAnswer: -11151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810465?\nAnswer: 5, 362093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 3. Let s(p) = -1. Let l = 6 - 2. Let c = 8 - l. Let x(z) = c*s(z) + y(z). What is the derivative of x(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3885, -2560, -1235, 90, 1415, 2740?\n\"Answer: 1325*w - 5210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (254\/(-381))\/((-7)\/(-12)*-2)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 13. Let m = 10 - c. Let a = 335\/4 + -83. What is the nearest to a in 4, 4\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/3 - 5*i**2\/2 + 6*i - 8. Give b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -701*r + 66581. Give o(95).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1510\/(-104))\/(-5) - 1506\/9789\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 144, 530, 1182, 2106, 3308, 4794, 6570?\n\"Answer: y**3 + 127*y**2 - 2*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-2)\/5)*-5. Factor 0*d**2 - 3*d - 6*d**2 + f*d**2.\nAnswer: -3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 138699031 and 0.01.\nAnswer: 1386990.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37394586 to the power of 1\/2, to the nearest integer?\nAnswer: 6115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 10 = j, -5*j - m = 4*m. Suppose -5*f = 2*i - 172, 2*f = 5*f + j*i - 104. What is the remainder when f is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1\/2) - -1. Let n(h) be the third derivative of h**5\/12 + h**3\/6 + 65*h**2 + 3. What is n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + 6*(5 + -4*(-3*sqrt(162)*-5 + sqrt(162) + sqrt(162))) + 3))**2.\nAnswer: -2379456*sqrt(2) + 242716176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 84 = 23*f. Solve 0 = -b - x - f, 4*x = 3*b + x + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7)*q\/(q*q**(4\/9)*q))**11 assuming q is positive.\nAnswer: q**(-1397\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (5*(sqrt(700) + sqrt(700)*-2 - sqrt(700)) - (sqrt(700) - (0 + sqrt(700) + 5))) + 4)**2.\nAnswer: -1800*sqrt(7) + 70081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1809 - 10853\/6. Let u(n) be the second derivative of -5*n + 5*n**2 + 0 - t*n**3. Differentiate u(w) with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214618*r**2 + 174719*r**2 - 389340*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7705.\nAnswer: 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(24) - (sqrt(864) - sqrt(24)))*-5)\/sqrt(12) + sqrt(4)\/(-2*sqrt(162)))*-5)**2.\nAnswer: 3222025\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-99) + (-18)\/(-22). Suppose 3*y - 3*i - 16 = -1, 5*i + 25 = -y. Let d be y\/((2 + 0)\/q). Solve d = 3*c - 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**2 + 26*z. Let x(p) = 3*p**2 - 9*p. Let s(o) = 6*t(o) + 17*x(o). What is the second derivative of s(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/14)*y*y*y*y\/(y\/y**(-14))*y*y)\/((y\/(y**(-7)\/y))\/(y**(-2\/37)\/y)))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 - -2.29. Let h = 0.16 + 2.84. Let z = k - h. Round z to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281205 is divided by 4077.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 594*l**2 - 8 - 2 - 11 + 27*l.\nAnswer: 594*l**2 + 27*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4554 = -122*w + 359 - 1741 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20 + 127*x**5 + 8 - 3*x + x + 6 + 8 wrt x.\nAnswer: 2540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-212.9.\nAnswer: 21.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7606 is divided by 760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -57. Does 8 divide (f + -1)*(-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.633712 grams to milligrams.\nAnswer: 633.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20689*g**4 + 13352*g**2 wrt g?\nAnswer: 496536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 73 * 0.2\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 0*r**3 + 1\/165*r**6 - 1\/231*r**7 - 1\/66*r**4 + 1\/110*r**5 + 0 + 0*r**2 + 2*r. Factor o(j).\nAnswer: -2*j**2*(j - 1)**2*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -390b - -3?\nAnswer: -3908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2552, -2556, -2570, -2600, -2652?\n\"Answer: -f**3 + f**2 - 2552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2181 - 2760*y - 4368 + 2187 to the form o*y + n and give o.\nAnswer: -2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.317 * 1179954\nAnswer: 1553999.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*j + j + 6, 0 = -4*j + 3*k + 12. Let t = 5 + -3. Calculate the remainder when j is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1948709739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/3 - 160*o**4\/3 + 11314*o**3 + 1872100*o**2\/3 + 23870000*o\/3 = 0.\nAnswer: -154, -25, 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((3 + -1*(1 + sqrt(475)))**2 - 2*(-5 + sqrt(76)\/(sqrt(16)\/sqrt(4)))).\nAnswer: -22*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/120 - o**4\/12 + o**3\/6 + o**2. Let t be m(2). Calculate the remainder when 20 is divided by t\/(20\/(-4)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f - 2*t - 28, -4*f = 2*t + 106. Let l be (f + 6)\/(4\/(-2)). Solve d + d - l = 0, 5*p + 25 = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -463 divided by 1162780\nAnswer: -463\/1162780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 35 = 3*q, -g - g = 4*q - 30. Suppose -2*a - 334 = -s, 2*s = -s - q*a + 1002. Is s*10*(-2)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6809756 divided by 1877.\nAnswer: -3628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**18\/g)*g)\/g**(-18) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0221868, -4, -1\/9, 0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6 and 71\/354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = -8, -4*o - 41 = -5*g. Calculate the smallest common multiple of 6\/g*70\/7 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 391*i**2 - 1161*i**3 + 1 + 3504*i**3.\nAnswer: 2343*i**3 + 391*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -20428155.\nAnswer: -1021407.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*s**3 + 2\/5*s**4 - 6\/5*s**2 + 4\/5*s = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 5. Let d be g(-10). Let w = d - -4. Is 29*((-2 - w) + 2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3106*j + 3120*j - 350 = 0. Solve 28*q = -5*f + 23*q - 55, -5*f - j = -q for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 25. Suppose -3 - 10 = -v - f, 53 = p*v - f. Suppose 282 = -v*g + 13*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -59513758?\nAnswer: -25\/59513758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + -4 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/68656 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, o: 5, k: 4}. Give prob of picking 1 k and 2 o.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:19 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3103.79 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(432))\/(sqrt(18)\/(2*sqrt(486))).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 - 13*v**3 + 2*v**3 - 21*v**3 - 14*v**3.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(405) + 2*sqrt(405) + sqrt(405) + sqrt(45)*3*-1)\/(-5*(sqrt(9) - -1*sqrt(81))*3))**2.\nAnswer: 409\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.95 + -5. Let u = i - 3.95. Let v = 1 - u. What is the third biggest value in -1, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p + 0*p)*(-38*p - 22*p + 11*p)*(3 - 9 - 2) - 3*p**2 + 6*p**2 - p**2.\nAnswer: 786*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + (-5 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 2*l. Let u(x) = -5*x**2 + 14*x + 78. Let s(c) = -6*i(c) - u(c). Calculate the remainder when 54 is divided by s(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62, -18, -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1259, 1277, 1315, 1379, 1475?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 + i**4 + 2*i**4)*(6*i - 5*i + i).\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(18\/132)\/((-45)\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 1, r: 1, m: 2, o: 1}. Give prob of sequence ar.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9\/15)\/((-3411)\/(-5685))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 2. Let l = 8 - 4. Suppose -2 - l = 3*m. Determine r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 0, -42 in increasing order.\nAnswer: -42, -6, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**2\/f)**(-27))**(10\/3))**(-7\/6))**(2\/41) assuming f is positive.\nAnswer: f**(210\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 0 + 2\/5*k + 2\/5*k**3 - 4\/5*k**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1732, 3\/7 in descending order.\nAnswer: 1732, 3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 173*y**2 + 167*y**2 + 429*y - 435*y.\nAnswer: 340*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/5 + 16246620*t - 164970413390250 = 0. Calculate t.\nAnswer: 20308275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*3*4*sqrt(272)*3*-5*-2.\nAnswer: -3 + 8640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/960 and -13\/384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 179, 1\/4, -4.\nAnswer: -4, -1, 1\/4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6600 + -6573. Calculate the greatest common factor of 213 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 31*s + 10. Let i be t(11). Let p = -166 - i. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -11, -5 in descending order.\nAnswer: 2, -5, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 1174.\nAnswer: 9\/1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8) + (-85)\/(-20). Suppose 3*z - 16 = p. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5787830*d + 5787780*d = -1250 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f + 1. Suppose 0 = -3*i - 9, -4 = 2*o + 2*i + 2. Suppose -2*s - 4*c + 8 = o, -s - 3*c + 5 = -0*s. What is the remainder when s is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 24*n**7\/7 - 17*n**3\/3 + 34. Find the third derivative of l(w) wrt w.\nAnswer: 2880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, -13 in increasing order.\nAnswer: -13, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, 2\/47, -10\/11, -5?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let d(j) = -36*j. Determine d(n(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2047, -2, -3 in descending order.\nAnswer: -2, -3, -2047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6573a98 - 14?\nAnswer: 6573a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:48 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 0.02. Let v = 13\/30 + 9\/10. Put x, 0.1, v in decreasing order.\nAnswer: v, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5869 is divided by 5010?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlclcddcdc. What is prob of picking 1 l and 1 c?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m - 3. Let y be x(-3). Suppose 4*v - 14 = j - 3*j, -5*j = y*v - 7. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 1\/7*i**3 + 1\/7*i**2 + 0.\nAnswer: i**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**3\/6 + 4*r**2 - 4*r. Let f be b(-7). Let h be (-20)\/8*(f + 1). Let w(j) = -j**3 - 5*j**2 + 2. Calculate w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 16, h: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432652 is divided by 294.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let x = 6.3 + -6. Which is the nearest to 0.3? (a) x (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87.6 and 427.371.\nAnswer: -37437.6996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:55 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -75. Which is bigger: m or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 + 3 = 0. Let h be 0*(3\/1)\/a. Solve h = 4*r - 8, -r + 12 = 3*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/7 + 12\/21. Solve c = -3*d - d - 2*q - 18, 5*d - q = -26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 99695.\nAnswer: -1\/19939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 + (835\/(-1200) - (-1)\/16).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/3 - 3*m**3\/2 - 7*m**2\/2 + 22*m. What is the tens digit of w(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1) - (-252)\/(-119)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -179, -180?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 402425589 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 15}. Give prob of sequence ccc.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Suppose -34 = -q*f - 2*p, 2*f - p - 39 = -3*f. Suppose j + 2*j - 50 = -2*i, -2*j = -f. Calculate the remainder when 56 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 27 + 41 - 23365*z.\nAnswer: -23365*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c + 10. Determine m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 - -1020?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -678*u**2 - 850*u?\nAnswer: -1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7612524.\nAnswer: 2, 3, 103, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 - -135.8. Let q = 28 + w. Let g = -4 - -1. Which is the closest to 1? (a) g (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4 - 1 + 7*m + 3. Let b(c) = -6*c + 2. What is -6*b(u) - 5*q(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, 2, -8, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 69*m**2 - 2*m + 66. Let g be q(23). Solve -5*w + g = 5*h - 10*h, -w + 14 = -3*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163888 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329661?\nAnswer: 3, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668 = 21*c + 80. Let x be -3 - (-2 + 4 + c\/(-4)). Solve -x = -11*p + 10*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35149657*d**4 - 98393263*d.\nAnswer: 421795884*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, 1, 6 in descending order.\nAnswer: 6, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29.7984 weeks?\nAnswer: 18022072320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 10*q - 5. Let r be k(-9). Suppose 7 = -r*a + 3*z, -a + 2*a = z - 3. Factor -3*d**2 - 6 + 0*d**2 - 3*d - 6*d + 0*d**a.\nAnswer: -3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 206, 209, 212?\n\"Answer: 3*o + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44\/3, -20, 23?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) 0 (d) -3 (e) -2229 (f) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-576*t + 348*t + 295*t)*(-2 + 1 + 3 + 12) + 2*t + 2*t - 6*t + 0 + 2*t + 0 + (t - 2*t - t)*(6 - 3 - 4).\nAnswer: 940*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 28208?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2\/155 (c) -0.09 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824\/(-10854)*(-18)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781835*a**3 + 391351*a**3 + 390476*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 35.99.\nAnswer: 36.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 937*z + 5871. Calculate m(-6).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -476.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 23 = 2*y, -2*v = -7*v + 25. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*y + 25 = -4*o, -2*y + 23 = -3*o. Let j = 11 - o. Let t be (6\/j)\/((-1)\/(-48)). Solve -3*d = 5*q, -3*d = 2*d + 3*q + t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253507097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-26)\/22 - 41562\/99. Let d be 2\/(-10) - 189\/h. Factor -5\/4*o**2 - 3\/4*o + 0 - d*o**3 + 1\/4*o**4.\nAnswer: o*(o - 3)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 18*w + 9. Is g(9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 o when three letters picked without replacement from oksossolsojo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v + 151. Let b be n(22). Suppose -b - 972 = -3*q. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqxqddnxdiiiiind. Give prob of sequence qiix.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*d**2 - 675*d**2 - 576*d**2 + 1809*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*j**2 + 15*j + 113*j**2 + 5*j as x*j + o + d*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 3*j**3 - j**3 + (j - j - 5*j)*(j**2 + 1 - 1) + 77*j - 16*j**3 - 77*j to the form p*j**2 + n + v*j + a*j**3 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1934 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k + 1. Let v(b) = -5*b**2 + b + 12. Let d(m) = -6*s(m) + v(m). What is the units digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/37 (b) -2\/9 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-119 + 159 - 338)*(0*p - 4*p + 2*p)*(-2 + 1 + 4) as f + o*p and give o.\nAnswer: 1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*t**2 + 100*t**2 + 44 - 11 - 14 - 19.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by (-6)\/((-1)\/(-16)*-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s + 5 - 51*s - 5.\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -189*a. Let l(c) = 2*c. Let d(o) = -o**2 - 6*o + 2. Let m be d(-6). Let g(n) = m*k(n) + 198*l(n). Let v(j) = 3*j. Determine v(g(x)).\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12485916?\nAnswer: 2, 3, 346831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8239.\nAnswer: 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 6*f - l - 9, -6 = 2*f + l. Is -2 + ((-3)\/f - -2472) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 - 2*g - 4. Suppose w = 4*w. Suppose w = 4*x + 40. Let i be (-44)\/x - (-18)\/(-45). Let o(q) = 11*q**3 - 4*q - 7. Calculate i*o(m) - 7*p(m).\nAnswer: 2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10856.94 litres in millilitres?\nAnswer: 10856940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6390 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-268 + 119*d + 268) to j*d + p and give j.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30379599.08 rounded to the nearest one thousand?\nAnswer: -30380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 82*j + 1. Let t(h) = -165*h - 3. Let y(n) = -11*a(n) - 6*t(n). Is y(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**3 - 20*b**2 - 81*b. Let w be v(9). Solve -2*q - z + 4 = 1, q = 2*z + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 6:59 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/14*(60 + -62). Put -0.2, 0.04, 0.2, n in descending order.\nAnswer: 0.2, 0.04, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-128)\/(-40))\/4)\/(2\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16295, 16225, 16157, 16091, 16027, 15965, 15905?\nAnswer: 15847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -82.813 + 83. Let h = o + -0.186877. Round h to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204)*-6*3 - (sqrt(204) - -1*sqrt(204))*6)\/(sqrt(84)\/(sqrt(448) + sqrt(448)*2)*5).\nAnswer: -696*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**20 assuming n is positive.\nAnswer: n**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1116, -1782, -2448?\nAnswer: -3114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3 + 8*b**2 + 4 - 7. Let v(l) = 115*l**2 - 58*l**2 - 61*l**2. Give v(i(r)).\nAnswer: -256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + (-4 - -3) + -3. Solve -5*k = -y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -407*n + 204*n - 178*n to the form t*n + i and give t.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8566*n + 25677. Calculate i(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -93b9b6?\nAnswer: 93b9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -330 + -13678293?\nAnswer: -13678623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/3)\/p**(-3\/22) assuming p is positive.\nAnswer: p**(-13\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533885 divided by 511295?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab790 (base 16) to base 14.\nAnswer: -338144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rroozozozzxxrrrzzr. Give prob of sequence or.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(8\/1))\/(-1). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114759873 and 522.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 59 = -21. Suppose -5*g + x = -0*g. Suppose -y - g*z = -2*y + 27, -z = 5*y - 30. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79523471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 1. Let s(r) = r**2 + r - 1. Let j be s(0). Let n be a(j). Suppose v**4 - n - 4*v**4 + 6 = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*g - 18165 + 1474, -2*k - 5*g = -11089. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:34 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(14*q + 42*q - 18*q) + 2*q - 4*q - 18*q.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.51 + 1.49. Let s = -1 + 5. Suppose 4*i = -0*v + v + 17, 5*v + s*i + 13 = 0. What is the closest to 2 in -1, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/30 and 187\/5220?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -26.7 (c) 5 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r. Let j(h) = -h**2 - 4*h + 1. Let v be j(-4). Let y be q(v). Solve -5*k = -14 - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 98*a - 62*a + 234*a - 175*a.\nAnswer: -123*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6*-1 - 1)\/(103\/412).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-389668)\/(-8)*(-51 - 9). Let p = l + -20807490. Round p to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8 = v + 15, -d + 53 = 10*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(78)\/sqrt(6))**2 - -4*sqrt(117) - (sqrt(143) - -4*sqrt(143)*2)\/(sqrt(99)*1).\nAnswer: -26 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:53 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 10) + -15 + -4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*h*j*r**4 - 46*h*j*r**3 - 4*h*j*r**2 - h*j*r + 23*r**4 + 168*r**2 + 2057 wrt r.\nAnswer: 768*h*j*r - 276*h*j + 552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*s - 355*s - 2205 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -173 and 7.9.\nAnswer: -1366.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 - 622*k + 7320 = 0 for k.\nAnswer: 12, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**5 + 6*w**3 + 6. Let u(c) = -7*c**3 - c**2 - 7. Let v(x) = 7*q(x) + 6*u(x). What is the third derivative of v(z) wrt z?\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7200 by -18.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 131707271 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 599074 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1017157, 1017160, 1017163?\nAnswer: 1017166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3533 and 568.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -231103003 (base 4) in base 9?\nAnswer: -312454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/20053 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*c**4 + 245*c - 245*c)*(-2*c - c + 0*c).\nAnswer: -171*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 - 6*w - 5. Give i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -735\/11 + 15877\/220. What is the common denominator of -2 + 2 - (-5 + (-319)\/(-220)) and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 91 + 61 = -d, 603 = 4*r - 3*d. Calculate the remainder when 505 is divided by r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 601.7336ns?\nAnswer: 0.0006017336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*z + 7 = 3, -2*y - 2*z = -2. Which is the closest to y? (a) 2\/9 (b) -3 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 6*z + z**2 - 1 + 0. Let k be (-4 + 0)\/(2\/4). Is u(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2*sqrt(117))*2 + (-4*sqrt(117)*-2 - sqrt(117)))\/((sqrt(729) - (2*sqrt(729) + sqrt(729) + sqrt(729))) + (-1*sqrt(225) - sqrt(225))).\nAnswer: -5*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435207.8 years to millennia.\nAnswer: 435.2078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2 + z + z + 2*z**2 + (9*z + 11*z - 42*z)*(105*z + 81*z - 114*z).\nAnswer: -1583*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2747*u + 35462. Determine l(-13).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/672)\/(((-3)\/(-2))\/((-6)\/(-4))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/557208 and 59\/264.\nAnswer: 6129288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 3*r**2 - r + (1 + 2 - 4)*(-4*r + 4*r - r**2) - 9*r**2 + 5*r**2 + 8*r**2 + 259 - 259 + 20*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -209*r**7\/42 - 44*r**3\/3 + 140*r - 2. Find the second derivative of m(u) wrt u.\nAnswer: -4180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**3\/5 + 84048*a**2\/5 - 158721132*a\/5 + 317106048\/5 = 0.\nAnswer: -29792, 2, 1774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m = 54*m + 526 - 142 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -74616 (base 8) in base 2?\nAnswer: -111100110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 4. Let n be k(3). Let u be n\/5 + (-108)\/(-120). Find b such that -1\/2*b + 1\/2*b**2 + 1\/2*b**3 - u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z = 2*l - 39*z - 2, 2*l - 3*z + 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 275428608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14636509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 2531095?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let i(j) = -5*j**2 - 4*j - 4. Let g(h) be the first derivative of -1\/3*h**3 - h - 1 - 1\/2*h**2. Let t(z) = 4*g(z) - i(z). Determine b(t(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/232130 and 79\/556.\nAnswer: 464260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3570 (base 11) to base 16.\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:04 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15072 (base 12) to base 3.\nAnswer: 1111102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137311 and 366?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 9*f - 3. Let o be z(-8). Let c(p) = -p**2 + 8*p - 6. Let g be c(7). Solve 21 - g = o*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.687777 * 0.5.\nAnswer: -2.3438885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 1\/2, -5, -38, 29, -197?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. Suppose -3*t + 2*t + 2 = 0. Let z be 3 + -1 + (-1)\/t. What is the third smallest value in -0.2, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 47*k**2 + 24*k - 2. Let g(z) = 48*z**2 + 24*z - 1. Let u(h) = 2*g(h) - 3*p(h). Factor u(b).\nAnswer: -(3*b + 2)*(15*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/122464 and -31\/469710672.\nAnswer: 939421344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1047602888 and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/8, 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 28*u**3 + 3*u**2 + u - 1. Let h be -5 - 4*(-1)\/(-2). Let y(z) = -55*z**3 - 5*z**2 - 2*z + 2. Let s(m) = h*w(m) - 4*y(m). Give s(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*i - 20 + 3, 5*i - 4 = -3*q. Suppose 29*r - 80 = 25*r. Let o be ((-22)\/(-4) - 2)*r\/35. Solve o*d - d = -q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41667.\nAnswer: 3, 17, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3817045 - 29040107.\nAnswer: -25223062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-2808)\/(-324)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 32 = t, 5*c + 3 = -2*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 63 = -5*b, -4*b - b + 2*p + 61 = 0. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3320253 and 38\/6477.\nAnswer: 421672131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 8:39 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 555*c + 558*c - 1682*c + 555*c. Let z(p) = -1. Let u(o) = -o - 6. Let b(w) = u(w) - 6*z(w). Give b(y(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*i - 11, -3*n - 4*i + 0*i = -17. Solve -k + 4*h + 5 = 0, n*k + k - 20 = -h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000001010011101010001101 + -1?\nAnswer: 1011000001010011101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 362, 1467, 3322, 5927, 9282?\n\"Answer: 375*g**2 - 20*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106854 divided by 914.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - (2 - 1). Let y = 3.93 + 1.07. Let o = -0.7 - -1. Which is the smallest value? (a) o (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1363*o - 1690. Let a(z) = 1362*z + 1733. Let y(c) = 2*a(c) + 3*s(c). What is the derivative of y(h) wrt h?\nAnswer: -1365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + 3505*f - 2*f**4 - 3444*f + f**4 + 0 + 0 + (-7 + 2 + 3)*(3*f - f**4 - 3*f) + 6 - 6 + 4*f**4 to o + w*f**4 + p*f + l*f**2 + k*f**3 and give p.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 - v - 5. Let n be z(6). Solve -3*w = 5*q - n, 2*q + 3*w - 19 = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-5)*(-27)\/(945\/10)*17*5\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3062 (b) 1\/5 (c) -3 (d) -50.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211716 divided by -9.\nAnswer: 23524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 78.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/144*6*4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.2872 days to seconds.\nAnswer: 15490414.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -w. Suppose 7*v = 2*v + w*g - 15, 25 = 5*g. Is 1*(v - -10*41) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4*l + 1 + 5, -5*l - 10 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-8 - -5)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from zzymnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2)*(16 - 19). Let s be (5 - 5)\/(4 - 1). Suppose n - 3*r - 9 = 0, s = n - 6*n - 3*r - 9. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51, -200, -449, -798, -1247, -1796, -2445?\n\"Answer: -50*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*x - 2 = 4, -w - 4*x - 2 = 0. Suppose 0 + w = 3*u + y, -y = -5*u + 10. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113305?\nAnswer: 5, 17, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187355 and 3535?\nAnswer: 187355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 8) to base 15\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.52 - 0.558. Let b = 16.962 - u. Let n = 17.0000416 - b. What is n rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8. Solve a*b + 20 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2348*n**2 + 2340*n**2 - 4698*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w + 2. Let n be 5\/((-10)\/(-328)) + 0. Let z(u) = -3*u - 164 + n + 2*u. Give m(q) + 6*z(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31773311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1)\/(-13 - 0). Let n be (-1)\/4*(-2)\/(-3). What is the nearest to 0 in -2, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 0.00683.\nAnswer: 0.30683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1118 and -27.37?\nAnswer: -30599.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (508*g - 512*g + 364*g)*(3*g**3 - 3*g**3 + 2*g**3).\nAnswer: 720*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 5. Calculate l(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150431506 (base 7) in base 16?\nAnswer: 97f0a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195274757 to the power of 1\/2, to the nearest integer?\nAnswer: 13974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1103, 2165, 3225, 4283, 5339, 6393, 7445?\nAnswer: 8495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203482 + 203482. Let z(a) = -a**2 - 8*a - 5. Let t be z(-7). Solve -t*q + 2*k = -m*q - 4, -4*q = k + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.868428 + 0.2?\nAnswer: 1.068428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12481 is divided by 691?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310758 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -1031, -4\/5, 2\/15, 5, 11, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -986 - -2419. Let a = 1434 - u. Let l(d) = -d - 9. Let z be l(-4). What is the closest to a in -3, 6\/5, z?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -q + y, -2 = q + y. Let m(h) = 19*h**2 + h - 1. Is m(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*x**3 + 2*c*x + c + 159060*x**3 - 743*x + 54 wrt x.\nAnswer: -12*c*x + 954360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -3*z - 74647. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0444293799 rounded to three decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 - x**4 + 5*x**4 + (-2*x + x - 2*x)*(6*x**3 + 9*x**3 - 8*x**3).\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 180, 193?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-92)\/(-230) - (-6)\/10)*23. Solve 5*s = -4*x + 8 - 18, 0 = -5*x - s - t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15300333133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsssjvzzjff. What is prob of picking 2 z and 1 v?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.128 take away 2.03?\nAnswer: 9.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 79. Let j be k(0). Suppose -4*x = x + s - j, -3*x + 45 = 3*s. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -31. Suppose 0 = -5*n + 525 - p. What is the remainder when n is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 8. Let p(d) be the second derivative of d**5\/20 - 5*d**4\/12 + 5*d**2 - 2*d - 31. Does 10 divide p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5524452347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/708 and -41\/4277025?\nAnswer: 1009377900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 4*x**2 + 2*x. Let f be b(-3). Suppose 2*a + 5 = -f*a. Let z be 0 + 1 + a + -1. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 14516 = -6556. Calculate the smallest common multiple of o and 15.\nAnswer: 6585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118918.\nAnswer: 2, 37, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7796483.34 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (0 - -1) + -12. Let y = v + 17. What is the remainder when 34 is divided by (-248)\/(-14) + y\/28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2303.\nAnswer: 460.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:34 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1266, -1268, -1270, -1272?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12997658.\nAnswer: 2, 6498829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 965, -666, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19000153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 - 4*n**3)*(-9 + 4*n + 3 - 5*n).\nAnswer: 4*n**4 + 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4742 (base 9) in base 11?\nAnswer: 2711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -48 - 17 + 31 - 3*h**2 + 2*h**2. Let j(p) = -1. What is b(i) + 2*j(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116512667 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/4)*(-7 + -186). Let n(i) = g + 2*i - 772. Let j(p) = -85*p**2 + 39*p**2 + 44*p**2. Calculate j(n(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*n - 25, 4*p = -4*n - p + 2. Suppose -357 = -n*s + g, 5*s - 525 = -5*g + 50. Calculate the remainder when s is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3534248 and -0.5?\nAnswer: 1767124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 6*w**2 - 5*w + 6.\nAnswer: (w - 1)*(w + 1)*(5*w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -232043042, -232043055, -232043092, -232043165, -232043286?\n\"Answer: -2*a**3 + a - 232043041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((15 - 6) + -27 - (-1727)\/91)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-12 + -13 - 1) - (6 + -16)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 9:19 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -166 (base 13) to base 6\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -577 + 579. Which is the biggest value? (a) 0.17 (b) -0.3 (c) 6 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2724436.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-14) + 1\/7. Suppose -5*f + 3*q = -97, 7*f = 2*f + q + 99. Suppose 26 = 2*v + f. Solve r = v*l - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1026*v**3 - 8*v**2 + 15*v wrt v?\nAnswer: 6156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:12 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8102189 divided by 9073\nAnswer: -893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -5 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 74967.7133 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.82 + -15.8.\nAnswer: -12.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:55 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y**2 - 25*y + 151. What is the hundreds digit of r(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162760 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n - n)*(-4 - 2 + 4) + (-2 + 6 - 2)*(-25 + 15*n + 25).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46814.\nAnswer: 2, 89, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let h(o) = -7*o + 6. Let c(j) = -6*g(j) - h(j). Let d(x) be the second derivative of -5*x**4\/12 + 2*x. What is c(d(b))?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -291 or -874\/3?\nAnswer: -874\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (702\/4)\/(102\/136). Let v = f + -226. Calculate the lowest common multiple of 3 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/13 - 94*a**2\/13 - 664*a\/13 + 760\/13 = 0.\nAnswer: -38, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**6\/75 + p**5\/2 - 11*p**4\/15 - 16*p**3\/5 - 7*p. Find g such that u(g) = 0.\nAnswer: -1, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Let q(j) = 2*j**2 - 7*j + 5. Let n be q(p). What is the units digit of (-1 + 2)\/(3\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 26*k**3 + k**2 - k. Let c be z(1). Let j be (-4)\/c + 8016\/52. List the prime factors of j\/3 + (-2)\/6.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 24. Let z be t(10). Suppose 0 = 4*u + u - 4*y - 285, 163 = 3*u - z*y. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-6 + (-24)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 d when three letters picked without replacement from {d: 1, g: 5, y: 4, q: 2, v: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-48180)\/(-6 - 16) + 0 + 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 3*y**3 + 2*y**2 - 4*y**3 + y**2 + 1. Let n be j(2). Differentiate -3*u**2 + 4*u**2 - n + 4 wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2. Let w(n) = -2*n + 136. Give k(w(j)).\nAnswer: -16*j**2 + 2176*j - 73984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -3 in decreasing order.\nAnswer: 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -990*u**3 + 5436*u**3 - 120*u + 120*u.\nAnswer: 4446*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*s**4 + 77*s**2 - 7979*s wrt s.\nAnswer: -348*s**2 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.93744 minus -49.98?\nAnswer: 199.91744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-979888)\/(-524940))\/(6*1\/(-5)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (-2*sqrt(243))**2) - (1*(sqrt(243) + 0 + sqrt(243)) + 3).\nAnswer: -18*sqrt(3) + 2901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 7*n**3 - 4*n**3 + 3*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186a (base 11) in base 16?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 10*z**2 + 13*z + 15. What is the common denominator of s(11) and 89\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 61060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2935 - 14592\/5. Let y(h) = 15*h**2 - 25*h + 17. Let k be y(0). Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*q + 18, -6*q - 36 = 2*w - 44. Put -12, -15, 2\/3, 1\/9, w in ascending order.\nAnswer: -15, -12, w, 1\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 19 = 4*p + 2*y, 4*p - 1 = y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 - 2*o**4 + 0*o**4 + (-7366*o + 3682*o + 3802*o)*(-o**3 + 5*o**3 - 2*o**3) + 0*o**3 - o**4 + 0*o**3.\nAnswer: 234*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -178*i**3 + 7*i**2 - 6*i + 8. Let p(q) = -59*q**3 + 3*q**2 - 2*q + 3. Give 3*k(h) - 8*p(h).\nAnswer: -62*h**3 - 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -236253*g**2 + 12*g. Let k be x(4). Round k to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-1))\/((6586\/89)\/74)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000011100011100100 (base 2) in base 9?\nAnswer: -1011144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576080 and 48512.\nAnswer: 4608640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2*l)**(6\/7))**48 assuming l is positive.\nAnswer: l**(864\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -157 + 60 + 82 - (1 - 23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -35 (b) 14 (c) -105 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 25. Let h(g) = 27*g. Give h(b(w)).\nAnswer: 54*w - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from yvgsygyrgv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 9}. Give prob of picking 1 p and 2 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*w + 22 = 0, -5*t - 2*w + 176 - 34 = 0. Let k = -28 + t. Put 4, -4, 3, k in increasing order.\nAnswer: -4, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 9*b**2 + 82*b + 1211. Calculate m(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*h**3*s**3 - 2*h**3*s**2 + 446*h**3 + 27*h**2*s + 32063*s**3 wrt h.\nAnswer: -540*s**3 - 12*s**2 + 2676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.15 + -9. Let p = k + 0.15. What is the nearest to 0.1 in 3, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 - 2 = 0, 5*l + 4*j = 55359. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -1. Suppose a*w - 56 = -3*t, -t + 4*w + 24 + 23 = 0. Suppose 2 = -5*p + t. Solve 2*h = p*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001309 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-9 - (-14 + 17 + -10)) + -29.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*p - 11, 0 = p + v - 0 - 1. Let w(y) = y + y + y**p - 7 - 2*y**2 + 3*y. Calculate w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/3234 + ((-1164)\/22 - 486\/81)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/3*15\/(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 324447 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11758854 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 740 and -54.\nAnswer: -39960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -16*u**3 + u + 9. List the prime factors of a(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -14\/3*a + 2*a**2 + 2\/9*a**3 - 47. Determine c so that x(c) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**9)**(2\/107)\/((q**0\/q)**27\/(q\/((q\/(q*q**(-6)))\/q*q*q)*(q\/(q*(q\/(q*q*q*q**(-3\/5)))\/q))\/q)) assuming q is positive.\nAnswer: q**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 3*j**2 - 4*j**2)*(-j**3 + 6*j**2 - 6*j**2) + (-2*j**4 - j**5 + 2*j**4)*(4 - 4 + 1).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 85?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12213345 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 1, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -172*q**3 - q**2 + q + 2. Let y be w(-1). Is (y\/20)\/((-3)\/(-15)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5\/3)\/v)\/(v*v\/(v\/v**(-1\/6))*v))**(-2)*(v\/(v\/((v**(-3)*v)\/v))*v**(-3\/4))**(-2\/15) assuming v is positive.\nAnswer: v**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4752)\/440*10\/(-8)*2896\/24. Solve 1631*t - y*t = -18 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64184 - 198*u - 64184.\nAnswer: -198*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98034*q**4 + 432*q**3 - 52758731*q**2 + q wrt q.\nAnswer: 2352816*q + 2592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68\/(-190) + (-1 + 4)\/15. Let l = u - 4\/95. Put 0.5, l, 11, -4 in increasing order.\nAnswer: -4, l, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w + 3*r + 18 = 69*w, 0 = 3*w - 5*r - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 27*i - 741 = 0. Calculate the remainder when 56 - 2 - (1 + -3) is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51200 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104\/15? (a) -18 (b) -2 (c) 1\/45 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1882?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((252\/(-10))\/6)\/(36\/(-144)*12)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 + 2 = 0, -2*z - 5 = -3*j. Is 81 - (2\/z - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 2\/(-1))*(7 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*t - 2)*(-4*t + 0*t + t) - 19*t**2 + 44*t**2 - 22*t**2 + (2*t - 4*t + 4*t)*(-4*t + 3*t + 0*t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:52 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1602638920 to the nearest 1000000.\nAnswer: -1603000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 + -51?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 37*x - 208. Let u be d(5). Let l be 446\/(-8)*(-8)\/2. Suppose -u - l = -3*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*c - 225, c - 3*c - 5*d = -109. What is the lowest common multiple of 21 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -5.9. Let x = -88.51 - -0.51. Let m = x - -88.3. Which is the nearest to -0.1? (a) -0.3 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151683*n**3*v - 1854*n**2*v + n**2 + 2*v wrt n?\nAnswer: 910098*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15960 and 1995?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-116)\/7 + (3 - (-34)\/(-14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/57)\/o)\/(o**(-18)\/o))\/((o*(o*o**(-6))\/o*o*o)\/(o*o**16*o*o)) assuming o is positive.\nAnswer: o**(2278\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 791335581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*2 - (33 - 18867\/399).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29021 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5376155 is divided by 2688075.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884352 is divided by 462?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2733 = 2*l, -26*l + 3*k = -29*l + 4047. What is the least common multiple of l and 9?\nAnswer: 12186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 3*h**2 + 13*h - 4. Let c be o(-7). Let w = -422 + c. What are the prime factors of w?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 + -32)*(-17)\/34?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**4 - 1226816*n**3 + 4907312*n**2 - 4907328*n = 0.\nAnswer: -306708, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99192, -99538, -99894, -100266, -100660, -101082, -101538?\nAnswer: -102034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2248 and 14893?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3393345 + 52*t**2 - 3393345.\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v**2 + 3*v - 7*v + (-4*v + v + v)*(5*v - v + 0*v + (1 + 2 - 1)*(-v + 5*v - 3*v) + 36*v - 15*v - 16*v) - 2*v**2 + 3 - 3.\nAnswer: -22*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 4*o - 6, 10 = 2*o + 4*i. Suppose -4 = -2*d - 0*d. Let q = d + o. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267959262 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: Let k(w) = -w**3 - 5*w**2 - 6*w - 1. Suppose 0 = 3*o + 2*v + 2, -4*o - 5 - 21 = -2*v. Let p be k(o). Suppose a = -3*h + p*h + 87, -h = a - 62. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 18. Give w(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -55 + 2 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10577100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520409 - 1110963 = -55*t + 976396. Round t to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/21))**(2\/59))**(-23) assuming n is positive.\nAnswer: n**(46\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 408276504 a multiple of 981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -211330 (base 6) to base 13\nAnswer: -7a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-20) - (-1)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10*(2 - 2). Suppose k = 7*i - 3*i - 136. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 54. Solve q = 2*l - w, -4*l + 4*q = -11 - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 119 + (-3 + 1 - 2). Suppose -2*a - 106 = -6*a - 3*w, 5*a - 5*w - z = 0. What is the remainder when 99 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -1101010100122?\nAnswer: 1101010100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 12 = j. Let f = j - -10. Let i(q) = 16*q**3. Let m(r) = 3*r**3. Let s(z) = 2*z - 26. Let t be s(11). Determine f*m(b) + t*i(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43 (b) 1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27552136.\nAnswer: 2, 3444017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h = 15*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 247871215 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose -2 - 14 = -a*i. Calculate the remainder when 13 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1142528088 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21673.6 - -20850. Round h to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 + a**2 - 2. Let u(l) = -l**3 - 1. Let c(t) = -g(t) + 2*u(t). Let x be c(1). Solve -5*r - 14 = x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/33)\/((-2)\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by 48?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 102, 48, -28, -132, -270, -448, -672?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -14\/3*q**3 + 33 + 0*q + 0*q**2 - 15\/2*q**4. Find the third derivative of m(r) wrt r.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 569473 and 807?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*3.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/2*s**5 + 0*s**2 - 6*s**4 + 0*s + 15\/2*s**3.\nAnswer: -3*s**3*(s - 1)*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + -0.153794570606.\nAnswer: -76.153794570606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o - 3*a, -a - 7 = -o + 4*a. Suppose -o*s + 132 = 4*s. Let i(d) = d**3 - 22*d**2 + 3*d - 23. What is the tens digit of i(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 2706?\nAnswer: 78474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*h + 9, 0 = -2*u + u - 4*h + 3. Find the second derivative of -3*o + 7*o - o + o**u + o**3 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/5 - 5712*c\/5 + 74594\/5 = 0?\nAnswer: -2869, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 122 = -28 + 88 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370 divided by -5.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/14*11\/((-440)\/16)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t - 29*t - 140 = 0. Let n(w) = -w**2 + 7*w. Determine n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -40*z + 170. Let a be i(3). Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 - 47*d**4*g**2 + 2*d*g**2 - 79*d wrt d?\nAnswer: -20*d**3 - 564*d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 13*u + 16. Let o be d(12). Let m be o*(-3)\/(-36) - 22\/(-6). Suppose l = 2*l - 3. Solve 0 = -m*z + 4*p - 8, 4*z + 2*p - l = -11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -29*g**4 + 10*g**3 + 23*g**2 - 15*g - 4. Let j(m) = -15*m**4 + 5*m**3 + 11*m**2 - 8*m - 2. Let h(z) = -5*j(z) + 3*v(z). Solve h(b) = 0.\nAnswer: -1, -1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132331212 (base 4) to base 13\nAnswer: -45957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2122*a**2 + 1011*a**2 + 1027*a**2 + 55*a to the form n + o*a + i*a**2 and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 30. Suppose 24 = 2*m + 2*i, m - a*i - 2 - 10 = 0. Let v = -3 + 38. Calculate the remainder when v is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18.869395862 and -0.4.\nAnswer: -19.269395862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 26*d**2 - d + 14. Let y be s(13). What is the remainder when 269 is divided by (18 - 3) + y\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473835, 947671, 1421507, 1895343, 2369179?\nAnswer: 2843015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**8)))\/p)\/((p*p**(11\/6))\/p) assuming p is positive.\nAnswer: p**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4155959 and 1533462?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1525*z**3 - 2*z**2 + 6*z + 2. Let n(l) = -4573*l**3 + 7*l**2 - 21*l - 7. Calculate -7*h(t) - 2*n(t).\nAnswer: -1529*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, i: 3}. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10bb6 + 5?\nAnswer: 10bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.219 * -87698.\nAnswer: -19205.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.352 + 101.268. Let n = -101 + w. Let o = 1.02 - n. Is -1.1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from lyzlt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14746.0032292 + -14746. What is z rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156 - -1402\/9. Let t be (-42)\/104*1 - 50\/(-325). What is the closest to 0.1 in d, t, 25?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.4 - 18994.96531036?\nAnswer: -19016.36531036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 37 in increasing order.\nAnswer: 4, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -87512668.\nAnswer: 5\/87512668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37194*j + 5883*j - 1 + 1 to b + g*j and give g.\nAnswer: -31311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 5*t**3 + t**4 + (4 + 1 - 3)*(-t**4 + 1 - 1) - 4 - 2*t**4 + 5 - 115150*t**3 + 111643*t**3.\nAnswer: -3*t**4 - 3507*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 (base 5) in base 15?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/5 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45.2 * 0.105\nAnswer: 4.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:26 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q*q*(q**4\/q*q)\/q assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 59*l - 116. Let x be n(2). Solve 2*t - 4 = x*b, 3*t = -3*b + 9 + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10))**(-48) assuming k is positive.\nAnswer: k**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183935 (base 10) in base 5?\nAnswer: 300341220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(((b*b\/b**(-18)*b)\/b)\/b))\/b)\/(b**(-33)\/b*b))\/(b**(8\/3))**(8\/7))**(2\/41) assuming b is positive.\nAnswer: b**(460\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 40 = 2*u. Suppose -2*g - 6 = -u*x, 0*x + g + 3 = -2*x. Suppose -2*h - 4*h = -x*h. Solve -5*b + 0*b + 5 = h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3125 - 15725 = 300*x for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247867 is divided by 35407.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -37. Let g be 12 + 0\/(2 + o). Is g < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*d + 4*d**2 + 6*d**6 + 17*d wrt d?\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 46, 1\/3, -2, 3\/5, 4, -0.5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1736, 1734, 1732, 1730, 1728, 1726?\n\"Answer: -2*y + 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**4\/6 + t**3\/3 - t**2\/2 - 1. Let w(j) be the second derivative of s(j). Does 7 divide w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640982.\nAnswer: 2, 53, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5500 - -6103. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - p - 12 = 7*t, 3*t - 9 = -5*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/25 + (-19)\/(-5). Suppose -u = -p - 1. Let d(x) = 8*x + 3 - 2 - 3*x + p*x. Determine d(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13 = 4. Suppose r*n = 23 + 1. Let q = 98 - 58. What is the highest common divisor of q and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. What is the closest to r in 0.01, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5365 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 3 - (1033 + -1035) - -12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 6\/23, 3?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 22*t**2 - 462*t + 97. Is u(45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(76)\/(sqrt(12)\/sqrt(3)).\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -0.4, 158.8, 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -38990\nAnswer: 3899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = n - 5, 2*n - 13 = -n - 2*t. Suppose 4*b - b = -3*l + 9, -5*l = b - 11. Suppose 0*z - l = -2*z, 4*r + z = 49. Solve n*h = 7*h - r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 16, 76 - 51 = -2*t + 7*t + 3*m - 112 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 1 - 1)*(1 - 2 + 3) + (-5 + 0 + 3)*(3 - 3 - o**3) + 4*o**3 + 2*o**3 - 4*o**3 + 2*o**3 - 3*o**3 + 0*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 - -4.7. Let l = s + -2.84. Let g = l - -0.14. Does g = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1879 + 5.93.\nAnswer: -1873.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 515 = -143. Let h = l + -86. Calculate the remainder when (1 - 2) + 16 + -2 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 3, 4, -182.27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42823997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 6, e: 2, f: 2}. What is prob of picking 1 e, 2 b, and 1 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 6. Let p be j(-10). Let g be p + 1 - (-6)\/(-3). Let a = 0 - g. Solve -5*l + 11 = 4*w - 2*w, 0 = -a*w - 3*l - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*d**2 + 1482*d**2 - 742*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 42*y + 447 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21 = 15. Let b be 3 - (p\/4 + -1). Let a = -4965\/26 - -191. Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 2:20 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-1 - 4 + 4) + (-56 + 13 - 96)*(-15 + 2 - 1))*(5*v - 2*v - v).\nAnswer: 3894*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6867, -13715, -20547, -27363, -34163, -40947?\n\"Answer: 8*v**2 - 6872*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131108.\nAnswer: 2, 73, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 8*t**2 - 5*t. Let v be s(-6). Find the common denominator of ((-3)\/28)\/((-42)\/(-700)) and (-436)\/v - (-4)\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9186055141 - 55\nAnswer: -9186055196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199 + 204. Suppose r*y = -3*x - 54, 4*y - 3 = 9. Is x at least -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -12. Suppose 5*k = -36 + y. Let i(p) = p**3 + 6*p**2 - 2*p - 2. Let q be i(k). Solve 4*n = 2*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87\/5 + -17. Let k = -106 + 106.3. What is the smallest value in k, w, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*y + 5*f, 0 = 2*y - 3*y + 4*f - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 4*f**2 + 17*f + 57. Let z be b(-6). Let x = 147 - z. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3764 - 33839\/9. What is the common denominator of h and 35\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/((y\/((y*y**(2\/5))\/y))\/y) assuming y is positive.\nAnswer: y**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -435 - 22655?\nAnswer: -23312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1106 and 11534?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -635*p**4*v**2 + p**4*v - 2*v**2 - 73*v + 25 wrt p.\nAnswer: -2540*p**3*v**2 + 4*p**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2214*i*z**3 - 3*i*z**2 + 4*i*z + 6*i + 2*z**3 - 4368*z**2 - 270*z wrt i?\nAnswer: -2214*z**3 - 3*z**2 + 4*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -822*k**6 + 2*k**4 - 466*k**3 + 100015*k**2 + 2 wrt k?\nAnswer: -98640*k**3 + 48*k - 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(39)*-1*5 + sqrt(39)*1*3)\/(sqrt(144)\/sqrt(12)*1).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*d + 13, -d - 3*t = t - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/3 + 26*c - 216 = 0. Calculate c.\nAnswer: 12, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2925 and 4095?\nAnswer: 20475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-2\/3))\/s**(-7))**(2\/27))**(1\/11) assuming s is positive.\nAnswer: s**(52\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 5\/1257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -440841 in ascending order.\nAnswer: -440841, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3))\/(107\/642).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -42. Let t(c) = 2*c + 8. Let d be t(q). Let x = 7 + d. Sort x, -9, -5 in increasing order.\nAnswer: -9, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 304454 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257408\/83 + 3101. Let v = -5251\/18260 - r. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16768 (base 12) in base 6?\nAnswer: -405012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28 - -112\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50768.23g to milligrams.\nAnswer: 50768230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310694349?\nAnswer: 1310694349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3948 is divided by 3019?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:50 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/5 - 1724*b\/5 + 743044\/5 = 0?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -28?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26186393 - 576324891\/22. Let u = n - -10198. Find the common denominator of u and ((-7)\/(-4))\/(11\/14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23720840291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/(-20) - (-6)\/(-8) - 6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = -2, 15 = 4*u + 5*o. Is 0.8 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 0.01, -12, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:58 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 60 = 2*o, 3*o + 2 = -i + 127. Which is the closest to 7? (a) o (b) 1\/5 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29683 is divided by 2693.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 246 + -256. Does 17 divide ((-6)\/p)\/((-8)\/40) + 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.53 + -37.53. Sort 5, 6, -0.2, u in descending order.\nAnswer: 6, 5, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -99. Let u(z) = -z**3 - 35*z**2 + 34*z - 61. Calculate the remainder when u(-36) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:12 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1508694 + 1508796.27893. Let k = o + -123.2789275. Let h = k + 21. Round h to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 0. Suppose l*p + 3*p - 165 = 0. Let h = 1184 + -1173. Calculate the highest common factor of p and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.098 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*t - 166*t + 21*t - 11151.\nAnswer: -342*t - 11151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-6))\/(4\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2831380, 2831375, 2831370, 2831365, 2831360, 2831355?\n\"Answer: -5*h + 2831385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13482, 26965, 40448, 53931, 67414, 80897?\nAnswer: 94380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(-1 - -1). Suppose -2*g + 5*h - 19 = 0, s*g - 2*h + 10 = -2*g. Let m be 0 - 0 - 2 - 1. Which is the nearest to -1\/2? (a) g (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-170))\/((-16)\/((-28320)\/(-59))).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-27))\/(2\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m - 16. Let k(r) = 6*r - 8. Let z(b) = 5*k(b) - 2*p(b). Let t = 101 - 24. Calculate the remainder when t is divided by z(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-405)\/11 - (-27)\/9. Let u = s + 2569\/88. Find the common denominator of 133\/6 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/(m\/(m**(1\/3)\/m*m)))**(1\/4)\/((m**7\/m*m)\/m**3*(m\/(m**4*m))\/(m*m**(-4)*m)) assuming m is positive.\nAnswer: m**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, 5, -449?\nAnswer: -449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1, 2*c + 5*x = -c + 20. Is 5 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -g - 32. Suppose 0 = -8*f + g*f. Suppose -5*k - 10 = 0, n + f*k + 3 = -3*k. Solve 3*v + n = -0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.58 - 0.18. Let d = y + -2.1. What is the nearest to -5 in d, -4\/7, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/135144 and -85\/21.\nAnswer: 946008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 6930 and -22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 - q**2 - 3*q - 3. Let p(c) = c**3. Let g(b) = -d(b) + 6*p(b). Calculate the remainder when g(-2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let v = -0.18398 + -0.11602. What is the closest to -14 in v, r, -0.2, -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lss when three letters picked without replacement from {d: 2, k: 1, s: 3, z: 1, y: 3, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11 = 4*r - 56, -2*g - 10 = 0. Let c = r + -10. Is 20 a factor of (c + -2)*(-21 + -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let c be x(0). Let l be 0 + 1 - (-1 + c). Suppose -2*b + 4 = l*q, -3*q - 9 = -0*b - 2*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218635 to the power of 1\/2, to the nearest integer?\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 8*d. Let i(y) = -y**3 - 6*y**2 + 5*y - 12. Let g be i(-7). Solve d*c = g*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35650 and 30130?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*g = 20411 - 3636 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2253 - -1296. Let m = 3493 - n. Suppose -i - 4*i + m = 0. What is i rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (-84)\/12 + 1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4095220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 4:48 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -61.\nAnswer: 7.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22896.3 years?\nAnswer: 2289.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 92, 170, 282, 440, 656, 942, 1310?\n\"Answer: 2*n**3 - n**2 + 45*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + 129\/(-27). What is the third biggest value in 2, p, -0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -4 (c) 0.5 (d) -3 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -13726\nAnswer: 6\/6863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1192.0607 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 + 253780*n**3 + 14958612*n**2 - 30678580*n + 15466184 = 0. Calculate n.\nAnswer: -63386, -61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:33 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4725, -13871, -29113, -50451, -77885?\nAnswer: -111415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*l = -3, 536*c - 5*l = 533*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101110111 + -1111000100111?\nAnswer: -100101110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4\/4 + 6171*k**3\/4 + 61941*k**2\/4 + 142581*k\/4 + 43407\/2 = 0.\nAnswer: -7, -2, -1, 2067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 736, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-2 + sqrt(500) + -1 - (sqrt(500) + -2*sqrt(500) + 0 - sqrt(500))))*6*-3)**2.\nAnswer: -38880*sqrt(5) + 1459296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6178584 divided by -129.\nAnswer: -47896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70477117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 0.33 (c) 11.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*b - 69, -3*b = 2*w + 56 - 17. Is -37\/2 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(125) + 2)*3 - sqrt(125))*6 + 3)**2*-2.\nAnswer: -156168 - 37440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 12. Suppose g*j - 19 = 2*m - m, 3*m + 36 = 5*j. Let q(i) = -2*i - 7. Give q(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -160. Suppose -2*s - g = -7*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20216 = 3*l - 7*l. Let p = -7104 - l. Round p to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/3 + 181088*d\/3 - 2049553984\/3.\nAnswer: -4*(d - 22636)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3127771 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -6*y + 71 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4 - 8 = -3*g, -l - 5*g + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2850)\/57*4\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + 4*p - p)*(-4 + 4 - 3*p**2)*(7*p + 7*p - 6*p) in the form n*p**4 + j*p**3 + h*p**2 + l*p + k and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**2 - 4*s - 4. Let q(l) = 5*l**2 - 2*l - 2. Let d be ((-12)\/10)\/(63\/210) - -10. Calculate d*k(u) - 13*q(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 23131?\nAnswer: 23124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813478222.\nAnswer: 2, 67, 997, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-140)\/(-8) - (6 - 2))*34. Calculate the greatest common divisor of 34 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 13*i**7\/42 + 13*i**3\/6 + 23*i. What is the second derivative of m(y) wrt y?\nAnswer: 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -737954510.999763 - -737954206. Let g = -248 + 553. Let z = h + g. What is z rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 + 11*v**3 + 8*v**2 - 2*v**2 + 109 + 4*v**3 - 13*v**3 as p*v**2 + s*v**3 + j*v + o and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - r. Let y(a) = -a. Let n = -8 - -6. Let d be y(n). Suppose -d*q = q - 6. Calculate x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*r + 2123, -120*t - 2*r - 1552 = -123*t. Calculate the highest common divisor of 99 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 4*m**3 + 19*m**4 - 2*m**4 + 6*m - m**3 - 6*m**3 in the form v + x*m**2 + u*m + l*m**3 + s*m**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8978100 and 150?\nAnswer: 8978100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5253\/11 + 477. Let l = 0.5 - 0.3. Let b = l - -0.8. What is the nearest to b in g, 0.5, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-17 + (-5 - -2)). Suppose 25 = k*j - 18*j. Solve o = -2*i + j, -2*o + 4*i + 0 = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*y - 98640, 4*y - 246578 = -y + 3*x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -980746?\nAnswer: 196149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 2.168?\nAnswer: -3.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -277, -9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40490 - 22922. What are the prime factors of q?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 - -3) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-34))\/(39110\/199461)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79247 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**3\/7 + 468*r**2\/7 - 11544*r\/7 + 3024.\nAnswer: 6*(r - 18)*(r - 2)*(r + 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -87*o - 503. What is the lowest common multiple of 690 and n(-19)?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2. Let x(d) = -1253*d. What is m(x(f))?\nAnswer: -4710027*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let j = u + 19. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*w = 9, -5*r + 4*w + 1 + 2 = 0. Let t = 4.62 - 0.62. Sort 1\/5, t, r.\nAnswer: 1\/5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/54 and 61\/6642.\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1\/(-2))*(163 - 151)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1576353 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 0 + -5558 + 5591?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-11) + (120\/(-12870))\/(204\/(-3978)).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -35. Calculate the least common multiple of j and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((144\/(-330))\/(-4))\/((27\/10)\/(-9))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: d1 (base 15) to base 9\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610390 a multiple of 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 19. Let a be (l - 1)*-7 - 3. Suppose -6 = -a*z + 14. Solve z*t = t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11182 greater than -11322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 + 5035688*z**2 + 40285712*z + 60428640 = 0.\nAnswer: -6, -2, 1258930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-6 + 6 - 0) - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2594 - -2516 - (-2 + -38).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*n - 11724 = -818*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/19409918 and 13\/6.\nAnswer: 58229754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51\/15 - 6\/15. Suppose -5*j - x*n + 11 = 0, j - 7 = -0*j + n. Let p(h) = 2*h - 1. What are the prime factors of p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-2)\/(-52)*-82. Sort 5, 0.5, z.\nAnswer: z, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 516943766 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 1, k: 2, m: 1, w: 3, o: 3}. Give prob of sequence okr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 303*f - 306. Let b(d) = 4*d**2. Give h(b(c)).\nAnswer: 1212*c**2 - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14817*m. Let t(y) = 148*y. Give g(t(q)).\nAnswer: -2192916*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 0*b + 5*b**2 + 4*b - 4 - 7*b**2. Let y(r) = 1. Let z(u) = -x(u) - 5*y(u). Determine z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6)\/((-16)\/(-8000)). Suppose s*k - 5579 = 243*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21217 - 21208. Let g(p) be the first derivative of -77\/8*p**4 - 20 + k*p**2 + 9\/4*p**6 - 4*p - 12\/5*p**5 + 3*p**3. Solve g(d) = 0 for d.\nAnswer: -1, 2\/9, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 2*d = y + 8, -y + 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 - 19*p**3 + 76*p**3 + 24*p**2 - 15*p**3 - 22*p**3.\nAnswer: p**3 + 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 1 (b) 2\/67 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 5*y = -9*l + 35, 5*l - y = 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 51. Let j(t) = -5*t**2 - 21*t - 27. Let k(s) = -2*s**2 - 7*s - 9. Let b(d) = 4*j(d) - 11*k(d). What is the units digit of b(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -7*d**5\/570 + 67*d**4\/76 + 58*d**3\/57 - 103*d**2. Find s such that f(s) = 0.\nAnswer: -2\/7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6325 minus 279449?\nAnswer: -285774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1346, 5371, 12080, 21473, 33550, 48311?\nAnswer: 65756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.07, 3\/7, -1\/2, 11\/3, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c**3 + c**2 - c. Let s be b(1). Suppose -2*a = 2*a. Let i be a + 4 + -1 - -2. Calculate the highest common factor of s and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**5 + 25*g**4 - 35*g**3 + 5. Let r(s) = -5*s**5 + 26*s**4 - 36*s**3 + 4. Let f(z) = 5*r(z) - 4*t(z). Solve f(p) = 0 for p.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**8\/2240 - f**6\/720 + f**4\/12 + 4*f. Let i(k) be the third derivative of l(k). Find the second derivative of i(m) wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 0.04, 0.5, 0.2, 2\/3433?\nAnswer: 2\/3433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 0*l**3 + 0*l - 1\/5*l**5 - 6 + 0*l**2 - 1\/2*l**4. Let b(r) = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-3))\/(-2))\/(19\/57*116\/1914).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-605)\/20)*474\/79\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 5 + 1 + -2 + sqrt(125)*-1)*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 28*g + 162. What is the tens digit of b(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24101484 and 1320.\nAnswer: 241014840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.03 (c) -84\/281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j - 50*j + 8 - 7*j**3 + 371*j**2 + 3*j**3 + 6*j**3.\nAnswer: 2*j**3 + 371*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 21*w**2 - w + 37. Suppose -44 + 14 = -5*r. Let f(j) = -j**3 + 10*j**2 - j + 18. Let h(x) = r*t(x) - 13*f(x). Is 5 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32b (base 14) in base 15?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + 80.1. Which is the closest to -2? (a) -0.3 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 870 - 491. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 499675, 1998822, 4497437, 7995514, 12493047?\n\"Answer: -x**3 + 499740*x**2 - 66*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28\/859 - -40718\/36937. Let i = p + 2359\/86. Calculate the common denominator of 47\/9 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 3252*n\/7 + 1321938\/7.\nAnswer: 2*(n - 813)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 47 = 2*p, 6*p - 2*q - 83 = 3*p. Suppose -4*r + 37 = 3*c, -5*r + c + p = -2*r. Solve 0 = y - 6*y - r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - 22\/(-77). Solve -3*m + 2*b + 1 = j, -2 = -m + 4*b - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*g - 0*g + 3*u, 0 = g + 3*u - 2. Suppose 10835 = g*i - 2400. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 2. Calculate the remainder when 82 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 556, 1939, 4636, 9085?\n\"Answer: 73*u**3 - 4*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5676587651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**3 + 8*u**2 - 4*u + 328. Let w(g) = 14*g**3 + 22*g**2 - 11*g + 986. Determine -11*j(n) + 4*w(n).\nAnswer: n**3 + 336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y - 50 = 0. Let n = 9 + y. Let u = 22 + n. Calculate the remainder when 23 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 1, a: 3, o: 3, i: 1, n: 3}. What is prob of picking 1 i, 1 s, and 1 a?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Let v be 24*q*(-2)\/(-2). Let j be 31 - (-1)\/(1 - 0). Calculate the greatest common divisor of v and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -3. Let n be (-19)\/17 + (-1 - -2). Let r be (-8)\/3*(-5)\/60. Which is the nearest to y? (a) n (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -44, 28, -1\/3952, 0, 4\/7?\nAnswer: -1\/3952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29358, -29370, -29382, -29394, -29406, -29418?\n\"Answer: -12*r - 29346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-208))\/(21\/(-105))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*x - 1084719 = 35*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -3, 4, 2 in decreasing order.\nAnswer: 77, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19619 is divided by 6321.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/61, -2\/7, 1\/2, -4377?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8385962?\nAnswer: 2, 13, 322537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 5*v + 89 - 84 - 3*v + v**3 + v**3 + 3*v**4 in the form k*v + r*v**3 + f + x*v**4 + o*v**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.545 + 35.98278.\nAnswer: 25.43778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 10, -3, -7.\nAnswer: -7, -3, -1\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/72*1 - ((-358996)\/(-11616) - 31)?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - u - 12, 3*p + 1 = -5*u - 5. Let h(z) = -z - 2. Let r be h(-7). Suppose 5*f = -5*y - 25, y + 0*y - r*f = 25. Solve y = -0*v + p*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 8507\nAnswer: 63\/8507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 19*u - 12. Let b be i(1). Suppose 10*c = b*c + 381. Is c a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*x + 51 + 249 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4220, -4226, -4236, -4250, -4268, -4290?\n\"Answer: -2*g**2 - 4218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 302?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269503?\nAnswer: 13, 20731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/55080 and 47\/351?\nAnswer: 716040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 944191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26225976 and 12180.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -43176?\nAnswer: -43179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246515 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824 is divided by 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137629 and 3005.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*n + 189 - 591, 3*n = 5*h - 1964. What are the prime factors of h?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 3*t - 2. Let y be a(-2). Suppose y*x + x - 17 = 0. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.054, 0.3, 0, 0.1?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7222.023um to nanometers.\nAnswer: 7222023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 5, 6.695908, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnnnnhh. Give prob of picking 2 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) + 10\/3. Let z = 46.28 - 48.28. Put -3\/2, z, a in ascending order.\nAnswer: z, -3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8 + d + 2*d - d - 5. Let w be n(12). Let l = w + 21. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 3*c**2 + 3*c - 3. Let r be (-87)\/27 - 8\/(-36). Let y be a(r). Let g = y - -35. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 201?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus -8404?\nAnswer: 8404.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84894.2 nanometers to micrometers.\nAnswer: 84.8942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 8. Let k be h(-9). Let g be (-30*1)\/k + 3. Let x = -19 + g. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -12. Let z = 1.89 + -0.09. Let x = z + n. Which is the second smallest value? (a) x (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 8*v + 12. Let r be p(9). Solve -3 = -r*k + q - 1, 3*k - 12 = 3*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.3. Let o = -25 + 27. Let d = 472 + -1412\/3. What is the closest to o in -1, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 38. Let s = r + 24. Find the first derivative of s + 12 - n - 12 wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -j + 2, 2 - 9 = 3*q + 2*j. Let s = 1 + 7. Let t = q + s. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545031273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 7)*(-2*i + 3*i + 0*i)*(-75*i + 75*i + 7*i**2) + (59 + 56 - 116 - 34*i**2)*(-4 + 4 - i) to t*i + d + x*i**3 + v*i**2 and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/1197 - 1598\/1197. What is the nearest to 26 in -4\/5, -1\/3, s, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 44. Suppose -2*t + 44 = -d. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1732, -6, 2 in ascending order.\nAnswer: -1732, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22666, -90666, -204000, -362668?\nAnswer: -566670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2240 divided by -1120.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.84 - 1.16. Put -5, -3, g in descending order.\nAnswer: -3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 98377746*n + 98377748.\nAnswer: -2*(n - 1)*(n + 49188874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 81 = -99. Suppose 0 = n - 0*n - 3. What is the lowest common multiple of z and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 80404 and -9?\nAnswer: 80413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + 46\/(-44). Let h be 42\/(-21) - ((-2)\/(-1) - 7). Let r be (-13)\/26*h\/(66\/(-8)). Is g smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 300138*w\/5.\nAnswer: 2*w*(w + 150069)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1020909894.93 and -1377?\nAnswer: 1020908517.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 23428.8921 to the nearest ten.\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 40 = -5*x, 4*x + 0*x = m + 7. Suppose -25 - 50 = -15*u. What is the second derivative of 2*p**m - p**u - 21*p - 7 + 7*p + 37*p**2 + 11*p wrt p?\nAnswer: 20*p**3 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32158b + -18?\nAnswer: -3215a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-4 + 0)*1. Suppose 0 = -3*b - 9, 2*o + o - 5*b - 27 = 0. What is the least common multiple of o and -2*(-10)\/z*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:05 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15 = -2*m. Suppose 24 = 10*a - 16. Suppose -1 = a*b - g - 2, 3 = -3*g. Solve m*x - 3*r = -9, b*r - 17 = -x - 4*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - (-142068)\/(-20). Let a be -2 + 0 - 1 - t. Round a to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -27. Let u = 8.75 + -5.02. Let g = -1.73 + u. Which is the smallest value? (a) -0.2 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-11)*583\/(-106). Let r be (-564)\/224 + 3 - y\/12. What is the second biggest value in -5, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5 = -7, 0 = 4*v + 3*y + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24028*j + 35528*j - 43468*j as n*j + g and give n.\nAnswer: 16088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2. Let o(a) = -a**3 + 16*a**2 + 8*a + 20. Let f be o(17). Let w = f + 136. Let m(j) = j**2 + 4*j**2 + 4*j**2 + w*j**2. Give m(t(d)).\nAnswer: 108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 28 = -2*a. Let f(j) = j**3 + 7*j**2 + 2. Let h be f(a). Suppose 12 + 32 = h*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4104895314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d + 18. Let y be (32\/d)\/(3\/(-9)). Let b = 3 + 4. Solve b*k = 3*k - y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 647, 2766, 4913, 7088, 9291, 11522?\n\"Answer: 14*x**2 + 2077*x - 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 194 (c) 3 (d) 4 (e) 2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0*q\/q**(-11))**36 assuming q is positive.\nAnswer: q**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3212354 + -22055?\nAnswer: 3150255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153 and 8854212?\nAnswer: 26562636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*a + 51 - 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4, -17216, -2, 2, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 6504\nAnswer: -1\/3252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r*x**2 - 2*r + 9*x**3 - 7*x**2 + 537*x wrt x.\nAnswer: 2*r + 54*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 11.7. Let w be (-1 - (-2 + 1))\/(-2). Let f = -1.8 + 2. Which is the nearest to 0? (a) w (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 5. Let i(r) = -2*r**3 - 14*r**2 - 18*r + 10. Let m be i(-6). Let v = -52 + m. Determine o(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (7 - (19 - (-12 - -58))).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -48 - -433 - 7\/1. What is the highest common factor of 42 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1135 + -811. Calculate the greatest common factor of s and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159240?\nAnswer: 2, 3, 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -301885397.9 rounded to the nearest 1000000?\nAnswer: -302000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23118205 is divided by 2101652.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**5 - n**3 - n**2 + n + 1. Let v(o) = -6*o**5 + 3*o**4 + 6*o**3 - 3*o - 3. Let k(f) = v(f) + 3*x(f). Factor k(a).\nAnswer: -3*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35932 and 413218.\nAnswer: 826436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 14?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 23*q + 3 = 26*q, 5*q - 5 = 0. What is the biggest value in -152, k, -4, -2\/11, -2\/19?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, y: 3}. Give prob of sequence ykky.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.1 * 4.\nAnswer: 80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 - 14622*j**3 + j**2 - 551914*j wrt j.\nAnswer: 80*j**3 - 87732*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 19 = 39*t + 5*u, 3*t - 2*u - 13 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 739 + -5?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(((-1)\/2)\/(4\/8)). Let d be 48\/15 + -1 - (h - 2). Let q = -15\/2 + 22\/3. Sort q, d, 3\/7 in ascending order.\nAnswer: d, q, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 966 + -884. What is the remainder when l is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 42. Let y = 3974 + -3972. Calculate the greatest common divisor of g and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -13*g - 3. Let d(c) = 64*c + 16. Let u(r) = -2*d(r) - 11*p(r). Let h = -93 - -94. What is the remainder when u(h) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose -b + t = 1. Let f(j) = 56*j - 682 - 33*j + 682 - 2*j**2 - 24*j + 5*j**3. Determine f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4354 - 4?\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from izymihmzmzm?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 8 = 3*o + 28, 0 = i - 5*o - 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 799*y**2 + 889*y**2 + 153*y**2 - 122*y**2.\nAnswer: 1719*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -46225036*t**2 - 9958*t - 29874. Let z(q) = 69631*q**2 + 15*q + 45. Determine -15*w(i) - 9958*z(i).\nAnswer: -9958*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + -5 + 1 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-142)\/14 + (-6)\/(-42). Let y(d) = -62205*d - 50. Let c be y(r). What is c rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -9*o**4\/4 - 9*o**2\/2 + 2. Find the second derivative of b(h) wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2414985090 + -1871.\nAnswer: -2414986961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 801*t + 1 + 798*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437149?\nAnswer: 7437149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18 + 76*x + 14 + 58*x. List the prime factors of p(1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/4 + 28*j**3\/3 + 2*j**2 - 30*j - 118. Is a(-27) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474, 483, 492, 501, 510, 519?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*n + 66 = -17*n. Solve n - 11\/3*k + 8\/3*k**2 = 0 for k.\nAnswer: 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-7))\/(6\/28). Let u be (12 - 6 - 9) + -4 + -1. Let h be (-20)\/u*(-4)\/5. Put -4\/5, p, h in increasing order.\nAnswer: h, -4\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*22.6.\nAnswer: -0.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 + 8\/(2 - 0). Let y be (5 - 1) + -2 + k. Let z = y + 8. Are z and 2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429889, -860261, -1291113, -1722445?\nAnswer: -2154257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*q**4 - 77*a*q**3 - 86*a*q**2 - 2*a*q - 6*q**4 wrt q.\nAnswer: -48*a*q - 462*a - 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -11651.2?\nAnswer: -11650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v. Suppose -4*s - 26 + 278 = v. Suppose -2*a = -3*x - a + 33, -4*x + s = 5*a. Solve p - x = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 5. Let n be b(4). Suppose n*w = w + 8. Suppose -4*j - 4*o - 306341 = -22321, -71020 = j + w*o. Round j to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.76? (a) 30 (b) 0.4 (c) -2 (d) -4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8005\/17 - -40297\/85. Determine v so that -16\/5 - 4\/5*v**2 + p*v = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -32151\nAnswer: 450114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + g = 22, 4*g = -4*x - g + 26. Suppose 5*u - 35 = 4*i + i, -13 = -u - i. Let k(d) = d + 2. Calculate the remainder when k(u) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -274 - -275.1. Which is the fourth biggest value? (a) -1 (b) -5 (c) m (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 - 5*(-14 + 11) is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -120, 2 in increasing order.\nAnswer: -120, 0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 6*o - 13*o + 17*o - 260.\nAnswer: -3*o - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 133, 128, 121, 112, 101, 88?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w + 18. What is q(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28352960 and 38830.\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -343.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.143 centimeters in nanometers?\nAnswer: 841430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -3966.\nAnswer: 3975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*t + 45, 3*a + 50 = 4*t + 5*a. Let k = -7 + 12. Suppose -x + 5*h = 23, k*h = -2*x + x + 27. What is the lowest common multiple of t and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013989 to 6 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -18) + -5 + (-1 - 8) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 12*r + 32. Let h be q(-9). What is the third derivative of 15*k**2 + 37*k**3 + 0 + 4 - k**h + 17*k**2 - 30*k**2 wrt k?\nAnswer: -60*k**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -24*i**2. Suppose 3*r - 3*g - 30 = 0, 4*g = 10 + 6. Let s(v) = -3*v + r*v - 7*v + 2*v. What is s(t(l))?\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by 48?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*g**2 - 17163*g + 8581*g + 8582*g.\nAnswer: -166*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + k - 34*k - 18*k. Let r(o) be the first derivative of o**5\/60 + 5*o**3\/3 - 3*o + 3. Let p(w) be the third derivative of r(w). Calculate p(j(u)).\nAnswer: -88*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*r + 93 = -5, 5*c + r = 128. Suppose -w + 22 + c = 0. Suppose -88 = 2*t - 5*t - a, -t - 5*a + w = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + 8. Suppose -2*b + 9*b = 0. Solve -f*v + 5*v + 6 = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2502 and 539996652.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -211679 * 3\nAnswer: -635037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2845068567 - -2845002367.60059. Let j = z + 66200. Let m = -0.6 + j. Round m to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3145 + 3145. What is the closest to 4 in s, 0.399, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/653 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**2 + 0*v**2)*(-3 + 4 - 3) + (v + 3*v - 2*v)*(-6*v + 4*v - 7*v).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2545 divided by 5?\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u*u*u**(4\/5)*u**(-2)*u*u\/(u*u\/u**(-3)) assuming u is positive.\nAnswer: u**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91888007.\nAnswer: 479, 191833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114876 is divided by 320.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1197\/220 - -192\/55. Suppose -7*x + 30 = -2*x. Calculate the common denominator of d and 129\/x - (1 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58772102 to the nearest integer?\nAnswer: 7666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**0*w)\/((w*w**5*w)\/w))\/(w*w\/(w*w*w**(-2)\/w))**(-1\/26))\/(w\/w**(-3\/8)*w**(2\/5)\/w*w*w**(1\/8)*w*w\/(w**(6\/11)*w)) assuming w is positive.\nAnswer: w**(-5176\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5045 = -18*p - 1139. Let f = p + -81. Calculate the greatest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-12) - (-3)\/3. Let x = -2.96 - 0.04. What is the third smallest value in x, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 + -7a71?\nAnswer: -8046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88888940 and 588.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000100100110110011 (base 2) in base 4?\nAnswer: 20010212303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16212202 and 4?\nAnswer: 32424404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 228*t**3 + 4*t**2 + t + t - 224*t**3 + 5 - 3*t**4 in the form q + i*t**4 + g*t**2 + p*t + a*t**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:59 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-3*(-30)\/9). Let i = 43238 + -43239. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 500, 1160, 2084, 3266, 4700, 6380?\nAnswer: 8300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, -54, -564\/245.\nAnswer: -54, -11, -564\/245, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -11. Let j = 3 + b. Let n = j - -0.99995. What is n rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + t - 2, 0 = -4*z + z - t - 2. Let f(r) = 9*r - 1. Determine f(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5 + 246*m**4 - 5349*m**3 + 4616*m**2 + 10212*m = 0 for m.\nAnswer: -1, 0, 2, 23, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/110)\/((-4)\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/1188*11)\/(13\/(2925\/(-30)))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and -37\/20493?\nAnswer: 81972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vccvcvvvvcvccvcvcc. What is prob of sequence vcv?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 185, 195, 219, 263, 333?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134.9 minus -572110?\nAnswer: 573244.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (-6 + -16)) + (-5 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(19))*-5.\nAnswer: -5*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-4)\/12)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/6*(-3)\/2. Suppose -b + 4*o + 4 - l = 0, -2*b - 5*o + 16 = 0. Solve 8*w + 3*c = b*w + 11, 3*c - 3 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and 6964980 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47047849559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75*(2 + -3)*1. Let w = h + 108. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 60*r - 639. Let v be n(-27). Calculate the greatest common divisor of 1827 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-75)*984\/2952?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311 + -13?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 108*c**2 + 86*c + 1736. What is the tens digit of h(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3864 and 10470.\nAnswer: 6742680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13+-0.2679899686\nAnswer: -13.2679899686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83926794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 5. Let t be a(6). Let w be (4 - (t - 0)) + -1. Factor 5\/2*f**3 + 1\/2*f**5 + 0 + 0*f - 2*f**w - f**2.\nAnswer: f**2*(f - 2)*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953 = -5*l + q, -5*q + 775 = -l - 3*l. Let x = l + 353. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 314 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3518093879?\nAnswer: 557, 6316147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -9722 and -366 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-4) + 21\/(-14). Solve -2*p + y = -0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 5*z - 90. Let v be (-42)\/189 - (-58)\/z. Suppose 5 - 23 = -v*q. Put 1, q, -4 in decreasing order.\nAnswer: q, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((90\/(-42))\/3)\/(2\/4*-2)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -200323 (base 5) in base 15?\nAnswer: -1d28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:03 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002332 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 - 3*r**3 - 8*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9)*(3 - 0). Let m(i) = i + 4 - a - 1. Let x be m(2). Solve 0 = 4*b - u + 12, 2*u = x*b + 6*u + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1760*k**2*n**2*o**2 + 88*k**2*n**2*o - 9*k*n*o**2 + 20*k*n + 3*n**2*o**2 + 87*n*o**2 + o**2 wrt k?\nAnswer: -3520*n**2*o**2 + 176*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + -7 + 210\/14. Solve -4*m - 8*s + 7*s = 21, 4*s = p*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111090830 to the nearest one hundred thousand.\nAnswer: 111100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698 greater than 74.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 2*i**2 + 40*i.\nAnswer: -2*i*(i - 4)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453923273 to the power of 1\/2, to the nearest integer?\nAnswer: 21305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-4))\/((-27)\/(-18)). Which is the third biggest value? (a) -0.1 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -372, 1, -28 in decreasing order.\nAnswer: 1, -28, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*l - 92, 4*l - 4*x - 70 = 26. Calculate the greatest common divisor of l and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15582 and 2.\nAnswer: 15582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 36 - ((-13 - -2) + 3)) + 0 + 88?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156581440 and 1436.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 9*v + 10. Let z be m(-11). Let j = 13 + z. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b + 971 = 5*d + 32*b, -b = 3*d - 581. What is the remainder when d is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzcqt. What is prob of picking 1 t, 1 p, 1 z, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s**2 - 226*s**2 - 59*s**2 + 400*s**2 - 57*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrryyyewyryywyrwwy. What is prob of sequence rewr?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5644 is divided by 1853?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeekekeeekeeeekek. Give prob of picking 2 e.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 4. Let v be 165\/9 - 2\/(-3). Let h(c) = 3*c**2 + 2*c - 1. Let j be h(1). Suppose -5*p - v + j = 0. Give s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h - 169. Let l be f(-17). Solve 3*n = l + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72000 divided by -4800\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z - 1. Let r(i) = -8*i**2 - 1 + 0 + 7*i**2 + 7*i - 4*i. Let t(s) = -2*a(s) + r(s). Let u(w) = w**2 + 3*w + 1. Give 3*t(o) - u(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 627 - 627.349. Let l = p - -0.349207. Round l to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*n + 2426 - 665, -2*p - 2*n = 1190. Let c = -592 - p. Solve -3*j + 4*a - 13 = c, -5 = -j - 2*a + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 8372*n\/3 + 5130545\/6.\nAnswer: -(n - 301)*(n + 17045)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 15.939. Let q = 0.061 + r. What is the nearest to q in 2, -0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*q + 11376 = 1236*q + 74*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 11 + -3 - -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 9787 - 26300. Let l = 16482\/7 + a. Is -4 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.15, 634, -1\/6, -2\/13 in decreasing order.\nAnswer: 634, 1, 0.15, -2\/13, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-37)\/(-1) + 5 + (-5 - -3). Suppose a*o = 45*o - 435. Let u = o + -76. What is the least common multiple of u and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k + 12. Let b(w) = 17*w - 6. Let h(j) = 35*j - 12. Let q(d) = k*h(d) + 9*b(d). What is the tens digit of q(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -85, -165, -257, -349, -429?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - q = 245, -4*h = 4*q - 642 + 158. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 17 - 17 + 2*q)*(6*q - q - 3*q).\nAnswer: 4*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-9)\/((-567)\/(-36))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 6*q - 23*q)*(-2*q**2 + 0*q**2 + 0*q + 2*q).\nAnswer: 30*q**3 - 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-168))\/(6\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Suppose -3 = -v - 4*p - 0, -l*v + p + 36 = 0. Solve 0 = 2*i - 1 - v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 15, f: 5}. What is prob of sequence nfnn?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*a + 39*a - 49*a)*(-a + a - 2*a).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 9) to base 15\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/((-4)\/(-8)). Solve -k*h + 8 = -7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/9 + 82*d**3\/3 - 7126*d**2\/9 - 3430*d + 24696 = 0.\nAnswer: -7, 4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -887072 and -16.\nAnswer: -887088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 + 38*m**2 - 25*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3. Let i be u(0). Let v(y) = -2*y + i + 0 + 4*y. Let t(w) = -2*w. Calculate v(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h*h**(-6\/11)\/h)\/h))\/(h*h\/h**(-6)))\/(h**(7\/6)\/((h\/((h*h**(6\/11))\/h))\/h)) assuming h is positive.\nAnswer: h**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 64 = -114. What is the remainder when (z + 3)\/(-7) + (31 - 0) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -14 - (4 - -1)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 477*p + 477*p + 3*p**2 + (-6*p + p + 0*p)*(8*p + p + 3*p) in the form m*p + k*p**2 + i and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*y + 2*n + 17, 0 = 5*y + 2*n - 10. Suppose -y*q + 0*q = -84. Suppose -5*g = -25, -4*z + 7*g + q = 4*g. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853416377 to the power of 1\/3, to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 16*h - 22 = 0. Let u be ((-1)\/2*0)\/2. Solve 5*p + 2*s - 12 = u, h*p + 0 = -3*s - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 + 18*q**3 + 21 - 5 wrt q?\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -754337 (base 8) to base 6.\nAnswer: -5223131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.811 - -2.811. Let y = -0.2 - -0.1. Suppose 2*i = 12*i + 50. Which is the third smallest value? (a) p (b) y (c) i (d) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20)*s)\/s)\/(s\/((s*s**(-3\/10))\/s*s*s*s*s*s)) assuming s is positive.\nAnswer: s**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/103 (c) 0.3 (d) 2\/13 (e) -199\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*c - 25 = 0, -5*f + 2*c = -6*f - 3. Suppose f*u = -0*u + 1630. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/4)\/z*z\/z**(-2)*(z*z**1\/z*z*z)**(-2\/27) assuming z is positive.\nAnswer: z**(37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -400 - -431. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = n - 2, 2*n + 4 = h - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q - 48*q - 21*q + 126*q in the form k*q + g and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4 - 7 - 2*y - 2 - 2. What is the units digit of k(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*v*v\/v**(-22)*v)\/(v**(-1\/16))**21 assuming v is positive.\nAnswer: v**(597\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14560 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*v**3*w**2 - 2*v*w**2 + 2*v*w - 523*w**2 wrt v?\nAnswer: 54*v**2*w**2 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z. Let n(a) = -a**2 + 7*a + 1. Give 7*g(b) - 3*n(b).\nAnswer: 3*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**2 + 8*a + 195. Let n(p) = -19*p**2 - 14*p - 388. Give -4*n(o) - 7*v(o).\nAnswer: -o**2 + 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1405 or 7110?\nAnswer: 7110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-2*m - 1 + 1) + (0 + 2 + 0)*(-19*m + 4*m - 64*m)*(-2 + 1 + 5) + (-1 - 2*m + 1)*(-3 + 1 + 1).\nAnswer: -632*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 8\/13, -1.6, -1, 0.2, 43 in decreasing order.\nAnswer: 43, 8\/13, 0.2, -1, -1.6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -4) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = -w + 4, 5*w + k = 13. Suppose g + 3 = 0, -3*q + w = -0*g + 4*g. Suppose 0*o - 2*n + 10 = o, q*n + 3 = o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*z**3 + z**4 + 7*z**3 + 14*z**3 - 5*z + 1 in the form u*z + c*z**4 + p*z**3 + k*z**2 + a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31622154 to the power of 1\/2, to the nearest integer?\nAnswer: 5623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862 a factor of 18951205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p. Suppose -12*t = -8*t - 136. Suppose p = -q + t + 92. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 4*p - 5. Let i be g(5). Suppose 4*r - 5*r + 4 = i. List the prime factors of 519\/4 - -6*r\/(-32).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - 3*f + 0*f)*(-5*f + 4 - 4)*(6*f**2 + 2*f**2 - 2*f**2) to c + o*f**4 + t*f**3 + i*f + k*f**2 and give o.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95087120 and 2237344?\nAnswer: 190174240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.312 - -0.058. Let j = 6.93 + g. Let o = 7 - j. What is the third biggest value in 1, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*2\/(-32)*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -1\/120*w**6 + 0*w**3 - 31*w**2 + 1\/80*w**5 + 0 + 1\/840*w**7 + 0*w**4 + 0*w. Factor a(l).\nAnswer: l**2*(l - 3)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 7*t**2 + 4*t**2 + (-t - 2*t + 5*t)*(-t + 5*t - 2*t) + 3 - 3 + t**2 - 4*t**2 + 3*t**2 - t**2 + 10 + 11*t**2 - 10.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/63 of a week?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 5.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(252)*3)*-3)**2*3 + -4 + -2.\nAnswer: -48600*sqrt(7) + 1533594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725499 (base 11) to base 3.\nAnswer: 2012010112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.626064 to 2 decimal places.\nAnswer: 6.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 11 - 49 + 15.\nAnswer: -2*w - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1606 - -1610. Let i(w) = 6*w**2 + 9. Let s(t) = 3*t**2 + 4. Let c = 11 + -20. What is b*i(f) + c*s(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 222?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -14. Is 2 a factor of 4\/q - 315\/(-99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23376 = 88*d + 64*d - 159024. Does 43 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2\/15 + 2645696*m\/5 + 1587418\/3 = 0.\nAnswer: -1, 3968545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/((-2)\/(-1)))\/(4\/726*33).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 2. Let a be g(-5). Solve a*v - 10*v = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(189)*2)\/sqrt(7))\/(-1*sqrt(36)\/sqrt(4) + sqrt(81)*2)*-3.\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 627 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10119 a factor of 1829839008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1872 is divided by 255.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3347923780?\nAnswer: 2, 5, 167396189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(-2 + 6 - 3)*(-45*v**3 + 98*v**3 - 2*v - 46*v**3) in the form t + f*v**2 + b*v**3 + x*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5831.217 minutes to weeks.\nAnswer: 0.57849375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400 - -405. Suppose -n*b + 206 = -214. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 5. Let x = -19 + v. Let c(h) = -16*h**3 - h**2 + 1. Calculate c(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*s + 114*s + 32*s = 44*s + 6072 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/12 and -17\/30312.\nAnswer: 30312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 778*w**3 - 95*w - 97*w + 200*w + 37*w**2 + 380*w**3 wrt w?\nAnswer: 6948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 553\/6. Let d = 8 + -4. Let y = -4.3 + d. What is the nearest to -1 in y, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 0 = 5*m + 25, m - 3*p = 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = n - 48*z - 772, -111*z + 27 - 1 = -113*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {r: 7, j: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -254 + 2029. What are the prime factors of n?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-140)\/25) + 3)\/(12\/(-192))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.6, 7, 0.15, -0.3, 2\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from iqmmmimqqiiilmmq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4532 and -44044418.\nAnswer: -44044418.4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-189)\/(-540))\/(3\/60). Let h(l) = 2*l**2 + 2*l + 1. Suppose k + 10 = -4*k. Let t be h(k). Sort t, b, 0.\nAnswer: 0, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -778*l + 2214. Calculate the least common multiple of 20 and t(-18).\nAnswer: 162180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.425 * 0.62\nAnswer: -0.2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/35062?\nAnswer: 1\/35062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111426 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*c. Let k = -57 + -12. Let g = 95 + k. What is the highest common divisor of g and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 (base 10) in base 3?\nAnswer: 10201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/20 + 5*v**4\/12 + v**3\/6 - v**2\/2 + 3*v. Give k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -5*q**4\/12 + 3*q**2\/2 - 13*q. Differentiate a(i) with respect to i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-16)\/(-10))\/2. Let w be 2\/c - 14\/(-4). Suppose w*v + 63 = 6*v. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -d - 24, 5*d + 5372 - 5397 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222996 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*l**5 + 413*l**4 - 4*l**3 + 242156*l**2.\nAnswer: -600*l**2 + 9912*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -383, -1289, -3037, -5903?\nAnswer: -10163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118 + 14 = -92*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.9436 from 0.3.\nAnswer: -17.6436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -3. Let k = a - 2. Suppose -3*x = -c + 5*c - 30, -12 = -3*c + 3*x. Solve -4*z - k*s = -30, -s - 2*s = -c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -2581?\nAnswer: 2579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 + -194. Suppose -y - 37 = 5*o, 3*o - 117 = 5*y + 180. Let n = l - y. Sort -1, n, -4.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196303.\nAnswer: 196303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 601?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 883825 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*o*y**2 + 18*o + 1711*y**4 + 236 with respect to y.\nAnswer: -20*o*y + 6844*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/98)\/(6\/(-84))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -19. Let y = -123567\/13570 + 8\/1357. What is the common denominator of n + -4 + (-210)\/(-48) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(4 + -2 + (-144)\/57). Let j = 34 + u. Find the common denominator of j and -48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 - (3 + -2 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - l**2 - l + 14. Calculate u(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n - 5. Is i(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/57)*z**(5\/3))**(24\/7) assuming z is positive.\nAnswer: z**(744\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -18 + 6. Suppose -2*d = d - v. Let j = d - 2. Solve -j*s = -7*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/258 and -28\/5?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 + 24*w + 10. What is the remainder when u(-9) is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675*z = 676*z + 1558. Let r = 3141 + z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 16 = 4*c, 0 = -2*j - 226*c + 233*c + 37 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-70 - 2)\/((-69)\/92)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 187053*v**2 - 935172*v + 1122228.\nAnswer: -3*(v - 1)*(v + 6)*(v + 62346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -4.3. Let y be 4\/(-6) + 1\/2. Which is the third biggest value? (a) 4 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let k(j) be the second derivative of 7*j**4\/2 + j. Does 21 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 15. Solve -t*r - 1 = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 1\/7 (c) -1\/68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k**3 + 3*k**2 + 2*k + 11. Let m be r(-3). Suppose m = 7*p - 639. What are the prime factors of p?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(500) + ((sqrt(500)*-5 - sqrt(500))*5 - sqrt(500)) - sqrt(500)))\/((((-2*sqrt(100))\/sqrt(10) - sqrt(10)) + sqrt(10))*-4).\nAnswer: 775*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48745 + 5b6?\nAnswer: -4814b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 - 0.2. Let w = -0.082 - a. Let n = w - 0.00905. What is n rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 66694082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -849047.\nAnswer: -110376.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4281, 8581, 12893, 17217, 21553, 25901?\nAnswer: 30261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2 - 1. Suppose -6*u = -u. Let m(n) = 4 + 2*n + u - 4. Determine q(m(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83778186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 1. Let l(b) be the second derivative of b**2\/2 + 8*b. Let a(c) = 2*j(c) + 5*l(c). Find the first derivative of a(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -35. Let z(a) = 12*a**2 + 19 + 2*a + 14*a - a**3 + 3*a**2. Is 19 a factor of z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62253\/7 + -8893. Suppose -4*v = -5*v. Which is the nearest to v? (a) w (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24628 divided by 4\nAnswer: 6157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -1\/39*p**4 + 1\/195*p**6 + 0 + 1\/130*p**5 + 0*p**3 - p + 0*p**2. Factor j(h).\nAnswer: 2*h**2*(h - 1)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 4. Let c be b(3). Let t be (3985\/(-25) - -3)\/(1\/c). Suppose -263 = -5*x + t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 60*o**2 - 191*o - 120. Determine w(-63).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 11642967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12772 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -5*b**3\/6 - b**2 - b. Let j be h(-4). Suppose 0 = -2*p + 5*g + 19, 3*p - 3*g - j = g. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363741737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 18*p**2 - 45*p + 175. Is 25 a factor of y(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.28 - 45.69. What is the closest to 0.2 in w, -2\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 4 + 2 + 4 - 6 - 6*t**4 + 4*t**4 + t to b + h*t**4 + m*t + d*t**2 + a*t**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 70. Let n be 1\/5 - 7\/v. Suppose n*j + j - 24 = 0. Calculate the greatest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -43, -62, -89?\n\"Answer: -4*g**2 + g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 9*g - 12)*(2*g**2 - 4*g**2 + g**2)*(-5*g + 2*g + 5*g) as n*g**3 + s*g**4 + x*g**2 + h*g + j and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:34 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308 - 307.9869. Round x to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -36 - 1004\/(-36) - (-1)\/((-2)\/(-16)). What is the biggest value in -11, -2, -3\/5, b, -9\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i + 39*i - 246*i.\nAnswer: -191*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -605\/14 - -43. Let p = o - -5\/14. What is the third biggest value in p, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11742 from 1244037.\nAnswer: 1232295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -15, 1 in ascending order.\nAnswer: -15, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 453*x**2 - 85*x - 293. Is k(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40028745 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 70.5. Which is the closest to -4? (a) y (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -9, 1, -4 in increasing order.\nAnswer: -13, -9, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/37 + 173\/407. What is the nearest to 1 in m, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 663956869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175674820*m + 175674820*m - 400*m**3.\nAnswer: -400*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 11*r**2 - 7*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-5 - -7)) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22805208, -22805218, -22805240, -22805280, -22805344, -22805438?\n\"Answer: -x**3 - 3*x - 22805204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f + 16 = 0. Suppose 2*m - 4 = -3*s - f, -3*m + 4 = -s. Let d be (-12)\/(-36) - (m - 1). Which is the smallest value? (a) d (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270 - 185. Suppose 6416 = -o*i + 93*i. List the prime factors of i.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 + 500*d**2 + 11440*d - 54080 = 0. What is d?\nAnswer: -52, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 18, 13, -18, 0, 4 in descending order.\nAnswer: 21, 18, 13, 4, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 63\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367311020 is divided by 8162467.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1136, -3611, -6362, -9389, -12692, -16271?\n\"Answer: -138*i**2 - 2061*i + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let t be d(0). Suppose -t = -2*y - 3. Let g = -0.1 + -0.1. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*a**2 + 2*a**3 + 116*a**2 - 3 - 4*a**3 in the form n*a**3 + x*a + w*a**2 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 - 27*d + 86. What is u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 499.3585ug?\nAnswer: 0.4993585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -85787.\nAnswer: 4\/85787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 9) to base 5\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, and 1 u when three letters picked without replacement from ppubuxpufxxnn.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 40, -2*v + 450 = z - 6818. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/13, -1\/14, -2\/25, 53, 2\/11, 271?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/4, -1.7, 1, 9\/7, 2, 0.4, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309198.\nAnswer: 2, 3, 29, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02225 and -25467942?\nAnswer: 25467942.02225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34709\/50 or -695?\nAnswer: -34709\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:35 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.357 - 0.057. Let y = 3 - 8. What is the nearest to -1 in c, 0.4, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073229 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25980097537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -30566*p + 651. Let z(s) = -283*s + 6. Determine -6*c(o) + 651*z(o).\nAnswer: -837*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**3 + 4*y**2 - 14*y**3 + 5*y**3 - 5*y**2 - 3. Let i(d) = 1. Give 5*i(t) + z(t).\nAnswer: t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58693914 and 4662?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 333 - (-2)\/(6\/(2 - -1)). Let k = 802 - w. Is 52 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 30 - (-12 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1248 and 2288.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5841 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43795*x**2 - 49354*x**2 - 13671*x**2.\nAnswer: -106820*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12*t*t**(-2\/7))**0*((t*t*t**1)**(-2\/11))**(-29) assuming t is positive.\nAnswer: t**(174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujku. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 + 6*b**2 + 14 + b**2 + 7*b. Let i(y) = -8*y**2 - 7*y - 14. Let n(x) = 6*i(x) + 7*j(x). Let w be n(-7). Solve -2*o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 6*y**2 + y**2 + (y + 2*y - y)*(-3*y + 0*y + y) + 28*y**2 + 7*y**2 - 3*y**2 + (-2 + 5 - 4)*(-2*y**2 + y**2 - y**2).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/9, 5, -10, -8.2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-4) - 0) + -33. Let l be -1 - (5\/(-2) + 14\/u). Suppose 361 = l*s + 51. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 + 4*s**4 - 8 + 2*s**4 - 10*s**4 + s**3 to the form j*s**4 + i*s**3 + t*s + g + x*s**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22165*z - 192*z**4 + 51200 - 8473*z + 4*z**5 + 16260*z - 18080*z**2 + 761*z**3 + 2211*z**3.\nAnswer: 4*(z - 25)*(z - 8)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 119. Suppose -3*n + 1139 = 2*o - 8*n, 5*o - w*n - 2890 = 0. Suppose 2*p + o = 5*v - 503, -3*p = 3*v - 651. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990530 times 1?\nAnswer: 1990530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 90, 160, 238, 318, 394, 460, 510?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338859099 is divided by 2510.\nAnswer: 2509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1167*g + 120. Let u(z) = -817*z - 80. Let s(j) = 5*k(j) + 7*u(j). Let c(t) = -2*t. Calculate c(s(x)).\nAnswer: -232*x - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4922901934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89743678?\nAnswer: 2, 233, 192583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(5 - 15 - 8 + (-3 + 2 + 0)*(-1 - 1 + 1))*(0 + 0 - 3*z).\nAnswer: 102*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 128718838439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7106130 less than -7106129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2319 - 2177.3. Let x = -109 + j. What is x rounded to 0 decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1100) - (-3 + 1 + sqrt(1100)) - (0 + sqrt(1100) + -5 - sqrt(1100)))*1 + 4)**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 263 + 0.07.\nAnswer: 263.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2523017 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-27) - (-5)\/180. Factor -9\/4 - n*y**2 + 3\/2*y.\nAnswer: -(y - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 1 - 1 + (-2*b + 3*b + 0*b)*(-1 - 1 + 3)*(-6*b + 6*b + 8*b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1843?\nAnswer: -1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -929288122966 - -3?\nAnswer: -929288122963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let j(d) = 29*d + 4. Let b(k) = j(k) + 3*m(k). List the prime factors of b(1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 < -1003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Suppose -l*s - 2*s + 435 = 0. Let t = -42 + s. Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 125. Let f(x) = -1 - 162*x - 162*x + 1 + 325*x. What is f(d(w))?\nAnswer: -2*w - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5166)\/(-8148) - 2\/4. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*f - 20*f - 72*f.\nAnswer: 171*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = 165. Let f be o + 5\/(5\/2). Let y = -12 - f. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 460\/(-25) - (-2)\/5. Let u be 120\/9*p\/5. Round u to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**5\/60 - n**3 + 5. Let s(o) be the third derivative of q(o). Let a(i) = -2*i**2. Give a(s(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1974.265064 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 2*b**4 - 6*b**2 + 5*b**3 + 4*b - 6*b**3 + 0*b to the form x*b**2 + r*b**4 + p + m*b**3 + v*b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7327500.36 to the nearest 100000.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-18 - -22) + (-6 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 2) + 2 + 3 - (55 + -113)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 42 = 9*r. Calculate the remainder when (1 + -40)\/((-4)\/12) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 9*x**2 + 11*x + 4. Calculate the least common multiple of 6 and z(10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4901*y**2 + 2452*y**2 + 2451*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-25)*1\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**3 + 3*a**2 - 4*a + 3. Let p be y(2). Let m be (-12)\/4*300\/(-18). Let t = p - m. Calculate the remainder when 143 is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229860863.\nAnswer: 409, 562007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*w + 1630, -2*b + 363 = -w - 288. List the prime factors of b.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221\/630 + 22\/63. Is 2 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27 (b) -4 (c) -491\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 51, 29, -21, -111, -253, -459?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016050804 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p - 8. Let h(g) = -3*g**2 - 2*g - 23. Let z(m) = 6*h(m) - 17*t(m). Determine z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5 + 70542*p**4 - 3956972*p**3 - 12294148*p**2 - 12435222*p - 4168586 = 0.\nAnswer: -35327, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 times -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoccoucuecuuuu. What is prob of sequence oeu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f - 16. Let m be p(0). Let u(j) = -10*j + 342. Let t be u(29). Let o = t + m. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(-4 + ((2*sqrt(832))**2*5 - sqrt(832)))*5.\nAnswer: -332720 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -54*s - 77. What is the units digit of t(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/1*(-51756)\/1362?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3 + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3279.5653 + -856.0177. Let f = -4143 - o. Let m = 0.017 + f. Round m to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p**3 - 149*p**2 - 125*p + 24. Determine n(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3479*b + 0 + 3478*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -17*o**4\/24 + 3*o**2. Suppose -23*v + 26*v = 27. Let a(n) = 12*n + 10*n + v*n - 34*n. What is s(a(q))?\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from ecwkhxkkkwcechhhw.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 214 = -4*j - 0*j, 4*z + 2*j - 448 = 0. Suppose -m - 2*m - 5*k + 57 = 0, 4*m - 5*k = z. Let i be 58\/m + (-11)\/66. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**4\/24 - 4*b**3\/3 - 8*b**2. Let c(v) = -v + 7. Let q(u) = 7*c(u) + 6*r(u). Determine q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 - 31) + 0 - (608 - 611)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 201*m**2 - 67*m - 191. What is the thousands digit of b(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24022 - -4?\nAnswer: -24014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1 + (-4 + 3 + 3)*(0 + 1 + 0) + 5 - 2 - 4)*(8*d - 8*d - 6*d**2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 144*z - 499. What are the prime factors of r(20)?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 208377 - 208325 = 4*i, 5*q - 7 + 159 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -101*w - 100*w + 6 - 2*w**2 + 199*w. Let s(l) = l**2 + l - 5. Determine 3*d(p) + 4*s(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 4:10 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o + 2*o + 7*o - 6*o. Let x(d) = -2*d. Determine t(x(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -89594.481.\nAnswer: -89594.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 22*r**3 + 2*r**4 - 60764*r + 1 + 60764*r to the form p + s*r**2 + k*r**3 + f*r + y*r**4 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/((-3456)\/201) - (-10)\/(-12) and ((-3)\/22)\/((-2)\/(-30)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -43, -87, -169, -301?\n\"Answer: -2*z**3 - z**2 - z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3189 + -3190. Sort p, -5\/4, -2\/5, 4, -6\/23.\nAnswer: -5\/4, p, -2\/5, -6\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.086868.\nAnswer: -0.086868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 3, o: 2, i: 4}. What is prob of sequence co?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4250347, -8500965, -12751581, -17002195, -21252807, -25503417, -29754025?\n\"Answer: p**2 - 4250621*p + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 7*x - 5. Let h be k(-10). Calculate the greatest common factor of 75 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-26)\/338 + 43483\/143?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-22)\/6)*(-11)\/11. Which is the second biggest value? (a) 0.4 (b) p (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*h + y - 32, y + 19 = 2*h. Suppose 4*u = u - h. Let v = u + 79. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 12:59 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y = -6*y - 156 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.84 - -22.8163. Round p to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54593 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.703 - 1.203. Let p = 18.2 - 17. What is the second biggest value in p, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**3 - 5*k**2 - 139*k - 1. Let p(g) = 23*g**3 + 15*g**2 + 416*g + 3. Determine -10*i(v) - 3*p(v).\nAnswer: v**3 + 5*v**2 + 142*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**2\/2 + 2*k - 3. Let y(j) = -3. What is 3*p(b) + 2*y(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 181.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u - 2*v + 124 = -26*u, 86 = -2*u - 2*v. Is -39 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 8:54 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 16) to base 8.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 5*n**2 - 4*n + 2. Let o be (68\/10 - 3) + (-21)\/(-105). Let y be b(o). Put y, -1, 0 in increasing order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2. Let j be -4*(6\/4 - 2). Let i(u) = 2*u - 6*u + j*u. What is h(i(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1449a (base 16) to base 6\nAnswer: -1440414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Let x be v*(-1 - -2) - -2. Let j = -3 - -5. Solve 2*g = -x*z + 2, -3*z - j = g - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, e: 15}. Give prob of picking 2 e.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4267 - 1593. Is f a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -13320130100?\nAnswer: 13320130103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -708 greater than or equal to -703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and 73.268.\nAnswer: -3883.204","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 7*r**3 + 7*r**3 - 7568*r + 7573*r + 6 + 4*r**2. Determine i(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 15 + 5. Solve -v - g = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 253, 397, 541, 685, 829?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 > 217\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 9*t - 24*t**2 + 0 + 3\/2*t**3. Let z be y(6). What is the highest common factor of z and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 1, 17 in decreasing order.\nAnswer: 17, 15, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -56.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2*(h**(-12)*h)\/h assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*14*3\/6. Suppose -2*u = -35 + t. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -10*s**3\/13 + 164*s**2\/13 + 106*s\/13 - 68\/13 = 0.\nAnswer: -1, 2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6028.806 micrometers to millimeters.\nAnswer: 6.028806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 712261 + -712257. Let j(i) = i**2 + 2*i - 1. Let u be j(-3). Factor 8\/7*g**q + 4\/7*g + 0 - 8\/7*g**u + 0*g**3 - 4\/7*g**5.\nAnswer: -4*g*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2251294 + 13*b - 2251287 + 6*b - 14*b.\nAnswer: 5*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.4 + 1.4. Let l = -16 - c. What is the second smallest value in l, 5, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4 + 2. Let r(v) = -15 - 16*v + 8 + 4*v + v**2 + v**3 + 2*v**2. Let y be r(-5). Solve o*d - y*d = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 + -7 + 7 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -2*z. Calculate the remainder when 9 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaan when four letters picked without replacement from {a: 2, j: 4, q: 1, n: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*q**5 - 8*q - q + 9*q + (1 - 2*q - 1)*(q**4 + q**4 - q**4) + 6*q**5 - 11*q**5 - 11*q**5 - q**3 - q**5 + q**3 + 3 - 3 + q**5.\nAnswer: -35*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 31*h - 66 = 0. Let z(y) = -50*y + 51. List the prime factors of z(h).\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-8) - -2) + (-702405)\/(-573540)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 47*w**2 + 12*w**2 - 58*w**2.\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14162140 to the power of 1\/2, to the nearest integer?\nAnswer: 3763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1128 and 137.\nAnswer: 136.8872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 + 101 + (0 + -1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 - 1026*o**2 + 73581*o - 342630 = 0.\nAnswer: 5, 94, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(5\/7)\/s)*s\/(s\/s**(-2)))**(2\/7)\/(((s*s\/s**(-5))\/s)\/(s*s**12))**(1\/20) assuming s is positive.\nAnswer: s**(143\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1c20a71 (base 13) to base 15\nAnswer: c47b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-3)\/(-10))\/((-9)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose -i = j*i. Suppose i*z + 5*p = -3*z + 5, 0 = 4*z + 5*p - 15. Solve 0 - z = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299 - -107. Let h = z - -383. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 13*f - 17. Is u(-8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 9*d + 5*d)*(4 - 4 + 2*d)*(97 - 97 - 6*d).\nAnswer: 132*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-16)\/6) + (-41541)\/13620.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 2*p - p - 1 + 2*p + 1 + (2*p - 2*p + p)*(0 + 2 + 0))*(0 - 4 + 3) as a + s*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*r - 4, 0*r = 4*r - a + 6. Let k be r\/4 - 33\/(-6). Suppose 128 = -n + k*n. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**2 + 21*t + 1084. Determine q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -773 - -778. Calculate the lowest common multiple of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide ((-4)\/8)\/(5\/(-3370))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**1)**(-27)\/(u**(-1\/13)*u**(-1\/4)) assuming u is positive.\nAnswer: u**(-1387\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 + 4*r**3 - 56*r**3 - 49*r**3.\nAnswer: -113*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -123. Is -238\/3 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7445862 - 16?\nAnswer: -7445878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1108)\/(-831) + -8*25078\/(-12)?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(0 + 4 - 3)*(-107*w**4 - 45*w**4 + 21*w**4).\nAnswer: -131*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftftnpftotf. What is prob of sequence tf?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*c + 174*c = -16, -3*b - 13*c - 22 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215243 + -1?\nAnswer: -215244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 8*o - 39 + 19 - 26*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 5, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 1. Suppose 4*x = 7 - 3. Let l(k) = -k**3 + 6*k**2 + 5. Let g(m) = x*l(m) + 5*j(m). What is the third derivative of g(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*v = -187 - 258, 0 = 3*s - 4*v - 239. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-25) - 5\/25. Sort 1\/4, 1\/7, -0.9, g in decreasing order.\nAnswer: 1\/4, g, 1\/7, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -257*r**3\/3 + 22*r**2 - 177. What is the second derivative of p(n) wrt n?\nAnswer: -514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/4*(-6)\/63*28)\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 267. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25783 is divided by 143.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 162680 = -16*o - 12*o. Calculate the greatest common factor of 140 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304500 and 111650?\nAnswer: 3349500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + l)*(-3 + 3 + 2 + 4 - 2 - 1 + (1 + 1 + 0)*(1 - 2 - 1) + 3 - 4 + 3 + 1 - 2 + 2 + 4 + 5 - 2).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 0, 8*z = -2*y + 4*z - 1000. Let d = 492 + y. Solve -d*a = 3*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 4*z - 1. Let j = -17 + 17. Suppose 3*c - 4*k + 29 = j, -3*k - 2 = -8. Let v be (-8*1)\/(c - -5). Determine s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17780 and 8890.\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1 - 2*m**2 - 1 + 3*m**2 + m. Let o(j) = 2 - 1 - 3*j**2 - 2 - 2*j + 2. What is 4*b(p) + 2*o(p)?\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6699, 5, 3, -1, -2 in descending order.\nAnswer: 5, 3, -1, -2, -6699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.95 and -1273616.178.\nAnswer: -1273617.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/11 (b) -4 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 51*b**2 - 2*b - 3. Let a be q(-1). Suppose 7*l - 160 = a. What is the remainder when l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (0 - 2)) + 10\/(-45)*-54. Solve -5*j + 15*u - 1 = n*u, 2*j - 5*u + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383415*u**5 - 722587*u wrt u.\nAnswer: 7668300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3962, 7851, 11740, 15629?\n\"Answer: 3889*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 1, -3\/7 in descending order.\nAnswer: 1, -3\/7, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.6 and -61894790.\nAnswer: -61894788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(((-1798)\/31)\/29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691.9766 millilitres to litres.\nAnswer: 0.6919766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/25 and -42\/2081?\nAnswer: 52025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-3 - 25\/(-5)). Suppose 4*a + x*p + 2142 = -a, 3*p + 1290 = -3*a. Is (1\/(-4) - (-3)\/(-36))*a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365575454 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2\/11, -0.119, 0, -24068.\nAnswer: -24068, -0.119, 0, 2\/11, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 350?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29428 and 167496?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 25*m**7\/7 + m**6\/3 + 50*m**3\/3 + 35. What is the third derivative of h(c) wrt c?\nAnswer: 3000*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -3) + -1 - -2) + (98 - (108 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.04 - -0.04. Suppose 0*g - 20 = -5*m - g, 3*g = -15. Let q be 5\/15 - m\/9. What is the third biggest value in 7, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 38*a + 1 - 43*a + 4. Let j(s) = -s + 1. Determine -g(p) + 4*j(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v + 53 = -7 + 21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1300\/455*(-2)\/(-520)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/4 + 159*d**2\/4 - 471*d\/2 - 276.\nAnswer: -3*(d - 46)*(d - 8)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -200\/3. Let l = -18 - -21. Which is the closest to r? (a) -4 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 704926 + 704926.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858479.\nAnswer: 3, 7, 88499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 0 + (4 - -24). Let g = -10 + y. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 16 = -2*y, -8*s + 3*y + 11 = -9*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 48*k**2 - 101*k + 221. Is x(-50) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92619589 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 23*v**2 + 47. Let f(k) = -k**2. Let p(q) = f(q) + n(q). Differentiate p(s) wrt s.\nAnswer: 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 + -154.8. What is the closest to i in -3, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-3))\/((-23661)\/25812)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 1\/4 (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/13)*q)\/(q*q\/q**2*q))\/(q**(-5))**30)**(-5\/3) assuming q is positive.\nAnswer: q**(-9820\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6194, -0.4, 1\/3, 1 in descending order.\nAnswer: 1, 0.6194, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -16*x**2. Let s(t) = -49*t. Let p(g) = 48*g. Let r(h) = 4*p(h) + 3*s(h). Calculate i(r(u)).\nAnswer: -32400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*m + 60*m + 56*m - 250*m + 25*m + 56*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69734 and 11424.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(3 + sqrt(612) + -3*sqrt(612) + 2)*-1*-2 + 3)**2.\nAnswer: -105840*sqrt(17) + 2224809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13) + -2 - (-5 + 2*sqrt(13) + sqrt(13)).\nAnswer: -sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-12) + (-2)\/4. What is the tens digit of 11 + (-1 - (-2 - w))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 + u**3 - 5*u**3)*(3*u**2 + u**2 - 2*u**2) + u**5 + 0*u**5 + 0*u**5 - 3480 + 17*u**5 + 19*u**5 + 3487.\nAnswer: 39*u**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**4\/4 + i**3\/3 + i**2\/2 - 2*i + 1. Let g be v(2). Let o be ((-4)\/2)\/(2\/g). Solve 0*l - 12 = -o*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -151*l. Let v(p) = 341*p. Let y(i) = -11*t(i) - 6*v(i). Let q(w) = w. Determine q(y(m)).\nAnswer: -385*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -514, 52, -5 in decreasing order.\nAnswer: 52, -5, -514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12675 divided by 4\nAnswer: -12675\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 40. Give h(15).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*2 + sqrt(252) + sqrt(252))*1)\/((sqrt(108)\/sqrt(4))\/sqrt(3))*2.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827736789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/(-8) - (-771 + 770). Which is the third smallest value? (a) -6 (b) q (c) -1\/3 (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u - 78. Calculate the remainder when j(-16) is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 12. Let i be z(8). Solve 1 = i*y - 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 3\/2, 1.6, -0.11 in decreasing order.\nAnswer: 1.6, 3\/2, 0.14, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -170, -155, -126, -77?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - t - 6803 = 0, 3*t + 8509 = 20*r - 15*r. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5)*-2*-5.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 22. What is the units digit of o(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*q + 416 = -22*q + 2048 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*r - 2238 = 101*r + 1162 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -135, 81, 341, 651, 1017, 1445?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-93)\/(-9). Suppose -3*q - 2*q = -u. Suppose q*m + 56 = 6*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 5648*h**2 - 620160*h.\nAnswer: -4*h*(h - 1292)*(h - 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 5*y**2 + 3*y**2 - 11*y - 2*y**2 + 11. Is g(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.3493kg in milligrams?\nAnswer: 67349300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3 - 159*q**2 + 3*q**5 - 25*q**6 + q**5 - 4*q**5 wrt q.\nAnswer: -3000*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o - 0*o + v, -3*v - 17 = o. What is the units digit of (-290 - o)*2\/((-20)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340*15\/2100*(-2184)\/(-476)?\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/14)\/h)\/h)\/h)**(-42)*(h**(-24)*h)**(-2) assuming h is positive.\nAnswer: h**181","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 197, 789, 1775, 3155?\n\"Answer: 197*u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**4 - 320*t**3 - 3880*t**2 + 288000*t + 4050000 = 0.\nAnswer: -18, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -0.986\nAnswer: 0.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 14901*m**2 - 14903*m**2 - 1.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.05339444 to one decimal place.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25018 - -25020. Sort -7, 4, -1, y, -3 in increasing order.\nAnswer: -7, -3, -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 105, 161, 213, 255, 281, 285?\n\"Answer: -k**3 + 7*k**2 + 40*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33847)\/(-221) - (-2)\/(-13). Calculate the highest common divisor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from ckkqvvho?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 57*k**3 - 214*k**2 - 313*k - 63. Let q(u) = -18*u**3 + 71*u**2 + 104*u + 21. Let g(a) = -2*j(a) - 7*q(a). Solve g(m) = 0.\nAnswer: -1, -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - p + (33 + 24 - 34)*(-3*p + 3*p - p) to the form r + f*p and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/b**(-13))\/b)\/(b*b*b*(b\/(b*b*b**9))\/b))\/(b**(-1\/3))**(1\/50) assuming b is positive.\nAnswer: b**(3451\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 10:12 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 387*j**3 - 7294*j + 7294*j + (j**2 + 0*j**2 + j**2)*(-4*j + 5*j - 2*j) - 4*j**2 + 4*j**2 - j**3 + 4*j**3 + 7*j - 7*j.\nAnswer: 388*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*p - 304*p - 127*p in the form u + m*p and give m.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69473731 and 4787?\nAnswer: 4787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-15) + 39\/9. Which is smaller: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -20*x**2. Let i(c) = -30*c**2. What is l(i(d))?\nAnswer: -18000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from dnddddddnddn.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 22 = -3*y. Factor 4 - 5*v**4 + 2*v**y - v**5 + v**2 - 8*v + 4*v**3 - 6*v**3 + 9*v**3.\nAnswer: (v - 2)**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*s, -4*o - 2893*s + 2897*s - 52 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48c (base 14) to base 2\nAnswer: -1110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24614370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1343, 1491, 1739, 2087, 2535, 3083, 3731?\nAnswer: 4479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*n - 7 + 11 + 4 - 6 - 3*n**2 - 1 to g*n + y*n**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.233431 decades?\nAnswer: 0.2233431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2711142.\nAnswer: -5422284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -13233?\nAnswer: -13241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 34*x)*(-21*x**3 - 2*x**2 + 2*x**2) as l*x**4 + d + h*x + b*x**3 + q*x**2 and give l.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 720*g - 14872 = 0.\nAnswer: 22, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8 + 4 + 6*s**2 + s**3 + s + 7 + 4*s. Calculate r(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 6*g. Let t be o(6). Let i = t + -8. Let j = i - -29. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*i*m**3*t + 2*i*m**3 + 70*i*m**2*t + 2*i*m**2 - 206*i*m - 2*m*t wrt t?\nAnswer: 10*i*m**3 + 70*i*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 389, 785, 1349, 2087, 3005, 4109?\nAnswer: 5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, n: 2, s: 4, v: 5}. What is prob of sequence ssc?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {v: 3, s: 3, c: 1, a: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/759, 1\/19, -5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 - 8) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 6*c + 0*c + 2*c in the form u*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 529862, 2119527, 4768964, 8478167, 13247130?\n\"Answer: -w**3 + 529892*w**2 - 4*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 3, t: 2, g: 3, s: 1}. Give prob of sequence nt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(7)*5)**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1325, 2168, 3011, 3854?\nAnswer: 4697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -971.83567+404977\nAnswer: 404005.16433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9273, 8742, 8211, 7680, 7149, 6618?\n\"Answer: -531*r + 9804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - (-3504)\/64) + -3 + (-13)\/(-4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 343 - 120. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 - -130. Let b be (-3)\/f*16\/42. What is the third biggest value in b, 8\/5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389.479 * -0.265\nAnswer: 103.211935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(2 + sqrt(208)))**2 + -4.\nAnswer: 144*sqrt(13) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.37*-33.766\nAnswer: -12.49342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11467 - -46377\/4. Let d = i + -2633\/20. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(450)\/(-2*sqrt(10)))\/(sqrt(99)\/(-2*sqrt(11))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*u - 6, 0 = -2*u + 5*s + 89 - 146 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 1. Let w(j) = 3*j**3 + 2*j**2 + 4. Let z be 3\/10*565\/(-678) + 17\/4. Suppose -5 = -5*p - 0*p. Give p*w(g) + z*u(g).\nAnswer: 3*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399186250 divided by 194725.\nAnswer: -2050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-232))\/(((-78)\/(-52))\/(9\/3))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 87 = -4*p. Let q(w) = -w + 9. Let g be q(6). Does 6 divide p\/(-1) + (3 - g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/210*(-30)\/40.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - o)*(8*o**3 - 4*o**2 + 4*o**2 + (o**3 + 4*o**3 - 6*o**3)*(-2 + 3 + 2)).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r - 7. Let l be c(2). Suppose 8*t = 90 + 22. Calculate the highest common factor of t and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-198)\/9)\/((-1)\/2). Suppose -5*i + 33 = 2*v, 0 = -4*v - 3*i + 29 + q. Suppose 0*a = a - 3*x - v, 0 = 4*a + x - 89. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*a - 59*a + 1082856. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503440 (base 7) to base 13\nAnswer: -2ca88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**2. Let o(b) = b**2. What is o(m(l))?\nAnswer: 196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 1, y: 1, m: 4, z: 2}. Give prob of picking 1 m and 1 s.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43898 (base 11) in base 10?\nAnswer: 63632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**31\/(d*d\/(d\/(d*d\/(d*d*d\/(d**(-2\/5)*d)))))**(-1\/64)*(d**(-2\/9))**(6\/11)\/(d**(-1))**2 assuming d is positive.\nAnswer: d**(19939\/10560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51182 is divided by 403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4048077 is divided by 1011966.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let x be (40\/(-12) + 2)*3. Give y(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -3 - (-15)\/(2 + -5). Let g be (-1100)\/(-250) + ((-4)\/(-5))\/a. Factor 8\/5*q**g - 2\/5*q**5 + 4\/5*q**2 - 2*q**3 + 0 + 0*q.\nAnswer: -2*q**2*(q - 2)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 28*n**2 - 2*n + 234. Give f(-28).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k + 2*k + 1 - 6. Let y(m) be the first derivative of m**2 - 4*m + 49. Calculate 3*t(l) - 4*y(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(4*t - 5*t + 4*t)*(-2 + 0 + 3)*(t**3 + t**3 - t**3)*(6*t + 5*t + 3*t).\nAnswer: -84*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 p, and 1 h when four letters picked without replacement from {p: 2, h: 4, b: 1, a: 7, o: 1}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67851 divided by 22617?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 greater than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3700628840 to the nearest one hundred thousand.\nAnswer: -3700600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52918 (base 12) to base 4.\nAnswer: 122132210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030 - 1074 = -8*m. List the prime factors of m.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 5*f + 11. Let q be o(6). Solve v + q = -4*l, -3*v + 2 = -v - 4*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose -4*j = -a - 6. Let b be -13*(3 - j)\/(-1). Solve 3*p - b = -1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 62175520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7\/6))**43\/((w**5\/w)\/(w**3\/w)) assuming w is positive.\nAnswer: w**(-313\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.161 + 1.561. Sort 0.7, g, 0.3.\nAnswer: 0.3, g, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*p - 31 = 0, -q = p - 2 + 1. Suppose 2*z + 2*f - 274 = 0, 268 = 2*z - 2*f - q. Suppose 5*o - z - 148 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232323 - 2?\nAnswer: -232325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + 938106273 - 938106273.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(44) - (-2*sqrt(396))\/sqrt(9))\/(sqrt(4) + 6*sqrt(100)))**2.\nAnswer: 1584\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**4 + 10*s**3 + 39*s**2 + 7. Let p(l) = 3*l**4 + 3*l**3 + 13*l**2 + 2. Let k(i) = -14*p(i) + 4*v(i). What is the third derivative of k(d) wrt d?\nAnswer: -48*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 718335756 to the nearest integer?\nAnswer: 26802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 223.8003mm?\nAnswer: 0.2238003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) - 308\/(-70). Let g be 35\/11 + 2 - r\/22. Suppose 0 = -3*q - 3*t + 1005, -g*t + 2*t = 2*q - 672. Round q to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130764, -260787, -390810, -520833, -650856?\nAnswer: -780879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6138\/(-26598)*4\/(-3).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 59679.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*d + 24 = 82*d. Are -0.3 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from {q: 3, b: 1, j: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -21*(-2 + (-14)\/(-6)). Let q be 2\/3 - g\/3. Let v = 181\/4 + -45. Which is the biggest value? (a) -0.3 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 15. Let k = 4 - 4.6. Let i = k - -1. Which is the biggest value? (a) f (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -321*c + 40*c + 210*c + 53*c. Let y(j) = 363*j. Calculate r(y(i)).\nAnswer: -6534*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(5*y**3 - 5*y**3 - 2*y**4) - 2*y**4 + y**3 - y**3 + 36816*y**3 - 46*y**4 - 36816*y**3 + 1.\nAnswer: -44*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 186480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 17, 47, 99, 179, 293, 447, 647?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 31464*o**3 + 6307680*o**2 - 426406784*o + 9636711936.\nAnswer: 4*(o - 7662)*(o - 68)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23*p**2 - 34*p + 67. Let q be w(23). Suppose -37*n + q = -9*n. List the prime factors of n.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 56*r + 15. Calculate the remainder when (-1 - 14*2)*-2 is divided by q(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 4. What is the remainder when (0 - (-2)\/(-6))*-18 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3598460681\/3870 - -4649148\/5. Let u = 1\/774 + p. What is the common denominator of u and (-1 - (-228)\/27)*-1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/2 + 14*c**4 - 147*c**3 + 686*c**2 - 2401*c\/2.\nAnswer: -c*(c - 7)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 9 = 4*f - 31, 7*f - 241 = 5*a - 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11820b - 230?\nAnswer: 117b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - a**3)*(4*a + 2 + 0 - 3*a)*(-3*a + 34*a - 9*a).\nAnswer: -22*a**5 - 44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - f. Let z(v) = -5*v**3 - 5*v**2 + 4*v. Let b be (2\/(-4))\/((-1)\/(-2)). Let u(i) = -15*i + 521. Let y be u(35). What is b*z(t) + y*p(t)?\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Solve 3*l + 9 = a*i - 5*i, l - 3*i = 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98309787 by 64381.\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from hhuehhhghohhhuhboohh.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 times 0.5?\nAnswer: 384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cztuttw. What is prob of picking 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2462*g**2\/13 - 4*g\/13.\nAnswer: 2*g*(1231*g - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127726948 is divided by 31931734.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318931 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 - 20 = 62*s - 306 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114436516 to the nearest integer?\nAnswer: 10698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -96, -124, -178, -264, -388, -556, -774, -1048?\n\"Answer: -t**3 - 7*t**2 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d. What is the tens digit of z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -2, -3 in decreasing order.\nAnswer: 9, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 634, 1755, 3846, 7231?\nAnswer: 12234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/(-450))\/((4\/(-6))\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.185\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -619*j**7\/210 + 149*j**4\/12 + 5*j**2 - 14. Find the second derivative of r(q) wrt q.\nAnswer: -7428*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796361464 a multiple of 3604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5026, 20188, 45474, 80896, 126466, 182196, 248098, 324184?\n\"Answer: 2*l**3 + 5050*l**2 - 2*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9885 less than 1.259987?\nAnswer: 0.271487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 534404761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5) + 3 - 161\/138?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 34. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 47. Let t = f - -18.003. Let w = 6.703 - t. What is w rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-6)\/20 + -43 + ((-318519)\/(-135))\/47.\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2169904 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1899267115 + -0.057367.\nAnswer: 1899267114.942633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.45 (b) -1 (c) 4\/5 (d) 0.5 (e) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 359 and -4490.\nAnswer: -1611910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Calculate the greatest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.2 (c) -0.286 (d) -47\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - ((1 - -3) + -4). Let y(s) = -s**3 + 3*s**2 + 3*s - 1. Let u be y(2). Solve -p - u = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-3)\/(-44)*-1*473\/(-129)*2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 7*y - 3. Let j be z(-9). Suppose -108 = -7*d + 3*d. Calculate the remainder when d is divided by j*(0 - (-3)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171))**2 + sqrt(57)\/(sqrt(15)\/sqrt(5)) - (-5*((2*sqrt(114) - sqrt(114)) + sqrt(114)))\/(-3*sqrt(24)).\nAnswer: 16*sqrt(19)\/3 + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.9 = 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(171)*-3 + sqrt(171) + 6*((sqrt(171) - (sqrt(171) + sqrt(171)*-2)) + sqrt(171)) + 1)*-2)**2 + 2.\nAnswer: 1872*sqrt(19) + 115742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 17. Calculate n(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-3\/5)*m))\/m*m*m**1*m*m)**(-6\/7) assuming m is positive.\nAnswer: m**(-78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (12 - 8*9\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**5 + 10*s**4 + 18*s**3 + 14*s**2 + 9*s - 5. Let t(i) = 3*i**5 + 5*i**4 + 9*i**3 + 7*i**2 + 4*i - 2. Let b(o) = -2*n(o) + 5*t(o). Factor b(z).\nAnswer: z*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.98 - 7.1. Which is the fourth smallest value? (a) f (b) -0.1 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 20220920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 1813*n**2\/3 - 604*n.\nAnswer: -n*(n - 1812)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124591177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7899587 is divided by 10866.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211320031 (base 4) in base 5?\nAnswer: -302004400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:39 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008279 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 32*f**2 + 237*f**2 - 2.\nAnswer: 269*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329668.\nAnswer: 2, 73, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -12531?\nAnswer: -12522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 1, o: 3, v: 4, m: 1, l: 1}. What is prob of picking 1 l, 1 o, and 1 t?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-119) + 10\/14 + -1. Which is the smallest value? (a) -0.5 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 + -133. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, -6\/7, 0.5, -3200, 18, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.176*-0.538.\nAnswer: 0.094688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7) + (-28032)\/40880)\/((-1)\/(-15)) + 134.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - 2*y)*(39 - y - 1 - 10).\nAnswer: -2*y**2 + 56*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 64908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*n + 144 = 290*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1804*g + 2516*g - 142560 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 5*c**2 - 5*c**2)*(3*c**2 - 3*c**2 + 2*c**2 + (6 - 4 + 3)*(-13 + c + 13)*(c - 3*c + 0*c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/185, 3, 5, 96, 0.5 in descending order.\nAnswer: 96, 5, 3, 0.5, -1\/185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019162 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9710153\/37756854 + 2\/77689. Calculate the common denominator of -67\/3 and a.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfprq. What is prob of picking 1 f and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 7*d**2 + 5*d + 74. Let r be b(5). Solve r*w = 46*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-12)\/(-4)))\/((-3)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 231, 856, 1911, 3408, 5359, 7776, 10671?\n\"Answer: 2*b**3 + 203*b**2 + 2*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.736 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + -1*10. Suppose 3*w - 111 = 3*r, w = -r + 44 - 5. Let c be w\/10 - 2\/s. Solve m = -5*o - 13, c*m - 3*m - 2*o - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20057\/2 + -10073. Let o be (2701\/4)\/((-1166)\/4). Let g = o + 77\/53. Calculate the common denominator of b and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9422.583ml?\nAnswer: 9.422583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.1 + 20. Let s = p - 5.9. Put -3\/4, -4, s in descending order.\nAnswer: -3\/4, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**3\/3 - 3*f**2 + 5*f + 402. Determine y(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 - (2 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1976 = -90*r - 626 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/4 + b**4\/3 - b**3\/2 + b**2\/2 - 2*b. Let n be g(2). Is (-3 - n)*(-1)\/(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**9\/7560 - d**6\/144 + d**5\/12 - 6*d**2. Let j(v) be the third derivative of t(v). What is the derivative of j(o) wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -0.04, 88?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 4. Let g be y(1). Let u(v) = v**2 - 9*v - 5. Let h be u(9). Sort g, 2, h, 3 in increasing order.\nAnswer: h, 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*p + 3*p - 17*p + 2)*(-4*p**3 + 0*p**3 - p**3) as t*p + h*p**2 + n + a*p**3 + y*p**4 and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2777*d - 13877. What is r(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 - -102. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2043*y**4 + 92*y**2 - 5*y + 1.\nAnswer: 49032*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 759, 4, 0, -5, -18, -2 in decreasing order.\nAnswer: 759, 4, 0, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2304 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtzbpbm. Give prob of sequence bbpt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/6 + (-2)\/(-12). Suppose 16 = -4*f, d*a + 20 = 6*a + f. Suppose 205 = -a*m + 765. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -8, -46, -132, -284?\n\"Answer: -3*s**3 + 3*s**2 + 4*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -45*k**2 - 4*k - 27. Let c be s(4). Let f = 1909 + c. What are the prime factors of f?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4810960 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 6. Let t = -1 - c. Suppose 19 = -2*g + 21*g. What is the smallest value in t, g, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/12 - 4*g**3\/3 - 2*g**2. Let l be v(-5). Suppose 0 = 3*c - 4*c - 4. Sort l, c, -3 in descending order.\nAnswer: l, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -263?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40418891861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -51\/16 (c) 2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263 + 6*l**4 - 263 + (2*l**3 + 4*l**3 - 5*l**3)*(-3*l + 4*l - 3*l) + 2*l**2 - 2*l**2 + l**4 to t*l**3 + b*l**2 + j*l**4 + p + r*l and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611694?\nAnswer: 2, 3, 17, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 2*j**3 + 4*j**3)*(-j - j - 3*j + (1 + 1 - 3)*(-3*j + 2*j - j)).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/12)\/((-2)\/(-237)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507508624?\nAnswer: 2, 7, 4531327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2729, -5310, -7647, -9620, -11109, -11994?\nAnswer: -12155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*l**2*w - 2203*l**2 wrt w.\nAnswer: -124*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.17 - 13.17. What is the closest to -1\/3 in -0.3, m, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3006*n - 2923 = -135*n + 5690 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 - 6*o**3 + 36 + 5*o - 3*o**2 - 36 + o**3 + 2*o**2 to the form n*o + i*o**3 + h*o**2 + m*o**4 + k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31823\/12 + 2656. What is the common denominator of v and -2 - 5 - 244\/(-22)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -15. What is the second derivative of 4*n**3 + 3*n**b + 2*n**3 + 6*n wrt n?\nAnswer: 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t**2 + 7*t - 7. Let u be m(6). Let n be 4\/(-8) + (0 - u). Which is smaller: -7\/2 or n?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351600591, 703201184, 1054801777, 1406402370?\nAnswer: 1758002963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701 = -2*s - 58*s - 1819 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267792831 is divided by 980.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -395, 7 in decreasing order.\nAnswer: 7, -3, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - v + 16 = -13, 35 = 3*z + 4*v. Suppose 3*p = 7*p + 24. Calculate the remainder when (-36)\/(((-45)\/p)\/(-5)) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**3 - 2*i**2 - 5*i - 6. Let j(g) = -5*g**3 + 2*g**2 + 4*g + 5. Let q(u) = 5*j(u) + 4*n(u). Suppose -12 = -4*a - 4. Determine q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - x + 7*x**2 + 6 - 5*x**2 + 6*x**2. Let m be h(8). Let b be 19\/2 - m\/(-4). Solve 4*s + b = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:45 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/9 and (86\/(-6))\/(4\/(12\/(-11)))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -75 and -128 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.91, -2, 14.3 in decreasing order.\nAnswer: 14.3, 0.91, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.68? (a) -0.4 (b) 0.017 (c) -8 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*1*-3 + -1.\nAnswer: -30*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -16612?\nAnswer: -13\/4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g + 48. Determine h(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16557546 and 822.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/5)*y*y**(-1))\/(y**(2\/15)\/(y*y*(y\/y**12)\/y)) assuming y is positive.\nAnswer: y**(-173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12316 + 12316. Let c = -8 + 10. Sort 5, c, -2, f in descending order.\nAnswer: 5, c, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - 2*t + 2*t - 2*t. Let v(c) be the first derivative of -7*c**4\/24 + 33*c**2 + 27. Let y(p) be the second derivative of v(p). Determine y(k(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100122000 + -101?\nAnswer: -1100122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -133746 * -0.4\nAnswer: 53498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 104*a + 309. Let t be z(-3). Let g be 1*(4\/2 - 9). Let n be (t\/30)\/(g\/(-2)). What is the smallest value in 0.2, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 2*k**2 - 4*k**2 - 5*k**2 + 5*k**2 - 5*k**2 + (4*k - 7*k - 5*k)*(-4*k + 0*k + 3*k) + 2 - 2 + k**2 in the form l*k**2 + n + x*k and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/45 and 41\/48152484?\nAnswer: 240762420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -25. Suppose 2*o + 5*m - h = 0, 25 = 2*o - m - 59. Calculate the remainder when o is divided by 14 + (3 + -2 - (4 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15241663*m**2 - 24694256*m?\nAnswer: 30483326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 25717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143 (base 8) to base 14.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135683?\nAnswer: 241, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -613 + 553.1. Let l = 60 + n. Which is the biggest value? (a) l (b) 3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 851833023 to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-46251\nAnswer: -9712.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(97*w + 167*w - 649*w - 735*w - 431*w).\nAnswer: 3102*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21288 and 1.7?\nAnswer: -0.361896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -da?\nAnswer: d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133103 - 11?\nAnswer: -133120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 5. Suppose 10*p + 4*o = 5*p + 31, 5*o - 8 = 4*p. Let x(l) = -l - 4. Let t(m) = p*x(m) + 2*w(m). What is t(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*j)*(-7 + 4 + 2)*(-14*j - 6*j - 8*j).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x - x - x to t*x + q and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**0\/(w\/w**(-17)*w**17))**(-44) assuming w is positive.\nAnswer: w**1540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6.6. Let p = k + -0.40000084. Round p to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473073399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-4 + (sqrt(99) + 6*(-6*sqrt(99))**2 - sqrt(99))).\nAnswer: -128279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128)*2 + sqrt(128) - sqrt(128)) + -2 - (sqrt(1800) + 3 + -5)**2.\nAnswer: -1806 + 136*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.59 + 1.6. Let o = 53 + -267\/5. Which is the second biggest value? (a) l (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12213 divided by 15.\nAnswer: -4071\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-3*i**2 + 3*i**2 + 2*i**4) + 10*i**4 - 32*i**4 - 21*i**4 + (-1 - 2*i**2 + 1)*(-4*i**2 + 3*i**2 + 0*i**2).\nAnswer: -37*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/8)\/(15\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5 - 19 = 5*a, 5*a - 4*m = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723475 to the power of 1\/2, to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j**3 + 5*j**3 + j**3 + 3*j**2 + 4*j + 10*j**3 to a + k*j**2 + x*j + t*j**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiu. What is prob of sequence iu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-56))\/(222\/259)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6 = m, 0 = 4*w - m + 4 - 15 + 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-16)\/(-6)))\/((-165)\/22)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose -2*s - 4 = -m*t, 5*t = -3*s - 24 - 6. Is 2 a factor of 33\/6 + t\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.4 - 94.9. Let t = n + 87.4. What is the nearest to 1 in -0.5, t, 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**2\/2 - 3*x - 68. Let v(z) = -2*z**2. What is j(v(f))?\nAnswer: 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let i(p) = p. Let l(u) be the third derivative of u**5\/60 - u**4\/8 - u**2. Let o(w) = -6*i(w) - 2*l(w). Determine c(o(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6672.175 hours?\nAnswer: 24019830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g + 18*g + 7153*g**2 - 7787*g**2.\nAnswer: -634*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 64, 107, 150, 193?\n\"Answer: 43*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 22. Let k be -1*((-2)\/3 - 80\/(-120)). What is the nearest to h in 5, k, -14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 5*c + 5. Let u(o) = 14*o**2 - 21*o + 22. Let h(r) = 2*u(r) - 9*x(r). What is h(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600313 a multiple of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 29*b**2 + 8*b - 122*b**2 + 101*b**2 + b**3 + 8. What is g(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a - 5. Let i(c) = c. Let o(x) = -g(x) + 4*i(x). Determine o(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38350021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:33 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9934327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v. Let d(x) = -x**2 + 9*x - 6. Let h be d(8). Let w(o) be the second derivative of 1\/3*o**3 + 0*o**h + 0 - 3*o. What is k(w(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/45 - -11\/45. Which is the nearest to -1\/2? (a) 4 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 61 - 99 = 0. Solve 3*v = 4*h - q, 0 = -h + 4 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:32 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84579791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-125 + 117)\/((-2)\/(-3)). Which is the third biggest value? (a) 0.2 (b) f (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835863892 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5\/12*i**4 + 5\/2*i**2 + 1\/20*i**5 - 1\/6*i**3 + 2*i + 0. What are the prime factors of x(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 23, 10.9, 0.4?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7632 - -137287\/18. What is the common denominator of 137\/180 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 24*j + 728 = 0. Suppose 2*a + 165 = m, m - 3*a = 60 + j. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11252485 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 32. Let h = 629 + -631.97. Let y = h - 0.03. Which is the closest to v? (a) -4 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 59*n**3 + 3*n**2 + 6. Let t(j) = -118*j**3 - 6*j**2 - 10. Let v(p) = -5*q(p) - 3*t(p). What is the third derivative of v(o) wrt o?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 855, 957, 1059, 1155, 1239, 1305, 1347, 1359?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 61 = 49. Suppose 3*l = o*l + 2, 331 = h + 4*l. List the prime factors of h.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1730 and -65\/519.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.4639 to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazzzzctazt. Give prob of sequence ca.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1 = -j, -243*j = -125*j - 117*j - y + 5 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**3 + 2*h**3)*((4 + 1 + 69)*(3 - h - 3) + 2 + h - 2).\nAnswer: -146*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 6:10 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 - 331. Which is the second biggest value? (a) 3\/4 (b) 67 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020795 grams in micrograms?\nAnswer: 20795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 39 = -3*v, -4*v = 12 + 8. Solve -4*u = 2*x - r, u + 7 = 5*x - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 114.1.\nAnswer: 456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2016)\/(-54)*(-4)\/936 and -55\/13?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -40. Suppose q - s = -13. Calculate the remainder when 1568\/20 - (-24)\/40 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2560 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 58\/(-14))\/(22\/(3 - 1543)). Calculate the highest common factor of 8220 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-12)\/(-10)*(-145)\/116. Suppose 2*s - 5*w + 17 = -2*s, 5*s - 5*w + 15 = 0. Suppose -a*m = -8 + s. Calculate the smallest common multiple of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 4*o + o)*(-2*o + 3*o - 2*o) + (-2 + 2 - 1)*(17 - 17 + o**2) as q*o**2 + w*o + k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 28 = -10. Let v be 20\/12 + 2\/x. Suppose -55 = -3*d - v*a, -5*a - 16 = 4. Calculate the greatest common factor of 189 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 + o**2 - 6*o**6 + 5*o**6 - 6*o**6 wrt o?\nAnswer: -960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.062 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/316*37\/(-74)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.09888kg in grams?\nAnswer: 7098.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - q = -4, 3*m - 6 = 6*m + 3*q. Sort -2, -1, 4, m in increasing order.\nAnswer: m, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 9*l - 2. Let w be s(2). Solve -2*i + 5*i - w = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/7 + 4\/21. Let c be 10\/(-4)*(-4)\/(-2). Put c, s, -1\/3 in decreasing order.\nAnswer: s, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 6*h**2 + 6*h - 6. Suppose 0 = -15*u + 11*u + 56. Suppose 0*j - 2*j = -u. What is y(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 322455000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 54*b**2 + 30*b - 25. Let n be z(8). Solve 20 = n*t - 3676*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -29 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -1 + (-15 + 29 - -4 - 23)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9712 and 8498.\nAnswer: 67984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.075 - 0.025. Which is bigger: -85 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1229, 2458, 3687, 4916, 6145, 7374?\nAnswer: 8603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 14*z + 18. Let s be j(13). Suppose x + x - 32 = -w, -s*x + 5*w = -80. What is the least common multiple of x and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 7, -0.3, -59\/8 in decreasing order.\nAnswer: 7, 0.5, -0.3, -59\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1978561 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*c + 8, 4*f - 3*f - 3*c - 9 = 0. Suppose -t - 3*j = -3*t + f, 5*t - 30 = -3*j. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 18 = -4*a - 3*g, 0 = -a + 5*g - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44783?\nAnswer: 19, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 7781088.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -63844\/85 not equal to -750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a2 (base 13) in base 12?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 123 = 4*f + 211, -g + 69 = -f - 2*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84896 - 52138. List the prime factors of p.\nAnswer: 2, 11, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/15 - ((-56)\/6 + -2). Is (-35)\/(-140) + (14715\/a)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 10*i + 5*o = 0, 0 = -5*i + 5*o. Solve -n - 4*n = -4*p - 8, i = n - 5*p + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283802 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5564905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4 + 7488*b**3 + 670052*b**2 + 6856848*b - 7534384 = 0.\nAnswer: -74, -13, 1, 1958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2689*r + 131262 = -4129*r + 11742 for r.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i - 3. Find s, given that 35 - 172*s**3 - 25*s**5 - 115*s**4 - 15 - 3*s**3 - 85*s**i + 20*s = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43289716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15660273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/32 + 45\/32. Let i(k) = -2*k + 13. Let j be i(4). Solve -3\/2*w**j + 0*w + 0 + 3*w**3 - o*w**4 + 0*w**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161535 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/505 greater than 1572.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 5. Let n(p) = -3*p + 6. Let l = -117 - -112. Let y(q) = l*n(q) + 6*s(q). Let v(g) = 6*g**2. Give y(v(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -590626\/315 - -1875. Let n = s + -7237\/2520. Calculate the common denominator of n and -109\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38263 - 38211. Solve 41*m - 66 = p*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -423 + 422.823. Let l = -0.177 - z. Which is the nearest to l? (a) -2 (b) 0.1 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-5) - -11) + -4. Suppose 0 + 10 = -5*b, 4*q + 4*b - 172 = 0. Suppose 0 = 3*g - 6*g + q. What is the highest common divisor of g and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215348797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266734341.\nAnswer: 3, 163, 173, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((-1)\/(4\/(-6))). Let n = -4.7 + 57.7. Let u = 51 - n. Sort u, -5, b in descending order.\nAnswer: u, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1360990*f - 1671450.\nAnswer: 1360990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/180 - t**5\/60 + t**4\/12 - t**3\/2 - 4*t**2. Let d(b) be the first derivative of q(b). What is d(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k = 28*k + 21*k + 408 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -588 + 3052. Suppose 0 = -5*o + 9*o - w. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/8)\/((-3)\/6). Let j = -231 + 231. Which is the nearest to s? (a) j (b) 0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 + 1440*k + 39083. Determine u(-25).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2114424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -74.2. Let l = -109 + 120.7. Let n = l - 12. Which is the nearest to -1? (a) x (b) -2\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.96 + -0.04. Let q = f + 28. Let r = 3.00036 - q. Round r to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -85 (c) 1\/3 (d) 5 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -244, -663, -1250?\nAnswer: -2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-5 - -9) + -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -85. Suppose -u - 3*u - 31 = -o, 5*u + k = 2*o. What is the second derivative of 714 - 13*w**4 - o*w**4 - 27*w - 714 wrt w?\nAnswer: -432*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 328999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 12*c. Let u = 12 - 7. Suppose 0 = 5*j - j - 4*t - 36, u*t = -5*j + 5. Is w(j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/7 + 594*h\/7 - 52256\/7 = 0 for h.\nAnswer: -368, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 19*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + 174*z - 2120. Give n(16).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*v - 12554 = 3*b, -v = b + 4188. Let s = 29254\/7 + b. Calculate the common denominator of s and 9\/(-30) - 1 - 1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1640922*g - 6563738. Calculate m(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5608*p**2 - 107*p + 345*p**2 + 107*p.\nAnswer: -5263*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*f**2 - 57*f**2 + 15*f**2)*(-2 + 0 + 4) - 1 - f**2 + 1 - 2*f + f**2 + 2*f + (6*f - f - 4*f)*(-1 - 2*f + 1) to the form v + n*f**2 + u*f and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1173498 - -1784498. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -5*x - 4*u + 168, 6*u + 27 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -26\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.022316263 * 5\nAnswer: -0.111581315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12580, 25131, 37656, 50155, 62628?\n\"Answer: -13*t**2 + 12590*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.934 and 8293756?\nAnswer: 8293747.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(180)) + -1 + 4.\nAnswer: -5*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + 7. Let o(g) = 2*g**2 - 3*g**2 - g**2 - 3. Let a(q) = -2 + 14*q + 2 - 15*q. Let c be a(2). Determine c*u(w) - 5*o(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (3 + -4 - -3). Suppose 53 = 4*b - 5*m, 13 + 33 = 4*b + 2*m. Find the second derivative of 5*p**3 + d*p**5 - b*p**3 - 3*p + 7*p**3 wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 17*d**2 - 18*d - 7. Let x be y(-6). Let v = -78 - x. Let o(u) = -4*u**3 + 2*u - 1. What is o(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1661 + 1132. Suppose -4*i + d = 5*g - 3369, i + 5*g - 1533 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*m + 14 = -293*m + u, 3*m - 5*u = -2. Let c(o) = 6*o**2 + 3*o - 1. Let i(g) = -g**2 - 1. Let z(p) = c(p) + 4*i(p). What is z(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(6*10\/(-300)). Sort q, -1, 63, 5.\nAnswer: q, -1, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 15. Let w be g(6). Let h(k) = -k**3 - k**2 + k + 5. Let p be h(w). What is the highest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*l + 158*l + 45 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 24818 - 30236 = 78*z + 22*z for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 27*s + 65. Let a be p(29). What is the biggest value in 3, a, -1, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/19? (a) -1\/4 (b) -4 (c) 2 (d) 873.48 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose 44 = 4*i + z*h, 3*i + 5*h - 55 = -2*i. Let t = -40 - -61. Calculate the remainder when t is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/11 - 188*l**2\/11 - 400*l.\nAnswer: -2*l*(l + 44)*(l + 50)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1653 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 14) in base 6?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*x + 51 + 19. Let b(a) = 2743*a**2 - 5714*a**2 + 2819*a**x. Let v(n) = 4*n**2. What is v(b(k))?\nAnswer: 92416*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.13 (b) -1\/2 (c) 6475\/1644\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 9. Suppose s = 3 + d. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2422 and 252.\nAnswer: 43596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10221981 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-20))\/(5\/(20\/24)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360375202?\nAnswer: 2, 11, 911, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-45)\/(-24))\/((-10)\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1283 - 209 = -50*r - 142. Calculate the greatest common factor of r and 190.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d*h**3 - 105*d*h*i**2*z - 2*d*h*i**2 - 4*h**3*i**2 - 500318*h**3*z + 20*h**2*i**2*z - 2440*h*i**2*z wrt h.\nAnswer: 48*d - 24*i**2 - 3001908*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 5 (c) 2\/5 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14979963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -8 - -20) + (23 - 21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 2. Let u(v) = 7. What is 4*o(a) - u(a)?\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 16*x - 4. Let z be k(-9). Suppose -3*q = 11 + 4. Let m = q - z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6328.011341 - 6328. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*o**4*y**2 + 3*o**2*y**2 - 92*o**2 - o*y**2 + 34*o + 3*y**2 - y - 222 wrt o.\nAnswer: 240*o**2*y**2 + 6*y**2 - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1815 + 2775. Suppose -5*l + h = 4*z, z = -3*l - 3*z + 576. Is l a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 9*a**2 + 11*a - 8. Suppose -17*h - 7*h + 192 = 0. Determine r(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-4))\/(2\/(-6)). Let h = 16.3 - 3.3. Let s = -11 + h. Which is the third smallest value? (a) s (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300230340 (base 5) to base 3\nAnswer: 2012221210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-2\/17)*q)*q*q*q**(-9)*q**3\/(q*q\/q**(1\/9)))\/((q**(-1)\/q)\/(q**(1\/8)*q)*(q**(2\/9))**(-29)) assuming q is positive.\nAnswer: q**(3137\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -33436 at least -33437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1781 in 4153, -2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28046 or 28069?\nAnswer: 28046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11099.85 months?\nAnswer: 924.9875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7642, 7643, 7644?\nAnswer: 7645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 15 + 24. Solve 5*w + s + 15 = -0*w, -3*s = w + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1336.15199 - -618.15206. Let f = -718 - y. Round f to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 44*u**2 + 161*u + 235. Give r(20).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 256192517 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 3, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 6*f. Let r be o(5). Let u(j) = 1. Let g(d) = -2*d**2 + 2*d + 7. Suppose h - v = -0*h + 4, 5*h - 14 = 3*v. Calculate h*g(m) + r*u(m).\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12 - 45996*a - 16 - 28. Let k be t(8). What is k rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 1, m: 3, h: 4, p: 1, e: 1, d: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 636 (b) 0.05 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = q + 10, 3*q - 3*d + 23 = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-560)\/(-4)*((-1)\/2)\/((-90)\/72). Solve 0 = -27*b + 13*b - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92a8 (base 11) in base 7?\nAnswer: -50655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516980?\nAnswer: 2, 5, 25849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.4. Let s be (-1)\/2 + (-55)\/66. Which is greater: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x, 0*c + 4 = 2*c - 5*x. Suppose -c*j = -0*j + 5*n - 62, 0 = -4*j + 5*n + 124. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -66 - 102. Let m = l + 74. What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20680 (base 9) in base 13?\nAnswer: -62c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 4. Let z(m) = 6*m - 20. Let i(b) = 22*s(b) - 4*z(b). What is i(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:15 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3417*s - p = 3421*s - 25, 3*p = -4*s + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.09 - 0.09. Let d = 0.9 - -0.1. Suppose -17 - 31 = 48*u. Which is the nearest to q? (a) -0.01 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.209 - -0.2. Let p = -0.008838 - a. Round p to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*r + 5. Suppose -4*p = i - 12, -4*p - r*i = 2*i - 28. Suppose -4*f + p*f = -100. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/14)\/((-3)\/(-84)). Let j be q\/56 - (-1)\/(-7). Let t be (j - -2)\/((-1)\/(-2)). Solve -6*n = -t*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 11*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 833 + -828. Suppose 4*t + 458 + 230 = 0. Let n = 1894\/11 + t. Sort n, x, -4.\nAnswer: -4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79\/33 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67286.\nAnswer: 2, 17, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/88 - 1)\/(34\/1309).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 30. Solve -w = o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 363305.633 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1241 divided by 328.\nAnswer: -1241\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0370041 and 4.19?\nAnswer: 0.155047179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-44) - 13\/(-4). Suppose 31 = -i*k + 61. Suppose 8*q - 30 = 3*q. Solve q*n = n + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-6)\/2 + -3. Let y = 1 + n. Is (1*77)\/(0 + y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 15. Let m be j(-7). Does m = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-42)\/w**(-22\/5))\/(w\/w**(-7))**(-22) assuming w is positive.\nAnswer: w**(692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3 + 36*s**2 + 141*s\/4 + 35\/4 = 0.\nAnswer: -35, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14261 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 + 12704*i**3 - 1469528*i**2 + 44022496*i - 42565668 = 0 for i.\nAnswer: 1, 59, 3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-517)\/55 - -10)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 12:58 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309929 and 48573?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0536806 take away -10096.991?\nAnswer: 10096.9373194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 23. Suppose 7 = g*n - 33. Factor 59*w**3 - 20*w**2 - 52*w**3 - 27*w**3 - n*w.\nAnswer: -5*w*(2*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*r + 60*r + 27*r to the form f + y*r and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -5\/3, 1\/6, 4\/5, 0.1 in decreasing order.\nAnswer: 4\/5, 1\/6, 0.1, -2\/3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2396, 2684, 2666, 2342, 1712, 776, -466?\n\"Answer: -153*w**2 + 747*w + 1802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + a - 48 = -2*a, -3*z + 5*a = 52. Let i(g) = -g - 9. What is the remainder when (3 + -2)*(-3 - -10) is divided by i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 828\/(-26) - (-6)\/(-39). Let w be (-2)\/(n\/322) + -1. Let p = 69\/8 - w. What is the common denominator of -1\/12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382089 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z + 1983 = -z + 2487. Let u(k) be the first derivative of -z + 256\/15*k**3 + 36\/5*k - 96\/5*k**2. Factor u(o).\nAnswer: 4*(8*o - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q - 7*q + 0*q + (-1 + 1 - 2)*(3*q + 4*q - 5*q) - 4*q - 3*q + 4*q)*(-126 + 498*q + 262 - 138) in the form u*q**2 + g + y*q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5\/17 + 46*j**4\/17 + 58*j**3\/17 - 26*j**2\/17 - 62*j\/17 - 20\/17 = 0.\nAnswer: -10, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*0.22099.\nAnswer: -6.18772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -181, -572, -1327, -2566, -4409, -6976, -10387?\nAnswer: -14762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1\/5 (c) 4 (d) -0.1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v - 24*v**3 + 39*v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5962 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7123*d**2*t - 393514540*d**2 + 17054*d*t wrt t.\nAnswer: -7123*d**2 + 17054*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13\/2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 88235076 divided by -3\nAnswer: -29411692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 8 - 38. Let v be (-38)\/(-14) + r\/21. Solve m - 2 = -v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -36. Suppose -2*a + 0*a - 3*h + 12 = 0, -2*a - 4*h + 12 = 0. Suppose 3*c - 1 = k, 5*c + 3 = 2*k + 4. Solve -l*o + k = -a*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*j - 457 + 37, -525 = -5*l - 2*j. Calculate the remainder when l is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432413 - 1?\nAnswer: 432412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {e: 9, j: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*z + 86 - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -494 + 542 - (3 + -1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27431*c**2 - 3*c + 342530 wrt c.\nAnswer: 54862*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465580, 931167, 1396754, 1862341, 2327928?\nAnswer: 2793515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138394813097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/40 + 45\/(-9).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 + 236. Let j = -23 + d. Suppose i = -i - 5*k + j, 3*i = k + 93. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -0.2, -6, 32\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 7838*z**2 + 31340*z - 31336.\nAnswer: (z - 7834)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 6*p**2 - p - 7. Let o(b) = 7*b**3 + 11*b**2 - 2*b - 13. Let a(m) = 2*o(m) - 5*z(m). Let k be a(-8). Solve 0 = -2*q + 3*q + k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 20 + 8 + 11 - 12*h. What is the units digit of d(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 5*k**2 + 3*k + (-4*k**2 - k**2 + 3*k**2)*(-1 - 4 + 6).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -47770\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10*s + 44 = 0. Calculate the remainder when s is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 402894, 805796, 1208696, 1611594?\n\"Answer: -n**2 + 402905*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 73 + ((-1 - -23) + -20 - 7)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:34 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = w + w. Let n be 3\/(w\/(25\/(-3))). Suppose n*c + 20 = 0, c - 6*c = -5*u + 975. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 30 = -3*o. Suppose o + 10 = 3*w. Differentiate 2 + 4*z**2 - 7*z + w*z with respect to z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t + 1229. Is z(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -u + 173, 0 = -2283*f + 1133*f + 1143*f - 3*u - u + 608 for f.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.74.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 36. Suppose -5*f = -10 - n. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00626 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**14*d)*d**11 assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-160)\/(-35) + -4)*(-14)\/(-4). Let i(d) = -4*d - 3*d**3 - 6*d**j + 0*d**3 + 3*d**2 - 2 + 4*d**3. What is i(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3782086?\nAnswer: 1\/1891043","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*f - 0*g, 4*g = 4*f. Let r = f - -2. Find the second derivative of -3 - o**2 + 3 - r*o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -17.978. Let s = -4197.7219949 + 4197.7. Let n = f + s. Round n to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2. Let n(x) be the third derivative of -x**5\/12 + x**3\/2 + 40*x**2. Calculate c(n(j)).\nAnswer: -50*j**4 + 60*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a**3 + 23797*a**4 - 11894*a**4 + 12*a**2 - 11900*a**4 = 0 for a.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 6*u + 34. Let n be (-10)\/(-4 + 8\/4). Suppose n*k - 4*i + 2*i = 55, i = 3*k - u. What is the remainder when 36 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41250819 divided by -141\nAnswer: 292559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 41 = -3*y, 26*j + 34 = 31*j - 2*y. Let o be 2\/1*4\/2. Solve o*l = -j - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 0 + -2 + 0. Is (11\/3)\/(d\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + 0.5. Let g = -5 - i. Let w = 5.04425 + -0.04425. What is the fourth smallest value in w, -4\/3, g, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/987? (a) -1\/2 (b) 4 (c) -5 (d) -0.1 (e) -4\/7 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 + 19*l**2 + 7*l - 12. Let v be m(-5). Solve 0 = -7*i - v + 4 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.10835 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 3:08 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5*3)\/(2*66\/(-880)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3596b53 (base 12) to base 9\nAnswer: 21512130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 20*i**2 + i - 3. Let m = -10 + 7. Let q be k(m). Suppose -6*r = -600 + q. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120475062 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780004 - 780004 - 183*t.\nAnswer: -183*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1316, -0.3, 0 in decreasing order.\nAnswer: 0, -0.3, -1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*r - 113*r**2 - 13*r - 8*r)*(2*r**2 + 3*r**2 - 4*r**2).\nAnswer: -113*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v\/v**0)\/v))\/v**(5\/4))\/((v*v**8)\/(((v**(-2\/11)\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-635\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 20*b - 11. Does 8 divide d(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2415 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) 4\/3 (c) 0.1 (d) 16 (e) -1\/3 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, -391, -1, 0 in descending order.\nAnswer: 0, -1, -185, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.379 - 5.621. Put -0.04, -5, -3, d in decreasing order.\nAnswer: -0.04, -3, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = -2*x + x, 2 = -2*p - x. Let s = 182 - 180. Solve p = s*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -80, -49, 4, 85, 200?\n\"Answer: p**3 + 2*p**2 + 2*p - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -552506 at least as big as -552506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76574906584590*b - 3*b**2 - 76574906584590*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000929 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7090 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*h - 456 = -114*h. Does 170\/3 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 1. Let x(c) = -4*c - 2 - 2 + c + 0*c**2 - 4*c**2 + c**3. Let u(n) = 4*v(n) - x(n). Find the second derivative of u(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519815.7 seconds to nanoseconds.\nAnswer: 519815700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c**2 - 5*c + c + 4*c as k + q*c + j*c**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 158*z + 2826. Determine q(138).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68630758*m**2 - 89814031*m wrt m?\nAnswer: -137261516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 - -23.0236250968\nAnswer: 23.4436250968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -326*j**3 + 1322*j**2.\nAnswer: -1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i - 5. Suppose 13*p = -239 - 333. Let s = p + 50. Let n(q) = -q - 1. Give s*n(c) - m(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 32065*r**3 + 128175*r**2 + 32065*r - 128180 = 0. Calculate r.\nAnswer: -1, 1, 4, 6409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 - r**2)*(0 - 3 - 17) + (-3 - 2 + 3)*(r**2 - 4*r**2 + r**2).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (52 + -50)*9604\/(-392)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:57 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 3, c: 1, h: 6, e: 4, x: 1}. What is prob of sequence ec?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 6685 (b) -27 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4610 plus 3428599372?\nAnswer: 3428594762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -718719 divided by 107?\nAnswer: -6717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 2. Let q be o(0). Suppose -3 = -5*p + q. Solve -p = s - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 36 - 7)*(3 + 0 + 2)*(-44 + 44 - 12*p**2) as l*p**2 + r*p + o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d + 4. Let j be g(3). Suppose -5*n + 4*m = 30, m = n + 7 - 1. Let y = n + j. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.63 + 54. Let u = m + -0.07. Let y = 4 + -4. What is the smallest value in 1\/7, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqzqazqiikqmziii. What is prob of sequence imz?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-910)*21*4\/(-75)*180\/(-72)\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*y + 53 - 91 = 0, 28 = 2*v + 4*y. Suppose 11 = 5*d - 9. Find the second derivative of 9*s**d - 4 + 6*s**2 + 3 - 9*s**v - 3*s - 1 wrt s.\nAnswer: 108*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 2992640*g + 29926800.\nAnswer: -4*(g - 10)*(g + 748170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -447\nAnswer: 89.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*s**3*y + 148*m**3*s**3 + 5*m**3*s**2*y**3 + 16*m**3*s**2*y**2 + m*s*y**2 + 2678543*s**3*y**3 + 2*s**3*y + 23*y wrt y.\nAnswer: 30*m**3*s**2 + 16071258*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10401 (base 5) to base 4\nAnswer: -23112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1587075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1503 + -33139\/22. Find the common denominator of -71\/4076 and f.\nAnswer: 44836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -796 divided by -199?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 - 3*u. Let f(y) = -y**2 + y. Let x(m) = m**2 - m - 1. Let z be x(3). Suppose 0 = 2*r + 2*b, 4*r + z*b = 3 - 4. Determine r*n(p) + 3*f(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 33*l + 23*l + 9*l + 16*l.\nAnswer: 81*l - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 3321?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*6\/4)\/((-4)\/12). Let p be 561\/2 + o\/90*-5. What is the greatest common factor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 71*z**2 + 339*z + 8. Calculate x(5).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -211*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 6)*(9*c**5 + 40*c**2 - 40*c**2) + (0 + 0 - 2*c**2)*(-17*c + 17*c - 4*c**3).\nAnswer: 44*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 334b (base 13) to base 5\nAnswer: 212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 394\/3 - (3 + (-8)\/3). Suppose -7*j = -2*j - 2*o - 790, -5*o = j - p. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m + 2*m - 6*m)*(3*m - 125 + 237 - 121) to the form w*m + u*m**2 + c and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1.55 (c) -0.2 (d) 1\/6950\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-1))\/(-1) + -7. Let a(o) be the first derivative of -1 - 3*o**2 + o - 1\/3*o**3. Give a(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 160 = 46. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 9 - 7 + 30*w**2 - 4*w + 3*w - 8*w.\nAnswer: 30*w**2 - 9*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.6 - -2.8. Let w = -3.2 + t. Do w and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 233 and 1?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54.4 + 55.4. Let n = -0.36 - -0.06. Let k(f) = -f + 1. Let h be k(5). Which is the second smallest value? (a) h (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 0 + 98\/10 + (-2)\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10585848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94962046 to the nearest integer?\nAnswer: 9745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + 31. Let m be -1 + 1 - -2*i. What is the common denominator of -51\/16 and 614\/m - (-36)\/84?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 198*f - 807. Determine b(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8933 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r - 5*v, -3*r = r - 5*v - 6. Suppose -5*m + 10*m + r*a - 27 = 0, -m - 4*a = 1. Solve 0*g - 12 = 3*g + q, g - m = -4*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m**5 - 29*m**4 - 385*m**3 - 485*m**2 - 151*m + 2. Let u(a) = 4*a**5 - 13*a**4 - a - 1. Let s(j) = -6*u(j) - 3*z(j). Determine d so that s(d) = 0.\nAnswer: -17, -9, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/5*23\/2 and 2160\/(-32)*2\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/12)\/((-14)\/16). Let s = -716\/7371 - -2\/1053. What is the second smallest value in j, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23470171 (base 8) to base 12\nAnswer: -187aa75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1671305035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 13*x**2 + 898. List the prime factors of l(0).\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 14*f + 159. What is the remainder when 56 is divided by i(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l - 3. Let q(p) = 23*p + 11. Let i(a) = -6*q(a) - 22*s(a). Let t(n) = -150 + n + 150. What is -2*i(o) - 11*t(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10110110110?\nAnswer: -10110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4 - 3404720*g**3 - 93*g**2 - 29048*g wrt g?\nAnswer: 72*g - 20428320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -146, -223?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22864 rounded to 3 dps?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 11:42 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-66)*8\/(-5))\/((-1638)\/(-1287))\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 0.1, -1\/8, -2 in descending order.\nAnswer: 0.27, 0.1, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -417251 (base 8) in base 9?\nAnswer: -231506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 30 = -5*u. What is the remainder when 77 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 31. Let i be t(10). Let n(b) = -2*b + 13. Let w be n(7). Let a be (i - w - 0) + 4. Solve -3*h + 7 = -3*p - 14, -4*h + a = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 35669 = 16281. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/((-924)\/(-429)))\/(2*2\/(-16)))\/2.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/4 of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49024957*u**3 + 107863667?\nAnswer: -147074871*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 - 829. Let t = m - -3459. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -48 - (0 + (1 - (-1 + 3)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4548 minus -1?\nAnswer: -4547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 103*i**2 + 8*i + 4. Is 12 a factor of a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {d: 5, y: 9}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 38396\/7, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 2, q: 1, r: 1, i: 2}. What is prob of sequence gqr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589864606 to the power of 1\/3, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 11. Suppose 5*l = z*l - 540. Let o = -83 - l. Calculate the remainder when o is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 639138461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2 (b) 1628 (c) 0.541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.795303 to 3 decimal places.\nAnswer: -1.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/7 - 2\/(-14)*23.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 201*w + 1211. Let g be v(-6). Solve 20*l - g*l + 90 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/18*2052\/(-114)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = t - 43, 4*t - 3*h - 186 = 31. Let p(f) = 2*f**2 + 7*f + 2. Let b be p(-7). Is t >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1324*m - 23820. Determine z(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**3 + 2*z**2 - 3*z + 6. Calculate h(3).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u - 4. Let m(s) = 17*s - 6. Let o(i) = -4*f(i) + 3*m(i). Give o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133404239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4) - (-1 + (-1)\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let r(n) = n**2 + 7*n - 15. Let v(w) = 6*o(w) - r(w). Let f be v(-14). What are the prime factors of 0*f\/(-3) + (-101)\/(-1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 451.0965 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 6*q + 12, 57273*y = 57275*y + 2*q - 118 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*j + 3 = 0, -4*n - 3 = -j + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9039251 (base 10) in base 3?\nAnswer: 122000020112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 11*g**2 - 10*g - 5. Determine o(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12231 - 16\/(-56)*7.\nAnswer: 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f + 2229. Let l = -224 + f. Suppose -4*u + l = 4*t + t, 3*u = -4*t + 388. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 839922 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 445602153 - 3?\nAnswer: 445602150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91175422 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068*m - 1066*m - 2*p - 125430 = 0, -4*m - 2*p = -250836. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950)*6)\/(sqrt(22)\/(sqrt(11) - sqrt(99))).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 1 + (7 - 3). Solve -5*r + 20 = 0, 5*j - h = 2*r + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -0.5, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b. Let n(p) = 370*p**2 - 2. Calculate v(n(d)).\nAnswer: -1480*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.5, 52, 0.6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350765 and 730?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2098 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 812874 and 3?\nAnswer: 812874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.24, -6, 4 in decreasing order.\nAnswer: 4, 0.24, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 22. Suppose -11 = -4*j - 0*j + 3*p, w*j - 4*p = 8. Factor 1\/2*r - 1\/2*r**3 + 0 + 1\/4*r**j - 1\/4*r**4.\nAnswer: -r*(r - 1)*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkqkkkkwkkwk. What is prob of picking 2 w and 1 q?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 505.9785 to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w**(2\/17) assuming w is positive.\nAnswer: w**(-185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103671*x + 240424*x + 130481*x.\nAnswer: 267234*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 322 = 7*m. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.4183 - 0.048.\nAnswer: -8.4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 - 60?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 5*n**3 + 5*n**3 + (2*n**2 - 2*n + 2*n)*(1 + n - 1)*(-1 + 4 + 0).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -506103 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + 58?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1137073 (base 10) to base 7\nAnswer: 12444040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1523*b**5 + 274*b wrt b?\nAnswer: 30460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541 + 3078 - 9*z**3 + 0*z**3 - 1541.\nAnswer: -9*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.48 times 3.9\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*o - 155*o - 4*q + 1185 = 0, 4*o + 3*q = 1587. Solve -369 + o = 10*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 219820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18000 and 259515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 + 102*q**3 + 1119*q**2 + 4284*q + 5292 = 0. Calculate q.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616899 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/9, 0, 1804, -5, -12.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let o be 2 + (-104)\/x + 2. Let m be 3 - 4 - (o + -1). What is the greatest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 4334298.\nAnswer: 21671490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -307 - -639. Let v = h + -331. Which is the third smallest value? (a) -3 (b) v (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932429608 to the power of 1\/3, to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, f: 9, p: 1, l: 1}. Give prob of picking 1 l and 3 s.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9)*18\/4. Suppose -x*n + 86 = -40. Suppose -p - 100 - 90 = -4*j, 0 = j - 3*p - n. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 1\/6*x**4 + 1\/2*x**2 + 0 + 6*x - 1\/2*x**3. Calculate the remainder when h(8) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8191 is divided by 88?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/44 and 32\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.01806\nAnswer: -0.007224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 47 - (24 - 33).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8370 = -33*t - 9360 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3012)\/1255)\/((-8)\/(-25))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 22917?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*z - 36 = -85*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = -t. Find the second derivative of 2*b**3 + b - 2*b - t*b + 2*b wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyqk when four letters picked without replacement from kykqqkqqkqkyk.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 1. Let b(k) = -45*k - 63. What is -3*b(n) + 189*h(n)?\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v - 88 + 88)*(0*v - 2*v + v) - 6*v**2 + 4*v**2 - 2*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -973631, -1947150, -2920679, -3894224, -4867791?\nAnswer: -5841386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 131901468.\nAnswer: 659507340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -2 + -5 - -3) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/56 + 163\/1288. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/297*(-2)\/16)\/(3\/(-54)*6)?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 780 divide 5697120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 5. Let c be p(-4). Suppose 5*w + 3*l - 3 = 6, l - c = -w. Let t = -2163 + 2168. Solve w*d = t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**4 - 13203*y**2 + 37000 wrt y?\nAnswer: 4*y**3 - 26406*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 605, -5, 4.\nAnswer: -5, 4, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {o: 2, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 1660*g - 171496.\nAnswer: -4*(g + 194)*(g + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.4 - -6. Let g = 0 + w. Suppose -17 + 8 = 10*b + 1. What is the third biggest value in g, -1\/7, b, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 1088424*x**4 + 1088444*x**3 - 4353696*x**2 - 4353712*x = 0. Calculate x.\nAnswer: -2, -1, 0, 2, 272107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1540 and 560?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 22?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663502.\nAnswer: 2, 831751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1353 + 10 + 1\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3172, 12704, 28584, 50806, 79364, 114252, 155464?\n\"Answer: -u**3 + 3180*u**2 - u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73765 minus -1503.7874?\nAnswer: 75268.7874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -495\/2 + 248. Put v, -4, -1\/4, 0 in descending order.\nAnswer: v, 0, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-24)*0 + 4. Let a be (0 - -1)*(64\/20)\/p. What is the third smallest value in -0.5, a, -1\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7002 + 1\nAnswer: 7003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**9\/13608 + g**7\/3780 - g**3 + 1. Let v(o) be the third derivative of h(o). Factor v(q).\nAnswer: -2*q**3*(q - 1)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (-12 - (12 + -17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Suppose -w + 6 = x. Suppose 3*y - 7*y - 29 = -g, -2 = -w*y. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/180900 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 5*c = -29*y, y + 5*c + 10 = 0. Suppose 0*r + 4*m - 18 = 2*r, 0 = r - y*m + 3. Let v(x) = -x**2 - 11*x + 16. Give v(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -0*h + 2*r, -5*h + 40 = -5*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33239864909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0, -3, 2\/13, 0.11, -378, -0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.506 - -4.4. Let u = o + 48.106. Let d = 47.9999995 - u. Round d to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 6*w**2 + 2*w - 1. Let b be a(-6). Let r be (-1 + 0)*(b + 10). Solve 3*z + r + 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 24189859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 100?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -1260*g - 1293*g + 2551*g + 17, -33*g = -f - 36 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 196*c**3 + 257*c**3 + 3*c + 4*c.\nAnswer: 453*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -3. Let s = 1 - 15\/13. Is s at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611108?\nAnswer: 2, 152777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*o**2 + 6 + 31 - 2 wrt o?\nAnswer: 64*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598037.6 centuries in millennia?\nAnswer: 59803.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 324172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 49 - 370*u + 132*u + 23 - 308*u.\nAnswer: -546*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123170, -123172, -123176, -123182, -123190, -123200, -123212?\n\"Answer: -b**2 + b - 123170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + j = -1, -3*g - 3*j = 3. Let k(h) = -2*h - 2. Let x be k(-2). Let u(y) = 2*y**2 - 2 - 2*y**x - 1 - y**2. Determine u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**3*n**2 - 42*a**3*n + a**2*n - 8205*a**2 + 20286852*a*n**5 + 26*n wrt n.\nAnswer: 8*a**3 + 405737040*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = 3*h, -25 = w + 2*w - 5*h. Suppose 3*g - 60 + 0 = w. Suppose 0*j - 4*j + g = 0. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7157372970965 from -1.3.\nAnswer: 7157372970963.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - 10*b - 5. Let q be (4\/7)\/((-10)\/35). Let t(r) = 2*r**2 - 3*r - 2. What is q*f(a) + 7*t(a)?\nAnswer: 2*a**2 - a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 11\/12*d**4 + 2 + 23*d**2 + 1\/3*d**3 + 40*d. Differentiate y(m) with respect to m.\nAnswer: 22*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2853405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (2 + (1 - (-5 - -6)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) 12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-297)\/55*10\/(-21) and -18\/101.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11207 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10118 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + -9 + (16 - 20) - 17.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 45*k**2 - 6*k**2.\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 10*n**2 + 15*n - 45. Determine i(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -87. Suppose 9 = -4*j + 5*w - 3, 5*j - v = 2*w. Find b such that 5 + 3 + 12*b + 1 + 2*b**j + 1 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/18 + 7\/(-14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 361\/(-38)*(120\/(-10))\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65\/8 - -31\/4. Let d = 0.4 - 0. What is the smallest value in 0, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 74. What is the tens digit of z(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7404.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 9*d + 89 = -55. Calculate the remainder when 388 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**3 - 15*b**3 - 11*b**2 - 11*b**2 + 23*b**2 + 1 as s*b + t + d*b**2 + j*b**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 7*l**5\/330 - 47*l**4\/132 - 14*l**3\/33 + 7*l**2 + 8. Factor t(j).\nAnswer: 2*(j - 7)*(7*j + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8*i - 3*i + 770 = 0, 2*x = 2*i - 316. Let h = x - -173. Calculate the greatest common divisor of h and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 840.0201 millennia?\nAnswer: 8400.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12 = 4*a, 3*a - 12 = -3*v - a. Let w = -874\/357 + -152\/51. Calculate the common denominator of -5 + v + (-48)\/(-10) and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 4*z - 5*z**3 + 3*z**3 + 2*z**3 - z**2 as t*z**2 + j*z**3 + v*z + k and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5468215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.211 * 0.13.\nAnswer: 0.02743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286639 is divided by 40906.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31100 + 313?\nAnswer: 32013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**4 + 351*g - 562?\nAnswer: -8*g**3 + 351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5928)\/117)\/(4\/(-6)). Calculate the greatest common factor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 276250969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1363*n + 20. Give a(1).\nAnswer: -1343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*a - 11, 4*a + 3 = 3*a + 5*t. Suppose 5*u - y = -3*y + 32, a*u + 4*y - 16 = 0. What is the greatest common divisor of u and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5888 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 476644.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*w - 144 = 0. Let d = -25 - w. Let n be -2*(0 + 1\/(-2)). Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + k - 28, 0*n + 21 = 2*n + 3*k. Solve -u - 6 = -n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 67 = 53. Calculate the least common multiple of v and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216440*0.002\nAnswer: -432.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**2 + 62*q + 9. Let t(d) = -8*d - 1. Let l(w) = i(w) + 8*t(w). Let y = 1 - 0. Calculate l(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(6\/(-9))*1*-3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**25*l)\/((l\/(l**1\/l))\/l))**(-48))**(1\/3))**(-26) assuming l is positive.\nAnswer: l**10816","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, -6, -1, 2 in increasing order.\nAnswer: -6, -2, -1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 - 178. What is the remainder when 29 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1262*p**2*t**3 - 9*p**2*t - 57*p*z + 93*t**3*z + 702*t**2*z + 4*t*z wrt p.\nAnswer: 2524*p*t**3 - 18*p*t - 57*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 20*s + 7. Let f(c) = c**2 + 19*c - 7. Let r(d) = -5*f(d) - 4*u(d). Calculate r(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by -108?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 12. Suppose -3*s = 3*a - 29 - 76, 5*s - 175 = -u*a. What is the least common multiple of s and 55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(7*m**5 + 10*m**5 - 3*m**5) + 5*m - 5*m - m**5 + 26*m**2 + 2*m**5 - 26*m**2.\nAnswer: -13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z = -76*z - 18*z - 4485 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 245380783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -7899, 114 in decreasing order.\nAnswer: 114, 2, -4, -7899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4338?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 317*i**2 - 8*i - 5. Let x be m(-1). Let s = x + -266. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 6, -555758, 12 in decreasing order.\nAnswer: 12, 6, -3, -4, -555758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154056)\/(-3930) + 87*(-2)\/6?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s**2 - 7. Let c be i(7). Suppose 8*q - c = -5*q. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:11 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4620 or -4631?\nAnswer: -4631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 1\/60*u**5 + 0*u**3 + 0 + 0*u + 1\/240*u**6 + 1\/48*u**4 + 2*u**2. Factor m(k).\nAnswer: k*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7835346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - -3*(-791)\/9. Let c = -146 - l. Suppose 3*o = 0, -3*j + 4*j - o - c = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27028 - 27027.9992811. Round w to five dps.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -8, -3*j + 53*w + 181 = 52*w. Solve -68 = 80*h - j*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 506.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38200046 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0*v**3 + v + 0 + 0*v**2 + 1\/3*v**4 + 1\/10*v**5. What is the third derivative of y(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/17)\/(n*n\/(n*n*n**(-1))))**(-2\/89) assuming n is positive.\nAnswer: n**(32\/1513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (4 + -12 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + 687817333.\nAnswer: 687817441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 16*l**2 - l**2 - 8*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -425381*m**2 - 2*m - 5*m**4 + 103 + 32*m**3 + 425381*m**2 wrt m?\nAnswer: -60*m**2 + 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*a - 8349, -2*g = -g + 1. What are the prime factors of a?\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2*f**6\/3 + 8*f**5\/5 + 4*f**4 - 8*f**3\/3 - 6*f**2 - 39. Let i(h) = 0. What is h?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66e0 (base 16) to base 14.\nAnswer: -9852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -3.958.\nAnswer: 1.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10840563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from wfwwffuiuuiffuuuu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -66. Let p(m) be the second derivative of 0 + 1\/3*m**2 + 1\/72*m**4 - 2*m + 1\/9*m**a. Factor p(z).\nAnswer: (z + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -b9?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 - 3. Let m be ((-4)\/(-6))\/(2\/(-6)). Let n = -796 - -800. Which is the third smallest value? (a) n (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + -3?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7464441 is divided by 7247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 1 + 7668\/108.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n. Let b(a) = 48*a - 54*a - 3 + 3. Give f(b(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30158, 30160, 30162?\nAnswer: 30164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -127, -116\/5?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3774 and 12936384?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 144 + 132 = 0. Calculate the remainder when 44 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12450213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*-4*1*(-2)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 467474 and 267128?\nAnswer: 1869896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78606.4 and 0.4.\nAnswer: 78606.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5356 + -5352. What is the nearest to 0.1 in -2, -0.15, b?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 less than 16185498.4?\nAnswer: 16185646.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -27\/16, 1\/3, 6, 0.5, 8\/5?\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 483, 1904, 4261, 7554?\n\"Answer: 468*w**2 + 17*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 1. Let s(v) = -5*v**2 - 6. Let f(c) = 6*p(c) - s(c). Differentiate f(t) with respect to t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-10)\/(-15) - (-760040)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 210.843 - 211. Which is the biggest value? (a) 2 (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**3 - 5*y + 3. Let a(f) = 4*f**3 + 2*f - 1. Let r(p) = -8*a(p) - 3*i(p). Let z be r(2). Solve 4*l - 9*l - z = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 206*z**2 - 403*z - 81. What is the least common multiple of (16\/10)\/((-2)\/(-10)) and w(101)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 29. Let v be (2 + (-4)\/z*-2)*5. Let j be (4\/9)\/(v\/27). Put -4, -1, j, 3 in descending order.\nAnswer: 3, j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 24034.\nAnswer: 5\/24034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1550034 (base 6) to base 10.\nAnswer: 92038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28060.071 + -28099. Let w = 38.992 - -0.008. Let y = w + x. Round y to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1993\/462 - -3\/154. Which is the fourth smallest value? (a) 3\/7 (b) -5 (c) -1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 11*k + 52. Suppose 0 = 9*j - k*j - 1245. Let u = j + -98. List the prime factors of u.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 56 - 20*f - 53 + 95 to the form o*f + i and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x - 5. Let m be (-7)\/(-2)*(10 - 8). Let c be g(m). Let l be 45\/c - (-1)\/(-4). What is the second biggest value in l, -2, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 3) to base 16\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -427.108 + 427.18. What is the third smallest value in c, -1, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2627 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500362 is divided by 71480.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-546*c**3 + 546*c**3 + 2*c**4 + 668*c)*(-3*c + 5*c + 0*c).\nAnswer: 4*c**5 + 1336*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, p: 1, g: 1, w: 1, u: 2, f: 1}. What is prob of picking 1 u, 1 f, 1 w, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1067\/5185 + -6\/1037. Let w = 0.95 - -0.05. Which is the closest to 2? (a) 0.3 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/11 + 20328*o + 8270758\/11 = 0. Calculate o.\nAnswer: -111767, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g**(-1\/3)*g)**(-3\/2)*g**0\/(g**(1\/4)*g))**(1\/41))**(-21\/5) assuming g is positive.\nAnswer: g**(567\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -170. Solve 0 = 6*c - c + o*d + 50, 10 = -2*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = m, 2*m = 4*w - 1 - 11. Solve 5*g + 8 = 9*g + 3*s, w*g - 10 = -5*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 13. Suppose 4 = 4*z - d. Suppose 17 = q + 5*r, z*q - r = 3 - 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o + 2. Let u be p(3). Suppose -18 + 76 = f + 2*x, -10 = -5*x. Suppose 2*d = f + 86. What is the greatest common divisor of d and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 18 = -2*z. Suppose p + 393 = 3*r + 2*r, 3*r - 243 = z*p. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.23. Let b = -29\/24 - -1\/120. What is the closest to 0.1 in t, 3\/5, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66.1? (a) 2\/7 (b) 1\/19 (c) 0.2 (d) -24 (e) -4\/5 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3432.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*63\/(-14). Let j(y) = 3*y**2 + 2. Let q(m) = 4*m**2 + 3. Calculate z*j(t) - 2*q(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 846420 divided by -1?\nAnswer: -846420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2296 and 336.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-10)*(-5)\/(-2). Let g be 3\/6 - (-10)\/q. Solve -20 = -8*k + g*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410109.79 to the nearest 100.\nAnswer: 410100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3685459 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23160471, -46320945, -69481421, -92641899, -115802379, -138962861?\n\"Answer: -z**2 - 23160471*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*5 + 3)*-1.\nAnswer: -25*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 738 and 9.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11066 and 2773542.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.123 + -0.143. Let k = f + 0.02. Let w be (2\/(-12))\/(1\/2). What is the second smallest value in -3, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*a**4 + 20*a**4 - 3 + 2*a - 8*a**2 - 47*a**4 wrt a?\nAnswer: -12*a**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**3 + 26*u**2 - 134*u - 225. Calculate n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 13*n - 12. Let j be (4\/n)\/((-2)\/(-6)). Suppose 2*v + 5*l - 22 = 3*l, -v + 15 = j*l. Solve 0 = -3*c + v + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 1412, 3451, 6290, 9929?\nAnswer: 14368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/2278*(6\/2)\/((-2)\/(-3)*9)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 13 + 3*i - 5*i - 1. Let f be d(16). Let p = -1 - -1.5. Which is the closest to 1? (a) f (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -13075, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17365, -69448, -156263, -277816, -434113, -625160, -850963?\n\"Answer: -a**3 - 17360*a**2 + 4*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**4 - 1. Suppose 3*t - 3*k - 32 = -t, 0 = 4*k + 16. Let b(u) = t*u**4 + 60*u**2 - 4 - 60*u**2. Let r(s) = -b(s) + 2*j(s). Differentiate r(m) wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154082679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499.612 millilitres in litres?\nAnswer: 1.499612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 3, j: 1, q: 1, x: 2, s: 4}. What is prob of sequence si?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065 is divided by 419?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12774318 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -11 - (0 + 4) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - p = f - 10, -5*p = 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -101291, -202581, -303871, -405161, -506451?\n\"Answer: -101290*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*k = -32, -5*k = -u - 3*k - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x**2 + 1. Let u be (55\/15 - 5)\/((-2)\/(-3)). Calculate j(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886*u + 12171 = 2496*u - 21649 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18622*p**4 - 4240*p**3 - 177713607*p**2 wrt p?\nAnswer: 446928*p - 25440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23376 divided by 48.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(4 - 4 + y)*(24 - 144*y + 28 - 54).\nAnswer: 432*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 - 306. Suppose 3*p + p + 40 = 0. Let m = v + p. Which is greater: 14 or m?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-24) - 6\/(-12). Let t(m) = m**3 + 4*m**2 - 19*m - 4. Let k be t(-8). Let o = k - -107. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j**3 - 83*j**2 + 4*j - 15. Let q be k(7). What is the highest common divisor of q and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 9*(-44)\/33\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 660\/7 - 94. Let z = -40 + 284\/7. Find j, given that z + b*j**2 + 6\/7*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 2 + -407 + 332 + -16\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose n + 2 = s - 4*s, 0 = j*s + 6. Solve 5*h - a + 9 = 0, -2*h + n*h - 6 = -2*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172927 - 56384. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884.73 nanoseconds to microseconds.\nAnswer: 0.88473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 40. What is the nearest to -2\/3 in 0.1, 7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 2, z: 2, v: 1}. What is prob of picking 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2179 (b) -22008 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1346, 4, 3, 2, -4, -14, -25 in decreasing order.\nAnswer: 1346, 4, 3, 2, -4, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149852 - 4*z**2 - 8*z - 149854 + 0*z**3 - 2*z**3 to s*z + k*z**2 + a*z**3 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9856809 * -0.1.\nAnswer: 0.09856809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1343 and 450537.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -1\/6 (b) -1\/3 (c) 1 (d) 10.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 94 + 8 + -32.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3437004.943 - -3435534. Let t = 1472 + h. What is t rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from kbbgkbkkbrr.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (27507\/6 - 11)*2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/25))\/v)\/(v*v**(-1)\/v)*(v*v\/v**1)**(-6\/19) assuming v is positive.\nAnswer: v**(363\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85.28 - 95. Let z = 19.65 + r. Round z to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34.55729 decades?\nAnswer: 4146.8748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -236, -988, -2230, -3944, -6112, -8716, -11738, -15160?\n\"Answer: 3*z**3 - 263*z**2 + 16*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4 = 4*j + 12, 5*j = 2*k - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f + 65*f + 31 - 19 + 48.\nAnswer: 8*f + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.4 - -0.4. Let u = q - -4.8. Let b(a) = -a. Let m be b(1). Sort -2, u, m in descending order.\nAnswer: u, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 + (-531 - -38) + -1 + 34 + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22751502 to the power of 1\/2, to the nearest integer?\nAnswer: 4770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + b**2 - 4*b**2 + (2*b**2 - 4*b**2 + b**2)*(0 + 2 + 0) - 5*b**2 + b**2 + 5*b**2 - 2*b - b**2 + 2*b + b**2 + 835 - 3*b**2 - 842.\nAnswer: -6*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -281.558276 to one dp.\nAnswer: -281.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + (-966)\/39)\/((-27)\/(-468)) - (-44 - 1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 403 (c) -9\/4 (d) -0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*l = 136*l - 4437 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 1 + 2*s**3 - 5*s + 7*s + 3*s**4 to the form a + g*s**4 + h*s**2 + w*s**3 + q*s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. Let x = w + -11. Let t = x + 9. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**43*(r*r\/(r\/r**(2\/3))*r)**(2\/29) assuming r is positive.\nAnswer: r**(421\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -24?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**8\/616 + 16*y**7\/1155 - y**6\/55 - 2*y**2 - 20*y. Determine f so that a(f) = 0.\nAnswer: -6, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2237*u**2 + 1440*u + 5746. What is the ten thousands digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6900437 - 6900613.00087. Let l = 176 + b. What is l rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**9\/m)**(1\/18))**(1\/30) assuming m is positive.\nAnswer: m**(2\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -37506 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 141419749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -261.8*-7027\nAnswer: 1839668.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -15. Suppose 2*m + 11 = 4*m + i*y, 2*m = y - 1. Let j be 59\/(-29) + 0 + 2. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/524064 and -119\/30.\nAnswer: 2620320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94515*q**5 - 56868*q**2 wrt q.\nAnswer: -5670900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 2:19 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -114, -157, -192, -219, -238, -249?\n\"Answer: 4*x**2 - 63*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 887 - 174. Let v = o - 531. What is the remainder when v is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h - 16. Let k(s) = 4*s + 1. Let y be k(1). Suppose 3*d + 2 = -x + 8, -2*x - y*d = -13. What is the remainder when p(2) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 4*y - 20*y + 4*y - 22*y**2.\nAnswer: -22*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r = -6. Let l(q) = 3*q**2 - 2 - 2*q - q**3 + 4*q + 2*q**r. Let x = 78 - 75. Let a(h) = -2*h**3 - 4*h**2 - 3*h + 2. What is x*l(s) + 2*a(s)?\nAnswer: -s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a + 2. Suppose z + d = -5, 3*d - 15 = 5*z - 2*d. Calculate the remainder when n(z) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23107762 - -0.09507691. Let k = 0.136 + t. Round k to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -16 + (7 - -8) + 17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -17\/3*f**3 + 0*f**2 + 0*f - 22 + 3\/4*f**4. Find the third derivative of t(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-1 + -6 + -5). Let j(k) = 6*k**2 + k - 2. Let s be j(-2). Calculate the remainder when (27\/g)\/(1\/s) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*l*m - f**2*l + 127*f**2*m**2 - 2*f*l*m**2 - 2*f*l*m - 80*f*l wrt f?\nAnswer: 4*l*m - 2*l + 254*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(-21)\/(-56)*1*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106922 divided by 386.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -68. Solve 41*g + 31 - 195 = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1201001001202221?\nAnswer: 1201001001202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 12122.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 0, -68 = 3*b + b - 3*g. Which is bigger: b or -15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 11 = 44 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8))\/((-219)\/(-8)). Let s = x - -1324\/1095. What is i in 2\/5*i + s*i**3 - 8\/5*i**2 + 0 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 157*d**2 - 79*d**2 - 75*d**2. Let y(t) = 114*t**2. Give k(y(l)).\nAnswer: 38988*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/10)*i**(-18\/11) assuming i is positive.\nAnswer: i**(-213\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 26532 (b) -5 (c) 1\/2 (d) -0.2 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 1, r: 1, z: 3}. Give prob of sequence mmzz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 153?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p. Let y(x) = -64*x**2 - 2*x + 42544. Determine c(y(t)).\nAnswer: 256*t**2 + 8*t - 170176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 192*l + 212. Let v be p(-65). Which is the smallest value? (a) -15 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -371\/12252 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 10*h - 17. Let t(x) = -3*x**2 - 7*x + 17. Let u be t(2). Let y be q(u). Let f(i) = -2*i - 20. Calculate f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 7*s**2 + 7*s + 1. Let w be m(6). What is the second derivative of -r**3 + w*r + 8*r + 17*r - 19*r**4 - 20*r**4 wrt r?\nAnswer: -468*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4222 and 20\/6*2\/(-8)*11481\/(-445)?\nAnswer: 4222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 7 = 8*b + 2*a, -4*b + 2*a - 16 = 0. Let q(d) = -d**3 + 2*d. Let w be q(-2). Let n be (w\/(-10))\/(3\/(-30)). Sort b, 1, n in decreasing order.\nAnswer: n, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h. Let c(x) = 1. Let p(z) = 2*z + 3 - 4*z - 2*z. Let b(i) = 4*c(i) - p(i). What is -3*a(q) + 2*b(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, y: 7, g: 7}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkknkkkkkkkknkn. What is prob of sequence nn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express p + p + 6 + 1 in the form m + f*p and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5684 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96\/10 - 15\/((-525)\/14) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 221782, 443576, 665362, 887134, 1108886, 1330612, 1552306, 1773962?\n\"Answer: -b**3 + 2*b**2 + 221795*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*g**2 + 3*g - 428*g**2 - 7*g - 8*g.\nAnswer: -634*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 13 + 4030\/(-104) - (-1)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 107*o**2 + 87*o + 4. List the prime factors of g(8).\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -5*x + 52. Suppose 2*j + j - 2*s = 264, 0 = -3*s + 9. Calculate the highest common factor of j and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(704) + 1)**2 - sqrt(704)) + sqrt(11)) + sqrt(11) + (3 + (sqrt(11) - sqrt(44)\/sqrt(4)) - sqrt(11)) + (sqrt(275) + 1)**2 + sqrt(275).\nAnswer: 51*sqrt(11) + 3099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*f - 28*f + 81*f - 38*f - 1360 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1947 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2259838900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58536*l**5*x - 20*l*x + 496*l + 2*x wrt l.\nAnswer: -1170720*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250252861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**5 - 8655*q**4 + 78175*q**3 - 217365*q**2 + 234850*q - 87000 = 0.\nAnswer: -1740, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/42 and -61\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000162 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 878734.9km?\nAnswer: 878734900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - a**3 - 2*a + 5*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2622 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 7 + 38\/(-8). Solve -m*v + 0 - 1\/4*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1686 * 0.1\nAnswer: -168.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23769 + 0.5.\nAnswer: 23769.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*i - 2 = 0, -504*n = -500*n + 6*i - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 208471277 rounded to the nearest one million?\nAnswer: 208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - 1)*(-2)\/8. Solve 4 = -l*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3) + (1 - 1). Let q be n\/4 + (-2)\/(-12). Suppose 0 = -4*v + 4*o - 8, -3*v - 18 = -5*o - 6. What is the nearest to v in 0.1, q, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 - 6*v**3 + 3890*v**2 - v - 2909 wrt v.\nAnswer: -12*v**2 - 36*v + 7780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*k + 254*k = -3200 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507 = -4*a + w, 52294*a + 612 = 52289*a - 6*w for a.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((8 + -3 - 6) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/15 (b) -6 (c) -4 (d) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -13\/1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 230 = 5*k. Let r = -15 - k. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 - 18456*w\/5 - 36924\/5.\nAnswer: 3*(w - 6154)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/5408 and 105\/5291728?\nAnswer: 10583456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1010012211222200?\nAnswer: 1010012211222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1552 + 1555. Put b, 0, -2, 84 in descending order.\nAnswer: 84, b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = l. Let h = 0 + -3. Let b = l - h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1685 + 6961. What are the prime factors of p?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -88, -248, -514, -886, -1364?\n\"Answer: -53*x**2 - x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000244311243 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - -62. Let k = t - 18. What is the second smallest value in -4, k, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -530*f**4 + 1663 wrt f.\nAnswer: -2120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 7*c = c + 1405417. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 51. Suppose -2*w - t = -237, -t + 594 = b*w + t. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 10*q + 16. Let b be u(8). Solve -2*i = 2*g + 4, -5*g - 4*i + 5*i + 8 = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98.85 + 102. Let k = -0.25 - a. What is k rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 19*f. Let a(o) = -482*o + 5. Calculate a(q(s)).\nAnswer: -964*s**2 - 9158*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2562 and 5490?\nAnswer: 38430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 - 260\/(-30). Let t = d + -5. Solve 2*c + t*q + 8 = 0, -5*c + 9 = -q - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = 1. Which is smaller: n or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 37, 59, 91, 133?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*o - 15 = 0, 4*o = 3*z + 3 - 38. Suppose 4*f + 2*w = w + z, 5*w = 5. Let n = f - 1. Solve -11 = -n*k - 3, -3*k - 4 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2692119 and 2692140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1 + 1)) + 6. Suppose 6*a - 2 = z*a. Let s(o) = o**3 + o**2 + o - 1. Let x be s(a). Solve x*p = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 19*f**2 + 35*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l**3 - 996*l**2 - 1728*l + 2816 = 0.\nAnswer: -8, -88\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 3036397 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 - 40*h - 6956 = 0.\nAnswer: -37, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18563 is divided by 7867.\nAnswer: 2829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:34 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2355734387*h + 2355734387*h + 22*h**3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*a - 42, 3*o + 4*a = -13 + 37. Suppose 0 = -4*s + s + o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 - -104. Solve 2*j - r + 2 = -j, h*r - 20 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77007458 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i = -6*i - 99 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/3322242 and -43\/594.\nAnswer: 3322242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -2.061, 1 in descending order.\nAnswer: 4, 1, -2, -2.061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50*((-16)\/(-10))\/4. Solve 0 = 2*h + 3*h + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from iziiizizizziz.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8130, 12407, 16684, 20961, 25238, 29515?\n\"Answer: 4277*k + 3853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdw when three letters picked without replacement from {d: 6, w: 9, q: 3, e: 1}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1805.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/14021007 and 53\/131859.\nAnswer: 42063021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109892 = -1358*m + 3268*m - 2798 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 4*m. Let n be y(-4). Suppose -2*a + n = -0*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*31*(12\/420*-10)\/((-6)\/21)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = -8. Let q be w\/(-3) + (-2)\/6. Is (-1 + -5)*q\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1443*u - 1404*u + 78 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 32*a + 1 - 15.\nAnswer: -32*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5\/3 (c) -5\/2 (d) 1058 (e) -2\/5 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 4. Suppose 0*m - w = 3*m. Let h = m - -5. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 + 14*d - 44. Let b = -3 + 0. Let a(x) = x**3 + 3*x - 9. Let k(r) = b*m(r) + 14*a(r). Differentiate k(n) with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/120 + t**5\/15 - t**4\/6 + t**3\/3 + t**2 - 22*t. Let j be b(1). Solve c = -j + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 104 = -2*d, 12*d - 17 = t + 7*d. What is the remainder when 15368 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 1. Let u be l(-3). Calculate the greatest common factor of u and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240296 and 95144.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*s - 122 = 1558, 0 = -2*y + 2*s + 658. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834\/26 - (-28)\/(-10192)*28?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m - 194. Let t be b(30). What is the highest common factor of 34 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 1. Let a(p) = -3*p**2 - p - 2. Let u = -7 + 5. What is u*v(i) + a(i)?\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 189*u + 11. Let v(h) = 381*h + 25. What is -4*v(t) + 9*y(t)?\nAnswer: 177*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(24)\/(sqrt(3) - sqrt(12)) + sqrt(8) + sqrt(8) + sqrt(8))\/(sqrt(36)*-4) + 6*(1 + (sqrt(242) + 1 - sqrt(242))).\nAnswer: -sqrt(2)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000111 + -11111101?\nAnswer: -10000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -185019*q + 88822 wrt q?\nAnswer: -185019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92599 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18016982 by -3.\nAnswer: 18016982\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 - 3*x**2 + 3*x - 1. Let p be v(1). Calculate the least common multiple of 21\/((-25)\/(-10) - 1) + p and ((-2)\/4)\/(1\/(-120)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -4. Let y(i) = i**3 + 19*i**2 + 68*i + 28. Let d be y(-4). Sort g, -13, d, 1.\nAnswer: -13, d, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23836029 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 106765 + 22277 = 0. Is f prime?\nAnswer: False","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: Let v(f) = -f**3 - 378*f**2 - 13520*f + 12. What is v(-338)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**6\/f)*f**1)\/(f*f**(-1)*f*f**3*f))\/(f\/(f\/(f*(f**(5\/8)*f)\/f))*f*f\/((((f*f**(-11))\/f)\/f*f)\/f)*f)**(-4\/25) assuming f is positive.\nAnswer: f**(-267\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5640 and 8460.\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -720 times 2859\nAnswer: -2058480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8083 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200)*1)\/((sqrt(20) + -2*sqrt(20))\/sqrt(10)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) - (-80)\/36. Suppose y*u + 3 = -1. Let s(g) = g**2 - 4*g - 7. Let h be s(5). Is h smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*p - 102*p - 5 = 5*q, 5*p = 2*q - 40 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 60, 77, 94, 111, 128?\n\"Answer: 17*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47098 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: Collect the terms in -83*n + 83*n - 226*n**3 + 243*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 - 7*s + 13. Suppose 7*m - 4*m + 24 = 0. Let w be z(m). Sort w, -5, -3 in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1551*y - 69801. Give m(-45).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53107685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.99683 to 1 decimal place.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 3)*(-3 + -25*15230)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4, -1\/7, 3\/7, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 - (-24)\/18. Let y(m) = 5 + 4 + 0*m + l*m - 5. Determine y(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 7*i - 1 = 0. Let t be 9*(6\/(-9) - i). Solve -4 = t*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512 (base 10) to base 11.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -77. Suppose -3*b = -q - 77, 5*q - 18 = -3*b + u. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(7\/126)*((-120)\/1044)\/(-10)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(494\/(-4)))\/(-1*(-2 - -3))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100011 (base 2) in base 8?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.062 + -0.93907. Let s = -1 - v. Round s to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/650 + (3\/117)\/((-1)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 4, h: 2}. What is prob of sequence jd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(0 + 1 - 2). Suppose 12 - 37 = -5*m. Suppose 5*p - j - 7 = 2*p, -m*p = j - 9. Put -2, p, k in increasing order.\nAnswer: -2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x**3 + 0 - 1\/20*x**5 + 0*x**4 + 0*x - x**2 - 1\/60*x**6. What is the third derivative of u(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10062.\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(24)\/(sqrt(8)*-1)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.0099622 rounded to 1 decimal place?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 0*m)*((0 - 2 + 4)*(-6 + 4 + 1) + 1 - 6 + 3).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/4 and (7 - 51\/7) + 1854\/560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -7*m + 323 - 294, -4*m + 2*s = -14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4\/17, 2\/5, -0.22, 3\/2, 1\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 - 5474\/340 - 2\/(-20). Factor -5\/2*b + 9\/4*b**q + 1 - 7\/8*b**3 + 1\/8*b**4.\nAnswer: (b - 2)**3*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:01 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 43. Let l = 9\/25 + -24\/25. What is the third smallest value in -0.2, z, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 33*l + 327. Give z(0).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 531679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 1\/12*n**3 + 12 + 0*n**4 + 0*n**2 - 1\/20*n**5 + 0*n. Factor h(b).\nAnswer: -b**2*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.9531 + 0.0031. Let h = -0.05 + t. Let i = -17.8 - h. Is 3\/7 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from uqbbuquusquujusbbsjb?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:07 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.066 (b) 13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3144 and 151\/42?\nAnswer: 22008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334241\/32 - 10448. What is the common denominator of -79\/60 and g?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1863355370 rounded to the nearest one hundred thousand?\nAnswer: -1863400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/24 - 7*x**3\/6 - 2*x**2. Let r be p(-7). What is the units digit of (-1)\/(3\/(-15) - r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.523843 rounded to 2 decimal places?\nAnswer: -5.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.78 times 7\nAnswer: -12.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637740, 1275415, 1912960, 2550309, 3187396, 3824155?\nAnswer: 4460520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9592921 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from wttttttrtrttttrtt.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4 + 5 - 33 + 4 + 19. Let w(t) = t + 10. Determine 6*v(a) - w(a).\nAnswer: -a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1807754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:17 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350590.\nAnswer: 2, 5, 35059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1 - 4 + 3 + 2 + (1 + 1 - 4)*(0 + 3 + 1))*(4*h + h - h).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -776 or 374759?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.73502 to two dps.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*r = -2*r + 10, 4*r - 8 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3464 + -3467. Suppose 21 = 4*o + 5. Sort j, -1, 2, o in increasing order.\nAnswer: j, -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbd when three letters picked without replacement from {v: 1, b: 1, d: 3, q: 4, a: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9668980 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/91 - -290\/819. Put -0.4, a, 3\/5, -1\/5 in descending order.\nAnswer: 3\/5, a, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/524 and -5\/4.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 2 + 5*i - i)*(2 + 2 - 1).\nAnswer: -3*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262484333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 7*x**4\/2 - x**3\/3 - x**2\/2 - x - 7. Give o(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279 + -261. Calculate the remainder when 158 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Suppose -3*d - 4*b + 63 = 14, 3*b - 33 = -2*d. Let f(j) = -d*j + 5*j + 8*j + 38. Calculate u(f(t)).\nAnswer: 8*t**2 - 304*t + 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 41. Let u(l) = 10*l + 5. Let d be u(-2). Let y = d - p. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 223397 and -633365.7?\nAnswer: 856762.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13625.295 + -13627. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, -4, 5 in increasing order.\nAnswer: -21, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.086 - -1.086. Let k = 0.8 - 0.5. What is the second biggest value in 4\/9, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 152\/11? (a) 0 (b) -2205 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 8*d + 0*d)*(0 - 1 + 0) + (2*d + 0 + 0)*(0 - 1 + 0) - 7*d + 0*d - 7*d to the form o + r*d and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6823*c - 730818 - 278986 for c.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10462480 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -35\/2 (c) -0.09316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*c - 256*c - 10092 - 7436 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p - 12. Let f(n) = n - 1. Let v = 10 - 22. Let w(l) = v*f(l) + d(l). Let t be w(1). Solve 2 = -2*q - o, -q - o - 4 = t*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:42 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 436 - 436 - 41*s to the form h + a*s and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/(r**(-6)\/r)*((r*r**(-1))\/r)**49*((r\/(r*r**(-2\/3)))**(-6))**(-6\/7) assuming r is positive.\nAnswer: r**(-305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 11:51 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 11\/8, -6, -0.19, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-8)*240\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h + 2*h)*(2 - 6*h**2 - 4*h**2 - 2813*h + 2806*h).\nAnswer: -10*h**3 - 7*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (0 + sqrt(7)*-2))**2 + -4)*2.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:28 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-6)\/3)*0. Solve g*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8742.074mm?\nAnswer: 8742074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 7 + 13. Let m = 2767 - 4448. Let n = 1678 + m. Put 2, -21, n, h in descending order.\nAnswer: 2, n, h, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -445846\/3 less than -148614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*x**4 + 3*x**5 - 36*x**4 - x**5 + (5*x**2 - x**2 - x**2)*(0*x**3 + 4*x**3 + 0*x**3).\nAnswer: 14*x**5 + 17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -104, -0.4, -2, 25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 541120747 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: b\"What is the ath term of 251, 191, 133, 77?\n\"Answer: a**2 - 63*a + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4.1, -8, 5, -4, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + -4 - 3)*-1. Let m = -1.6 - -2.66. Let k = -0.06 + m. What is the closest to -0.1 in k, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 22322*d - 89790. What is m(4)?\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -30.3688?\nAnswer: -30.5688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(2\/7)\/k*k))**(6\/11))**(12\/13)*(k*k\/((k*k\/(k**(-4)*k))\/k*k)*k*k)\/k**(-2\/3)*(k*k**(-2\/11))\/(k*k**(2\/7)) assuming k is positive.\nAnswer: k**(-1325\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - ((-24 - -37) + -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -7*c**4\/24 - c**2. Let a(m) be the third derivative of 11*m**4\/24 + 2*m**2 + 990*m. What is t(a(f))?\nAnswer: -77*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -31. Solve 5*n = j*m - 10, -m = 2*n + 9 + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 - 10*w**4\/3 - 13*w**3 - 74*w**2\/3 - 68*w\/3 - 8.\nAnswer: -(w + 1)*(w + 2)**3*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.4, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**3 + 10*f**3 - 8*f**3)*(1 + 0 + 1)*(1 + 1 + 0) + (f**2 + 0*f**2 + 0*f**2)*(0*f - 2*f + 0*f) - 6*f**3 + 41*f**2 - 41*f**2.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31139 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 279*h**2 + 3 - 76*h**4 - 279*h**2 wrt h.\nAnswer: -304*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -10*i + 12*i. Suppose -200 = i*o - 1184. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 - 219. Let x be 4 - 4\/a*2. Solve 16 = 4*s - 4*j, -x*s + 2*j + 12 = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 3. Let j(a) = a - 1. Let x(u) = -b(u) - 3*j(u). Let w(l) be the third derivative of 11*l**4\/24 - l**2. Determine w(x(s)).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*r + r - 39 - 17*r - 44*r**4 wrt r.\nAnswer: -176*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -7 + -2 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.36 + -20. Let g = u - -1.31. What is g rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 2:07 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12 and 1\/40850?\nAnswer: 245100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 67498*f - 2*f**2 - 18 + 67476*f. Let y be i(-3). Calculate the highest common divisor of y and 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46397 to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2657 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/60 - 6*m**2 - 7*m. Let w(h) = -203*h**2. Give w(o(i)).\nAnswer: -203*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 + f - 34. Let p be 85*3*4\/12. Suppose i - 2*i + p = 5*t, -3*t + 51 = 5*i. What is the remainder when h(5) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7918 is divided by 1123.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -342*y**2 - 765*y**2 + 27*y**2 + (-2*y + 0*y - 2*y)*(-2*y + 1 - 1) + 0*y**2 - 3*y**2 + 2*y**2.\nAnswer: -1073*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 5. Suppose -21 = -h*w - 6. What is the remainder when 4 is divided by 1 + 3\/w + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - z**2 - 2*z + 5567. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*z + 25*z**2 - 201*z - 6*z**2.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)*n*n*n*n\/(n*(n*n**(-1))\/n*n*n))**(2\/27)*((n\/(n\/n**3*n))\/n**(-5))\/(n**(-2\/3))**(2\/63) assuming n is positive.\nAnswer: n**(1201\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 391541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - m - 499, 2*p + 1767*m - 1764*m - 351 = 0. What is the highest common factor of p and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = 36*s. Suppose 0*b - 7*b + 3619 = s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/((-15)\/10) + 11\/(-44)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 - 7 = 0. Let p be ((-10)\/(6 - 1))\/(-1). Solve h*g = p*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i + 357*i = 34*i + 138*i - 9204 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000050841 rounded to seven decimal places?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 771289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.23, 0, -2\/23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18765 - -18765.3. Let m = 0.8 + 2.2. Which is the closest to m? (a) k (b) -5 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 555333 and 0.24.\nAnswer: 133279.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212271914?\nAnswer: 2, 3, 7, 4591, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*l - s + 1, -3*l + 5*s + 26 = 0. Suppose -3*r = 13 - 46. Let z = r - l. Calculate the remainder when 35 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.87 + -13.87. What is the nearest to 2\/7 in p, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 5*(2 + sqrt(1573))**2.\nAnswer: 231*sqrt(13) + 7885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-108)*(-297)\/(-2) and -5*29*(-1)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2635325.\nAnswer: 5, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.304495ng in grams?\nAnswer: 0.000000000304495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w + 0*w - 3*w + 7*w - 6*w + 5*w + (-1 + 1 + 1)*(-3*w - w + 2*w) + 0*w - 3*w + w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 4*h - 12. Let b(v) = -v**2 - v + 3. What is 26*b(p) + 6*m(p)?\nAnswer: -2*p**2 - 2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08856 to three dps.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237 and 134868484.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v = 30*v + 2*u + 20, 0 = -4*v - 3*u - 13. Which is the third smallest value? (a) -3 (b) v (c) 81 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13792480 divided by -13262?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -658 by -3.\nAnswer: 658\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o*w**2 + 2423*o - 159213*w**3 + 11 wrt w.\nAnswer: 4*o*w - 477639*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3\/3 - 8*y**2 + 18*y - 626. Calculate g(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -37.21.\nAnswer: -14.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289300 divided by 7?\nAnswer: 469900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - w = 2*q - 51, w = -q + 17. Let t = 26 - q. Suppose -3*p + 4*p + 2*y = 0, 4*p + 5*y = -t. Which is smaller: p or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6662 + -6660. What is the second biggest value in b, 25\/4, 2\/5, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65344964, -65344936, -65344918, -65344916, -65344936?\nAnswer: -65344984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 24*o - 72. Let n(k) = o*k + 6*k + 3*k - 17*k. Let j(z) = -155*z. Calculate j(n(u)).\nAnswer: -155*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + 265.\nAnswer: 264.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 20. Let m be z(0). Let l be m\/(-18) + 4\/(-6). Let k(a) = -a**2 + 2*a + 4. Let q be k(3). Are q and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -10210201201021202?\nAnswer: 10210201201022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-47 - -56) + (-2)\/2. Solve -13*f - t*f = -63 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 39 + 6 - (11 - (0 + 7))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/160 and -45\/78208.\nAnswer: 391040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 0.36. Which is the closest to -0.02? (a) x (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 264172590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 738746*j**6*t**2 - 4*j**6 + 21620*j**2*t**2 - j**2*t - 153*j*t**2 wrt j?\nAnswer: 88649520*j**3*t**2 - 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 5 + 2 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152379, -304748, -457095, -609408, -761675, -913884, -1066023?\n\"Answer: 2*u**3 - u**2 - 152380*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**3*v - 6217*i**3 + 9*i*v + 3163395*v wrt i.\nAnswer: 12*i**2*v - 18651*i**2 + 9*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwvwwwwv. What is prob of picking 2 v and 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161180 is divided by 2246.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + -1))**2 - sqrt(175) - sqrt(175).\nAnswer: -170*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -26*l + 106. Determine v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-9)\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*q + 202 + 4508 = 0 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2 and 71\/812847.\nAnswer: 1625694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 - 3.65. Sort u, 0.1, -0.5, -5 in decreasing order.\nAnswer: 0.1, u, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.381 - -1.44. Let x = -0.139 - w. Round x to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**4 - 36*i**3 + 30*i**2 - 12*i. Let m(g) = -11*g**4 + 36*g**3 - 30*g**2 + 11*g. Let f(h) = -4*m(h) - 3*o(h). Suppose f(x) = 0. Calculate x.\nAnswer: 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29193893?\nAnswer: 1571, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1931\/72 + -238\/9. Let t = 8 - 8. Suppose -2*o = t, -2*b + 3 = -5*b - 3*o. Sort 0.5, b, n in decreasing order.\nAnswer: 0.5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513616?\nAnswer: 2, 13, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1257951*g + 1402740.\nAnswer: -1257951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3966693238 - 0.61?\nAnswer: -3966693238.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:20 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 147658862119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, 137, 435, 849, 1379?\n\"Answer: 58*v**2 + 8*v - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0 + -1)*3. Let c(q) = 103334*q - 2. Let u be c(k). What is u rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 904 - 170127?\nAnswer: -169223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17.64 in -2, -5, 878?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/180 + 7*s**5\/120 + 17*s**4\/24 + 2*s**3\/3 + 9*s**2\/2 + 77. Let j(d) be the third derivative of u(d). What is j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*p + 10. Suppose 0 = -4*w + 3*u + p, 2*w - 5*u + 0*u - 23 = 0. Solve 4*q + w = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -35. What is the nearest to 0.1 in -5, b, 26?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 19*j**2 + 47*j - 11. Let b be p(-16). Solve -11 - b = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 517 - 539 + 2142 - 542 - 544.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 97 (b) 4239 (c) -0.5 (d) 4\/7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15580*t - 5*j + 10 = 15585*t, -4*j = 6*t + j - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from uufftuffrutfunfuf.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/10 + (-4)\/10. Let b = 1.04 + -1. Let f = b - 0.44. Sort s, f, 0.4 in descending order.\nAnswer: 0.4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n - r, 1 + 13 = 4*n + 2*r. Solve -4*y = -c - n, 3 = -y + c - 0*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 398, 581, 744, 881, 986, 1053?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d = -16*d + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deoyydv. Give prob of picking 1 y and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12962*z**3 + 10270*z**3 + 5 - 9*z**2 - 13*z - 31736*z**3 wrt z.\nAnswer: -51024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Let a = -378.9029 - 0.0971. Let l = a + 381. What is the third smallest value in 4, l, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from hhhhhhhhahhah.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -w - 51 + 68, 5*w + 31 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2522 divide 206289512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241480404 and 6072.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 396*z**2 + 29*z - 24. Is 72 a factor of j(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-5 - -12 - (-3 - -19)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxxvxxxxexxeooexxvx. What is prob of picking 1 v and 2 o?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 20\/891697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7)\/((-32)\/(-8640)*-50)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711855?\nAnswer: 3, 5, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76294 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.92996 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 1 = 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 687. Let k = 620 + d. Put 1\/5, 1.48, k in decreasing order.\nAnswer: k, 1.48, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 463, 692, 919?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(6\/(-18)*-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 920?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - -4) + -8 - 19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 12*a = 0. Suppose 12*g - 9*g = 3*z + 3, a = -2*z + 6. Solve -4\/7*u**2 + 2\/7*u**5 - 4\/7*u**3 + 2\/7*u + 2\/7 + 2\/7*u**g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 19*x - 1938. Let d = x - 102. Let w = -8 + 40. What is the remainder when w is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412\/(-3502) - 720\/(-64)*2\/119.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let o(r) = -14*r + 37*r - 19*r + q. Calculate o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7070031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 385*a**3 - 380*a**3 + 4*a + 0*a**2 + 5*a**2 - 9*a. Calculate j(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose q = -4*f + 29 + 7. Solve 3*r + 0*s + f = -3*s, 0 = -2*s - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/2 + 412*n + 84872 = 0.\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 319\/185 - 12\/37. Suppose 3*q + j + 24 = 2*q, 5*q + 126 = -2*j. Calculate the common denominator of 148\/63 - q\/117 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 + 13422188*p - 53688816 = 0.\nAnswer: -3355551, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.9 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejnnzlnljeejejjrl. What is prob of picking 1 e, 2 n, and 1 j?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54, 213, 478, 849?\n\"Answer: 53*f**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -15.08. Is o > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 11. Let x be p(8). Let m(l) = 37*l - x*l + 3 + 7. Is m(5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2*0*(-1)\/10. Solve -2*y + 4 + l = 0, -j + 5*y = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10137029, 20274057, 30411085, 40548113, 50685141?\n\"Answer: 10137028*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*v - 3319 + 668, 0 = 3*v + 5*c - 1572. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36866535 or -36866534?\nAnswer: -36866534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 6*u**3 - 4*u**3)*(1 - 1 + 1)*(149 - 95 + 16).\nAnswer: 70*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmq when three letters picked without replacement from wdzzlmwlmldzlwwmdmdq?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:04 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26271 - 26181. Let t(p) = p**2 - 9*p + 14. Let u be t(11). Calculate the greatest common factor of d and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 17. Let s(o) = -k + 6*o - 4*o + o - o**3 - 2*o**2. Calculate s(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 11*w**2 - 10*w + 70. Let y = -369 - -386. Is i(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 93.02. Let z = p + -0.02. What is the nearest to z in 0.4, 5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r - 2. Suppose -5*p + 6 = -3*p. Let d(v) be the second derivative of v**4\/6 + 2*v**3\/3 - 3*v**2\/2 + 9*v. Give p*m(z) - 2*d(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from ladlzaff?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16043 or 2\/2783?\nAnswer: 2\/2783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 8:26 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55152 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-17)\/9*(5 + -2). Let j be (30\/18)\/(2\/6). Suppose -j*z - 18 = 2*p, -2*p + i = -4*z - p. Sort z, 2, 25 in descending order.\nAnswer: 25, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/78 and 71\/66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-309 + 273 + 265)*(-13 - z + 21 - 15) to the form i + y*z and give i.\nAnswer: -1603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 1428*g**2 + 339864*g + 26962544.\nAnswer: 2*(g + 238)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, 2\/13, -2\/15, 4 in decreasing order.\nAnswer: 4, 0.3, 2\/13, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/14*(-840)\/18*182\/(-910).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - q - 4. Let l(s) = 4*s**2 - 2*s - 7. Suppose 4*a + 4 = -2*d, d + 5*a = 3*d - 32. Let u be (-6)\/9 - 26\/d. Give u*x(n) + 3*l(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662.6786 millilitres to litres.\nAnswer: 0.6626786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**3*v**3 + 22*n**3*v - 15*n**3 - 21*v**4 wrt v?\nAnswer: -24*n**3*v - 252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + -579*(1 - 0). Let g = m - -684. What is the lowest common multiple of 22 and g?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81326, -326243, -734438, -1305911, -2040662, -2938691, -3999998?\n\"Answer: -81639*y**2 + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1144448606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 + c**2 + 8*c - 4. Calculate the remainder when a(6) is divided by (2 - 16)*(-18)\/21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-4) + 1)*4*-5. Suppose -f - 4*t = t - 12, -3*f + 4*t = 21. Let q be (c\/(-25))\/(f\/(-30)). What is the greatest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.078 (b) 0 (c) -1\/5 (d) -4 (e) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5072 or 2\/164123?\nAnswer: 5072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1870369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288542813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/((-2)\/4). Suppose o*h + 114 = 5*i, -2*i + h - 4*h = -54. Suppose -p - i = -4*p. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-116)\/(-16) - 1\/4. Suppose -5*s = -2*s - 3*i - 15, -5*s - 4*i + g = 0. What is the first derivative of 4*w + 2 - s + 2 - 2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -3)*2\/54. What is the closest to 0 in j, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 80200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -5.5, 9, -361?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34366, 34367, 34368?\n\"Answer: m + 34365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, 4, 56, 116, 178, 236?\n\"Answer: -d**3 + 13*d**2 + 6*d - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = -0. Suppose 11 + 1 = o*l. Calculate the highest common factor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 194*f**3 + 55*f**2 - 195*f**3 - 38 in the form q*f**2 + x*f + t*f**3 + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/889?\nAnswer: -3\/889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75024 divided by 24.\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-8) + 1\/4. Let k = c - -9. Calculate the greatest common factor of k and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5509 and 540669?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 29*v**2 + 4*v + 2. List the prime factors of o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6\/5*x**2 + 3\/5*x**5 - 6\/5*x**3 - 3\/5 - 3\/5*x**4 + 3\/5*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/25, 31, -5 in ascending order.\nAnswer: -5, -0.5, -2\/25, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, s: 1, b: 5}. What is prob of picking 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 860461 - 80020535\/93. Let h = l + 6\/31. Let o = -623\/24 + h. Is 0 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 7, t: 3}. Give prob of picking 4 k.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 4*w - 4, 5*t - 56508*w = -56505*w - 54 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/28 - 20\/140?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/12648 and 37\/11067.\nAnswer: 88536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662791956 + -141.2?\nAnswer: -1662792097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - t - 10 = 0, -5*c + 0*t + 3*t - 90 = 0. Let i be (-12)\/18 + (-250)\/c. Solve 4*f - i = 0, 3*x = 6*x - 5*f + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from yhqewqyeyeyyqny?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:57 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.76697 and -130?\nAnswer: 134.76697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4268 = -4*a - 5*k, -a - 9*k + 1078 = -5*k. Factor -a*y**2 - 2*y**3 + 2*y + 1062*y**2.\nAnswer: -2*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -16. Let n(c) = -c**3 + 7*c**2 - 8*c + 8. Let h be n(v). Let y(o) = -o - 2*o - 5 - 2*o - o**2. Determine y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21346 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 647551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8251, -3832, 3519, 13802?\n\"Answer: 1466*b**2 + 21*b - 9738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4429.62 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242.9 + -45.9. Let t = y - 300. Let g = 103.77 + t. What is g rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 1899*m**5\/5 + 320*m**2 - 3*m - 1816. What is the second derivative of l(r) wrt r?\nAnswer: 22788*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-107)\/(-2))\/(25\/(-150)))\/(-1). Calculate the greatest common divisor of w and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/(-3)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -25. Solve -n = v - 5*v - d, -3*v = -3*n - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155226149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.1 + 30. Which is the nearest to -4? (a) k (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 v when four letters picked without replacement from {z: 4, m: 3, u: 6, v: 3, a: 2, g: 1}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/28)*w\/(w*w\/w**(1\/11)))\/(w*w**(-3\/2)*w*w*w*w*w\/w**(-2\/11)) assuming w is positive.\nAnswer: w**(-1711\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23\/9 - (-28)\/63. Let h = 2 + 2. Suppose f = a*f + 3*y - 16, 3*y = -h*f + 20. Sort 5, f, -5 in decreasing order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 0.595?\nAnswer: 0.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n + 85*n + 7 = -l + 2, 0 = n - 0*l + 3*l - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 bigger than 5\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h. Let f(o) = -o. Let u(s) = -12*f(s) + n(s). Let l = -24 - -26. Let d(k) = -2*k + k - l*k + 6*k. Determine d(u(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 16*z**2 + 60*z.\nAnswer: z*(z - 10)*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 26*q - 9. Determine v(-25).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-88)\/312805) + 14\/28. Let r = -7110 + c. What is the common denominator of r and 149\/84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4072 and -3?\nAnswer: -12216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45976700 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 696*q**2 - 48003*q + 1015746.\nAnswer: -3*(q - 127)*(q - 62)*(q - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.0581?\nAnswer: -1.9419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1979, -2839, -3699, -4559, -5419, -6279?\n\"Answer: -860*x - 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 75. Let t = -980 + 983. Solve -2*k = t*c + 6, 5*k + 5*c + j = -0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-1)\/(-10))\/(10\/20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 54*q**2 + 5*q**2 - 61*q**2. Let o(i) = -478*i**2. Determine o(u(z)).\nAnswer: -1912*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44437, -88852, -133243, -177610, -221953, -266272, -310567?\nAnswer: -354838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 2. Let y be z(-5). What is the highest common factor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - 174\/15. Let l = 17 + j. Suppose -4*z + 157 = l*c, 4*z + c - 104 - 49 = 0. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 11*j + 54. Let s be c(12). Suppose 5*m = -95 + 15. Let x = 37 + m. Calculate the greatest common factor of x and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158730 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 2*z)*(0 + 1 + 1) - z + 0*z - 2*z - z - 2*z + 2*z + (-55 + 30*z + 55)*(2 - 3 + 3).\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464624233.\nAnswer: 3, 179, 10176209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12332112131 (base 4) to base 9.\nAnswer: -3385802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -21*a + 1. Let k(j) = -j - 101. Calculate k(p(g)).\nAnswer: 21*g - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -15, 0.2, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 - 207524*a**3\/5 + 10765514974*a**2\/5 + 21534142908*a + 53837951445.\nAnswer: (a - 103767)**2*(a + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 436758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/15 - 13*x**2\/2 - 9*x. Let i(d) be the first derivative of o(d). Let c(j) = 6*j**2. Calculate c(i(h)).\nAnswer: 96*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 21*b + 19*b - 42, -2*b = -3*p + 56. Let g(k) = -k**3 + 9*k**2 + 3*k + 8. What is the remainder when g(9) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -105 + 627. Let r = 337 + s. Let y = -54 - r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -294, -588, -870, -1134, -1374, -1584, -1758, -1890?\n\"Answer: o**3 - 301*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 - 5*n + 4. List the prime factors of w(3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 v, and 1 m when four letters picked without replacement from wwmmmwvwvmmmvwmv.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/59 - 223\/1239. Let u(l) = 2*l - 3. Let t be u(2). Is t not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 32*b + 8 = -28*b, 0 = -5*x + 2*b + 2. Do x and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 12 (c) -1 (d) 0.3 (e) 95912\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654 = -295*j + 422*j - 2312 - 1517 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.10670758 + -0.6.\nAnswer: 0.50670758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arxaalrkarrrkurlrkk. Give prob of sequence lklr.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.04 - 37.3. Let n = -0.74 + d. Put -1\/4, n, 4, -2\/5 in descending order.\nAnswer: 4, -1\/4, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/27*9\/(-15). Let f = -12.7 - -13.1. Let z be (-7)\/(-2)*108\/3213. Sort z, f, -0.21, u in decreasing order.\nAnswer: f, z, u, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y + 19*y + 24*y - 8*y to the form g + h*y and give h.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 75, 81, 91, 105, 123?\n\"Answer: 2*d**2 + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751, 1405, 2041, 2653, 3235, 3781, 4285, 4741?\nAnswer: 5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, -0.023595?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.629 - 0.745. Round m to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + sqrt(6)\/sqrt(3) - sqrt(2) - sqrt(2)))**2 + (sqrt(64)\/sqrt(4))\/sqrt(8) + 3 + (sqrt(4)\/(4*sqrt(2)) - sqrt(32)*2).\nAnswer: -27*sqrt(2)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*c = -12 + 43, 2*j + 3*c - 21 = 0. Which is bigger: 7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -61299*j**3 + 3*j**2 + 33*j + 31. What is the units digit of m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/3)*c**(4\/5))**(2\/57))**21 assuming c is positive.\nAnswer: c**(-182\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 11*d**2 - 5*d + 54. Let l be t(11). Sort -10, l, -3 in increasing order.\nAnswer: -10, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, -0.2, 6010?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1240 - 322 = 3*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 57, 89, 123, 159, 197, 237?\n\"Answer: w**2 + 27*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**2 + 6*w + 3. Let u be l(-2). Let k = u - 35. List the prime factors of k\/(-22) - (-240)\/11.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**5\/60 + 2*z**3\/3 - z**2 + 3*z. Let j(b) be the first derivative of n(b). What are the prime factors of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 - 6*f + 5. Let u = -4 + 9. Let s be o(u). Which is the closest to -1\/2? (a) -0.3 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 103\/34 - (7 + -4). What is the second smallest value in -1\/2, -1\/7, a, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 5575. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k**2 - 6*k - 4. Let x be q(-4). Solve -2*o = 2*o + 3*a - 28, 3*o - 2*a = x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105072907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -575*u - 3762 + 3147 - 5959 - 3776 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qses when four letters picked without replacement from qeqeqqeqqqeeqqsse?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*i - 120 = 0, 3*n + 3*i = 4*i - 90. Let o = 52 + n. Calculate the least common multiple of 10 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 532 or 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79824427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 29 - 151 - 22*z - 149 - 42*z + 14. What is d(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 785345 + -785340. Let a = -0.5 - 0. Sort i, a, 0.04.\nAnswer: a, 0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 212.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3342024 by -63.\nAnswer: 53048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 0.35. Let c = 0.54999944 - m. Round c to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/18 and 17\/705?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 165 = -473. List the prime factors of v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -539, -20, -3\/5, -1, 0.4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-4))\/((-6)\/8). Suppose 187 - 169 = 6*o. Solve 0 = -o*z + r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 23 - 3. Calculate the highest common divisor of 12 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + r - r - r + r - r**2 + (3 - 7 + 3)*(0*r + r**2 + 0*r) - r**2 - 2*r + 2*r)*(11*r - 11*r - 5*r**2).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 26927\nAnswer: 619321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10471, -21020, -31569, -42118, -52667?\n\"Answer: -10549*t + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**6 - 22*n**5\/15 + 98*n**4\/3 - 704*n**3\/9 + 128*n**2\/3 + 32*n + 864. Solve r(a) = 0.\nAnswer: -6, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31575*n**3 - 2320*n**3 - 33411*n**3 - 2 + 2.\nAnswer: -67306*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 0.07, -20341, 0.5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k - 9. Give i(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92, -212, -330, -446, -560, -672?\n\"Answer: i**2 - 123*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 25*r**2 + 11*r - 51. Determine v(25).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32c7881 + -7?\nAnswer: -32c7888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:46 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4914 divided by 182\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or -3511?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**5\/60 + g**3\/3 - 2*g**2 - 2. Let z(d) be the second derivative of a(d). Find the first derivative of z(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405585578 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*c - 13391*c**2 + 217*c + 13398*c**2)*(-2 + 0 + 5).\nAnswer: 21*c**2 + 525*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1710282990.\nAnswer: 2, 3, 5, 13, 23, 190667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = c - 436. Suppose -2*q + 3153 - c = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 25. Let v(q) = -q**3 + 11*q**2 + q - 2. What is the units digit of v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11592 and 2305359.\nAnswer: 18442872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7*k)\/(k**(-6)*k))**(6\/19)\/(k**(-3\/8)\/k**(1\/5)*k\/(k*k**(3\/4))*k*k*k**(-5)*k*k*k*k) assuming k is positive.\nAnswer: k**(3367\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8334 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 408, 410, 412?\n\"Answer: 2*f + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*-1*-6 - -3*(sqrt(112) + -1).\nAnswer: -3 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l + 14. Suppose g + 0 + 1 = w, 4*w - 3 = 5*g. What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1338*d**4 - d**3 - 2*d**2 - 177*d - 2 wrt d?\nAnswer: 16056*d**2 - 6*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0*p - p + (-6 + 0 + 4)*(2*p - 1 + 1) + (0 - 9 - 11)*(-2*p - p + 2*p) + (-75 - 16 - 17)*(4 + p - 4).\nAnswer: -91*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*l - 2198, 0*l - 5*l - 10900 = -5*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -545.991368097?\nAnswer: 545.891368097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 - y - 1. Let i be b(-1). Solve 0*f - i = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 8, 4*t = 3*o - 0*o - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) -0.1 (b) 0.1 (c) 31\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*((sqrt(637)*2 - sqrt(637))*4 + sqrt(637) + sqrt(637) + 2*sqrt(637)*-2 + -3 + (3 + sqrt(637) + -4*sqrt(637)*1)**2).\nAnswer: -896*sqrt(13) + 45912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(425) - (2*sqrt(153))\/sqrt(9) - sqrt(136)\/sqrt(512))**2.\nAnswer: 55233\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -337, -474, -619, -772?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 268313*l**2 + 433517*l wrt l?\nAnswer: 536626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006935 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 5*h**2 + 5*h - 2. Let b be 4750\/(-30) + (-2)\/3. Let q = b - -248. Calculate the remainder when q is divided by x(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45236202 is divided by 45236201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2674 (base 13) to base 11.\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t + 36*t + 64 = 96*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -30*d + 18. Let o(f) = 15*f - 9. Suppose -21 = 6*j + 9. Let l(n) = j*o(n) - 2*c(n). What is the first derivative of l(g) wrt g?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 5*q + 1. Let r be s(5). Suppose 0 = h - 4*t + 23, 3*t + 5 - 17 = 0. Let p(i) = i + 9. Let a be p(h). Put 0, a, r in descending order.\nAnswer: a, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let f(r) = 11. Let y(j) = -278*j - 110. Let l(t) = -30*f(t) - 3*y(t). Determine l(z(c)).\nAnswer: -834*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 5*p + 16, -l + p - 2 = 0. Suppose 146 = -l*u + 50. Is 10 a factor of (2 + u\/10)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (2 - (8 + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47981512 and 6?\nAnswer: 47981506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**6\/720 - c**5\/120 + c**4\/24 + 2*c**2. Let p(v) be the second derivative of d(v). Determine p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 26*c - 1 + 30*c. Let h(w) = -2*w**2 - 3*w. Determine 2*d(l) + h(l).\nAnswer: -2*l**2 - 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 170\/(-20)*7\/(-14)*(0 - -4). Let o(p) = 4*p**2 - 71*p + 50. Determine o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 418\/(-12 + -10) + -9?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -2769.5?\nAnswer: -2764.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(66)*6)\/(sqrt(36)\/(sqrt(66)\/(sqrt(11)*3))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 39 - 2*y - y - y. Let z(w) be the second derivative of -w**3\/2 - 22*w - 30. Give f(z(o)).\nAnswer: -3*o + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -12)*2\/6. Suppose 0 = -0*f + 4*f - 16, 52 = 4*x + 4*f. Let d = 17 + -10. Solve -o + 7*u = 2*u - x, 3*o - d = -l*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*x**2 - 4*f**2 - 3*f*x**2 - f*x - 22*f wrt f.\nAnswer: -10*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.382 * 0.04.\nAnswer: -0.25528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10a8c0ee - -2?\nAnswer: 10a8c101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 + -6. Let o be 23\/(-4) - (72\/32)\/(-3). Let u be ((-455)\/84 - o)*(-3)\/(-1). Put -3\/8, u, 2, p in increasing order.\nAnswer: u, -3\/8, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**2\/2 - o + 1. Let w(j) = -j**3 - 2*j - 2. Let l = 1 + -3. Let c(k) = k + 4. Let a be c(l). Determine a*w(v) - 4*n(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 4*r. Let c be 204\/(-2)*(-3 + -4)\/7. Suppose -6*o + 66 = c. Give h(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/5)\/(3\/10). Suppose a*v = 4*i + 24, -v = 4*v - 4*i - 35. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/4 + 2*d**3 - 5*d**2 + 50*d + 3934. Determine z(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 3*j + 3. Let u be z(-2). Let b(x) = x**3 + 23*x**2 - 45*x - 1022. Let y be b(-23). Calculate the highest common factor of u and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-370 - -357) + 118 + -3 + 7.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3330905.98 times -4\nAnswer: -13323623.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27228 is divided by 162?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -5*s + 3463. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) -2 (c) 0 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208\/7 - -30. Let j be 24\/14 - (2 + -2). Let i = j + -41\/28. Is f < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -4*n. Suppose -3*m + 355 = -8*m + n*v, 0 = -2*m + v - 140. Let j be -3 - (m\/(-21))\/(-1). Put -1\/3, -1, 2, j in decreasing order.\nAnswer: 2, j, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5934265 weeks to nanoseconds.\nAnswer: 358904347200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**3 - 16*j**2 - 98*j - 5. Let h(x) = -9*x**3 + 10*x**2 + 65*x + 3. Calculate -8*h(a) - 5*k(a).\nAnswer: 2*a**3 - 30*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(80) + 2 - sqrt(80)))*-5 + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1726*t**3 + 11201 - 11201)*(-2*t**2 + t**2 + 0*t**2) + 0*t**5 + 2*t**5 - 4*t**5.\nAnswer: -1728*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-1)*8\/(-20)*520\/(-208)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22211 and -909.\nAnswer: -20189799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33902 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -226951 and -0.01.\nAnswer: 2269.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3\/6 - b**2\/2 - b\/2 + 26. Solve k(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3685*k = 219*k + 79718 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j - 9. What is the remainder when 17 is divided by (-1 - 1)\/(3\/j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3555 + 10718 + 3*l**2 + 4*l**3 - 3552 - 3611 - 3*l**2.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134007 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v - 41*v = 459 + 216 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -599 in 1\/4, 0.2, 2, 2\/7, -5, 0.839?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) -242 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371426231 to the nearest integer?\nAnswer: 19272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/4, 4, 9.5 in decreasing order.\nAnswer: 9.5, 4, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**3 - 66717*r**2 - 334100?\nAnswer: -6*r**2 - 133434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 260*a**2 - 254*a - 1834. Determine q(261).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22364*l**3*r**2 - 646*l**3*r*s + 22*r**2*s - 2*r**2 wrt s.\nAnswer: -646*l**3*r + 22*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230201 (base 4) to base 2.\nAnswer: -101100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4))**(-5\/13))**(-48) assuming t is positive.\nAnswer: t**(-60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 times -2?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 29999*w + w**2 + 30361*w)*(3 - 4 + 4).\nAnswer: -6*w**2 + 1086*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 26*l + 73. Give z(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssassnnsastsasks. What is prob of sequence sak?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/9 - 13\/36. Let t = 9\/11 - 65\/66. Which is the second biggest value? (a) t (b) s (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - -20. Let j = c + -83. Suppose -3*h + 44 = 2*n, 0 = 2*h + 2*h - 4*n - 52. What is the remainder when j is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-7))\/(6\/(-42)). Let m(a) = 0*a - g - 2*a + 6. Let p(f) = 6*f - 8*f + 4*f. Give m(p(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1676 and 36.\nAnswer: 15084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 372077920 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/5)*b)**37)**(-3\/35) assuming b is positive.\nAnswer: b**(-888\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/4 + u**3 - 3*u**2\/2 + 9*u + 595. Give r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10\/3 + -2. Find l, given that 1\/3 + g*l**4 - 4\/3*l**3 - l**2 + 2\/3*l = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 113151452*o + 1600406386213538.\nAnswer: 2*(o + 28287863)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*a**4 - 9*a**3 + a**2 - 127387*a - 1 wrt a?\nAnswer: 876*a**2 - 54*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2381453 - -2124298.3. Let s = n - -257076.69929. Let y = s - -78. Round y to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/400 (b) -2 (c) 0 (d) 4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:26 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 57?\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*4)\/sqrt(8).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1217*o**2 + 2*o - 2. Let z be g(-3). Let q = 656729\/60 - z. Let i = -4\/15 - q. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 - 4 + 4 + 27*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**7\/840 - 7*m**6\/360 - m**5\/15 + m**4\/24 - 7*m**3\/6 + 4*m. Let a(o) be the second derivative of q(o). Give a(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-22))\/(((-2)\/(-18))\/((-47)\/((-53721)\/2794)))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in seconds?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Suppose -2*g - 8 = -4. Let k be c(g). Solve -k = -r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352808371 is divided by 12801.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2\/5 + 4248*c\/5 + 1127844\/5 = 0. Calculate c.\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2135, 2120, 2105, 2090?\n\"Answer: -15*q + 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1\/5, 13 in increasing order.\nAnswer: -18, 1\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -643, -1345, -2047, -2749, -3451, -4153?\n\"Answer: -702*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5870, 23457, 52766, 93797?\nAnswer: 146550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23766253?\nAnswer: 7, 463, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075011 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46400 bigger than 139199\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.2. Let t = -354 - -353.9. Let l = p - t. What is the third smallest value in l, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/55644?\nAnswer: -1\/55644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*3*6 - sqrt(114)*-1*5)\/(sqrt(48)\/sqrt(200) - (sqrt(6) - (sqrt(120)\/sqrt(5))\/sqrt(4))) + 5.\nAnswer: 5 + 115*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -10*o. Sort -7, -3, o in ascending order.\nAnswer: -7, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (485 - 568).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 0\/(7 - 3). Let t be 23\/u + (-10)\/35. Solve -n = 2*c + t*n - 10, 0 = c + 5*n - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1118 + 176*g + 17*g + 98*g - 306*g + 184*g wrt g.\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 4, -2, -4 in decreasing order.\nAnswer: 16, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 2368?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 18*t**3 - 2*t**2 + 4*t - 4. Suppose -3 = 365*a - 368*a. What is the remainder when 236 is divided by l(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + -1 + sqrt(425) - sqrt(425)))**2 + ((sqrt(68) - ((sqrt(68) - -3*(sqrt(68) + sqrt(68)*2)) + sqrt(68)) - sqrt(68))\/(sqrt(24)\/sqrt(54)))**2.\nAnswer: 18577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 170 + 547962?\nAnswer: 548022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (3 + (-3)\/3). Suppose -25 + 40 = 3*t. Let s = t - g. What is the greatest common factor of 11 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35322 or -35318?\nAnswer: -35322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2961, 3301, 3545, 3429, 2689?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 32763323131.\nAnswer: 32763323131.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1089.303937 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2377.25 micrometers?\nAnswer: 2377250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) 4 (b) 4\/3 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(-2\/11)*t*(t*t**7)\/t*t\/(t\/(t*t**(-6))) assuming t is positive.\nAnswer: t**(161\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k**3 + 567*k**2 + 2*k + 29. Give z(-27).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + -0.08. Let p = 0.23 + c. Is 0.2 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 1 - 5\/12*q**4 + q**2 - 1\/2*q**3 + 3*q. Let n(i) be the first derivative of l(i). Factor n(m).\nAnswer: -(m + 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 7. Suppose 0*o + 2*t = -o - 3, -o + 4*t = 3. Let f be -2 + 1 - o - 0. Suppose 10 = f*h - 2. Let r(p) = 11*p - 20. Determine h*r(k) + 17*z(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 10. What is u(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 + 251 = 5*r - 2*l, 2*l - 78 = -r. Let c = 6007339\/75280 - -1\/15056. Let n = r - c. What is the smallest value in -4\/3, 1\/4, -1, n?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 25 = -8*s. What is the units digit of (-76)\/(-10) + (-2)\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -28*u + 198. Suppose 73*o = 90*o - 136. Let w be m(o). Is -18 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 18 = 4*h, -2*h + 5*h - 2*s = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 6. Let y be s(5). Let n be (-35)\/(-2) - y\/2. What is the greatest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 941 + -866. Calculate the highest common divisor of x and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 93 - 27. Let i be (-8)\/c*5\/3. Suppose 0*s = 3*s + 7*s. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521bd (base 16) to base 9.\nAnswer: -562305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -2*u - 0, g = -5*u + 22. What is the remainder when 44 is divided by -3 + 28 + (0 - g)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 13. Let z(c) = 3*c**2 - 30*c - 8. Let k be z(15). Let q = k - 153. Suppose 6*o = 22 - q. Let b(l) = 3*l + 9. Calculate o*b(a) + 5*m(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6910606 milliseconds to microseconds.\nAnswer: 691.0606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88576977 to the power of 1\/2, to the nearest integer?\nAnswer: 9412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/648*(-8)\/7. Let u = 34\/63 + r. What is the smallest value in -0.4, -5, u, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026480 divided by 35.\nAnswer: 29328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 + 121968*s**2 + 1463697*s\/2 + 1097793.\nAnswer: -3*(s - 81318)*(s + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*16\/(-408)*(1 - 2)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288516\/5285 + 9\/1057. Let l = -55 + t. Let i = -0.0178 - -0.0478. What is the second biggest value in i, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 230, 351, 472?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2568*k - 2619*k - 4 + 5 to u + x*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 8.8, 0, 88, 3, -25 in increasing order.\nAnswer: -25, -2\/3, 0, 3, 8.8, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:58 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265*a**2*c**3 - 56*a**2*c*k - 8*a*c**3*k + 201*a*c**2 - 2*c**3*k - c**2 wrt a.\nAnswer: -530*c**3 - 112*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -2. Suppose d*m - 4*m = -10. Suppose -2*j + 7 - 1 = 0. Put 4, j, m in descending order.\nAnswer: 4, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 12501.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*2\/11*(-188)\/470.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.694 and -40.824.\nAnswer: -40.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 125*o + 909. Let r be q(9). What is the highest common factor of r and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = 3*t. Let i be (-7)\/2*(-9 + t). Let m = i - 27. Solve -3*n = -f - 4 - 7, 0 = -n + 5*f - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-9\/8)*k**(-28))\/(k**7\/(k**(-18\/7)\/k)) assuming k is positive.\nAnswer: k**(-2167\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1682 (b) 0.03 (c) 5 (d) -0.4 (e) -155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (47 - 27)) + 34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 11*b = -9, -9 = -11*j + 9*j + 5*b for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 2, x: 2, q: 1, b: 1}. What is prob of sequence hb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*f - 17, -2*l + f = -f + 8. Let o = -1.1 - -1. Let h be 21\/1365 - (-2893)\/(-2145). Which is the nearest to 5? (a) l (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300)*2 + sqrt(300) + 2 + sqrt(300) + 0 + sqrt(300))*-5)**2 + 4.\nAnswer: 5000*sqrt(3) + 187604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -226055\/653 <= -346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 490776, 981548, 1472320, 1963092, 2453864, 2944636?\n\"Answer: 490772*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 12*x + 165. Calculate the greatest common divisor of x and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.92 - -59. Let o = q + -0.08. Sort -5\/6, o, 1, -1\/8 in descending order.\nAnswer: 1, -1\/8, -5\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47579755231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/5))\/p*p**(-3\/4))**(-14\/3) assuming p is positive.\nAnswer: p**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2*q**2 + 7\/24*q**4 - 7\/120*q**6 + 1\/42*q**7 - 1\/20*q**5 + 0 - 1\/3*q**3 + 0*q. Find d such that k(d) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 4)*42*(-11)\/(-2). Calculate the highest common factor of p and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 5.3390657\nAnswer: 21.3562628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*c - 6. What is the units digit of (2\/c)\/(4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129.039 + 129. Let w = 0.03901248 + g. What is w rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72.91 + 73. What is the second biggest value in -2\/3, v, 5, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*a + 0 - 66*a + 1)*(-2 + 2 + 3).\nAnswer: -69*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 7414 + 49178. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46290 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 31\/4*k**4 + 0*k**3 + 7*k + 0*k**2 - 29. Find the first derivative of d(w) wrt w.\nAnswer: 93*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) -4.1 (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2584 = 3*x - 3*c - 9124, -3*x + c + 6534 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 0.058. Let w = -0.01932 - s. What is w rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 195 = 0. Suppose -2*q - 10 = -4*p, -132*q + 133*q = 3*p - 10. What is the greatest common divisor of q and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301 and 77?\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 5*j + 4. Let i be y(-5). Let f(l) = -l + 1. Let r be f(i). Is 1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -1693*m**7\/7 + 4*m**5\/5 - 175*m**3\/3 + 16*m + 11180. Find the third derivative of c(d) wrt d.\nAnswer: -203160*d**3 + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*u**2 + 2520*u + 388.\nAnswer: -(u - 194)*(13*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/14 or 2\/16729?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2273663 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 3. Let u(f) = f + 1. Let k be (3 - 0) + (7 - 9). Let i(h) = k*p(h) + 2*u(h). Determine i(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.133 + 0.033. Which is smaller: l or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6987.48ms to minutes.\nAnswer: 0.116458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -39. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 3186?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329352293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(448) - (2*sqrt(448) + 3 - sqrt(448)))*-4 + 2 - ((sqrt(448) + -3)*-6 + 2 + (-3*sqrt(448) - sqrt(448)))))**2.\nAnswer: -640*sqrt(7) + 44816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 2*d)*(2 - 4 + 1)*(-9360*d**2 + 9360*d**2 - 86*d**3 + d).\nAnswer: 172*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 9\/(-2)) + 165\/(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 3*s**4 + 0*s**4 + (-5*s**3 + 2*s**3 + s**3)*(-2*s - 2*s + 2*s) + (2*s - 3 + 3)*(s**3 + 2*s**3 - 4*s**3).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46618 (base 9) to base 15.\nAnswer: 934b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1676101040 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4114)*1 + sqrt(4114))\/(sqrt(288)*1 + sqrt(288)).\nAnswer: 11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11197834*l**3 + 8*l**2 + 256*l - 543.\nAnswer: -67187004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1225 in -2\/5, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-4\/9)*i)\/(i**(-2\/7)*i))\/(i**(3\/4)*(i\/(((i*i**(-6))\/i)\/i))\/i))**(-17\/3))**39 assuming i is positive.\nAnswer: i**(440453\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9897.37, 4 in ascending order.\nAnswer: -9897.37, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 14275?\nAnswer: 2\/14275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-999))\/(8\/6).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 26.3. Let n be ((-4)\/42)\/(2\/2). What is the closest to 1 in k, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 139*j + 391. Let i be s(-49). What is the second biggest value in i, 3, -11, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**6\/30 - 2*f**4\/3 + 14*f**2 + 18*f. Let q(c) be the first derivative of j(c). Factor q(d).\nAnswer: 4*d*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2655)*(-6)\/(-4). Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21120 (base 3) to base 9.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.5. Let z = -13 + 19. Let q be 1 + (-14)\/z + 1. Which is the nearest to -0.2? (a) q (b) 3\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**2*l**3 - 17513*k**2*l**2 - 310900*l**3*y + 4*l**2*y - 9*l*y wrt l.\nAnswer: -18*k**2 - 1865400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trvaqraqqrz. What is prob of picking 1 z, 1 v, and 1 t?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - w - w)*(133*w - 181 + 181) as f*w**2 + u + l*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 276 = 54*b. Let g(d) be the second derivative of -16*d + 5*d**b + 35\/12*d**4 - 5\/2*d**2 + 0. Factor g(a).\nAnswer: 5*(a + 1)*(7*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l + 6*l - 28. Let s be (-22)\/8 + (1 - -1). Sort -0.03, l, s in descending order.\nAnswer: -0.03, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = z + 7, 5*q + 17*z = 13*z + 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = 5. Let c = 0 - v. Suppose -c*o + 4*w = -21, 3*o - 17 = -0*o - 2*w. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/11149026 and -29\/12.\nAnswer: 22298052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2932 - -4.2932. Which is the closest to 0? (a) m (b) 0.5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 5*t - 5, -g = t - 6. Suppose g*n = -23 + 14. Let p(s) = -s - 1. Does 2 divide p(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5058 and 0.3.\nAnswer: -1517.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 25. Let k be (25\/j + 4 + -2)*2. Is 13 a factor of -4*1\/k - -35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 != 425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 4*h**2 - 7*h - 1\/12*h**4 - 1\/3*h**3 + 0. Let g be r(0). Solve 2*m = 5*k, m - 5*k + g = 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1723 = 687*s + 4762 + 4518 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f - 1. Let p be y(1). Let t be (p\/8)\/((-16)\/(-64)). Which is bigger: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:56 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1363802148 greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 19. Suppose -8*q = -10*q + l. Suppose -16 = -8*b + q. What is the least common multiple of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 18*n - 56 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0849546 to 3 decimal places.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*t - 71, 67 = -3*l + 5*l - t. Solve 3*y = 3*z, 5*z + 3 = -4*y - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -4*g - 1272. Is ((-8)\/(-32))\/(2\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 4*d - 5. Is 20 a factor of f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {c: 1, k: 3, b: 3, m: 1, j: 2, u: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7938 and 4998.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*-4)\/(sqrt(11) + -1*(sqrt(11) - sqrt(22)\/sqrt(2))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2021 divided by -14\nAnswer: 2021\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5535 and 34695?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 229*x = 227*x + 101, 0 = -2*n - 3*x + 79. What is the greatest common factor of n and 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 12 - 22. Let p = 11 + -10. Which is the nearest to p? (a) -0.3 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5 + 342*p**4 + 681*p**3 + 340*p**2 = 0.\nAnswer: -340, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:41 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 46*f - 195. Suppose -3*h = 15, 30*h - 26*h = -f*t + 280. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(-l - l + l + (2 - 2 - l)*(-2 + 3 - 3))*(-16 + 56 + 24) to the form o + v*l and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3159091.\nAnswer: -1\/3159091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*j**3 - 2 - 28*j**3 + 1264106*j - 1264106*j.\nAnswer: 79*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*2*1.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(2\/19)*a*a*a*(a*a**(-3\/5))\/a)\/(a**(-7)*a\/a**8*a) assuming a is positive.\nAnswer: a**(1663\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3113, 6235, 9345, 12437, 15505?\n\"Answer: -o**3 + 3129*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyu when three letters picked without replacement from {u: 1, t: 1, z: 1, d: 1, y: 2, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazii. Give prob of sequence aiz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -72. Solve -4*p - 3*p + v = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(-32)*m))\/m**(2\/31))\/(m\/(m*m**(2\/49)))**8 assuming m is positive.\nAnswer: m**(50525\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 3*u + 1. Let k be t(2). What is the second derivative of 44*i**5 + 4*i**3 - k*i**5 - 4*i**3 + 34*i wrt i?\nAnswer: 660*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96 plus -1.6?\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -276.7 + -3?\nAnswer: -279.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Suppose -480 = 2*l + 4*d, 0*l - 4*d = x*l + 948. What are the prime factors of l\/(-6) + 2\/(-3)*-3?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.6 + 12.6. Let f be (-94)\/18 + (-15)\/(-6)*2. What is the second smallest value in w, 6, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/((-4)\/(-548)))\/(11\/(-407)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 79*m**2 - 5. Let q(r) = -39*r**2 + 2. Calculate 2*f(z) + 5*q(z).\nAnswer: -37*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394431698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/9)\/((-2)\/6). Let f = 11 + h. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 1, -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 1. Let g(q) = -14*q + 35. Let n(p) = -3*a(p) - g(p). Differentiate n(m) with respect to m.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 14. Let l = -70 - i. Which is the closest to 1\/4? (a) -2\/13 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.234, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04164 less than -60016885889?\nAnswer: -60016885888.95836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(187\/(-34) + (4 - -1)). Find the third derivative of -45*o**y - 13*o + 1 - o**2 + 2 - 45*o - 3 wrt o.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 755516*v**3 + 755175*v**3 - 1510638*v**3.\nAnswer: 53*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43243 (base 6) to base 2\nAnswer: -1011100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3610)\/57)\/2 + 36.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000110 - 11010001100101110110?\nAnswer: -11010001010011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 375 - 986?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -1\/2, 23, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -1.5, -0.3, -14?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/20 and -65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 32*a + 4*a - 50 - 120*a**2 + 14*a. Suppose 3*q = 5*y + 31, 5*q = 4*y + 1852 - 1835. Let c(u) = 7*u**2 - 3*u + 3. Determine q*f(j) - 50*c(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2533*y**2 + 217844*y + 525. Calculate t(-86).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1664 - 1662. Let a(o) be the first derivative of -4*o**j - 1\/3*o**3 - 8*o - 25. Calculate a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29615 < 29615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 i, and 1 u when four letters picked without replacement from {i: 2, m: 1, q: 1, u: 4, b: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.457+941094\nAnswer: 941094.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 8 = -3*h + 4*k, -5*k = -2*h - 31. Let j be 1650 - 9\/h - (0 + -2). Let x(s) = -j*s + 1655*s - 3*s**2. Let p(t) = 5*t. What is p(x(z))?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002102 to six decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(2 - -2) - (-106)\/(-159).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19493692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -116 - -120 - 3\/((-3)\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 491*a + 10252 - 2396 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463 is divided by 247?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5348 a factor of 155056740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + s - 29, 2*j = -2*s - s + 3. Let a = j - -9. Is 3 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, t: 11, o: 2, k: 5}. What is prob of picking 1 t, 1 b, and 1 o?\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700\/3*g + 356*g**2 + 12*g**3 + 116\/3 = 0. What is g?\nAnswer: -29, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let a(c) be the second derivative of 23*c**3\/6 - 8*c. Give p(a(f)).\nAnswer: -1058*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 2832.784.\nAnswer: -2832.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -4*a, -a + 2*v = -v - 8. Let y(c) = -c - 1. Let b be y(-1). Is (-1 - (a - b))\/(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*o + 2, -4*o - 292*l + 4 = -294*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 28470191?\nAnswer: 1\/28470191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8764.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54351.1 and 0.1?\nAnswer: -5435.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12914 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and 87.75.\nAnswer: 101.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.236 - 0.736. Let k = t - 1.5. Which is the nearest to -0.2? (a) 0.3 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:11 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 3*t - 4*v - 79170, 4*v + 79149 = 3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112855 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -77*x**2 - 4*x. Let m(c) = -232*c**2 - 11*c. Calculate 8*l(p) - 3*m(p).\nAnswer: 80*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -33*g + 5. Let l(s) = -39*s + 7. Let y(f) = 4*l(f) - 5*r(f). Let z be (5 - 23)\/(-6) - (2 + 2). Calculate y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1500, 0.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(5\/(-10)*3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112*x**4 + 5*x - 2907.\nAnswer: -448*x**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/15)\/(2\/(-10) + 0). Suppose 0 = 2*c - 2*v - 38, c + 0*c + g*v - 23 = 0. Let s be (-16)\/c*(8 + -3). Put s, -15, -2 in ascending order.\nAnswer: -15, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445\/(-178)*(44\/275)\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + 2*o)*(99 + 71 + 0 + 88) + 3*o - 15 + 3 + 10.\nAnswer: 777*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d - 5*k + 3, 4*d = -2*k + 6. List the prime factors of (638\/(-290))\/(d\/(-170)).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = -292 + 241 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76601.43ng in micrograms?\nAnswer: 76.60143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**3 - 3*p**2 + p - 2. Let b = -3191 + 3194. Let g(l) be the first derivative of -3*l - 4\/3*l**3 + l**2 - b - 3\/2*l**4. Calculate 3*g(m) - 4*j(m).\nAnswer: 2*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/4)\/(9\/6). Let j be 1\/(p - (-28)\/(-16)). Solve j = v - 1, v + 15 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.6 + 302.4. Let g = -310 + t. What is the closest to -6 in g, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -62 - b + 62. Let l(m) = -5*m - 2*m**2 + 5*m. Calculate l(a(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*i - 27*i + 5 - 2.\nAnswer: -31*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -147*x + 888. What is m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b85 + -19?\nAnswer: b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 - 1.1. Sort z, 1, -3 in decreasing order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (11 + -30 + 6)) + -26\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 9:36 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/7 (b) 0.08 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -3, -100, 341, 4, 13 in ascending order.\nAnswer: -100, -3, 4, 13, 36, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*g*q**2*u**2 - 2*g*q**2*u + 3*g*q*u + 2*g*q - g*u**2 + 4*q*u**4 + 89 wrt u?\nAnswer: 76*g*q**2 - 2*g + 48*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 7*f + 400. Give v(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153608 is divided by 612?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -542 - -542. Let v be k\/((-6)\/(-30)*-5). Solve v = 10*w - 7*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(4 + -5) + 4. Find the third derivative of p*u**4 + 10*u**4 - 17*u**4 + 14*u**2 wrt u.\nAnswer: 744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*d - 4*o + 23, 5*d + 4*o - 31 = 0. Suppose 3*r = -2*y + 20 - 4, 0 = 5*r - 5*y - 10. Solve r*s + d + 13 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-9))\/(-1) + (-12)\/(-9). Suppose 0 = -k*l - 15, -4*v + 6*v - 730 = -2*l. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -4. Let b(t) = -4 - t**z + 0 - 3 - 11*t + 0*t. List the prime factors of b(-7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 131?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose j*a + 4*x + 20 = 0, -2*x + 5 = -3*a - 3*x. Suppose -42 = -2*z - a*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 6*z + 3. Let a be q(-5). Suppose -2*w + 2*j + 256 = 0, w + 2*j - 51 = a. What is the greatest common factor of 52 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + -98. Let x = 41 + w. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 34*v - 1398 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 26, -1\/76, -2?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 42 = -7*b. Let x = -13 + b. Suppose -2*g = -2*l - 38 - x, -4*l = -2*g + 56. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**14)\/(j*j**25*j*j*j))**(-2\/37) assuming j is positive.\nAnswer: j**(28\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and 53\/112512.\nAnswer: 337536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -17. Suppose 3085 = 11*f - o*f. Suppose -c - 3*n + f = 76, 2*c = 5*n + 1082. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13*t**2 + 12*t + 15. Let y(u) = -u. Let c(q) = -n(q) - 5*y(q). What are the prime factors of c(-3)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*z - 12, -3*k + 3 = z + 1. What is the first derivative of 13*s - 5*s**k - 5 - 13*s + 20*s**2 wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -0. Let w be (9\/1 - g) + -3. Let l be (4 + 0)*(w + -6). Solve 0 = -2*s + s - l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595571?\nAnswer: 595571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974994062?\nAnswer: 2, 7, 647, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Suppose -5*m + m + 94 = -3*a, k*m + 5*a = 56. Let i be 308\/14*(-2)\/(-4). What is the highest common factor of i and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20202221100 (base 3) to base 11\nAnswer: 91219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1751.9 - 1752. What is the nearest to 2 in -0.3, -0.5, 7\/2, a?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4705 (base 9) in base 3?\nAnswer: 11210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 66. Let x be u(-33). Let q be 52\/(-9) + 54 + -48. Which is the closest to q? (a) 14 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n - 103. Let o be b(33). Suppose 0 = -o*m + 126*m + 1478. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105, -20, 121, 318, 571?\n\"Answer: 28*l**2 + l - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60819385 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 680427\/(-17226)*2*1\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.039 + -0.039. Let f = 0.225 + -4.225. What is the nearest to 0.06 in -3, f, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -852 - -829. Let j(u) = 2*u**3 + 49*u**2 + 54*u + 50. Is j(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1977*c*j*q**2 - 16273*c*j*q - 3*c*q**2 - 9*j*q**2 - 31*j*q - q**2 wrt q?\nAnswer: -3954*c*j - 6*c - 18*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626018 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 + 3*t - 5. Let c = -4 + 8. Let r be u(c). Suppose -3557 = -4*f - x, -r*x - 2668 = -3*f - 8*x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/115 - 2946\/1265. What is the common denominator of i and 97\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 7*r - 64 = -4*q, 3*r = 4*q - 68 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*k = -5*s + 114, 0 = 2*k. Suppose -4*l - 155 = -4*g - 19, 3*l + 98 = 4*g. Let f = s - l. Calculate the highest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 24 + 2*k - 7 - 33.\nAnswer: 2*k - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 449772 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 18*m = -60 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - m**3 - 5*m + 26648*m**2 - 26647*m**2 - 4 to q*m + x + d*m**3 + i*m**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10136292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 67608.\nAnswer: 473256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 117*g + 529. Determine d(-5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 52920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1835 (base 12) to base 2.\nAnswer: 101101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 3214*v\/9 + 371404\/3.\nAnswer: 2*(v - 1101)*(v - 506)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 t = 1043 + -1011. What is the highest common factor of t and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001111109928 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -0.03018?\nAnswer: -2.03018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101222013 + -1222?\nAnswer: 101220351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -93. Let i = 1 + -0.8. Let n = i + 0.1. Which is the closest to 0.1? (a) n (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + r - 4*r - 17061 = -12*b, 0 = -6*r. List the prime factors of b.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010508 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 906190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 883864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 4*m + m**4 + (4 - 3 + 0)*(m**4 + 2*m**4 + m**4).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16))\/((-429)\/(-132))*-4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 31*l - 6900 = 0. Let n = l - -6413. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30996 and 11070.\nAnswer: 154980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.4. Let g = h + 1.2. Let v = g + -0.3. What is the closest to 1 in -1\/6, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 18 = 19*l. Let f(p) be the first derivative of 0*p**3 + 0*p**4 - 2*p - 5 - 3\/5*p**5 + 0*p**l. Differentiate f(m) wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**5 + 52893*g**4 - 105795*g**3 + 52899*g**2 = 0.\nAnswer: -17633, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 - 69*v - v**3 + 162*v + 86*v + v**2 to n + k*v**2 + h*v**3 + f*v**4 + z*v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 + -0.37. Let i be -1 - (-1 + 26\/56). Let t = 3\/14 + i. What is the nearest to t in -3, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 0)*(1806\/(-840))\/43\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from umtuxftfouum.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543973854 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -7*n - 4*w - 204, -604*n + 605*n + 3*w = -12 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1082, 6610, 21624, 50870, 99094, 171042, 271460, 405094?\n\"Answer: 791*f**3 - 3*f**2 + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*k = -0*g + 9, -3*g - 5*k = -1. Suppose 5*n + t - 64 = 0, -2*t = g*n + t - 36. What is the smallest common multiple of 6 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36905 and 98759.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1917891 rounded to 3 dps?\nAnswer: -11.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16451820.\nAnswer: 2, 3, 5, 7, 11, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Suppose 20 = -0*f - 5*f, k*w = 5*f + 28. Solve -w*p = 3 - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1617821 at most -1617826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-27)*w**(-3\/7)\/w)\/(w**20\/((w**(3\/25)*w)\/w)))**(-46) assuming w is positive.\nAnswer: w**(388884\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1326*n*y**2 - 12414*n*y wrt y?\nAnswer: -2652*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 98. Sort 25, -5, 1, c in descending order.\nAnswer: 25, 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*p = -1791 + 1913 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11741*n - 1326724. Give s(-113).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -92d67 (base 14) to base 15\nAnswer: -6ecb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*j**2 - 18*j.\nAnswer: -3*j*(13*j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 353285\/11 + 54\/297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/7, 3\/8, -5, 3.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 15*q**2 - 736*q + 2783. Calculate u(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**3 + 2*a**2 - a + 2. Let p(j) = -j + 1. Let g(r) = -2*p(r) + z(r). Give g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x + 6*x)*(-x**2 + x**2 - 2*x**4) + 15*x**5 - 29*x**5 - 14*x**5.\nAnswer: -32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 4*r + 4. Suppose 4*w - 20 = 0, 6 = -4*y + 4*w - 14. Let z be 1 - 2 - (y + 3). What is c(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 38760*b - 17. Let q(k) = -7*k. What is q(x(t))?\nAnswer: -271320*t + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 13*z**5\/30 - 7*z**2\/2 + 26*z. Let i(f) be the first derivative of u(f). Let g(h) = -h**2. Determine g(i(l)).\nAnswer: -676*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107496.\nAnswer: 2, 263437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/1455*94945\/(-17). Let a = j + -2\/97. What is the common denominator of 27\/8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019200.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwt when three letters picked without replacement from {w: 7, t: 1, s: 3, u: 6}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 694755 less than 694796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -85, 1, -1, 123 in decreasing order.\nAnswer: 123, 6, 3, 1, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011100101 (base 2) to base 11.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -8\/37 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/8, 0, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -320\/16871 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -7 (c) 0.37 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:38 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3149\/18 + -174. Find the common denominator of a and -23\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1594 and 591977329.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -32*n**2 - 302*n - 21. What is w(-9)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/240 + f**4\/12 - 3*f**2. Let j(v) be the second derivative of p(v). Let b(t) = t**2. What is j(b(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + f**2 - 4*f**2. Let u(j) = 11*j**2 - 7*j - 13. Let g be u(-2). Let i(r) = g - 26*r - 45. What is b(i(c))?\nAnswer: -676*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/68445 and -8\/5954715.\nAnswer: 5954715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626 - 11*i**2 - 405 - 411 - 404 - 406.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 47. Let g be m(0). Let f = -27 - g. Solve 0 = -3*p - p - f, 0 = 5*l - 3*p - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 9, -6*y = i - y - 6. Let m = i + 3. Let l be 4\/(-6) - 64\/m. Calculate the highest common factor of 40 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*z + 9 + 2, 10 = -z - 2*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.894293 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 0*i - 3*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -96, -202, -310, -420, -532, -646, -762?\n\"Answer: -w**2 - 103*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by 55\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42837 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 6916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 + 61*r + 15. Let h be q(-11). Let w = -313 + h. Which is greater: w or 2\/267?\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4332131034 (base 5) in base 3?\nAnswer: -122102012200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -96c875 (base 13) in base 15?\nAnswer: -49e1e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 108, 147, 184, 219, 252?\n\"Answer: -y**2 + 44*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237 and 79158.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -2330351?\nAnswer: 2330350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 8*o**2 - 11*o - 10. Let w be y(-9). Suppose 5*j - w = -5*s - 3, 0 = s - 5*j - 13. Calculate the greatest common divisor of s and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/18 + 340\/306.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 40500?\nAnswer: 1417500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3 + 1. Is 1520\/12 + w\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = w + 86 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 12 + 4 - 9832*g**3 + 3276*g**3)*(g + 2 - 2) in the form s*g + w*g**4 + f + o*g**2 + i*g**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 204*o**3 + 230*o**2 - 2472*o.\nAnswer: -2*o*(o - 103)*(o - 3)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28642289 to the power of 1\/2, to the nearest integer?\nAnswer: 5352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = -213 - 304 + 187 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-42)*14\/(-16)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -5*o - 1\/2*o**4 + o**3 + 0*o**2 + 1\/20*o**5 + 0. Let i be (10 - 0)*2\/4. Determine b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-216)\/(-144))\/(9\/2622) is divided by 57.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -17974.9.\nAnswer: 89874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + 12c796?\nAnswer: 12c754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 294775543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - 3.1. Put 0, x, 1\/2 in increasing order.\nAnswer: x, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 4*n**3 + 4*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -8229*(-7 - (20\/(-3) - 0)) is divided by 683?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a076 + 1c?\nAnswer: 3a094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3253 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -52144692\/11 equal to -4740426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*l**3 + 4\/5 + 2\/5*l - 6\/5*l**2 + 2\/5*l**4.\nAnswer: 2*(l - 2)*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*f*s - b**3*f - 116072*b**3*s - 2*b**3 - 4*b**2*f + 2*b**2*s + 4439*s wrt b?\nAnswer: -12*f*s - 6*f - 696432*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 18, 34, 68, 126, 214, 338?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a - 2. Let t be l(0). Let x(b) = -b + 1. What is the units digit of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fga when three letters picked without replacement from agghhdgghggff?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let j be 1 - (-1)\/(-1) - k. Suppose -j*p + 10 = 2. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8868315 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5447 + -645?\nAnswer: 4a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, 3, -1, -2\/13, -5 in decreasing order.\nAnswer: 3, -2\/13, -1, -7\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 65 = 97. Suppose x - 10 = -d. Calculate the least common multiple of d and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16157602 + 41179.\nAnswer: 16198781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(12) + -1*sqrt(12))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -352, 5 in descending order.\nAnswer: 6, 5, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1126*k**2 - 20400*k.\nAnswer: -2*k*(563*k + 10200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.5 and 0.01.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 5\/3*v**2 - 7\/3*v.\nAnswer: -(v + 1)*(5*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -48. Which is the closest to 0? (a) z (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.1 + -18.8. Which is the closest to q? (a) -4 (b) -3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013322033 to four dps.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -16*z, -2*z = -4*s + 4. Which is the closest to s? (a) 2 (b) 1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((3\/3)\/((-19)\/38))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -301 + -178060?\nAnswer: -178361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/300 + m**5\/30 + m**4\/15 - 4*m**3\/3 + m**2 - 88. Let j(t) = 0. Calculate t.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 4*w = 23*t + 267, 3*t - 3*w = 159. What is the remainder when 363 is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*l*z**3 - 23*l*z**2 - 237*l*z - 6*l - 253089634*z**3 with respect to l.\nAnswer: -20*z**3 - 23*z**2 - 237*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -19, -78, -161?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:59 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:46 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.26 - 0.26. Let k = -1.1 + m. Let z = k - 0. Which is the closest to z? (a) 0 (b) 9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*l = 56, -3*l + 1 = -5. Let f = 110 + c. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - ((7 - 8) + -15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584894 minus 0.5?\nAnswer: 584893.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284*f**2 - 5268*f**2 + 3988*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 22*h. Let f = 0.07 + 2.93. Sort h, -0.5, f in descending order.\nAnswer: f, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406.4 + 406. Let c = 0.1 + 0.5. What is the biggest value in z, -1\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o - 1. Let x(m) = 2*m**2 - 21*m - 1. Let r(d) = 5*c(d) + x(d). Determine r(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 245 - 241. Let n = -1.65 + 0.85. Which is the nearest to 0.02? (a) o (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/40 - (-19)\/4. Suppose k*p - 1415 = -475. What are the prime factors of (p\/6)\/(2\/3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446*t - 32*t = -211 + 13459. Solve w = 3*n + 8, -13*n = -9*n + 4*w + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + (-3 + sqrt(700))**2 - sqrt(700))*-2 - ((-2 + sqrt(252))**2 + 4)) + 5.\nAnswer: -1673 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-15) + (-2)\/(-10). Let a(w) be the second derivative of w + 3\/2*w**2 + l + w**3. Determine a(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 607.872 - -3.928. Let d = p - 553. Let w = -7.2 - d. Is 1\/3 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 237 and 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 2*a - 3*a - a + 2*a + 0*a - 2*a + 0*a + 3*a + (-a + 0 + 0)*(-4 - 1 + 3) as g*a + t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 21*g**2 - 6 - 13*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169097774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 13*w - 18. Let h be s(12). Let j be (0 + 2\/h)*6. Let a(f) = 9*f**3 - 5*f**2 - 5. Let y(r) = -4*r**3 + 2*r**2 + 2. What is j*a(q) - 5*y(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 9\/10*r**5 + 0*r**2 + 0 + 1\/3*r**3 - r**4 - 12*r - 4\/15*r**6. Suppose g(b) = 0. What is b?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30503329 minus 8.513663?\nAnswer: -30503337.513663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(432))\/sqrt(4) - (sqrt(48)*-5 - sqrt(192)*-1).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 - (-8 + 7 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 - 173. Factor -2*m**3 - 17 - 24*m**b - 15 - 5*m + 2*m**4 + 61*m.\nAnswer: 2*(m - 2)**2*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, 1\/2, 0.2 in descending order.\nAnswer: 1\/2, 0.2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5086 - 5110 - (-49 + 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-81)\/(-5))\/((-12)\/(-40)) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/5 - 141*o**4 + 23602*o**3 + 448438*o**2 - 967119*o + 2476099\/5 = 0.\nAnswer: -19, 1, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 6. Let m be h(4). Let y = m - -8. Solve -3*u**5 - 3*u**3 - y*u**2 + 2*u**2 + 6*u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = 16. Let n(j) = j - 6. Let r be n(0). Let x = r + 8. Calculate the smallest common multiple of x and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274.196 + 0.196. Let m = 273.999996982 + y. Round m to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*r - 0*r. Suppose c - 3*c = 0. Does 5 divide 5 + (-4)\/r*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14. Let v = 0.965 + -0.465. Which is the second smallest value? (a) j (b) 0.1 (c) v (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208184?\nAnswer: 2, 53, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-30)\/(-14)*(-131)\/(12576\/704)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 131*t**2 + 3*t - 3. Let i(x) = -129*x**2 - 4*x + 4. Give 4*b(y) + 3*i(y).\nAnswer: 137*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/2 - n + 300. Let d(p) = -191*p**2. Calculate i(d(l)).\nAnswer: -218886*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50859, -101717, -152575, -203433, -254291?\nAnswer: -305149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 8477?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-621)\/(-6))\/(6\/(-8)). Let k = z - -2269\/16. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141100704?\nAnswer: 2, 3, 54437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1446 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004449 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/2)*x*x*(x\/((x**(2\/21)*x)\/x*x)*x)\/x)\/(x**(-1\/3))**(-27))**(11\/8) assuming x is positive.\nAnswer: x**(-2585\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.74881*-0.21.\nAnswer: -0.1572501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557224, -1557209, -1557180, -1557131, -1557056?\nAnswer: -1556949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 134?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 4}. What is prob of sequence hoh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - -49. Let l = -69 + a. What is the remainder when l is divided by (19 - (3 + -3)) + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*h + 29*h**2 + 4*h**3 + 23*h - 16 - 31*h**2 as b*h**2 + g*h**3 + x + q*h and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30a9 (base 15) to base 14\nAnswer: -3a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2\/3) + ((-800)\/60 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9179 or 385531\/42?\nAnswer: 9179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-3) + (-6)\/2. Let q be ((-4350)\/(-60) + -36)*(1 - 11). Is k equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l. Let v(p) = -407*p - 809. Let i be v(-2). Suppose 3*y - 8 = -4*n, -4*y + 17 = -n - 0*n. Let z(k) = -k + 1. Give i*z(g) + n*a(g).\nAnswer: -g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*d = 0, -2*d = 2*i + d - 3. Let b be i\/(((-4)\/10)\/2). Solve -4*r - 3 = 3*v, -r + b = -2*v + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 360939.\nAnswer: -360939.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 433173 to the power of 1\/2, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 20*k**2 + 6*k - 118. Let n be a(20). Suppose -20 = -4*u, -44*y + 40*y + n*u = 6. Solve 3*g = 2*x + 2, -13 - y = 3*x + g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let h(b) = 44570*b**2 + 61*b + 1. Calculate h(g(q)).\nAnswer: 178280*q**4 - 122*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 - 5*a**2\/2 + 6*a - 7. What is the units digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2905 divided by 581.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 10:04 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*z**2 - 1433*z - 1429*z - 1425*z + 4286*z in the form y + t*z + b*z**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4725, 6, 1, -4.\nAnswer: -4725, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13635 + 42620. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6 + 0*d - 5*d + d - 7*d. Let p be i(1). Let k(n) = 2*n + 14. What is the units digit of k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53825327 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -5, -335, -3, 0 in descending order.\nAnswer: 0, -3, -4, -5, -7, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118597 and 24941.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2339 + 8*x**2 + 9386 - 2339 - 2333 - 2375.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83807426.\nAnswer: 2, 41903713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**2 + 23*s**2 + 17*s + 10*s + 44*s**2 wrt s?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -16 (c) -2\/11 (d) 0.2 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by -155610.\nAnswer: 41\/77805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3321 in -1, -2\/7, -38.2, -2, -4, -3?\nAnswer: -38.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, 47428 in decreasing order.\nAnswer: 47428, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1127848664509 - -170\nAnswer: -1127848664339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*w + 5*z, -17*w + 2*z = -11*w - 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 44324.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:01 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1155\/77 + (-86)\/6)\/((-2)\/(-12)). Solve -3*w + 3*u - 30 = 0, d*u + 7 - 37 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 7*y**2 + 8*y + 9. Let u be (8\/(-10))\/(11\/(-110)). Let q be l(u). Suppose q = 5*r - 2*d, -r + 5*d = d - 9. Solve -w - r = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 15 + 15 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k + 97. Let z be w(19). Solve -z - 2 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*o**3 - 378*n**2*o**2 - n*o + 2*n - 47*o**3 wrt n?\nAnswer: 2*o**3 - 756*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -1\/4, 5\/6, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1 - 2*w - 3*w + 2*w - 4*w. Calculate q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -4. Let y be 2\/4 + 209932\/40920. Let q = y - 1\/33. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsp when three letters picked without replacement from sbsbbpbbss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 81322 + 3?\nAnswer: 81325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2954*m + 3130*m + 113340 = -1939*m - 3552*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (18 - 8)) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/2 + 3291*f\/2 + 1033435 = 0.\nAnswer: -2446, -845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -312*o**3 + o**2 + 6*o + 5. Let r be h(-5). What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9128*b**2 - 1082874 + 1082874 in the form l + v*b + z*b**2 and give z.\nAnswer: 9128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 10. Let u = -1 - -3. Suppose -u*p + 4*p = 12. Let q(t) = 2*t**2 - 3. Let k(i) = 7*i**2 - 11. Calculate n*q(f) + p*k(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/546575 and 47\/7652050.\nAnswer: 7652050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/10)\/(-6*(-1)\/128). Differentiate 24*k - 13*k - 7 + d wrt k.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*m - 8 - 37 = 0, 0 = -y + 3*m + 7. Let t(p) = -2*p**2 - 2*p. Let c be t(-2). Let v = c + 23. Calculate the remainder when v is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/10)\/(-1))\/((-3)\/(-36)*-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-511)\/14*(3 + -2 + -13). Suppose -8*f = i + 74. Let s = f + 69. Solve 0*r - 5 = -s*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*42\/(-27)*48\/28?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 12 = 12. Suppose p = n - 3 + 1, 5*g - n - 33 = 0. Suppose -3*l = -g*l + 6044. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2318*w**2 + 30*w - 2485. Let d(m) = -3477*m**2 + 42*m - 3728. Let x(l) = -5*d(l) + 7*f(l). What is the first derivative of x(g) wrt g?\nAnswer: 2318*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 1. Let d = -23 + 29. Let w be o(d). Find the second derivative of 11*s**5 - 9*s + 6*s + w*s wrt s.\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 15*r + 120. Calculate d(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 150. Let t = -30 - i. Which is the closest to 0? (a) t (b) -1\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -212, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose -3647*h + 21 = -3646*h. Calculate the remainder when 692 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2325 divided by 6\nAnswer: 775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/7 - 8*y**3\/7 - 15*y**2\/7 + 4*y\/7 + 20\/7 = 0. What is y?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + -9. Let j(f) = 3*f + 54. Let a be j(-16). Does 35 divide (-2030)\/r + a\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*q - 6*q = -8, -2*d - 5*q = -6. Let m(j) = -14*j - 10. Give m(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8103098*k**4 - 118967251*k wrt k?\nAnswer: 97237176*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (1 - (-28 - -39))) + -61\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)*t)\/(t*t*t*t*t**(-10)*t)*t**7*t*t\/t**(-16)*t assuming t is positive.\nAnswer: t**(482\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40796\/23 + -1774. Find the common denominator of -42 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 295?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*g + 19, -5*g + 11*i + 4 = 9*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666563977 to the power of 1\/2, to the nearest integer?\nAnswer: 40824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -39923.775 to the nearest one hundred.\nAnswer: -39900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 4, j: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.239 and -577853?\nAnswer: -138106.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q**3 - 31*q**3 + 60*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 210 = -5*t. List the prime factors of (-785)\/t - (-3)\/(1 + -19).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 + 310*a**2 - 210*a - 204. Let n be c(-104). Solve r = -z - n, 0 = -5*z - 7*r + 12*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and -15.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.14, -2\/3, -15?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.57605486 and 13.\nAnswer: 5.42394514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((0 - -1) + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1 + 315*t + 10 + 4*t**2 - 3*t**2 - 338*t. Give a(21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/7, -0.5, 144, 9, 5 in descending order.\nAnswer: 144, 9, 5, 20\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 greater than 272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11209*l**3 - 182*l**2 + 398*l**2 - 216*l**2 + (-l**2 - 2*l**2 + 4*l**2)*(0*l + 0*l + l) + 3*l - 3*l + 4*l**3.\nAnswer: 11214*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*y = 167*y + 160. Suppose -4*c = -4*x + 8, 5*c + 4 = 4*x - 8. Calculate the lowest common multiple of y and ((-24)\/60)\/(x\/100).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 264448817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5 + 14. Let o = 0.1 - 1.1. Let v = -6644.7 + 6645. Which is the closest to 1\/4? (a) o (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 - 2*p - 10. Calculate the remainder when 11 is divided by g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -418*j - 165. What is the thousands digit of h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8566, -8836, -9108, -9382, -9658, -9936, -10216?\n\"Answer: -n**2 - 267*n - 8298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 + 2*s. Let x be z(-3). Which is the nearest to 4? (a) 2\/5 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -443 in descending order.\nAnswer: -2, -3, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16854196*i**3 + 10869*i + 32607. Let q(j) = -10855*j**3 - 7*j - 21. What is -10869*q(f) - 7*v(f)?\nAnswer: 3623*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 592 = 0. What are the prime factors of s\/24 - (-2)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, s: 3}. What is prob of sequence uusu?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3069 and 82026?\nAnswer: 902286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:24 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 + -12 + 16 - 5) + 16 - 10) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 - 3*h - 3. Let y be i(-3). Let n = y + -4. Let f be (((-6)\/(-3))\/8)\/((-3)\/(-24)). Solve -3*z = -n*b - 1 + f, 3*z - 4*b = 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60465, 120928, 181391, 241854, 302317?\nAnswer: 362780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 1911 = 1800 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -167 (c) -0.1373 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 22326?\nAnswer: 44652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10382, 10375, 10364, 10349?\n\"Answer: -2*m**2 - m + 10385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/2, -11, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 32*c - 3. Let v(y) = -y**3 + 2*y**2 + 5*y - 2. Let j be v(3). Suppose 2*h + j = h + w, 2*h = w - 3. What is the tens digit of x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n**2 - 299*n + 3. Let z(y) = 11*y**2 - 297*y + 2. Calculate 3*h(c) - 4*z(c).\nAnswer: -2*c**2 + 291*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 234 - 336. Let j = -439\/4 - o. Calculate the common denominator of j and -89\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1 (c) -1\/13 (d) -0.3 (e) 0.099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0875 plus -1.224?\nAnswer: -1.3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) - (sqrt(147) + -1))**2*-3.\nAnswer: -331 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*n + 81. Let i(w) = n - 8 - 4 + w - 12. What is i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 t when four letters picked without replacement from {y: 3, t: 2, w: 2, f: 3, v: 3}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -82*p**7\/5 + 535*p**4\/8 - 2*p**2 - 2062. Find the second derivative of c(b) wrt b.\nAnswer: -41328*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**6\/30 - 41*s**5\/20 + 65*s**4\/6 - 44*s**3\/3 - 82*s - 2. Factor k(d).\nAnswer: -d*(d - 2)*(d - 1)*(d + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3390*u + 898*u - 1993*u.\nAnswer: -4485*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*m + 2328 + 1956, 4*h - 4280 = -3*m. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a + 42*a - 20*a + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2\/(-4))\/(18\/84). Suppose 0 = 2*t - v*t + 75. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from {l: 2, s: 1, b: 3, a: 1, x: 3, p: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-204)\/(-18))\/(-17))\/((-6)\/(-135)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7435 divide 6185526374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, a: 4}. What is prob of sequence la?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8312 + 8311. Which is smaller: n or -1\/13710?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6 - ((-8)\/(-3) - 3). Let a(x) be the second derivative of 0*x**2 - 1\/70*x**5 + 0*x**g + 0 + 1\/42*x**4 + 13*x. Factor a(h).\nAnswer: -2*h**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -32. Let j = -36 + 36. Which is the second smallest value? (a) -2\/7 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/15 + (-8)\/(-20). Suppose x = -6*g + 21 - 3. Solve 0 = -g*a - 5 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63.2 and -12.35?\nAnswer: 780.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1868*l + 6211*l = 662478 for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - (-6 - -2))*-2. Suppose -7*p - 1956 = -5*g - w*p, g - 384 = 3*p. Suppose 4*a = 3*b + g, 3*a = -5*b + 179 + 123. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2435, -4872, -7311, -9752?\n\"Answer: -r**2 - 2434*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.21, -0.1, -4, 1\/9 in decreasing order.\nAnswer: 18.21, 1\/9, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.1, 0.005?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 4*x + 91. What is r(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5*(-12)\/(-40))\/((-7)\/(-14)))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 2*y + 19. Let d be n(-8). Suppose 2*a = a + 4. Suppose 9*i - a*i = 3*h - d, -h = -5*i - 39. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20122 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -694\/195 + 48\/13. Which is the nearest to 3? (a) o (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2851*g**3*n**2*s - 66*g**3*n*s + 169356*g**2*n**2*s + g**2*s + n*s wrt g.\nAnswer: 17106*n**2*s - 396*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29560 and 40?\nAnswer: 29560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*h = -21, -2*v - 7*h + 26 = -3*h. Let r = 7 + -5. Solve 5*g - r*d - 16 = 0, 0 = 2*g + 4*d + 5 + v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662251603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -3 - (-99 + 5). Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from nnnnxnnnxnnx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 10*f + 5. Give p(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b - 18. Let z be -6 - 92\/(-8 - -4). Let q = z + b. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from {a: 11, c: 5}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 7*x**2 - 2*x + 7. Let v be k(7). Let j(l) = 2*l + 13. Let i be j(v). Let c be (i + 2)\/1 - -11. Solve 3*y = 2*o + c, 2*o - 7*o = 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/24 - 2*h**2. Let g(d) = -884*d + 365*d + 361*d. What is g(r(a))?\nAnswer: -158*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2614 = 5*n, 2*a + 5*n + 1734 = 6947. What are the prime factors of a?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20428.\nAnswer: 2, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**2 - 8*g**2 - 61*g + 61*g.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n + 31*n**3 - 35*n**3 + 0*n - 5*n**3 + n**3 + 3*n**3 + (-n**2 + n**2 - 2*n**2)*(0*n - 5*n + 3*n) + 2*n + 2*n**3 - 2*n.\nAnswer: n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24861 + -18146. What is the highest common factor of 255 and g?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27141 divided by -3.\nAnswer: 9047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-924))\/(1\/3*3\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7894907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 15. Let x(n) = 4*n + 8. Let h(w) = 2*u(w) - 5*x(w). Let f be h(-7). Is ((-93)\/12)\/((-1)\/f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(11\/(-33)). What is the nearest to 3 in 0.6, h, -0.3, -2\/21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 2 + 574*i**3 - 559*i**3 + (-2 - 2*i**2 + 2)*(-2*i + 2*i - 2*i) as j*i**3 + h*i + y*i**2 + t and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -198*n + 194*n. Solve p = 4*m + n - 21, -4*p - 5 = 5*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46519770 and 435.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006882718 rounded to seven decimal places?\nAnswer: -0.0000688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 9*o - 5*o. Suppose 0 = 4*j - 2*j - o. Suppose 5*n - j*a = 235, 0 = 3*n + 3*a - a - 141. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n + 665. Suppose 5*z + 40 = -2*m + 111, 4*m - n = -z. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7 (b) 0.3 (c) -2 (d) -1\/10 (e) 2.3 (f) -5 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*f = 421*f + 233674. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 643004?\nAnswer: 643013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(99) + sqrt(704) + 2 + sqrt(11) + -2)**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*d - 703609, 3*d = -4*t + 267579 + 295307. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -158828 + 107057. Let p = l + -18229. What is p rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 0.5, -3, 0.4 in decreasing order.\nAnswer: 111, 0.5, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 + 31*p + 8. Let o be k(-10). Let c(a) = -17*a**3 + 6*a**2 + 6*a - 1. List the prime factors of c(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 2. Is 2 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/9 - -2)*(-39423 + 6 - -3).\nAnswer: 2, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 48 = 14*n. Let l be (2 + 1)\/(90\/150). Sort n, 13, l in ascending order.\nAnswer: n, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f + 5. Let a(l) = -16 + 49 - 14*l - 19. Give -4*a(y) + 11*t(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 793 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 5:27 PM?\nAnswer: 368","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-4)\/(-78))\/(34 + 241416\/(-7098))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6688 + -6686. Is -0.951 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*p**3 - a**3 + 14*a**2*p**3 + a**2*p**2 - 21*a*b**2*p**2 - 2*b**2*p**3 + 3*b**2 + b*p wrt p?\nAnswer: -12*a**3 + 84*a**2 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/8)\/(-9))\/((-10)\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11371445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3741 - 2753\/968919. Let z = -500\/6993 + l. Suppose m = 5*v + 3, 0 = 3*m + 5 + 1. Is z less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174 + 167. What is the fourth smallest value in -2\/17, -0.4, a, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 27. Let l(p) be the first derivative of 1\/2*p**2 + 0*p - 40. Calculate l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -106*b**3 - 3*b - 2. Let k be a(-1). Suppose k*w - 109*w = 12. List the prime factors of ((-315)\/(-6))\/(w\/(-8)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = 3*k, -2*k + 16 = 3*m + 3*k. Differentiate -12 + 3*n**m - 3*n + 1 - 13 wrt n.\nAnswer: 6*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89904 and 5?\nAnswer: 449520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 993158.9 tonnes?\nAnswer: 993158900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:02 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1619*x**2 + 388 - 388)*(1 - 2 + 2) - 4*x - 2*x**2 + 4*x to t + c*x + j*x**2 and give j.\nAnswer: 1617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2220199811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u + 704 = 7*u + 172 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14)*(-5)\/(5\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 7:21 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -14, 34?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 169 - 29 = 241*d - 233*d, -269 = 9*d + 4*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109979 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069738729?\nAnswer: 17, 29, 151, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*r + 2 - 62, 0 = -3*r - 2*x + 36. Solve 0 = 4*a + 16, 3*q - 3*a - r = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, 215, 1013, 2265, 4019, 6323?\nAnswer: 9225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19*(2\/3)\/(44\/99)*4\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.521601ng to tonnes.\nAnswer: 0.000000000000003521601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273419447 is divided by 236?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110011?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-21))\/u**(-1\/6) assuming u is positive.\nAnswer: u**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 69.\nAnswer: 69.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/8)\/(-3) - (-2)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 2512*k**3 + 798752*k**2 - 6269952*k + 12460032.\nAnswer: 2*(k - 624)**2*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**2 - 142480*a - 5549115 = 0?\nAnswer: -28457, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 22 = -2*d + 2*y, 0 = -4*d - 3*y - 1. What is the units digit of (2300\/30)\/((12\/(-9))\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2656 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/8 and (-453)\/(-471)*5 + (-40)\/8?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1025.5 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 1 = 0. Let a be 1*(3 - (4 - 2)). Put a, h, -2 in ascending order.\nAnswer: -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -40\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8076 - 4605. Suppose 3*w + 45 = u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))\/c*c*c*c*c**(-2\/23)*c*c*c\/(c*c*c*c\/(c*c\/((c\/c**(-2\/9))\/c))*c)*((c*c**(3\/8)\/c)\/c)\/c)**49 assuming c is positive.\nAnswer: c**(5341\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (409 - 1323 - 1256 - a)*(1 - 2 + 0 + (-5 + 8 - 2)*(4 - 1 - 1) + 3 - 1 - 1).\nAnswer: -2*a - 4340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 38*d**2 + 76*d**2 - 45*d**2. Let r(n) = -153*n**2 - 45*n. Let x be 1\/(2\/8) - 0. Let i(t) = x*r(t) - 90*g(t). Let v(u) = 2*u**2. Give v(i(a)).\nAnswer: 648*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 978*m + 664*m - 706*m + 2020*m to x*m + v and give x.\nAnswer: 2956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/11, -0.04, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let x(y) = -1. Let f(q) = 12*q - 48. Suppose -5*m = -10*m. Suppose -i + 10 - 11 = m. Let d(z) = i*f(z) + 48*x(z). Give d(a(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123768 - 1?\nAnswer: -123770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58439213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. What is the first derivative of -4*f**g + 3 - 5 + f**4 wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 23*v - 41. Let d be r(-22). Let j = 830 + d. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + z + 3*z - 955, 0 = -2*z - 10. What is the second derivative of -o + 325 + 5*i + 4*i**2 wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.043344018783?\nAnswer: -3.956655981217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345502 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*a + 20. Let j(r) = 9 + a*r - 14 - 5*r. Determine j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355693852 is divided by 952.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 494*d*h**2 + 1773*d*h - 2*d - 177*h**2 + 2*h + 1 wrt h?\nAnswer: 988*d - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491288 divided by -4.\nAnswer: -122822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:32 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53107.79m in micrometers?\nAnswer: 53107790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t, -2*t - 30 = v + 3*v. Let j be (2\/(-12))\/(1\/v)*21. Let s = j + 20. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -4 + -5 - ((sqrt(2) + -1 - sqrt(2)) + 0 - (sqrt(2) - (0 + (sqrt(32))**2))).\nAnswer: -40 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + w = -1, 4 = 10*w - 6*w. Which is the nearest to -2? (a) -6\/7 (b) 0.3 (c) t (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, -32, -95, -188?\n\"Answer: -15*t**2 + 12*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00095567 rounded to 5 dps?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 12280260683?\nAnswer: -12280260679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 9*a + 11. Let s be d(8). Solve -2*j - 4*b + 6 = 24, -2*j + 17 = -s*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + -106.06. What is the closest to -1\/4 in -1, 3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from iiigiiggigi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 + 1. Let p be t(1). Suppose 4*f = 2*f + 4. Sort f, 5, p in ascending order.\nAnswer: p, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -371 - -360. Let a(n) = n**3 + 14*n**2 + 28*n + 14. Does 23 divide a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + s - 2*s + 16 = -1, -n - 39*s + 37*s = -1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n + 16. Let s(i) = -i**3 - 2*i**2 - i + 23. Let q(h) = s(h) + 3*t(h). Is q(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 1146*o - 11162. Calculate z(219).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 6:03 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -3*s**5\/5 + s**4\/2 + s**3\/6 - s**2 - 812*s. Let j(m) = m**3 - m**2. Calculate -6*j(o) - n(o).\nAnswer: 6*o**3 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -3, -4 in increasing order.\nAnswer: -7, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(310\/186)*90\/63\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34373 = 2203*w - 3078 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose -4*j - 4*s = -19 - 5, n = 3*j + 5*s - 26. What is the remainder when 7 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 9\/(-6))\/((-3)\/(-1388)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -427 - -451.1. Let w = -24 + l. What is the third smallest value in w, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5329508912 to the nearest integer?\nAnswer: 73003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19529013.6us?\nAnswer: 0.00022603025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6062*n - 4294*n - 6350*n)*(3*n - 3*n - n)*(-2 + 1 + 0)*(3 - 2 - 2).\nAnswer: 4582*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -212 (b) -1\/5 (c) 8 (d) 3 (e) 7 (f) 10.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 2*d**2 + 3*d**2 + (0*d - 2*d - 2*d)*(3*d - 4*d - 3*d))*(-1 + 1 - 1) as x*d**2 + o + n*d and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**5\/60 - m**4\/4 + m**2. Let l be x(6). What is the second derivative of -j**2 + j + l*j + 3*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140669 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -581 - -582.952. Let l = f + -2. Let w = l + -0.052. Is w < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g - 21. Let r be i(-10). Suppose o = 4*w - 12, -r + 3 = 2*o - 4*w. Let n = 8 + -4. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*f**3\/5 + 91*f**2\/5 - 24*f\/5 = 0. Calculate f.\nAnswer: -3, 0, 8\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let g be t(3). Let p(q) be the second derivative of q**4\/12 + 17*q. Let z(h) = -5*h**2 - 6*h - 9. Let r(l) = g*z(l) - 12*p(l). Solve r(x) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-112)\/(-1152)*24)\/(14\/(-2)))\/(4\/1260).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1886*v + 748*v - 800*v + 746*v + 1016*v as d*v + p and give d.\nAnswer: 3596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/102*-231*(-1)\/((-14)\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -353*h**2 - 20353*h + 7005. Calculate j(-58).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = a + 48622, 2*x - 48646 = -2*a + 7*a. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 11 = -u, -2*l + 4143 = 2*u + u + 4176 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 - 5*m + 11. What is o(5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361322699 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = s - 19, 5*s + u = -0*u - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/833)\/10*-7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, -19, -1, -1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43604.\nAnswer: 2, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5831 divided by -343.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4, -2*t + 6*t = 4*s + 84. What is the remainder when -14 + (55 - 6) - 6*1 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5967 or -5933?\nAnswer: -5933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36\/390*385\/(-231)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-200))\/(-3*(-3)\/(-18))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 7.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 386 = -3*v, -3*r + 7*r - 3*v - 1484 = 0. Suppose 10*j + r = 6354. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 498 and 2312144031?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-2)\/(-24)). What is the second derivative of 0*r - 1 + r + 1 - 3*r**s wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 63 + l - 61 - 64.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2) - sqrt(4)\/sqrt(2)) + (sqrt(24) - sqrt(48)\/sqrt(2))\/sqrt(12) - ((sqrt(2) + -3)*4 - (sqrt(200) + 3)).\nAnswer: 6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from pppccpppcp.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*2\/100)\/(-6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 2. Let o be (-5)\/(-1)*(15 - 14). Suppose -u + o = -4*r - 4*u, 2*u - 2 = 0. Let l be t(r). Solve -l*q - 9 = j, -5*q = j - 6*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 42\/11, 2\/11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:24 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-1)\/sqrt(11) - sqrt(20))\/(sqrt(10) + -4*sqrt(20)\/sqrt(2) - sqrt(10)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 316138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 32125136.03 to the nearest 10000.\nAnswer: 32130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-3 - (-75)\/6). Let u = g - 6. Let z = 3 - 4. Which is the third smallest value? (a) z (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 84*a**2 + 70*a + 121. Determine u(-27).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.211 + 6.789. Let w be 2\/(-6) - 11\/(-231). Which is the closest to -0.1? (a) 2\/9 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 20 + 26*h - 11 as g + k*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48718 is divided by 3831.\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*l + 6 = l, -5*k + 22 = l. Let t be (-110)\/605 - 290\/(-22). Suppose -3*n - 11 = -2*d, d - k*n - t = -0*n. Is d at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l - 1. Let q(m) = -5*m**3 + 2*m**2 - 4*m - 10. Suppose 68*g + 25 = 93*g. What is g*q(z) - 4*j(z)?\nAnswer: -z**3 + 2*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3049 + -3054. Let w(s) = 8*s - 2. Let o be w(-8). Which is the closest to 1? (a) y (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6583, 13158, 19733?\n\"Answer: 6575*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 456860501789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8182*u + 458*u + 173903 = -119857 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 + -1112?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 5 (b) 0 (c) 0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/360 + f**5\/60 - 43*f**3\/6 + 49*f**2. Let j(p) be the first derivative of o(p). Determine j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3066*s**4 - 76181*s**3 - 264027498*s**2 wrt s.\nAnswer: 73584*s - 457086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + 103. What is the highest common factor of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - v + 8, -3*v - 4 = -2*p - 5*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-6) - (-1)\/(-2). Suppose 0 = 2*m - 19 + 3. Calculate the highest common factor of m and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + -11000011001100110011110?\nAnswer: -11000011001100101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196062.18 months to decades.\nAnswer: 1633.8515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2709 and 1936677.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - 8*p**2 - p + 3. Calculate the remainder when 28 is divided by j(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) 3 (b) 32 (c) 5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.46 - -10.46. Which is the closest to s? (a) 0.5 (b) 0.2 (c) 0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 7271 - (-41)\/((-287)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (19 - (-15 - (-17 + -3)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1519488996 is divided by 3860.\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 1)\/(-11 + 12). Find the common denominator of ((-18)\/(-4) + -6)\/(n\/(-19)) and -173\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (-52 + -56 - -52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*i - 2210*i**3 + 2*i**2 + 138*i - 341*i.\nAnswer: -2210*i**3 + 2*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14871, -11761, -8663, -5583, -2527, 499, 3489?\n\"Answer: -i**3 + 3117*i - 17987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/10*20\/16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61350*x**2*y**3 + 2*x**2*y**2 - 3913*x**2 - 44*y**3 + 27*y**2 - 1 wrt y?\nAnswer: 368100*x**2 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036042849 rounded to 7 decimal places?\nAnswer: -0.0003604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllxyfculfcllyc. Give prob of picking 1 x, 1 u, 1 l, and 1 c.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109330 and 870.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-10))\/((-56)\/(-14)*2\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8179?\nAnswer: 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0058779 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(98)*-6 - ((4 + 0 + sqrt(98) + sqrt(98))**2 + ((1 + sqrt(98))*5)**2)) + 0.\nAnswer: -2886 - 420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 2538951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/3 + 19*p**3\/3 - 35*p**2\/3 + 17*p\/3 = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*u**2 + 19*u - 9 wrt u.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c. Let j(w) = -28920*w - 2179845. Let i(l) = l + 67. Let x(f) = 65070*i(f) + 2*j(f). Determine x(s(g)).\nAnswer: -14460*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {h: 4, o: 5, n: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.08 - 2.78. Which is the nearest to 0.2? (a) 6\/11 (b) 2\/7 (c) z (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.5830974 and -0.5?\nAnswer: 12.2915487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1262415679 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 26)*3\/(-5). Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.531483 days?\nAnswer: 650720131200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11386, -11393, -11404, -11419, -11438, -11461, -11488?\nAnswer: -11519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 4*b = 8, -5*o + b = 50464 - 50462 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176185677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1018 - -1511. Suppose h = -3*a + 14, 3*h - a = 55 - 3. Calculate the highest common divisor of y and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067336.\nAnswer: 2, 3, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, and 1 z when three letters picked without replacement from {z: 2, l: 1, v: 1, n: 2, t: 6}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -845.79 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264983068 to the power of 1\/3, to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4866*d**4 - 9988*d**4 + 4869*d**4 + (-3*d**2 + 3*d**2 + 2*d**4)*(-1 - 1 + 4) + (d**2 - d**2 + d**3)*(-2*d + 2*d - 2*d).\nAnswer: -251*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*q = -24, 2*q + 1747 = 4*k - 2*q + 1723 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {s: 1, f: 1, w: 2, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 6) + (-22)\/8. Let p be 4\/(-3)*((-924)\/96 + 10). What is the closest to 0.04 in -3\/5, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0*g - 2*g + 3*g) + 5*g + 4*g - 8*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 2*x + 805. Let m = -271 - x. Put 4, -2, m in increasing order.\nAnswer: -2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -1964204?\nAnswer: -1964206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 80*a**2 + 63*a + 17. What is d(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4328\/4080 - ((-16)\/(-10))\/(-4) and 31\/9?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.8394ml in litres?\nAnswer: 0.9938394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let b(f) = 8715*f. Give b(h(i)).\nAnswer: 17430*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53788474 or -8\/5?\nAnswer: -53788474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2111490.\nAnswer: 2, 3, 5, 29, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**4\/5 - 1692*b**3\/5 + 95142*b**2 - 6857100*b + 131774025 = 0.\nAnswer: -785, 31, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((162120\/5250)\/193)\/((6\/(-180))\/((-3)\/24))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a + 9. Let h(m) = -m**2 + m. Let t = -120 - -121. Let g(w) = t*i(w) - 2*h(w). Is 31 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4464 (base 7) to base 9\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.25 + 0.12. Round b to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1)\/(95\/(-665)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbsqbbob. Give prob of sequence oss.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-75))\/((-92)\/(-20) + -5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3035135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15181.34nm to centimeters.\nAnswer: 0.001518134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -0.25, 109, 0.058?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**5)\/(v**(-7)*v))\/(v**(-1\/6))**(2\/39) assuming v is positive.\nAnswer: v**(235\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 - 10 = 2*f, 3*g + f - 1 = 0. Let q be (-75)\/(-35) + g\/(-14). Which is greater: q or -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*u - 18*b + 22*b, -3*u - b - 16 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 33\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {h: 1, a: 2, x: 1, u: 2, q: 2, g: 4}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 191712371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1, 45, -1630, 5.\nAnswer: -1630, -4, -2, 1, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6. Let p = 1 + j. Suppose -2*g + 28 = -p*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/31340 and 51\/21938.\nAnswer: 219380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 331 + -323. Let z = 0 + 8. Calculate the highest common divisor of m and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/10 - 21*o**2\/10 + 486\/5 = 0.\nAnswer: -18, -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 400, 793, 1186?\n\"Answer: 393*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.496 + -0.004. Let q = -553\/4 - -277\/2. Put j, -1, q, 7 in decreasing order.\nAnswer: 7, q, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -0.04.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/7 - 158163*w\/7 + 2371770\/7 = 0 for w.\nAnswer: 15, 52706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266664 and 399996.\nAnswer: 799992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 207902 and 0.8.\nAnswer: 166321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 - 140*g - 2450 = 0. Calculate g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, t: 1, h: 6, m: 3}. What is prob of sequence ot?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3047653, -6095317, -9142981, -12190645, -15238309?\nAnswer: -18285973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)*x\/(((x*x*(x\/(x\/(x\/x**(-2\/7))))\/x)\/x)\/x)*x*(x*x**4*x*x)**30)**(3\/11) assuming x is positive.\nAnswer: x**(4131\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 64 = -c, 0*c - 62 = 2*w - 2*c. Sort w, -2, -4 in descending order.\nAnswer: -2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 580560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29767 - -37315. List the prime factors of r.\nAnswer: 2, 17, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:09 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q**2 - q + 61. What is p(5)?\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31816990 >= 31816976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2845 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -652*p - 266669. Let x be q(-409). Let d(m) = -15*m**2 + m - 7. Let n be d(-7). Which is bigger: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 26762 + 53447 - 26685.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 - a + 1. Suppose -6 = j - 4. Let n(i) = -3*i**3 + 2*i**2 - 2*i + 1. Let b(z) = j*s(z) + n(z). What is the derivative of b(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24\/(-3) + 494 + 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 204.4081 and -0.1?\nAnswer: -20.44081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 27*u - 13)*(-1 - 2 - 1)*(-192*u - 199*u + 354*u) in the form b + g*u**2 + k*u and give g.\nAnswer: -3996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.38 - -0.38. Let k = 15.5 + y. What is the closest to -1\/4 in -2\/17, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 13597 + 4748 = 0. Suppose -24*w + 337 = -g. What is the highest common factor of w and 1105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4530368 divided by -997\nAnswer: 4544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1880 and 2091688?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1299922ms to microseconds.\nAnswer: 129.9922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 4*f**2 + 3*f. Let p(j) be the second derivative of -j**5\/20 - j**4\/4 - j**3\/3 + j - 7. Give -3*g(m) - 4*p(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9669 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: Simplify j*j*j\/(j**36*j)*j*j*j\/(j\/((j\/(j\/j**(-14)))\/j))*j*j*j*(j\/((j\/j**(-4\/9))\/j))**22 assuming j is positive.\nAnswer: j**(-286\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219 divided by 73.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/23*16\/32?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*h**2 - 23*h**3 + 42*h**2)*(3 - 4 - 1).\nAnswer: 46*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, j: 3, n: 1, v: 1}. Give prob of picking 1 v and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162354.\nAnswer: 2, 3, 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 936 = -3*b, 3*b + r = 8*b - 1552. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -66, -14 in descending order.\nAnswer: -5, -14, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 312 or 1027?\nAnswer: 1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b + 1. Suppose -b*c - 31 = -2*d, 5*c + 5 - 2 = d. What is the second derivative of -f - 13*f**2 + d*f**2 - 13*f**2 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -10 (c) 3\/4 (d) 8 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 99*h. Let f(g) = 2*g**3 - 5*g**2 + 197*g - 2. Determine -2*f(d) + 5*z(d).\nAnswer: d**3 + 101*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 17*j + 100. Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 2*q**3 - 2*q**3)*(3*q**2 + 4*q**2 - 5*q**2) - q**5 + 0*q**5 + 3*q**5 + 2*q**5 + 0*q**5 - 4*q**5 - 2*q**5 + 2*q**5 - q**5.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373*x**3 - 30216*x**2 - 30631147*x.\nAnswer: -2238*x - 60432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59257 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*(3 - (-30)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:32 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -184794518 to the nearest 10000.\nAnswer: -184790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2\/4 + 35041947*c\/2 - 35041944 = 0.\nAnswer: 2, 23361296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose -2*l - k*l - 88000 = 0. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262934?\nAnswer: 2, 7, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 2}. What is prob of sequence iif?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 105*v**2 - 22727*v - 9110. Determine o(-212).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(128\/(-18) + (-6)\/(48\/(-56)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 612 divide 3827448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*h + 16, 0 = 5*g + 2*h + 100 - 98. Let r(q) = 11*q + 4. Let f be r(5). Let u = f - g. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {j: 3, t: 3, o: 5, m: 1, z: 6, p: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 7) + 6 - -13) + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011691793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 14*v**2 + 12*v + 84. Give p(11).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21de - -4?\nAnswer: -21da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 56*n**3 - 4*n - 9. Let r(a) = 7*a**3 - 1. Let q(c) = g(c) - 2*r(c). Let k(m) = -14*m**3 + m + 2. What is 7*k(w) + 2*q(w)?\nAnswer: -14*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*r + 129*r - 66 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011 (base 2) to base 3.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*-6)\/(sqrt(27)\/(sqrt(3) - sqrt(3)*-2)).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(2*t - 1 + 1) + 4*t + 0*t + 0*t + (-2*t + 5*t - 5*t)*(2 - 4 + 5))*(0 + 7 + 0).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 301ba20 (base 12) in base 2?\nAnswer: 100010010101000011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -846 by 282.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqqplplqppbpqpqqp. Give prob of picking 2 p and 1 b.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -127986 and 218357?\nAnswer: 346343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:52 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n. Suppose 1 = -5*d - 14. Let h = d - -3. Is h at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*z + 184 - 1082, -4*n + 686 = 3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103644 (base 13) to base 12.\nAnswer: -163376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:41 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 12:03 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 90.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876.7487 days to milliseconds.\nAnswer: 75751087680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 + 405216090*g\/13 + 405216092\/13.\nAnswer: -2*(g - 202608046)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l*v**5 - 92*l*v - 113221*v**4 + 323*v wrt v?\nAnswer: 60*l*v**3 - 1358652*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/7*-1*2. Let x be 75\/(-25) + v*2. Which is the closest to 0? (a) -0.03 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pccpceccfpcep. What is prob of picking 1 f and 1 e?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -542 + 7?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -26, -54, -102, -176?\n\"Answer: -z**3 - z**2 - 4*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*j - 10 + 4 = 0, -3*j = -2*y + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.018 - -5.018. Which is the closest to -4? (a) -0.5 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3*l - 3. Let i be q(2). Is i*(-2)\/(2\/35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 2538580?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {e: 1, u: 2, a: 1, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2284 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334845569*d + 95*d**2 + 13*d**2 + 74*d**2 + 334845569*d.\nAnswer: 182*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1141 - 0.11409666. What is r rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-231)*(-666)\/(-37)*7.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 divided by -60?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -137, -4, 41 in decreasing order.\nAnswer: 41, 1, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:59 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191936255 divided by -5.\nAnswer: 38387251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 equal to 200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 6*s**2 + 6*s - 5. Let c be y(5). Suppose 4*u + 38 = 58. Put 23, c, u in increasing order.\nAnswer: c, u, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6147*g*n**5 - 7*g*n - 9*n wrt n.\nAnswer: -122940*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(37091\/(-11511)).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/11887 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -5*i**4\/24 + 4*i**3\/3 - 257*i**2 - 4. Calculate r(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and 377.\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 + 0.266. Let d = 0.12642 + -0.100278. Let p = n - d. Round p to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9282639 less than 0.01?\nAnswer: -9282638.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1451, -1289, -1111, -911, -683?\n\"Answer: y**3 + 2*y**2 + 149*y - 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -250. Suppose 110 - q = -k. Solve -k*g - 11 - 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 1, z: 1}. Give prob of sequence cz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.463 to zero decimal places.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97455379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 15. Suppose p = -v + 2*v. Let q = 0.7 - 1.1. What is the smallest value in v, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 13*g + 9. Let r(c) = 2*c**2 - 7*c - 5. Let l(w) = -5*r(w) - 3*u(w). Let k be l(-3). Solve 2*f + k + 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -6. Let b be (-2)\/p - 14\/6. Is (-11)\/(2*b\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -l + d, -2*l - d - 2 = -47. Suppose 0 = 3*f - 13 - l. Calculate the remainder when (6 - 6)\/(4\/(-2)) - -22 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*(sqrt(405) + 2))**2*2 + ((sqrt(405)*-4)**2 + -3)*6).\nAnswer: -119040 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + k**3 - k**3 + (-k**4 + k**4 - 2*k**4)*(-2 - 3 + 3) - 25*k**3 + 25*k**3 - 10*k**4)*(0*k + 0*k - k - 2).\nAnswer: 5*k**5 + 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z**(-6)*(((z\/(z**(-2)\/z))\/z)\/z)\/z*z**1*(z**(1\/3)\/z**8)\/(z**(2\/5))**(-1\/2) assuming z is positive.\nAnswer: z**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 2042?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3*2\/(-4)). Let k(x) = 2*x - 1. Let w be k(9). Suppose 16*o + 2 = w*o. Solve f*n + 2*t - o = 0, 5*n = 2*t - 0 + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/177 and 127\/15154386.\nAnswer: 15154386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 0.68. Sort o, 5, 0 in increasing order.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgkgkkggkgg. What is prob of picking 2 k?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 29\/3, -147, -14 in ascending order.\nAnswer: -147, -14, 29\/3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.3, -0.35, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((0 + -1)*2). Suppose -q + 14 - 40 = x. Let c be 6\/(-30) - q\/5. Which is greater: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-14 - 0) - (1074 + -1088)) + (-2 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40416814.\nAnswer: 2, 3163, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3008 equal to -3008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*t**2 + 1 + (t**2 - t**2 - 2*t**2)*(3 - 6 + 0) - t**2 + 4*t**2 - t**2 to the form i*t + z*t**2 + b and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/27*(-1)\/((-10)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:24 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 - 5 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1368))\/(sqrt(10)\/sqrt(5)*4) - (2 + -4*(0 + sqrt(2736) - sqrt(2736))*-3)**2.\nAnswer: -4 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.341, -5, -36?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:56 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (25 + -13 - 66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -283 (b) 2 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163547365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4\/7 + 3709*j**3\/7 - 6189*j**2\/7 + 177*j + 1238\/7 = 0?\nAnswer: -1238, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 576943149 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2 - 286*u - 154. Give p(36).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 415. Let q be k(-70). Solve -p + 5 - 2 = -2*n, -4*p = -q*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 21*k. Let m(x) = 106*x + 105. What is -5*j(s) + m(s)?\nAnswer: s + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18928115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 32. Suppose z + 2*q = 5*z - 108, b = -5*z + 5*q + 130. Suppose 0 = 2*k - 92 + z. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (136 - 74 + 82*q - 65)*(-3 + 3 - 2 - 3 + 3 - 2 + (-2 + 6 - 2)*(2 + 4 - 5) + 2 - 1 - 5) in the form f + v*q and give v.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 15*t**2 - 7*t - 36. Give y(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -522074.11 rounded to the nearest one thousand?\nAnswer: -522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 24 = 18*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -39*21\/(-546)*686. Which is greater: h or 1041?\nAnswer: 1041","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582428054.\nAnswer: 2, 19, 6359, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p**2 + p**2 - p**2)*(-2*p + 3 - 3) + 0*p - 2*p**3 + 0*p)*(25*p**2 - 47 + 47).\nAnswer: -100*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3454.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((((v*v**8)\/v)\/v)\/v)*v*v**(-1\/7)*v\/v**8*v**(-2\/9)*v)\/((((v*v**(-7\/5)*v)\/v*v)\/(v\/(v*v**(-2\/5))*v))\/(v**(-2))**(27\/5)) assuming v is positive.\nAnswer: v**(-1283\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.331991 kilograms?\nAnswer: 6331991000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 9708810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6507 - -6521)*(-8)\/10\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**19*g**18 assuming g is positive.\nAnswer: g**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-11)\/((-5005)\/546)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -283248, -283298, -283348, -283398, -283448?\n\"Answer: -50*y - 283198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(12)\/(sqrt(8)\/sqrt(2)) - (1 + sqrt(3)*1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -112*m - 107. Let l be p(-1). Let s(u) = 8*u**2 - 2*u + 25. Let t(y) = -7*y**2 + 2*y - 24. Give l*s(q) + 6*t(q).\nAnswer: -2*q**2 + 2*q - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -67*b + 79*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*o - 15, 2*o - 7*x + 6 - 63 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -198841678 to the nearest one hundred thousand.\nAnswer: -198800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523487 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/i**(-7))\/(i**(-2\/7))**(2\/27) assuming i is positive.\nAnswer: i**(6257\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 43*i**3 - i**2 + i - 1. Suppose -x - 5*t = 2 - 8, -2*x = 2*t - 4. Let d be o(x). Let m(r) = r - 3*r + 42 - d. Let n(s) = -5*s**2. Calculate m(n(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (596*u + 248*u - 332*u)*(-3 + 0*u + u + 2)*(-3 + 6 + 5).\nAnswer: 4096*u**2 - 4096*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + (18 - 37) - (-3 - 415). What is the highest common divisor of 3485 and u?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 112 (c) -3101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1007 + -1008. Put -5, 1, 14, j in decreasing order.\nAnswer: 14, 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*1)\/(1*sqrt(28)) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1 - 3) - (-2)\/2. Solve k = t - 3*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332894062?\nAnswer: 2, 166447031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + -1 - 1\/(2\/6). Suppose -c*t = -2*o - 335 - 707, 0 = 2*t - 3*o - 419. Let s be (1\/(-2)*52)\/(-2 - 0). What is the highest common divisor of s and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2353 + -12?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -205, -227, -267, -325, -401?\n\"Answer: -9*i**2 + 5*i - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*(-80)\/(-64)*8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2007440 divided by -10\nAnswer: 200744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o + 1. Let l(u) = 2*u - 3*u - 7830*u**2 + u + 7832*u**2. Calculate x(l(r)).\nAnswer: -16*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97453 = 15058*r - 3626*r + 142619 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 57889656.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 2*f + f**2 - 6*f**3 + 6*f**3 in the form w + p*f + d*f**2 + j*f**3 + l*f**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b + 68 = -113*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168844 or 172453?\nAnswer: 168844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 31*u**7\/210 - u**4\/3 - 33*u**2. What is the second derivative of w(f) wrt f?\nAnswer: 372*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 + 8 + -13) - (-1 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.373 + 0.073. What is the nearest to -1.1 in 2\/7, -9\/4, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-5*sqrt(264))\/sqrt(6))**2)*-3 + -3.\nAnswer: -3309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 221*m**5\/10 + 307*m**2\/2 + 107*m - 1. What is the first derivative of i(z) wrt z?\nAnswer: 1326*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27742.\nAnswer: 2, 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 948134909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 8*f**2 + 167*f - 2058. What is j(10)?\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112287928 a multiple of 2089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10201.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 9*w**2 + 15*w + 63. Determine n(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a - 5*a + 4*a + 1)*(9 - 1 - 2) - 148*a - 40*a + 13*a)*(3*a + 0*a - 4*a).\nAnswer: 181*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/6)\/(6\/(-56)). Let z = a - 1. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18166092 to the nearest integer?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8\/5, -0.5, -1 in descending order.\nAnswer: 8\/5, -0.5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -67.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*u - 3485 = -79*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(102)*1*-1)\/((sqrt(600)*2 - sqrt(600)) + 2*sqrt(486)) + 1.\nAnswer: sqrt(17)\/14 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/2))\/n)**(4\/31))**24*(n\/n**(2\/13))\/n**3*n**(-6)\/(n\/((n*n*n**(-2\/11))\/n)) assuming n is positive.\nAnswer: n**(-30088\/4433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/5 + 4\/10. Let t(a) = -a - 4. Let v be t(-4). Let m = f - v. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:40 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2106, -4195, -6268, -8325, -10366, -12391?\nAnswer: -14400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61348 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 - 276 = -5*m. Suppose -m = 11*s - 219. Suppose 5*o = 3*o + s. Calculate the smallest common multiple of o and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 14. Let d be r(-11). Let k be ((-2)\/1)\/((-2)\/19). Suppose d*h = -4*n - 17, -4*h = -3*n - 0*n - k. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 - 8*s**2 - s + 14. Let i be b(-5). Suppose 465 = 12*l + 117. Calculate the highest common factor of l and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 200.7810256.\nAnswer: 200.7810256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, 1 r, and 1 y when four letters picked without replacement from {c: 2, r: 2, y: 1, i: 3, g: 7, d: 3}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12233142 (base 5) to base 2\nAnswer: 11100110010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p - 10. What is the third derivative of -6*c**2 - 3*c**p - 15*c**4 + c**4 wrt c?\nAnswer: -336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 11. Let g(f) = -f - 3. Let i be g(-5). What is the second derivative of -i*z + 6*z + 1 + z**h - 1 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - v + 2)*(-v**2 + 6*v**2 - 2*v**2) + (-2 - 1 + 2)*(-9*v**3 + 9*v**3 - 2*v**3) in the form m*v**3 + w*v**2 + i + k*v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196715 divided by -20995.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**3 - 37*s**2 + 42*s + 144. Let c(w) = -78*w**3 - 411*w**2 + 462*w + 1584. Let t(o) = 4*c(o) - 45*j(o). Factor t(g).\nAnswer: 3*(g - 3)*(g + 2)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102342 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 7*x + 7. List the prime factors of u(8).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 21*j**2 + 2*j. Let m(v) = 2*v**2. Calculate m(g(d)).\nAnswer: 882*d**4 + 168*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 784077 divided by -176?\nAnswer: -784077\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1664, -829, 2506, 8341, 16676?\nAnswer: 27511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 231?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-220)\/33)\/((-4)\/6). Suppose 0 = 3*r - 2 - n. Let f(l) = 2*l**3 - 7*l**2 - 3*l**3 + r*l + 2*l**3 - 8 + 3*l. Give f(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3675\/30)\/(-7)*7\/((-63)\/(-18)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 2*z + 6. Suppose -g - 120 = 23*g. Let v(x) = -4*x**2 - 3*x - 5. Let f(w) = g*m(w) - 6*v(w). Let t(a) = a**2. Determine f(t(p)).\nAnswer: 9*p**4 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -4 - -3) + (-2 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/725873 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(40)\/sqrt(5) + sqrt(8)))\/(sqrt(24)\/(sqrt(60)\/sqrt(5))) + ((sqrt(432)*-2 - (sqrt(15)*-1)\/sqrt(5)) + sqrt(528)\/sqrt(11)*3)**2.\nAnswer: sqrt(3)\/2 + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 27\/(756\/(-88)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 124. Which is the smallest value? (a) -2\/13 (b) -19 (c) g (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-346)\/60 - 4\/10. Let a = -14\/3 - q. Let r = 4.982 + 0.018. What is the nearest to -2 in -5, r, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w - 5 = -5*t, -2*w - 4*t + 4 = 0. Suppose 4*r - q = -6*q + 1427, -5*q - 25 = w. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701.85234951471 - -0.1.\nAnswer: -701.75234951471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*y + 4067, 0 = 3*y - 5*c + 3*c + 3051. What is y rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42245 is divided by 1257?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 38, 83, 162, 287, 470, 723?\n\"Answer: 2*m**3 - m**2 + 12*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 11, -0.06, 2.6, -5, -2\/9, 1\/3, 0.27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4737 is divided by 83.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1118, -2281, -3452, -4631?\nAnswer: -5818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 3247?\nAnswer: 4870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -474, -709, -928, -1125, -1294, -1429?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 5 = 2*s. Let w be 20\/(-8) + 1\/(-2). Let a be 1\/(-3) - (-1)\/w. Sort a, s, 0.3 in descending order.\nAnswer: 0.3, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15430 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12664127 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.161 + 0.161. What is the third biggest value in 3, 4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 1 + 3 + 0*o**3.\nAnswer: o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1244\/147 + 10\/49. Find the common denominator of g and 63\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3568889*l**2 - 3518595 with respect to l.\nAnswer: -7137778*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980800923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1570 (base 8) to base 3.\nAnswer: 1012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (156\/37960*146)\/(-3*(-39)\/45)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q. Let r(o) = -7*o**2 - 8*o - 23. Let z(w) = r(w) - 6*s(w). Give z(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a755b (base 13) in base 16?\nAnswer: -269984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) + 15488\/(-1608). Let v = i - -77528\/7437. What is the common denominator of 8\/27 and v?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/51 and -41\/2600622.\nAnswer: 44210574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -395, -787, -1181, -1577, -1975?\n\"Answer: -k**2 - 389*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13627159.\nAnswer: 7, 13, 149749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1.113 (b) -0.1 (c) 14572 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -31. Suppose -2*j - i*l + 0*l - 62 = 0, 4*l + 41 = -j. Let g be (-6)\/j + 12\/7. Solve -3*z - g*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*z - 107*z + 2*s = 130, -2*s = 2*z + 134. Sort z, -6, 1 in decreasing order.\nAnswer: 1, -6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -41, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*m - 6 = -4, -m - 25 = -5*b. Sort b, 3, 1, -1, 5 in decreasing order.\nAnswer: 5, b, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.361315 centuries in months?\nAnswer: 4033.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhyhyhhhy. Give prob of sequence yyyh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20537 and 4019651.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/90*-3)\/(2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5112918, -5112912, -5112872, -5112774, -5112594?\nAnswer: -5112308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 5*h - 1. Let f be v(2). Let w be (-10)\/(-3) - (-6)\/9. Suppose -w*t + 5*j = -10 - 10, -f*j = 2*t - 10. Solve -2*o + t*o = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*i + 7*i + 50 = 0, 0 = -3*r + i + 32. Calculate the lowest common multiple of 25 and r*(-1)\/4*-6.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(27 - 27 - 55*f**5).\nAnswer: 110*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*b + 902*b**2 - 916*b**2 + 760*b - 382*b.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31967 divided by 1793?\nAnswer: -31967\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70290)\/120*8\/(-3). What is the highest common factor of 71 and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2 - 1. Let d(a) = 7*a**3 + 3*a**2 + 4. Calculate -2*d(y) - 6*n(y).\nAnswer: -8*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u. Let v(q) = 1 + 9*q - 3*q + q + 4*q**2. Calculate -6*r(f) - v(f).\nAnswer: 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Suppose 4*p - 200 = -p. Solve 5*k = t*d + p, -3*d = 2*d - 3*k + 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040400 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -59755*k - 358539. What is p(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1637192 divided by -5.\nAnswer: 1637192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/21)\/(g*g**2) assuming g is positive.\nAnswer: g**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10767.2 - 10767. Put 0, 12, -16, -1\/2, m in ascending order.\nAnswer: -16, -1\/2, 0, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**2*x))**(-27) assuming x is positive.\nAnswer: x**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51670 + 51748. What is the lowest common multiple of l and (2\/3)\/((-2)\/(-72))?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0824 take away -58460.45?\nAnswer: 58460.5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -303462*z**4 - 332*z**2 + 5*z - 5.\nAnswer: -7283088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 11*f + 18. Let y be b(-9). Solve r - 1 - 1 = y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from essststys?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081849467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 985248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585 = 15747*i - 15786*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352 - 209. Let x = 143 - h. Solve -5*f = w - 23, 2*f - 8 = -x*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(27) + -1 - (-1 + sqrt(108) + 1)**2.\nAnswer: -104 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 57 + -19 + (-2 - 4) + (53 - 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 3*z. Let m(l) = 3*l**2 + 8*l. Let r(g) = 3*m(g) - 8*w(g). Let q(f) = -3*f - 4 + 5 - 1. Calculate q(r(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*p - 6 = 0, 647*y + 3*p = 642*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 - 295 = 11*r. Let f(g) be the second derivative of g**4\/6 + 11*g**3\/6 + 8*g**2 - g. Is f(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 48, 124, 238, 402, 628, 928, 1314?\nAnswer: 1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133953185 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30200 by 5.\nAnswer: -6040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 6*b - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 6490*f**2\/7 + 5261766*f\/7 - 5268258\/7.\nAnswer: 2*(f - 1)*(f + 1623)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2262 = s + 28*s. Let f = -74 + s. Solve a - 5 = -a + 3*l, 0 = -f*a - l - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 792\/7 - 6847\/56. Find the common denominator of s and (36\/4 - 7)*(-1)\/(-18).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 divided by -3?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -39\/5 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/96751016 and -101\/1775248?\nAnswer: 193502032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*-4*sqrt(21) + sqrt(21)))\/((sqrt(336)\/sqrt(6)*5 + sqrt(56))\/sqrt(8)).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-392)\/(-408)) + 7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39084 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w\/(w*w\/(w\/w**(7\/4))*w)*w))**(-32)*((w*w*w*w*w*(w\/(w\/w**(1\/11)))\/w)\/w)**(3\/8))**(-14) assuming w is positive.\nAnswer: w**(26747\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 588\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 3*n - 5. Let p(x) = -x. Give m(w) + 5*p(w).\nAnswer: -2*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 5. Let g(a) = 3*a - 6. Let q(i) = 4*i**2 - 2*i - 2. Let h be q(-1). Determine h*s(x) - 3*g(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.094923 rounded to 1 decimal place?\nAnswer: 506.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*q = -4*h + 159, 5*h + 5*q - 255 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.6 (c) -63 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44170308 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 18*y**2 - 32*y + 95. Is 17 a factor of h(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -14*k - 27. Let a = -17 - k. Let d = -44 - a. Solve d = t + 2 + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 11*z**2 + 11*z - 9. Let j be f(-12). Suppose y - 798 = -2*k + 99, -j*k - 1829 = -2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dhfdhhffffdhfdh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -39988 (b) 2 (c) -21\/19 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*f - 62*f**3 + 304*f.\nAnswer: -62*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 + -6. Let k = 24 - 22.3. Let q = k - 1.6. What is the smallest value in q, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 10)*(-3)\/(-2). Let y(g) = -g**3 + 14*g**2 + 6*g - 12. Is y(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -769, -764, -757, -748, -737?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 - -3.79. Let q = w - 0.09. Let x be (-1)\/(-3) - (-2)\/18. Which is the closest to -1\/2? (a) -3 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 20340186\nAnswer: 20340185.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-15)*-6*(-6)\/48 + (-2574)\/(-36).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 g when four letters picked without replacement from mmmmgmtmmgmmmmmg.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-64) + 2\/((-320)\/(-67892)). Is w at most 425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than 494744223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/10 + 3\/5. Suppose 5*a - 4*y - 22 = 0, -a = -5*y - 9 - 8. What is the smallest value in 5, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:26 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 5. Suppose 4*l + p - 12 = 0. What are the prime factors of l\/((2\/10)\/1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3740941317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -22. Let c = n - 5. Suppose -2 - 32*o + 10*o**2 + 10*o**3 + 10 + 4*o**c = 0. What is o?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2171*o - 2165*o - 1288*o - 1182*o to b + f*o and give f.\nAnswer: -6806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -9*y - 80400. Suppose 4*b = -0*b + y. What is b rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -869*k + 383. Is q(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4012280034 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**6 - 2 - 8*a**2 - 12 + 14 wrt a.\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -18 (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 3105?\nAnswer: 21735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 - j**5 + 3*j**5 + (-5*j**5 - j**5 + 8*j**5)*(1 - 1 - 1).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshgssshhskskkhhhhhk. What is prob of sequence gssh?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 556 - 545. Let r = -0.14 + -0.86. Let c(o) = 4*o - 1. Let p be c(-1). What is the nearest to r in f, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/162 + -2*34\/(-144). Which is the closest to 13? (a) -1 (b) 2\/13 (c) z (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 19 = 3*p, -24 = -3*n - 30795*p + 30794*p for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, -0.2, -5, -20.2, -0.6?\nAnswer: -20.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:42 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 7 = -9*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7*x = 16. Let i = -3 + 7. What is the third smallest value in x, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -943986672*m*o**3*p**2 + m*o**3*p + 2*m*o**3 - 6*m*o**2*p + 2*m*o*p + 2*m*o + 336*m*p - 226*m wrt p?\nAnswer: -1887973344*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i - 2. Let o(z) = -18 + 52 + 12*z - 16 + 2*z - 13. Let a(v) = 4*o(v) + 7*r(v). Determine a(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 600\/(-25) + 176 + 0 + 2. Solve q*y - 158*y + 5*h + 11 = 0, -5*y + 2*h + 18 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473323379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(40))\/((sqrt(27) - sqrt(243))\/sqrt(9)) - (-1 + sqrt(72) + 1 + -2*sqrt(72) + sqrt(72) + 5))**2.\nAnswer: 5*sqrt(2)\/2 + 201\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -97 * 13832\nAnswer: -1341704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 32 = 5*h, -4*h - 3 = 2*i + 1. Let s = i - -15. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -216 - -220. Solve -u + 13 = -2*u - 3*r, -w*u + 28 = -4*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3650\/(-55) + (-2)\/(-11) - (5880\/385)\/(-84)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 6:59 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = 0, 0*o + 4*o + 4*s = 20. Suppose -3*j + 45 = 2*x, -3*j + 51 = -o*x - 9. What is the highest common divisor of 136 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57\/7*f + 54\/7 + 3\/7*f**2.\nAnswer: 3*(f - 18)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 27. Let w be 4 + 3 - s\/2. Let z(r) = -w + 7 + 10 + r. Determine z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -3.\nAnswer: 272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5791, -5740, -5683, -5620, -5551?\n\"Answer: 3*c**2 + 42*c - 5836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022022012 (base 3) to base 2.\nAnswer: -1011000101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 149*n - 44519701 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 12882 + 57. Let s(d) = -17*d - 92. Let p be s(-7). What is the greatest common factor of p and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32066\/8040 + 340\/(-102) + 2\/(-3) and -103\/18.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -197938960 to the nearest one hundred thousand.\nAnswer: -197900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1581*v**2 - 96*v**2 + 1096*v**2 + 3 - 3 + v**2 - v**2 + 4*v - 4*v + (2*v + v + 0*v)*(-3*v + 5*v - 4*v) in the form i + k*v + g*v**2 and give g.\nAnswer: 2575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*k - 61 = 2, 3*k + 315 = 5*m. Suppose -3*y - 2*z = -43, -8*y + 3*y + z = -m. Suppose 5*r - y = 92. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021100100 + -11?\nAnswer: -1021100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:03 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2194 = -2209 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/((-520)\/1911) + 30. Let 6\/5 + j*r**4 + 3*r**3 + 27\/5*r**2 + 21\/5*r = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.64*0.4\nAnswer: -0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0*t + 40*t**3 - 4*t + 7 - 25*t**3 - 2*t**2 + 11*t. Let r(b) be the first derivative of -2*b**4 + b**3\/3 - 2*b**2 - 4*b + 1. Give -7*r(i) - 4*y(i).\nAnswer: -4*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {y: 1, k: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 261717 (base 8) to base 15\nAnswer: 1bec7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-135)\/30*-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2175*v + 4140 = -2037*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3532, 2123, -228, -3521?\nAnswer: -7756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5746\/23 + 18020\/69. Suppose 21*b + w*b**2 - 62\/3*b**3 - 49\/3 - 1\/3*b**5 + 5*b**4 = 0. What is b?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1360 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b**2 + 6 + 3*b + 8*b - b**2 - 10*b**2. Let g be x(10). What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100010 (base 2) to base 9\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 7*y - 32. Let p be h(0). What is the remainder when ((-112)\/p)\/(1\/6 + 0) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75.884 - 0.884. Which is the second smallest value? (a) -4 (b) v (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04798 and 0.2.\nAnswer: 0.24798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 104. Let l be ((-1)\/2 - u\/(-10)) + 81. Suppose s + l = a - 3*s, -2*s = 4*a - 218. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42981.31 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 + 1878*z\/5 - 1879\/5.\nAnswer: (z - 1)*(z + 1879)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-5))\/(2\/10). Suppose -a = 5*s - 0*s + 87, -78 = i*s - 2*a. Let x = s + 29. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 748752497 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 57\/975653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-10)\/6)*6. Suppose o - z - z = 41, 214 = 5*o - z. Suppose 0 = u + 3*d + 56, 5*d = -u - o - 23. Put k, -2, u in increasing order.\nAnswer: u, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 194*w**2\/3 + 196*w\/3.\nAnswer: -2*w*(w - 98)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + u = -2457, -5*u = 4*w - 390 - 1593. 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: What is the fourth root of 2043121469 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 1. Let u(y) = -12*y**2 + 15*y + 15. Let x(f) = 15*a(f) + u(f). Let o(v) = -v + 0*v - v. Give o(x(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2234 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.05059km in centimeters?\nAnswer: 1705059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12763.48 - 13229. Round h to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 10. Let s be o(0). Is 489\/(-1)*s\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33295481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 5 - 15 - 1856*z to s*z + r and give s.\nAnswer: -1856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5144384556 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 19 + (3 - -3 - 12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -18*q**2 + 38*q - 7. Give l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (24 + (2 + -5 - 10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 - u + 1. Let f(p) be the third derivative of -p**6\/60 + p**5\/20 - 5*p**4\/24 + 2*p**3\/3 - 7*p**2. Give -f(j) + 3*x(j).\nAnswer: -j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12786 - 12789.1814. Let d = a - 0.1566. Let h = -3.3 - d. What is h rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - 8.1. Let h = 23 - l. Let w = -33.3 + h. Round w to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -22*s - 24. Let x(u) = 11*u - 3. Let h(w) = 3*x(w) + z(w). What is h(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4611 and 4263?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15650 divided by -100.\nAnswer: 313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11424 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(((l\/(l**(-5)*l))\/l)\/l)\/l)\/l)**(-4\/13) assuming l is positive.\nAnswer: l**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 - 20*l**4 + 34*l**3 + 248*l**2 - 1056*l + 1152 = 0. What is l?\nAnswer: -4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 33*l - 38*l - 15, -2*l + 10 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j + b + 3, 3*j = 4*b + 17. Let h be 1 + (32\/18 - j). Let a = 63 + -62.9. What is the closest to -1 in a, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**33\/(n*n**(-2)\/n)**(-3\/7)*(((n*(((n\/n**1*n)\/n)\/n*n)\/n*n)\/n)\/n)**(-4\/7)\/(n*n\/(n\/n**3*n)*n\/(n\/(n*n**(-3\/5))*n)*n) assuming n is positive.\nAnswer: n**(-514\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 139, 98, 63, 40, 35?\n\"Answer: u**3 - 3*u**2 - 39*u + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3918 by 133892.\nAnswer: -1959\/66946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 217125 (base 10) to base 14\nAnswer: 591ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58912, 235648, 530208, 942592, 1472800?\nAnswer: 2120832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4100086 is divided by 544.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59251441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2779124394 to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54220194948 - 5?\nAnswer: -54220194953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 580, -1, -0.1, 0.2, -321 in descending order.\nAnswer: 580, 10, 0.2, -0.1, -1, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c + 1\/12*c**5 + 11\/4*c**4 + 0*c**3 - 29*c**2 + 0. What is the second derivative of v(g) wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/73667 and 61\/1628?\nAnswer: 294668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/12 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)*h\/(h\/h**(-9)))**36*(h**2\/h)**(-47)\/(h*h**(1\/4)*h*h**(1\/4)) assuming h is positive.\nAnswer: h**(-4941\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2. Let z(o) = 327310*o**2. Give m(z(f)).\nAnswer: 642791016600*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 3. Let g(x) = 17*x + 21. Let p(j) = -3*j - 4. Let c(h) = 4*g(h) + 22*p(h). Determine 2*c(f) + 3*q(f).\nAnswer: -5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -138922614294747.\nAnswer: -138922614294743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 13*g**4\/12 + g**3\/3 + 5*g**2. Let w be n(-2). Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29928617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*d + 23 + 18, 3*g + 2313 + 2385 - 4645 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 + 5*w + 2. Let t be d(6). Let b = t + 0. Suppose 3*x + 14 = 5. Sort b, -1, x.\nAnswer: b, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006282267 rounded to 6 decimal places?\nAnswer: 0.000628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -20545566371.\nAnswer: -20545566368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 9*s - 7. Let l(v) = -v**2 + 5*v - 3. Let z be 1107\/(-246)*2*2\/(-9). Determine z*x(k) - 5*l(k).\nAnswer: 3*k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 18 - (2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 7 - (0 + -16)) + (154 - 60) + -41.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*t**3 - 64*t**2 + 64*t**2 + 286*t**3.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6)**(-8\/9) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*d**6 - d**5 + 2028*d**3 - 49*d**2 - 1861*d + 2 wrt d?\nAnswer: 16800*d**3 - 60*d**2 + 12168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 2, z: 10, e: 4}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275.28*3.\nAnswer: 825.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366236309\/2 or -183118154?\nAnswer: -366236309\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**6\/5 - 3*i**5\/25 - 3*i**4\/10 + i**3\/5 + 25. Suppose m(c) = 0. What is c?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -93, -248, -465?\n\"Answer: -31*i**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 179 + 349 = 0. Let m be o\/(-420) - 2\/7. Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -860*m**2 + 4*m + 1. Let b be a(3). Let v = 69473\/9 + b. Find the common denominator of 0\/(-5) - 104\/6 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n = -47*n + 30. Is 24 a factor of 5\/(n\/(-4)) + (19 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-11)\/(-4) + -5)*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - y - 23 = 6*t, 0 = -4*t - 4*y - 44. Which is the biggest value? (a) -2\/5 (b) 0 (c) -1\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10159297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/43? (a) -12 (b) -0.1 (c) 96\/49 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228404.62 plus -60121?\nAnswer: 4168283.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1013)\/7 + (-4)\/14. Let c = 59 - 119. Let n = c - b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203642.94999895 - -203643.48. Let s = 0.53 - g. Round s to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 20 = -2*c, 5*c - 13 - 42 = -6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (0 - (-6)\/3). Solve h = -p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17920896 and 7.\nAnswer: -1.25446272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-8))\/(2\/(-12)). Let n = i + 4. Let c = 24 + n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1584) - (sqrt(1584) + 0 + sqrt(1584) + -3) - -5*-2*sqrt(1584)))*2)**2.\nAnswer: -4224*sqrt(11) + 766720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.934 - -14. Let f = w + -0.0726. Round f to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 23*x - 24*x + 34*x + 39*x.\nAnswer: 70*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.952 + -72. Let j = l + -0.196. Round j to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 + 185. Let b(v) = -v**3 + 31*v**2 - 3*v + 93. Let q be b(i). What is the nearest to 1 in 2\/9, -2\/15, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-3 + 2 + 0)*(2*f**3 - f**4 - 2*f**3).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7230 - -7238. Let h = 5 + -7. Sort 3, r, h in decreasing order.\nAnswer: r, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69440 and 1260.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(4 - v - 4) - 175*v + 181*v + 0 + 2.\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/689181 and 19\/24?\nAnswer: 5513448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rfffjwa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 277.058 - 2.858. Round v to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5 = -3*w, 17 = -5*a - 3. Let k be (4\/w)\/(8\/(-20)). Factor -15*o**3 + 14*o**2 - 21*o + 6 + 13*o**k + 6*o**4 + 0*o**4 - 3*o**4.\nAnswer: 3*(o - 2)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -90, 0.14, 5, 1\/3, 3.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.11 - 0.11. Let s = 19 - 19.5. Let b be (-14)\/(-44) - 3\/6. What is the third smallest value in l, b, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 + 3?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/99 and (-10)\/(-8)*8\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - p + 2. Let i(o) = o**2 - o. Let b(t) = -4*i(t) + u(t). Calculate b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 194 = 4*l - 10, -199 = -4*l + i. Calculate the smallest common multiple of l and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 49. Let s be (14 - 9) + 1*-1. Put w, 3, 0, s in decreasing order.\nAnswer: w, s, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3302\nAnswer: -1\/3302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 400559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3 - 49*n**2 - 105676*n - 2?\nAnswer: 6*n - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 115077 divided by 179\nAnswer: 115077\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Let t(b) = 3*b**3 - b**2 - q*b**3 + 5*b**3 - 4*b**3. Determine t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*s**3 - 470*s**2 - 3966*s - 648.\nAnswer: -2*(s + 12)*(s + 27)*(6*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 + 8*v**2 + 35*v + 17. Let j(k) = -k**3 - 3*k**2 - 11*k - 5. Let w(f) = -7*j(f) - 2*l(f). What is w(7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 392 - 23\/2*o**3 + 30*o**2 + 434*o + 1\/2*o**4.\nAnswer: (o - 14)**2*(o + 1)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18290 smaller than 5441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72\/(-66) - (-63262)\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*i = 8, -4*m - 5*i = -0 + 2. Which is the nearest to 1\/4? (a) 3 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -992981, -992996, -993001, -992990, -992957, -992896, -992801, -992666?\n\"Answer: o**3 - o**2 - 19*o - 992962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 124*d**3 - 5*d**2 + 8*d + 8. Let t(q) = 249*q**3 - 11*q**2 + 19*q + 18. Calculate 9*p(m) - 4*t(m).\nAnswer: 120*m**3 - m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -33*a - 19. Calculate b(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((78\/5)\/(3\/2))\/(4413\/(-22065))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 87. Let b be (5 - 269\/x)*3. Let g = 192 - b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 36 = -8*a. Let c(d) = -5*d - 17. Let i be c(a). Is 28\/1 - 0*i\/(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/3364000 and 1\/24000?\nAnswer: 20184000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 8:32 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:09 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 383475637 or 383475638?\nAnswer: 383475637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 113623?\nAnswer: 681738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 660683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 12*g - 5*g**3 + 13*g.\nAnswer: -16*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*o**2 - 135*o - 137*o + 255*o wrt o.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/16)\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 10:29 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**3 + 1163*s**2 - 10*s + 10. Let f(v) = -5*v**3 - 1163*v**2 + 8*v - 8. Determine 5*f(a) + 4*m(a).\nAnswer: -a**3 - 1163*a**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a decade in months?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/3 - 1874*p**3\/3 - 2506*p**2 - 9406*p\/3 - 3764\/3 = 0 for p.\nAnswer: -2, -1, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.217 or 1\/87?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, e: 1, d: 2, x: 1, q: 1}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20 + -1)*(-145)\/26. Suppose -348 - 288 = 6*s. Let b = i - s. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4846503 * 0.02.\nAnswer: -96930.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = 165 - 243 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r - 24 = 3*z, 0 = 2*z + 2*r - 4. Let i be z*2\/((-6)\/5). Suppose 33 = i*u - 12. Solve 0 = -3*o - 0 + u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15577 - -15577. Let m(j) be the first derivative of -20 + q*j**3 - 9\/2*j**4 + 0*j - 11\/2*j**2. What is the second derivative of m(u) wrt u?\nAnswer: -108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d + 13*d + 70 + 9*d + 9.\nAnswer: -5*d + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 2*c - 16*c - 3 - c + 3 + c - c + 2*c + (4 + 2 - 4)*(0*c + 2*c + 0*c) - 6*c + 4*c + 0*c - 4*c + 6*c - 16*c + 2*c - 3 + 3 - c - 2*c + 0*c.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uubbbubbbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -1\/12*g**4 - 3*g**2 + 0*g**3 + 1\/20*g**5 + 0*g + 0. Find the second derivative of a(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 3. Suppose -4*t + 2 = -6. Let y(b) = -3*b - 2 - t*b + 2*b + 4*b. Calculate 3*h(q) - 5*y(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**3\/2 + 35*k**2\/2 - 3*k. Let d be v(-11). Suppose 226 = d*u - 164. What are the prime factors of u?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -21a?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 1, c: 1, y: 2, k: 1, e: 1}. Give prob of sequence eyt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1323425 (base 6) to base 7\nAnswer: 423644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 24*j**2 - 2*j - 1. Let v be k(-1). Suppose 16 = 5*r - 6*r. Let s be 33\/22*r\/(-6). Solve 0*c = 2*c + 5*i - 23, s*c = -3*i + v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39251.623 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + d - 1. Let x = -12 + 13. Let h(w) = -3*w**2 - w**3 - 1 + 4*w + 2*w**2 - 3*w. Let o be (1\/2)\/(2\/(-4)). Calculate o*s(q) + x*h(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = -24. Let d = n - 6. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1745\/(-17799)*1*6\/10.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*t**3 + 817*f - 2*t**6 + 23*t**4 + 5*t**2 wrt t?\nAnswer: -12*f - 240*t**3 + 552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6 = -5*j, 10 = 236*j - 233*j + g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/(-59))\/((-6)\/(-462)*-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026033764 divided by 256508441.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.997094 + -1.004. What is s rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -1 (c) -4 (d) 89\/7 (e) 2 (f) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**2 - l. Let j(n) be the first derivative of -79*n**2 + 7358. Give j(u(r)).\nAnswer: 1106*r**2 + 158*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:07 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023059 to four decimal places.\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvvvvcvvcvcvvvcvcv. What is prob of picking 2 v and 2 c?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50058 and 6533298.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3\/(-6))*2. Suppose -5*i - 4 = -4*r, -2*r - 6*i = -i + 28. Let n = -5.22 - -6.22. Which is the nearest to 2? (a) k (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-48) - (-92)\/6. Calculate the greatest common divisor of 30 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11245, 11280, 11297, 11290, 11253?\nAnswer: 11180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213627, -427215, -640803?\nAnswer: -854391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25196, -25076, -24896, -24668, -24404, -24116, -23816?\nAnswer: -23516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:46 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 252 and 0.336493.\nAnswer: 84.796236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8825 - 8816.909. Round w to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 6. Let a be c(2). Let k be a\/13*(2 - 1). Solve k = o - 5*p + 23, 2*o + 6 + 16 = 4*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4526 <= -13580\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**16*(f**(2\/5))**(1\/6) assuming f is positive.\nAnswer: f**(-1199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let z(x) = 2*x + 6. Let l(w) = w + 1. Let g(d) = 6*l(d) - z(d). Let t(f) = 4*g(f) - 7*r(f). Let o(q) = -q**2. What is o(t(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 2279674706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*p - 110*a**3*y - 12*a**2*p + 4*a*p*y - a wrt y?\nAnswer: -110*a**3 + 4*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 8*f**2 + 8*f + 4. Let s be l(-7). Let o = -61 + 66. Suppose 9*x + o = -13. Is s at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 5*w + 85 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -2) + -30 + 17 + -10 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n**2. Let y(x) = 17*x + 2*x**2 - 17*x. Determine w(y(t)).\nAnswer: 40*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445 + 21?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 213*y\/7 + 352\/7.\nAnswer: -(y - 32)*(7*y + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let k be o(0). Find the second derivative of -3*a + 4*a**k - a - 2*a**2 wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1 + -1 + 7 + 2. Let q = 32 - -58. What is the highest common divisor of q and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, q: 2, d: 1, e: 2}. What is prob of picking 1 v and 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(10)\/(sqrt(15)\/sqrt(3)) - sqrt(2)) + -3 + 0 + sqrt(6)\/sqrt(3) + sqrt(2) + sqrt(2))**2.\nAnswer: 12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w + 21. Let j = -1255 - -1260. Suppose 5*d + 160 = j*c, 5*d + 26 = c + 7*d. What is the lowest common multiple of c and q(0)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b - 3. Suppose -3*j + 0 = -4*s - 2, -4*j = -s - 7. What is the units digit of r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + 1518 = 0. Let b = -295 + a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, -13\/1000?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*-5*4)\/(sqrt(144)*-3 + sqrt(144) - (sqrt(4) - sqrt(32)\/sqrt(72)))*-1.\nAnswer: -300*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -1 + sqrt(76) + 0.\nAnswer: -1 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:00 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*j + 132*j - 6120. Let v be -2 - -1 - 7*-13. Calculate the greatest common factor of j and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -46f?\nAnswer: 46f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2 - 2 + 0*x + 7*x - 2. Let l(n) = 2*n**2. Calculate l(f(s)).\nAnswer: 98*s**2 - 56*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73043?\nAnswer: 73043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680593765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 5}. What is prob of sequence wzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -1051, -2419, -4379, -6937, -10099, -13871, -18259?\nAnswer: -23269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 13*x**2 - 9*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 7*f - 30)*(3*f**2 + 4*f**2 - 9*f**2) + 0*f - 4*f**3 + 0*f + (-1 + 1 + 2)*(f**3 - 4*f**3 + f**3).\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6624935159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -676 + 706 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and 903.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 406.000199 + -406. What is d rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -68.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3445, 3902, 4553, 5398, 6437, 7670, 9097?\nAnswer: 10718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thty when four letters picked without replacement from tyttttththttthtthtth?\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/88 - 23\/8. Does 10 divide (28 + r)*(1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -37*f - 666. Calculate p(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1354384*m**5 + 1702731*m?\nAnswer: 27087680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -114*y - 4768. Let f be b(-42). Calculate the greatest common factor of 772 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 3. Suppose 5*h + 2*u + 5 + 2 = 0, 3*u = -4*h. Let i be k(h). Let p be ((-14)\/i)\/(11\/(-3)). Is p > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 1\/2 (b) 2 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -167, 0.14, -115\/2.\nAnswer: -167, -115\/2, -0.2, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (12 - 13)) + 3 + -30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 (base 13) in base 5?\nAnswer: -2034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 51 - 9. Suppose 4675 = p*k + 3*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472) - (3*2*sqrt(5472) + sqrt(5472) - sqrt(5472)))\/(sqrt(242) + sqrt(242)*2 + sqrt(98)*-1).\nAnswer: -30*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (77 - 46 - 69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygeegyaaa. Give prob of picking 1 g, 2 e, and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388136360 = -55*i + 35*i. Let r = i + -47406818. What is r rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*2.182118\nAnswer: 15.274826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43353039 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 - 5*w + 3. Let v(h) = -h**2 + h - 1. Let j(t) = -2*t**2 + t - 2. Let z(q) = j(q) - 6*v(q). What is -3*d(i) + 2*z(i)?\nAnswer: -i**2 + 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 59. Let m = 14 + -12. Let y be 5 - (8\/4)\/m. Put y, -3, d in decreasing order.\nAnswer: y, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 3*m + 4*m)*((m - m - m)*(0 + 4 - 6) + 3*m - 1 + 1) in the form z*m**2 + n + q*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i. Suppose -2*x + x - 4 = i, u - 4*x = 21. Suppose -4*h = -u*y - 77, 70 = h + 4*h - y. What is the remainder when 36 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/2 + 112*g**2 - 2555*g\/2 + 1166 = 0. What is g?\nAnswer: 1, 11, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100010*g - 14 - 105606*g + 14 to p + m*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88771.\nAnswer: 88771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5 + 0 - 5 + 3*p. Let b(v) = -9*v**2. Calculate b(s(i)).\nAnswer: -81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -6*k + 37. What is the greatest common factor of 532 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, 164, 622, 1524, 3020, 5260, 8394, 12572?\n\"Answer: 25*j**3 - 3*j**2 - 2*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147992 + -88659. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133318591 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63904338 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**4 + 186*a**5 - 104*a**5 + 3*a**4 - 21*a - 3*a**4 wrt a?\nAnswer: 1640*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let s(n) = -10*n + 2. Calculate s(a(o)).\nAnswer: 20*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2368*g**3 - g**2 + 1. Let v be x(1). Suppose 0 = -4*a + 324 + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - (-2 + (1 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aao when three letters picked without replacement from moaoomma.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**2 + 326*m - 124. Determine l(-36).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16080\/100)\/((-2)\/(-10)). Which is smaller: s or 805?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/14 - ((-68)\/28)\/1. Let q(a) be the third derivative of -a**5\/60 + a**4\/6 - 2*a**2. Calculate q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 0.4.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 1.705870489125?\nAnswer: -64.294129510875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -281*n**3\/3 + 69*n**2\/2 - 219*n. What is the derivative of x(u) wrt u?\nAnswer: -562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9403 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*h - 708 = 0, 1052 = 2*a + a - 5*h. Suppose -4*c + a - 100 = 0. Let w = c + -36. Solve 5*n + w = 0, 43 = 5*r - 5*n + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 14*s**5 - 496*s**4 - 50862*s**3 + 74360*s**2 + 80552*s - 44160 = 0?\nAnswer: -46, -1, 3\/7, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(56)\/sqrt(4)*1)\/(sqrt(24)\/sqrt(3)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + 9 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 8*q**2 + 6*q - 101. What is u(-9)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-165)\/12 - -9)\/(-3). Solve z - p*z**3 + z**2 - 1\/4*z**4 + 0 = 0 for z.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 j when three letters picked without replacement from ttljj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.3 - 11. What is the smallest value in a, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5719*h**3 - h**2 + 3522*h - 1?\nAnswer: -34314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2148\/(-77) + 8\/(-2). Let a = 310\/11 + p. Calculate the common denominator of a and 29\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -13*z**2\/2 - 13*z - 91. Is k(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34960 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*j - 9804 + 3834 = 5054 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33360\/27800*(-2)\/(-18)*-10*(-9)\/(-20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9942 divided by 2\nAnswer: 4971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**5 - 70*i**4 + 360*i**3 - 880*i**2 + 1040*i - 480 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -3, -41, -85, -123, -143, -133, -81?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1.4 (c) 0.2 (d) 1 (e) 1636\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 191*c + 6075. Calculate o(87).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/9 - 512*q**3\/9 - 4816*q**2 - 1183360*q\/9 + 2544224\/9.\nAnswer: -2*(q - 2)*(q + 86)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/4 - 2373*t**2 + 1058463*t\/4 + 3198239 = 0.\nAnswer: -11, 124, 9379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Let w be 80 - (144\/(-24) - -1*2). Suppose -3*y + 0*y - b*k = -w, 4*y - k - 122 = 0. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4, 2167.698?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let w(k) = -k**3 + k**2 - 6*k - 5. Let b(j) = -5*j**3 + 2*j**2 - j. Let y be b(1). Let f = 9 + y. Calculate f*d(v) + w(v).\nAnswer: -v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44*-9*2\/(-8). Let g = i + -71. What is the smallest common multiple of 36 and g?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2 - 5607*y + 4*y**2 - 1 + 0 + y**2 + 5608*y. Let l be c(1). Solve -d - 2 = -6*d + l*z, -3*d + 8 = 5*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 3:56 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47635\/3 in 1.86, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22264)\/11880 + 36\/(-2430)*-5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (53 - -9)*(-1)\/(2 - 3). Let j = 64 - h. Suppose -n + j = -0*n, -5*n + 65 = f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = 210. What is the common denominator of d and -48\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 72 = -53*a. Solve 2*y - 2*i = 0, 0*y + a*i = 3*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 7. Let n be d(7). Suppose n*r = 25*r - 300. Calculate the highest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, -3, -5, -1\/18 in descending order.\nAnswer: 3, -1\/18, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i + 11 = -5*u, 0 = i + 2. Let s(w) = 2 + 2*w + 3 + 9*w**2 - 4. Calculate s(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31339*z = -10229*z + 2786520 for z.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**4 + v**3 - v**2 - 10*v - 1. Let q(g) = 4*g**4 - 51*g**2 + 242*g - 387. Let x(j) = -3*i(j) + q(j). Factor x(o).\nAnswer: (o - 4)**2*(o - 3)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/180*64\/(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2176, -4368, -6556, -8740, -10920, -13096?\nAnswer: -15268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 15) to base 12.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84\/23? (a) 0.4 (b) -10 (c) -38 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -14 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Let v(w) = 8*w**2 + 12*w - 36. What are the prime factors of v(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/35 and 125\/6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*o - 1777373 + 1789448 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 4\/13, 3, 2\/5?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1) + (-16)\/4. Let y(n) = n**3 + 3*n**2 - 6*n - 4. Let w be y(x). Find the second derivative of o**2 - o**2 + o**4 - 6*o - 2*o**w wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.028375 - 56.019375. Let m = -56 - v. What is m rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/3 and 238\/(-28)*(0 + 3\/(-139)).\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6496*w + 6498*w + 6*w**2 + 3*w**3 - 7*w**2 - 10 to i + l*w + d*w**2 + c*w**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (616 - 691 + 1395 + 452)*(-2*t**2 + 3*t**2 + 0*t**2).\nAnswer: 1772*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 49307*b + 42551939. Give c(-863).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*s - 36, 5*s + 2*r + 26 + 8 = 0. Let j(a) = -a**2 - 7*a + 11. Calculate the remainder when j(s) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2908 + -2839. Let x(a) = 2*a**2 + a - 2. Let n be x(3). Let q = s - n. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2922647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 3*d**3\/2 + 5*d**2 + 2*d. Let n(q) = 5*q + 5. Let w(a) = 11*n(a) - 6*s(a). Give w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195 - -205. Let d = 0.4 + -0.3. Is d > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*f = -14*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 20. Let u be w(-8). Let c be ((-2)\/u)\/(5\/30). Find y such that 4*y**c + 0*y - 8*y**5 + 10*y**2 + 2*y**3 + 0*y**5 + 2*y - 10*y**4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1388\/(-4322) + (0\/(-3))\/(-3). Let x = -1974669\/196651 + a. Let h = 72\/7 + x. Is 0 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53026465\/1072 - -49465. Find the common denominator of r and 43.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7\/2 (b) 20 (c) -4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -66*f**2 - 6 + 58*f**2 + 26. Let q(k) = -k**2 + 3. Calculate -40*q(b) + 6*u(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 12 = a + 2*v - 0*v, d*v - 16 = -2*a. Suppose 5*t = -h - 3*h - 11, 2 = -a*h - 2*t. Which is bigger: 2\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:48 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(-6)*-4 + 9 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8)*(-4)\/(-5). Let u = -181.75 - -26.05. Let n = 156 + u. Which is the second smallest value? (a) 0.2 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 - 355 = 59*p - 531 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -21, -5\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p**3*y + 25147*p**3 + 75*p**2*y - p**2 + 2*p*y + 2*p with respect to y.\nAnswer: 7*p**3 + 75*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 183 = -4*i. Let y = -53 - i. Let t(w) = -w**3 - w**2 + 3*w + 3. Determine t(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 1\/6, -0.07, 0.93, 3\/5, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4 + 0) - (0 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2. Let y(z) = z**2 - 51*z - 50. Let d be y(-1). Let s(i) be the first derivative of -17 - 17\/2*i**d + 0*i. Give s(r(u)).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12178.32 + 11346. Let a = -4.68 + r. Let z = 837.00411 + a. What is z rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654212263 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -315390 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y. Let b be 1\/(3\/9) - 0. Let a(h) = -h - 2. Let g be a(b). Let t(v) = -7*v. Let q(u) = g*s(u) - 3*t(u). What is q(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1. Let i(b) = -4*b - 7. Determine -i(j) + 6*q(j).\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9433718 is divided by 410161?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30080.41 from -0.2.\nAnswer: -30080.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 3. Let t be u(0). Sort -9, t, -4.\nAnswer: -9, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.2, 0.044, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-2)\/(1 + -5)*1. Solve -5*o = -2*t - 28, 2*t - i = 3*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131295 = 159*t - 144*t. List the prime factors of t.\nAnswer: 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b39 (base 12) to base 14.\nAnswer: -6393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -335 - -471. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*g - 2, 4*x + 3*g - 3 = -4. Let d = x - -2. Let w = 135981 - 135978. Solve w*s - 7 = -d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l - 74*l - t = -7, 0 = 5*l + 4*t + 37 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in 1, -1\/3, 6, -4\/7, 1.6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 = -g - 17, -5*h = 2*g + 23. Suppose -g = q - 11. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 - 39*y**2 + 38*y + 619. Calculate r(-11).\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 549*(24\/(-9))\/(-4). Let q = i - 155. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9118, -0.1, -29\/49?\nAnswer: -29\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3498237.\nAnswer: 3, 388693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 11*j**2 - j + 7. Let s be o(11). Which is the third smallest value? (a) s (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(-1)))*l)**4*(l*l*l**1)**(1\/2)*((l**(-2\/15)\/l)\/((l*(l\/l**4)\/l)\/l))**(-48) assuming l is positive.\nAnswer: l**(-1321\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 211150 (base 6) in base 16?\nAnswer: 42ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73386 - 73353. Suppose u + x = 26, u + 3*x = 6*x + 6. Calculate the highest common factor of u and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222555929*d**3 + 254345864 wrt d?\nAnswer: 667667787*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61229803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2318227 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 82 = -7. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 1203311?\nAnswer: -1203231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1223980 divided by -4.\nAnswer: -305995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-20)*q**27*(q*q*q*q\/(q*(q*(q*q**(2\/19)\/q)\/q)\/q)*q*q)**19)**(-1) assuming q is positive.\nAnswer: q**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 4. Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2513\/35 - -2*(-2)\/(-20). Let i be 10400\/(-6)*(q + 3 + 0). Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1226 and -2?\nAnswer: 2.2452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -12155*z + 122349. Give u(10).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -28*k**3 + k**2 - 6. Let n(c) = 29*c**3 - c**2 + 5. Let g(t) = 4*l(t) + 5*n(t). Suppose 203*d - 90*d = -113. Determine g(d).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 2. Let v be 6*12\/9 + (-12)\/(-4). Let z = v - k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -a. Suppose -5*p - a = -21. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 - -38. Let r be b\/10*2*-1. Suppose 5*o = 3*d, -2*o - d + 4 = -7. Solve 4*i + r = o*t, -3*i + 3 = 2*t - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -264*g + 179. What is the tens digit of w(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-27))\/(4 + -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 8. Let h(r) be the first derivative of r**3\/3 + r**2 - r + 5. Let c be h(q). Calculate the greatest common divisor of c and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 12*g + 66. Let z(a) be the third derivative of a**4\/24 + 5*a**3\/6 + 18*a**2 + 13. Give 2*v(m) - 27*z(m).\nAnswer: -3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12660 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 + -0.39?\nAnswer: -670.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6*m + 2)*(-4 + 4 + m)*(-13 + 83*m**2 + 10 - 87*m**2).\nAnswer: -24*m**4 - 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112.9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 446.\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 422537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-162) + 136\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -41 (c) 0.5 (d) 2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 2873788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 4:15 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -406034272?\nAnswer: 406034274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 1805633?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:37 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4))\/w)\/((w*(w*w**(-15))\/w)\/w) assuming w is positive.\nAnswer: w**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 153513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/12 and -65\/25472.\nAnswer: 76416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and 6422.177078?\nAnswer: 6422.197078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 + 125*a**4 + 624*a**3 - 135*a**3 + 273*a**3 - 47*a**3 - 845*a**2.\nAnswer: 5*a**2*(a - 1)*(a + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 1. Let z be m(6). Let a = 352 - z. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:33 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 54404*803\nAnswer: 43686412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(637) + sqrt(637) + -1 - (0 + sqrt(637) + -1))*-3 + sqrt(637) + -2 + sqrt(637) + 3 + -5*-3*sqrt(637))**2.\nAnswer: 322*sqrt(13) + 336974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 17\/120*h**6 + 3\/8*h**4 - 3\/2*h**3 + 0*h - 3*h**2 + 0*h**5 + 0. Let k(q) = 4*q**3 + 2*q - 2. Give 2*f(a) - 9*k(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from mhhhmmm.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x - 15 = 0. Let l be (-4)\/(-22) + (-56252)\/25256*(-12)\/7. Solve l*p + 0*p + 8 = -5*w, -x*w = 3*p + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.47 - -27.53. Let q = -63436033 + 63436005.000011. Let k = h + q. Round k to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oqoqppvlqqlvqqmovm?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/((-78)\/(-36)) - 6. Let v be 21 + (-4 - -2) + 1. Solve -4*t + 4*f - v = c, -t - 3*f - 2 = -9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 0.017. Let j = 2.907 + w. Let s = j + -3. Is s at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2249963688 to 3 decimal places.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*n = -15, -2*w = -0*w - 4*n + 2. Let k = 12 - w. Solve -3 = -3*x - 6, 0 = -4*d - x - k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (-3 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 1)*(94 - 94 - 18*z**2) + (11 + 9 - 9)*(2*z**2 - 2 + 2) + 2 - z**2 - 2.\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 249268*v**2. Let g(x) = 4*x**2. Determine g(s(z)).\nAnswer: 248538143296*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r + 16. Suppose 5*t - k = -r*k + 3, -k = 4*t - 1. Let i = 10 + t. What is the remainder when 19 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5123460 or -5123462?\nAnswer: -5123460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 344516389 + -3?\nAnswer: 344516386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-45)*(-3)\/(-2)*(-89)\/(-801)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxokkwxmkkwrxmo. Give prob of sequence mk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -38046558*j. Let h(u) = -u**2. Give h(m(x)).\nAnswer: -1447540575647364*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 16*a**2 - 29*a - 22. Let y be h(-14). Let l(c) = -c**3 - 9*c**2 - 8*c - 4. Give l(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813094*r + 813101*r + 231 = 0 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Suppose o - h*o = -44. Let f = -3 + o. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa941 - -5?\nAnswer: -aa939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 372690389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*l - 2, 5*p = -5*l + 10*l + 15. What is the nearest to l in -2, 0.4, -12\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 2, r: 3, k: 2}. What is prob of picking 2 r and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31554, 31372, 31078, 30666, 30130?\nAnswer: 29464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 84 = 6*l. Which is the second smallest value? (a) -4\/7 (b) 9\/4 (c) 1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 0*q**4 + 0*q**4)*(6 + 13 - 6).\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 1 (c) -2\/3 (d) 0 (e) 13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100202222 (base 3) to base 9\nAnswer: -10688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = -22*k + 1035. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let p = -1 + 7. Suppose -i - s*y + p = -1, 18 = 2*i + 2*y. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5, -0.72, -0.1 in increasing order.\nAnswer: -0.72, -0.1, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 66*m**5 + 13*m**4 - 15*m + 13. Let h(w) = 33*w**5 + 6*w**4 - 7*w + 6. Let j(x) = -6*d(x) + 13*h(x). Find the second derivative of j(b) wrt b.\nAnswer: 660*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)*-2)\/sqrt(10))\/sqrt(4) + 2 + -1.\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*k + 54*k + 10541 = 2711 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -373130 (base 8) in base 7?\nAnswer: -1043633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 6\/((-210)\/(-125)). What is the second biggest value in 1\/2, m, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -761516700?\nAnswer: 761516701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/7861477 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffrl. What is prob of picking 1 f and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12301231313 + -10?\nAnswer: -12301231323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -122260 divided by -1\nAnswer: 122260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*n + 64, n - 211*f - 42 = -210*f. Calculate the remainder when 2544 is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 96.95111 nanoseconds?\nAnswer: 0.00009695111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250742707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -34. Let m be 4\/w - (-84)\/(-39). List the prime factors of (22 - -1) + 2 + m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.94864 to 1 decimal place.\nAnswer: -82.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*t - 2*t. Suppose -2*k = t*p - 2*p - 31, -3*p - 4*k = -13. Suppose -88 = -p*c + 3*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3578288 and 4128.\nAnswer: 21469728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -27*k**2 - 1144*k + 1935. Give j(-44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15) + (-6)\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 166 = 139 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -595975 divided by 5\nAnswer: -119195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34600 and 155700.\nAnswer: 311400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 - 14 = -3*p, 5*t = -4*p + 7. Suppose 2*r = 3*c - 0*c + 8, 0 = p*r + 5*c - 12. What is the remainder when 14 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(425) + sqrt(425)*-1))**2 + sqrt(425) + 0.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 70. Let t = c + 15. Which is smaller: -1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 210 = g. Which is the second biggest value? (a) 1 (b) -2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 10 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 3*y**2 - 3*y - 2. Let b be o(-3). Suppose -154*d = -143*d - 385. Calculate the highest common divisor of d and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -28*y - 470. Let p be f(-17). Let z(w) = w**3 + w**2 + w. Let b(j) = -19*j**3 - 6*j**2 - 6*j. What is p*z(q) + b(q)?\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -41. Suppose -303 = -5*v + 2*c, 3*v - t*c - 71 = 109. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*t + 151*t - 50*t**2 + 153*t.\nAnswer: -50*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 204 = 5*x. Solve x*z = -12 - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27627969?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 - 46*y**2 + 534*y + 125. Determine a(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -29\/6 (b) 0.2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -275 + 274.8. Which is the closest to 0.2? (a) -0.3 (b) r (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a - 2*k - 6 = -35*a + 28, 2*a + 4*k = -42 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-3))\/((-1)\/5). Let v be (1 + 10\/(-8))*0. Suppose s*r + 20 = v, -4*a + 126 = a - 4*r. Calculate the least common multiple of 6 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/19 + -23\/38. Let u = -1 + -2. Sort u, n, -2\/5 in ascending order.\nAnswer: u, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 = -1. Let o = x + -2. Suppose -h + 51 = 3*f, 0 = 2*f + o*f + 5*h - 85. Solve -1 = -4*r - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240031408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (3 - 6) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (3096 - -15) - 2\/(2\/(-2))?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 57*j**2 - 54*j**2 - 331*j**2 - 193*j**2 + 6*j.\nAnswer: -635*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17 + -3)*((-18)\/(-1))\/3. Is 662\/5 - (s\/30)\/7 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 5*a + 5*f + 205, -3*f = a + 41. What is the second biggest value in -1\/3, 0, a, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 473 by -2.\nAnswer: -473\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 3:32 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47, -0.3, 49, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 3142464?\nAnswer: 3142461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + t = 3*t - 4, 2*i + 5*t - 10 = 0. Suppose -2*q + 0*q + 4 = i. Let w = q - 6. What is the biggest value in 0, -3, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130336 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 230841511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(2) + 4 + 1 + sqrt(2) - sqrt(24)\/(sqrt(24)\/(-1*sqrt(2))))*4 + -4)**2*-4.\nAnswer: -3264 - 896*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/24 - 17*a**3\/6 + a. Let h(y) be the second derivative of v(y). Let t(n) = -4*n**2. Calculate h(t(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349.8 - -350.1. Put g, 40, 0.1, -3 in decreasing order.\nAnswer: 40, g, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/8 and 55\/452.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 8, -4, -20, -40, -64, -92?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(8\/3))**(-49) assuming u is positive.\nAnswer: u**(392\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 3*k**2 + 4*k + 2. Suppose -2*c + 5 - 19 = d, -d = -2*c - 6. Let u be b(d). Solve 12 = -4*y + 2*q, -14 = u*y + 5*q - 10*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/15 - (-4)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 7081966.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 7*v**2 - 46*v + 30. Let a be i(4). Which is greater: 159\/7 or a?\nAnswer: 159\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75.9 and -203?\nAnswer: -15407.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -91 and 21153.96184843.\nAnswer: 21062.96184843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 5*f + 25, -5*o = -f - 3*f - 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*f + 2052 = -58*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*f**2 - 182*f**5 - 5*f + 0*f**2 + 4438*f**3 - 4438*f**3 wrt f?\nAnswer: -3640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 11. Let b be i(-6). Let s = -239 - -222. Put s, 5, b in increasing order.\nAnswer: s, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 - (-72)\/16. Solve -4*d + 10 = 3*y, -12 = -w*y - 4*d + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t*(((t*t*t*(t*t**0)\/t*t)\/t)\/t)\/t*t)\/t)\/t))\/t)**(1\/36)\/(t\/((t*t**(1\/3))\/t*t)*t)**(-24\/5) assuming t is positive.\nAnswer: t**(571\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (-23 + 63 - 82).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644 by 62490.\nAnswer: 322\/31245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(-16) assuming h is positive.\nAnswer: h**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3308243, 6616504, 9924761, 13233014, 16541263, 19849508, 23157749?\nAnswer: 26465986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1065 + 951 - 2255 - 10*o as a + c*o and give a.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16180231.\nAnswer: 29, 73, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Let w(v) = 4*v**2 - 2*v + 1. Let z be w(s). Find the second derivative of 12 + 2*t**5 + z*t - 12 wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24637, -49305, -73973, -98641, -123309, -147977?\nAnswer: -172645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 483*j - 93324. Determine v(148).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 127. Let w = -34 - z. Calculate the remainder when 44 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110011011 (base 2) to base 14.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 - 7. Suppose 12 = 7*h + 40. Let c(l) = 5*l**2 + 6. Give h*g(u) - 5*c(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-378)\/40*60\/360 and -139\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -374 + 183 + 191 - 3*m. Let s(q) = 4*q**2. What is s(t(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 0*p - 2*p - 18 = 0, i + 6 = -p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 377*m**3*s**2 - 2*m**2*s**3 + 402*s**3 wrt m?\nAnswer: 1131*m**2*s**2 - 4*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k - 37. Let q be k\/(-21) - (-2301)\/21. Suppose -2*m = -7*m + q. Calculate the remainder when 63 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42669870 is divided by 349753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 7, -2.5, -2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -5*t + 3*g, 2 = -t + g. Let d be (-10)\/(-25) + t\/(-10). Which is bigger: -1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -10*n**3\/3 - 5*n. Let c(r) = 0*r + 0*r - 292696*r**2 + 292705*r**2. Calculate h(c(q)).\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1153 - 274. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1398*v - 41. Let j(y) = 2796*y + 82. Let m(f) = -4*j(f) - 9*o(f). Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-4 - (-3 + 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4*q**4 + 3 + q + q**4 - 5 as w*q + c*q**4 + j*q**2 + f*q**3 + g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from {g: 1, k: 1, w: 1, z: 1, r: 2, l: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/6 + v**3\/3 + v**2. Let q = 18 + -13. Let k(i) = q - 5 + i. Give -6*k(m) - p(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 16) to base 15\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112316 + -22?\nAnswer: 112274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:55 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 (base 5) in base 15?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -94, 18.\nAnswer: -94, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134\/453 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40817, 41507, 42197, 42887, 43577?\n\"Answer: 690*z + 40127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3535 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -32, -59 = -5026*f + 5029*f + 2*j for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let n = 1 + s. Suppose n = 5*c + 2*r - 556, 0 = 4*r - 9*r - 10. What is the greatest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:44 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -m - 60, -83*i = -79*i - 5*m + 19 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-6)*j)**(4\/21))**(-27\/7))**(-39))**(-10) assuming j is positive.\nAnswer: j**(-112320\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/137160175 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/3 + 14*x**3\/3 - 44*x**2\/3 - 110*x\/3 + 175 = 0?\nAnswer: -3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 12 + 14)*(2*b - 2*b - 2*b**2) as r*b**2 + h*b + i and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128 + -131. Which is greater: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -209\/3. Which is smaller: o or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa6 (base 13) to base 12.\nAnswer: 23b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41879\/2 or -20939?\nAnswer: -41879\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1*(-7)\/(28\/4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334025086.\nAnswer: 2, 667012543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.193551 microseconds in milliseconds?\nAnswer: 0.001193551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128789 + 128789 - 6817*m.\nAnswer: -6817*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105446, 843573, 2847062, 6748595, 13180854, 22776521?\nAnswer: 36168278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/224 and -107\/560?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-126)\/(-60) + 3\/(-30). Sort -5, p, 3, 24.\nAnswer: -5, p, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-3)*(-18)\/(-12). Let z be (-144)\/(7\/((-19250)\/d)). Round z to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iucccccucciccc. What is prob of sequence uui?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*c - 45*c - 32. Let u(o) = -o**3 - 6*o**2 + 16*o + 17. Let h be u(c). Solve 9*r - h = 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 154558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, -93, -530, -1141, -1926, -2885?\nAnswer: -4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*f - 0, -4*k = -f - 12. Suppose -q + k*w - 4*w = -26, -2*q + w = -37. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 2\/541?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + 66 - (-6)\/(-3). Suppose m*q + 160 = 64*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -172*g + 141*g. Calculate the greatest common divisor of 71 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*q + 2 = 0, 4*s - 4*q - 45 = -37 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and -232646.\nAnswer: -232647.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -145*k. Let m(x) = 36*x - 8. Calculate m(a(v)).\nAnswer: -5220*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2365 (b) -12 (c) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -6, 24 in descending order.\nAnswer: 24, 1.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -57*n**7\/35 - n**5\/30 + n**4\/12 + 13291*n**3\/6 + n**2 - 123*n - 7. What is the derivative of o(y) wrt y?\nAnswer: -1368*y**3 - 4*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2356, -9427, -21218, -37735, -58984, -84971, -115702, -151183?\n\"Answer: -z**3 - 2354*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:33 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = 5*z - 776. Let y = -2836 + 2850. What is the highest common factor of y and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2743946, -5487891, -8231836?\nAnswer: -10975781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 623?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560272.\nAnswer: 2, 7, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:09 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**2 + 21*p + 28*p**2 - 25*p + (2*p**2 + 2*p**2 - 2*p**2)*(2 - 1 + 0).\nAnswer: 19*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1, 107?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*s**3 - 18*s**3 - 21 + 75*s**3 to the form k + y*s + o*s**2 + p*s**3 and give p.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**3\/5 + 18*s**2\/5 - 33*s\/5 - 18. Factor a(o).\nAnswer: -3*(o - 11)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 6*s + 2*s + (2 + 1 - 1)*(s - 4*s + 8*s) + s + 0*s + 0*s + (2*s + s - s)*(5 + 0 - 3) in the form q*s + u and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 47 - ((-3 - 38) + -6) - (3 - -2)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173983 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*y - 5 = 0, 6*u - u + 1 = y. Suppose 0 = -5*h + 15, 4*x + h - 35 = -0*h. Let r be (0 + 0)*3\/3. Solve 2*d + u + x = r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 278 + -276. Which is the second biggest value? (a) 5 (b) 45 (c) s (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - 330\/(-77). Suppose -3*t = -2*m - 61, -t + 4*t - 71 = a*m. Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 4:03 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - b + 0*b)*(2 + 0 - 3) - 82*b - 139*b + 25*b - 4*b + b + b)*(-b**2 - 4*b**4 + b**2).\nAnswer: 800*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - 425042?\nAnswer: -424541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 7:36 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 52 = -5*v. Let w = 18 + v. Solve -8 = x + w*f + 8, 0 = 3*x - f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2158 divided by 1.\nAnswer: -2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, y: 4, o: 1, n: 1, a: 3}. What is prob of picking 1 y, 1 l, and 1 n?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1463 times 1.7\nAnswer: 2487.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 5475?\nAnswer: -5470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 352e + 3?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1855 by -226067.\nAnswer: 1855\/226067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.144 times -668838\nAnswer: -96312.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 16 = -4*r, 2*z - 6 = r - 2. Suppose -5*t = 5*b - 890, -5*b - 4*t + 6*t + 925 = z. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 22. Calculate g(-19).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3476 (base 11) to base 5.\nAnswer: -121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224188063 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 + 0)*(l + 0*l - 5*l).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + o = 14, 13*h + o = 12*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.06, 8\/3, 0.03, 14?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*v + 1, -5*v - 34 = 2*p - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33883 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -492 - -635. Calculate the highest common divisor of 407 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 12*g**2 - 146*g + 582. Determine a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2\/19))*y**(4\/7))**43 assuming y is positive.\nAnswer: y**(3870\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 1059, 1593, 2145, 2721, 3327, 3969?\nAnswer: 4653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 3*t. Let r be f(-3). Suppose 0 = -2*h - 2, -2*h + 113 = 5*m - r*h. Let a = m + -4. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 692117997 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 4*g + 10 - 2*g. What is the least common multiple of u(0) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q**3 + 30*q**3 - 20*q**3 + 8. Let x(t) = t**2 + 6*t. Let f be x(-7). Let n(j) = 7*j**3 - 7. Give f*n(g) + 6*v(g).\nAnswer: g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 310 + 172 = 0. Suppose 2*f - 397 = 59. Let s = z + f. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - ((-2954)\/273 + 7\/(-21)). Let 2\/13*l**2 + 2\/13*l**3 - s*l - 2\/13 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3648)\/95)\/((-126)\/140*(-12)\/(-18))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13809 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27523?\nAnswer: 17, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 194\/3. Let u = 0.4 - -22.6. Let j = u + -20. Which is the third smallest value? (a) 1 (b) 0.1 (c) j (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24869, 24877, 24887, 24899, 24913?\n\"Answer: t**2 + 5*t + 24863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49067\/60 - 4146\/5. Let t be 668214\/(-48)*4\/18. Let p = 3096 + t. Calculate the common denominator of n and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -611 - -4554. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/2 - (4 + -10). Suppose 0 = a*n + 6 - 26. Let w(k) = -5*k**2 + 52*k**3 - 2 - 17*k**3 - 17*k**3 + 2*k - 17*k**3. Determine w(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1108 and -10587565294.\nAnswer: -10587565294.1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-521*(-1)\/(-3))\/((-6)\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3806 = -10*t - 54016. Let v = 95447\/19 + t. Is 4 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1 = 0, a = 33*n - 31*n + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 679*f + 56843. Give i(98).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 45*m**2 + 4*m - 2. Let t be z(-4). Suppose -249 = 3*v - t. Is 3*(-8)\/12 + v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -5 - (1 - -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -12. Suppose v*w - 2288 = w + 4*d, 0 = 5*w + 5*d - 2900. Suppose -w = -7*s - s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-32) + 18\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + t + 5 + 4, 3*t - 1 = -u. Let w be (-4 + 1318\/8)\/(1\/u). Suppose 1049 = 5*h + 4*z - 3*z, 3*h + 4*z = w. What are the prime factors of h?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-18) - 260\/(-144))\/(18*(-12)\/(-144)). Let y be (-1)\/3 + 4\/6. Suppose 2 = 3*l + 14. What is the third smallest value in y, l, -2, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/52 + (-12)\/(-16). Let b = 1.2 + -6.2. Sort f, b, 0.\nAnswer: b, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q - 35. Let c(s) = 4*s**2 - 2*s + 1. Let p be c(1). Calculate the remainder when 13 is divided by (2 + q)*(-4 + p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672831534 and 76?\nAnswer: 1345663068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(((c*c**3)\/c)\/c))\/c)**(-1\/71))**(4\/3)\/(c**(7\/3)*(c*c*c*c*c**(4\/3)*c)\/c)**(5\/7) assuming c is positive.\nAnswer: c**(-2703\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/9 + -2 - (-1108)\/36. Suppose 0 = -q + 3*k - 0*k + 31, -5*k = q - j. Suppose 8*v = -3*v + 1320. What is the remainder when v is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 - 40027364*u\/5 + 24016422 = 0.\nAnswer: -20013685, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1372 + 3486. Suppose -j = 2*n - 3147, -5*j - 4*n + 17819 = k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448566154*f**2 - 224283078*f**2 - 224283076*f**2 - 4*f**3 - 3*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*i - 5. Let l(z) = 4*z**3 - 4*z**2 - z**3 + z - 2*z**2 - 2*z**3 - i. Calculate l(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 - 16*m + 102. Let v(x) = x**2 + x + 2. Let c(w) = i(w) - 6*v(w). What is the tens digit of c(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(108) + (sqrt(108) - -4*sqrt(108)) + sqrt(108)))\/((sqrt(36)\/sqrt(4) - sqrt(9))*5 + 2*sqrt(441)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-6)*(160 - -2). Let k be 114\/b - (-3)\/4. Find q such that 2\/9 + k*q**2 + 4\/9*q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) -11\/41 (d) -2\/7 (e) -13 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/9 + 35*s**2\/9 - 323*s\/9 + 289\/9.\nAnswer: -(s - 17)**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-250)\/15. Let s be r\/(-6)*(-30)\/20. Suppose -4*n = 2*a - 2*n - 10, s*a - 5*n = -25. Solve -3*c - 6 = -a*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 837 + -455. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**6 + 61*i**5 + 2*i**3 + i**2 + 2*i - 661?\nAnswer: -600*i**3 + 3660*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/2 + -1. Find the common denominator of -31\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 204*d**2 + 79*d - 477. Calculate t(3).\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 0)*(81*t + 409*t + 134*t)*(-3*t**2 + 2*t**2 - t**2).\nAnswer: 7488*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 1}. What is prob of picking 1 g and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/53)\/((h\/(h\/(h*h*h\/(h**14*h)*h)))\/h*h)*(h*h**(-3\/8))\/(h\/h**(-9\/7)) assuming h is positive.\nAnswer: h**(27607\/2968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 362.7015.\nAnswer: -725.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 3. Suppose -5*h - 11 = 2*f, f = 5*f + 5*h + 7. Suppose -2*a + 3 = 5*u, f*u = -a - 4*a - 3. Let o(l) = -l - 1. Give a*b(w) - 3*o(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*q - 205, -5*q + 0*q - 425 = -2*p. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4075 = -3*d - 2621. Let i = d - -1172. Let q be i\/(-35) - 4\/14. What is the greatest common divisor of 75 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35255726041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12959 + -12955. Let k = -9.1 - -0.1. Let f = k + 12. Which is the nearest to 0.1? (a) f (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 5*p**2 + 4*p**2 + (-66*p - 33*p + 139*p)*(6*p - 2*p + 3*p).\nAnswer: 281*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48674 times 3596\nAnswer: -175031704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42\/23 in -129, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 25*d**3 + 7*d**2 - 17*d. Let i(m) = -8*m**3 + m. Give g(n) + 3*i(n).\nAnswer: n**3 + 7*n**2 - 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o + 60*o = 66*o - 170 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and -7.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 10*v - 1 + 17*v - 598*v**2 + 250*v**2.\nAnswer: -348*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.147963 millennia?\nAnswer: 914.7963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -123, -156, -169, -156, -111, -28?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 5 (c) 1765 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.2. Suppose 5*n - 63 = -3*p + 3*n, -2*p = -2*n - 42. Let a be (9\/p)\/((-12)\/(-42)). What is the third biggest value in 2, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4 + 31972*g**3 - 127744120*g**2 - 255616144*g = 0.\nAnswer: -2, 0, 7994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*n - 16*n**4 + 19613 - 2*n**2 - 19631 + 40*n as j*n**2 + v*n**3 + y + k*n**4 + r*n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -456, -683, -910?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -67.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98*c**2*h - 132*h with respect to c.\nAnswer: -196*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**3 + 648*q**2 - 276*q + 74. Determine s(-93).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**3\/9 + 11*j**2\/6 - 4*j - 17. Factor v(k).\nAnswer: (k - 1)*(k + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - 3*r. Let t(g) = 7*g**2 + 7*g. Suppose -2*l - 2 = -l. Let z(h) = l*t(h) - 5*b(h). Determine i, given that z(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: What is the ten millions digit of 822663796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 12.1. Let a = f - 0.099988. Round a to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.905 to 0 decimal places.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose -c = -6*b + q*b + 22, 2*b + c - 18 = 0. What is the greatest common factor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 578 * 1396\nAnswer: 806888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66716 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.57435949 rounded to three dps?\nAnswer: 27.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56980 is divided by 2849?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33183, 66375, 99571, 132771, 165975?\nAnswer: 199183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/5 + (-18)\/30. Let x(o) = o**2 - 2*o - 11. What is the remainder when 17 is divided by x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.05 - -0.05. Let u = 1 - t. Let q = 0.06 - 0.36. Which is the closest to 0? (a) q (b) u (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8211932 by -2052983.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7683 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 - 79*h**2 - 48*h**2.\nAnswer: -116*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, t: 2, h: 5, p: 3}. What is prob of sequence pzh?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -7082916.\nAnswer: 134575404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1645, 6570, 14787, 26302, 41121, 59250, 80695, 105462?\n\"Answer: u**3 + 1640*u**2 - 2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/293, 1, 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -537 or -1\/4?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 686, 1521, 2698, 4223?\nAnswer: 6102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 13*d**2 - 9*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from jsrrroro.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -635 divided by -42585.\nAnswer: 127\/8517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/1680*195\/(-4) + -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 115*v - 285. Let s be z(60). Which is the nearest to 2\/9? (a) s (b) -4 (c) -0.076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.1 (b) 0.3 (c) -26 (d) 4 (e) -179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*4*3\/(-18). Let t = v - -2. Let j = 25\/153 - -1\/17. Is j equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -421 + 418 + (2 + -2 - -24)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*z + 47*z. Which is the biggest value? (a) z (b) -0.0409 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = 258. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -174525 (c) 346\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 282 - -122. Let r = w - 241. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 3*h - 7. Let o(u) = -11*u**2 - 8*u + 20. Suppose 1430 = 45*q - 40*q. Let m = q + -283. Determine m*o(v) + 8*c(v).\nAnswer: -v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = -1294*t + 1300*t. Calculate the greatest common divisor of 689 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/202 and 87\/4.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694 divided by -2?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 914872 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*4\/((-8)\/(-1)). Let q be (-3)\/(k\/(4 + -7)). Suppose 2*a + 10 = 0, -n - q*n - 4*a + 168 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -2585c9?\nAnswer: -2585cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 3*v**2 + 12*v + 71. What is a(-7)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -19. Suppose -2*x = 3*x. Let n = x + f. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 0.4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 0.3126 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0*x + 34*x**2 + 0*x**3 + 23\/70*x**7 + 0*x**4 - 4 + 0*x**6 + 61\/30*x**5. Find the third derivative of o(p) wrt p.\nAnswer: 1656*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**3\/3 + j**2\/2 - 179*j - 145. What is the remainder when h(11) is divided by 37 - (-1 + 3)\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 30*z**3 + z**2 - 2. Determine c(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 3*m**2 + 5*m + 6. Let g be n(5). Let v = -3 - g. Let q = v + 4. Calculate the smallest common multiple of 12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + 2*sqrt(88)*-4 + sqrt(88))\/sqrt(8))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44774 and 16.\nAnswer: 358192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsdsskdkdjjfkda. Give prob of sequence kkd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*h + 0*h = -52, -x + 16 = -2*h. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2162134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7 - 1 = 0. Suppose -s*g + 136 = -3*g. Suppose -j = 2*t - 54 - 30, -3*t - 4*j + g = 0. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 + -24)*4\/(-6). Suppose 2*w = -4*k + 3*w + v, -3*k - 2*w = 5. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 greater than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 21 + 22 = -5*m, -3*l - 7 = -m. Which is the nearest to 1? (a) -0.2 (b) -4\/11 (c) -1\/3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/30 - 2*h**5\/3 + 2*h**4 + 48*h**3 - 3*h**2 + h. Solve k(l) = 0 for l.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, and 2 b when four letters picked without replacement from {a: 4, b: 5, c: 1, y: 5, j: 4}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3*w + 3. Let f be n(4). Let u(m) = -m**3 + 8*m**2 - 10*m + 11. Let b be u(f). Which is greater: -9 or b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14576 is divided by 139.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027247*-0.5.\nAnswer: 0.0136235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (123252\/1098997)\/((-4)\/(-642))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176198827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16259\/12 + 1343. Calculate the common denominator of ((-2)\/4)\/(10\/34) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -36, -16.\nAnswer: -36, -16, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6)*(-5 + 5\/4). Solve 2*b - 4 = -v*r - 5, r - 4*b = -9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:10 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7070 + 636323\/90. Let h = -13787\/5 - -2746. What is the common denominator of l and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - t**2)*(0*t**2 - t**2 - 4*t**2) + (0*t + 0*t - 2*t**2)*(1 + 2*t**2 - 1) + t**3 - 3*t**4 - t**3.\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75, 147, 219, 291?\n\"Answer: 72*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735817039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let p(c) = c**3 - 5*c**2 + 2*c - 7. Let j be p(5). Let v(f) = -f**2 + 3*f + 1. Let z be v(j). Let a(d) = d + 1 - z. Give x(a(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/8505*-27)\/(249\/27)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659*y + 9706 = -237*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78583\/14 + -5616. Find the common denominator of t and (-60)\/40 - (-53)\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5*x + 3*x)*((-x - 1 + 1)*(3*x**3 + 0*x**3 - 2*x**3) + x**4 + 2*x**4 - 5*x**4 - 2*x**2 - x**4 + 2*x**2 - 38*x**4 - 3660*x + 3660*x).\nAnswer: 42*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 + 0 = 0. Let m = -59 - -59. Sort i, m, 1 in decreasing order.\nAnswer: i, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(11 + (-9)\/((-18)\/(-8)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*w + 24 = -3, -24 = 2*d - 2*w. Let b be ((-28)\/6)\/(3\/d). What is the greatest common factor of 126 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14580)\/4374)\/(3\/18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-4)*(-12)\/10. Let k = 4 + -2. Suppose o - i*o = -k. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996 smaller than 2992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27289850*-4.\nAnswer: 109159400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1675*o + 288. Is f(43) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 800 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2382, 5, -3, 43 in descending order.\nAnswer: 2382, 43, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71689?\nAnswer: 17, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -861173*h. Let a(r) = 4*r**2. Give a(w(m)).\nAnswer: 2966475743716*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 289668 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 6*g - 5. Let r be u(-2). Suppose 510 = r*v + 2*v. Let n(y) = y**3 - 18*y**2 + 20*y - 25. Calculate the remainder when v is divided by n(17).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 8*u - 2. Let d(q) = 9*q - 118. Suppose -2*j + 3*c = 4*c - 24, -j = 4*c - 5. Let f be d(j). Let y(k) = -k**2 + k. Give f*t(w) - 8*y(w).\nAnswer: 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -356.140457102 + 0.28.\nAnswer: -355.860457102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23940 divided by 20\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-100)*4*(-5)\/12*-15?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/x*x**(-1\/9)*x**5\/(x**(-8)*x)*((x**(-2\/13)\/x)\/(x\/x**(-2)))**(-34) assuming x is positive.\nAnswer: x**(17447\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 2 - 8 - 1)*(-5 + 2 + 1 + (-2 - 1 + 5)*(3 + 2 - 4) + 2 - 2 - 3)*(-10 + 13 - 6) as u + r*i and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 9:05 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 435523 - 14529*x - 435523 to the form p + m*x and give m.\nAnswer: -14529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1) + -12 + 18. Determine c so that -2\/5*c**n - 18\/5*c**2 - 4\/5 - 14\/5*c - 2*c**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 4*r + 34*q - 29*q + 6 = 0, -3*r + 3*q = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6*k = -48. Let b be -3 - 54*k - 3. Round b to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1.7665?\nAnswer: -0.7066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24847.731 + -235.\nAnswer: -25082.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4 - 244*v**3 - 4340*v**2 - 16412*v + 52200 = 0.\nAnswer: -29, -25, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:05 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(132)\/(sqrt(22)\/sqrt(2))))\/(sqrt(6) - (sqrt(864)*1 - sqrt(864)) - sqrt(18)\/(-2*sqrt(3))).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 85*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12*u**3 - 10*u**2 - 11. Let a(h) be the third derivative of h**6\/120 + h**5\/60 + h**3\/6 - 23*h**2. Give 22*a(d) + 2*b(d).\nAnswer: -2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 241.34? (a) 8 (b) -0.1 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:10 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*k - 516, -5*d - 3*k = 94 + 782. Let m = d - -444. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen eighths of a day?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 94. Let l be (-156)\/16*28\/(-6). Let b = l - h. Which is greater: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3\/4 (c) 11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*s - 11. Suppose -s*k = -3*k - 135. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 88.\nAnswer: -159\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**(7\/2)*(z\/z**5)\/((z\/(z\/(z**(-2\/23)\/z)))\/z)*((z\/(z\/z**(2\/25)))\/z**(-9))\/(z**(1\/4)*z*(z*z\/(z*z*z**(2\/23)*z))\/z) assuming z is positive.\nAnswer: z**(11217\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 f, and 1 m when four letters picked without replacement from {p: 1, m: 3, i: 1, f: 3, v: 2, q: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460357270?\nAnswer: 2, 5, 41, 3561847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(-1)*h*h)\/h)**(-5))**(-29)*(h**4*(h*h**3*h*h)\/h)\/(h\/(h**(-1)\/h))**50 assuming h is positive.\nAnswer: h**149","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**4 - 118*o**3 - 486*o**2 + 6175336*o.\nAnswer: -36*o**2 - 708*o - 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16240 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -0.9, -0.3, 5 in increasing order.\nAnswer: -0.9, -0.3, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326512568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.9 - -1.9. What is the second biggest value in 5\/2, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**4\/24 + 7*z**3\/6 + 2*z**2. Let k be h(5). Let y be (-37)\/(-7) + 8\/(-28). Solve -y = -3*f - k*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/480)\/((-9)\/6*1)*215*-1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*x = -2*x + 16, 40905*q + 4*x + 28 = 40907*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/28016735 and -137\/85690?\nAnswer: 616368170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1082.8 + 845. Let s = 238 + q. Let r = 0.5 + 1.5. Which is the closest to s? (a) -2\/19 (b) r (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + 0 + (-7 - -30) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = g - 39 + 17. Solve -2\/5*m**4 + 6\/5*m**2 - 2\/5*m**g - 4\/5 + 2\/5*m = 0 for m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17469, 32314, 57059, 91704, 136249, 190694, 255039?\n\"Answer: 4950*h**2 - 5*h + 12524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.11819?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 7 + 9. Let w = 5 - a. Calculate the greatest common divisor of 27 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggygygyyyygygyygyyy. Give prob of sequence gy.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 1624166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -2110?\nAnswer: -2110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**9\/756 - j**8\/140 - j**7\/105 + 17*j**3 + 2*j + 50. Let f(p) be the second derivative of b(p). Factor f(o).\nAnswer: -4*o**3*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:30 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -174*v - 521. Let x be q(-3). Which is the closest to 2\/9? (a) 7 (b) 45 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 75*s**2. What is w(-1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Suppose -n*p = -0*p - 2. Suppose 5*y = -2 - 8, q - y + 1 = 0. Sort p, q, 2 in increasing order.\nAnswer: q, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8.19. Let c = h + -1.29. Let a = -1 - c. What is the closest to a in -0.3, 2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let f(y) = -1061 + 2*y + 1061. Give f(l(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19746, 79319, 178590, 317547, 496178, 714471, 972414, 1269995?\nAnswer: 1607202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-35910)*19*2\/16*6?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2, 1\/5, -20, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -0.5, 1, -4.\nAnswer: -4, -0.5, 1, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 14*s + 31. Let a be g(-11). Let k = 32\/33 + 2015\/66. Calculate the common denominator of (124\/(-16))\/((a\/12)\/(-1)) and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -54*y - 2. Let b(i) = -i**2 + 6*i - 12. Let o be b(6). Let f be a(o). Let v(p) = -f + 646 + 7*p**2. Let t(z) = z. Give v(t(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1219\/5 (b) -1\/6 (c) -6\/7 (d) 0.5 (e) 26 (f) -0.068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/1 - 1814*(-5)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 12*p**2 + 10*p - 2. Let i = 33 - 20. Let t be y(i). Let o = -178 + t. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((666\/66)\/(-3))\/((-95)\/209).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 3*sqrt(700) + -5 + (sqrt(49)\/sqrt(343) - -3*sqrt(343)))**2.\nAnswer: -512684\/7 + 2864*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79585287*b**2 + 11*b - 1151852 wrt b.\nAnswer: 159170574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltmopulllll. What is prob of sequence tum?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 5*h - 40. Let s(t) = -t**2 - t - 10. Calculate 2*j(d) - 9*s(d).\nAnswer: d**2 - d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.00186 + 405.80186. Let d = -406 + a. What is the closest to 0 in 2, 0.8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by 2\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 211400 + 4?\nAnswer: 211404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.56, -2\/7, -1\/5 in descending order.\nAnswer: 0, -1\/5, -2\/7, -0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/12 - a**3\/6 - a**2\/2 - 6*a. Determine r(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1889 times 308\nAnswer: 581812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8176131 is divided by 56.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggssgwssgwgsgww. Give prob of picking 1 s, 1 w, and 1 g.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)\/(6\/(-108)). Is l less than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1.07. Let f = 127.33 + -129. Let z = f - d. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 408.032 and 1.\nAnswer: 409.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)*-1)\/sqrt(11))\/(sqrt(72)\/(sqrt(9)*-2)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 673 + -795. Let y = -118 - j. Solve -y*x + 15 + 14 = 5*r, r + 5*x = 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*p + 9376 + 3516, 2*t + 2*p - 5168 = 0. Suppose 0 = -4*o + 4*n + t, 5*n - 284 = -o + 349. List the prime factors of o.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.0133?\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) -332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -11) + 7 + -35 + -20\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 35*i\/3.\nAnswer: i*(i - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 668633\/44 - 15197. Let o = 6\/11 + n. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -332 less than -332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 41.1. Let x = -784 - -785.6. Let r = x - v. What is the third smallest value in -3\/8, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {y: 2, x: 16}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2505, 5014, 7521, 10026, 12529, 15030, 17529?\nAnswer: 20026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15919785 divided by -105.\nAnswer: 151617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 51. Suppose -4*p + 24 = 3*i + i, 5*i - 3*p = u. Find the third derivative of 3*w**3 + i*w**2 + 0*w**3 - 12*w**3 wrt w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47807838 divided by -15935946?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 84 = -5*t. Suppose -3 = -4*q - 3*j + 25, -j = -2*q + 14. What is the highest common factor of q and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + g + 23. Calculate v(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 726413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 7, -44, -768 in descending order.\nAnswer: 38, 7, -44, -768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 57.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from -39341571.\nAnswer: -39341570.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1752336 and 79206.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 4. Suppose 3*n + 3 = 4*n. What is the least common multiple of r\/n - (-44)\/6 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (514 + 235 + 458 - 366)*(0*d**3 + 9*d**3 + 0*d**3) to the form c*d + q*d**3 + i + r*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 4*v**3 + 3*v**3 + (0*v**3 - v**3 - v**3 + (2*v + 3*v - 4*v)*(-4*v**2 + 3*v**2 - v**2))*(-5 - 24 - 118).\nAnswer: 590*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/1 + 9 + -11. Suppose -i*d + 11*d + 5 = 0. Let x = -5 - -5.5. Which is the smallest value? (a) d (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 815, -1, 30 in descending order.\nAnswer: 815, 30, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13063*4\nAnswer: 52252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 12*g**2 + 7*g + 2477. Let c(n) = 8*n**3 - 50*n**2 + 29*n + 9910. Determine -25*b(r) + 6*c(r).\nAnswer: -2*r**3 - r - 2465","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + (-4*(sqrt(272) + 0 + sqrt(272)))**2.\nAnswer: 4*sqrt(17) + 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 - 2*m**2 + 5*m + 1 - m + 3*m**3. Let l(n) = 4*n**3 + 4*n + 5. Let b be l(-1). What is f(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/4)\/(11\/110))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + -2 + (-316)\/(-16). Let n = -32 - -68. Calculate the greatest common divisor of n and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 3:42 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21121 (base 6) to base 14.\nAnswer: -1081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37873757327 + 1047360885567913\/27654. Let d = -3\/4609 - o. Find the common denominator of (-5)\/(-1) - 1028\/208 and d.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 322 = -4*m, m - o + 71363 = 4*m + 71571 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9471257 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -4\/3*d**3 - 30*d + 0 - 8\/7*d**2 - 5\/7*d**4 - 9\/70*d**5. Let z(l) = 0. What is l?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -9024.08\nAnswer: -541.4448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(-3 + (-161)\/(-56)). What is the closest to 4 in 2\/3, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9*-3 - -13. Let b = y - 0. Suppose -10 = -3*q + b. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430 is divided by 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -13, 0, 22.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**4 - 355*m**3 - 8515*m**2 - 71645*m - 63480 = 0.\nAnswer: -24, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.4 - 3. Let d = 79 + -949\/12. What is the nearest to -2\/9 in 2\/9, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13447 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4565291 millennia in centuries?\nAnswer: 4.565291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 31 = -q, 10*q - 8*q = 5*a - 13. What is the closest to -0.1 in -2\/53, -2\/9, a?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 3. Let u = 72 + -66. Suppose 4*f = i + 16, -5*f + 2*f = 2*i - 1. Let y(r) = u*r + r - f - 10*r. Determine -4*g(h) + 5*y(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149662697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 18635 - 130446\/7. Which is the nearest to 105? (a) v (b) -2 (c) 4\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(48*(-13)\/78).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.21706? (a) -3 (b) 0 (c) -1\/2 (d) -4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55052376 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5246013 and 130152.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -3*s - 456. Round s to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62717923 to the nearest integer?\nAnswer: 7919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or -157?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2002 (base 3) to base 10\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 451, -1, 6, -56, 0, 81.\nAnswer: -56, -1, 0, 6, 81, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -2*m**7\/189 - 13*m**6\/135 - m**5\/10 + 20*m**4\/27 - 16*m**3\/27 + 625*m. Determine y, given that c(y) = 0.\nAnswer: -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 2. Let v be ((-2)\/(-2))\/((-1)\/(-2)). Let s be b(v). What is the remainder when 32 is divided by (1 - s)\/(2\/34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -16) + 2 + -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 978182942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 532, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 814539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -471 + 471 - 75*l - 2*l + 2*l + 2*l + (-l + 1 - 1)*(-6 + 2 + 2).\nAnswer: -71*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v*v*v**0*v*v))*v)**(-8\/7))**(2\/5)\/((v\/v**(1\/4))**29\/((v\/(v\/v**2*v))\/v)**(2\/3)) assuming v is positive.\nAnswer: v**(-3301\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 147*h + 25. Let w be q(3). List the prime factors of w + 3*(-35)\/21.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -4. Suppose -14*y - 90 = -5*y. Let f be (-6)\/i*y\/4. Let o(x) = x**3 + 2*x**2 - 4*x. Determine o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + 51\/15. What is i in -v*i**3 + 37 - 37 + 3*i = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43440 divided by 1?\nAnswer: -43440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6075600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/16 (b) 4 (c) 1 (d) 0.123514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcq when three letters picked without replacement from qycwcyxxqxqcrrxcr?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-9 + 12 + (13 - 8)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*u = 7, 12*y + 5*u - 7 = 11*y. Suppose 4*c = y*d + 26, 20 = -2*d - 2*d. Factor -2\/13*w + 4\/13*w**2 - 4\/13*w**c + 0*w**3 + 2\/13*w**5 + 0.\nAnswer: 2*w*(w - 1)**3*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89706280?\nAnswer: 2, 5, 17, 29, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6353 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: Calculate -1 + 2 + 0 - (-10 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 10*t**2 + 7*t - 13. Let h = 14 - 23. Let q be p(h). Suppose -4*n = n - q. Is 2\/9 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -9. Which is bigger: l or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b**3 + b + (-4 + 0 + 6)*(-4*b**3 + 2*b**3 - 2*b**3) - 4*b**3 - 13*b**2 + 13*b**2 - 3*b**3 + 0*b**3 + 2*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -211*s**7\/210 - s**5\/15 + s**3\/2 - 204*s**2. Find the third derivative of z(y) wrt y.\nAnswer: -5064*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34422, 137752, 309976, 551100, 861130, 1240072?\n\"Answer: j**3 + 34441*j**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4171398980 rounded to the nearest one million?\nAnswer: -4171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b1 (base 13) to base 14\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - -0.77. Let o = q + -4.6. Which is the second biggest value? (a) o (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 6. Let b be p(4). Let r = 14 + b. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -v + 163, -8*f = 6*v - 5*f - 924. Solve -10*x + v = 113 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/22 and -7\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143608 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -153, -211, -223, -189?\n\"Answer: 23*q**2 - 127*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 0*m**2 - 79*m**3 + 78*m**3 - 2*m to the form b*m + j*m**2 + f*m**3 + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.66 - 1.56. Let u = 329\/30 + -61\/6. Which is the third smallest value? (a) 3 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 7*z + 8. Let i(h) = h**2 + 9*h + 4. Let m(k) = -2*k**2 - 17*k - 8. Let a(p) = 11*i(p) + 6*m(p). Let w(c) = -5*a(c) - 3*o(c). What is w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**3 + 3*u**3 - u**3)*(-24877 - 29362 + 42638) in the form l*u**3 + x*u**2 + y*u + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 580*o + 9854. Determine a(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 13*c + 50 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 284622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*x**5 + 6111*x**4 - 284*x**3 - 5*x**2 + 51243554*x?\nAnswer: 720*x**2 + 146664*x - 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + 1) - 3 - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 140.34\nAnswer: -280.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 399986452 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 96258.\nAnswer: 385032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -118. Is 74\/2*(100 + (-3 - n)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 3*k. Let u be m(-2). Let t = -7 - u. Is (-7190)\/(-25) + 3\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-173 - 32925508\/(-190800)) + 4\/21*14\/6\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1\/8, 1\/6, -0.4 in increasing order.\nAnswer: -4, -0.4, 1\/8, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 365 and 74220.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81337243 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4760*n**2 - 119. Let i(m) = -560*m**2 + 14. Let v(d) = 5*b(d) + 42*i(d). Is v(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926737747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 53?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 16*a - 3. Let l be c(5). Solve 12 = -4*q - 0*q, -l*q = 3*j + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*u + 165*u = -160*u + 2414. Calculate the remainder when 701 is divided by u.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let v be j(-5). Let a(f) = f**3 - 5*f**2 - 2*f + 1. Determine a(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 6 - 1)*(0 + 1 + 1)*(-2 + 0 + 4)*(-3 - z**2 + 3) - z**2 + 3*z**2 + 9*z**2 to the form r*z**2 + b + u*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 671956 and 3596?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2941*q**2 + 1 - 5877*q**2 + 10*q + 2950*q**2)*(5*q**3 - q**3 - 5*q**3).\nAnswer: -14*q**5 - 10*q**4 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, 4, -0.2 in descending order.\nAnswer: 4, 0, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102*90\/1575*35*1\/(-3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m**2 - m + m)*(-2*m + 2*m - 2*m) - m**3 + 5*m**3 + 3*m**3)*(-364*m + 180*m + 1049 + 186*m).\nAnswer: 6*m**4 + 3147*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 9*x - x. Let r(z) = -15*z - 4076. Let f(k) = -1019. Let s(a) = 4*f(a) - r(a). Calculate s(l(g)).\nAnswer: -195*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0*h**2 - 8\/9*h**3 + 0*h**4 + 4\/9*h + 0 + 4\/9*h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eteezeteetze. Give prob of sequence et.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -5810 = -5820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.7. Let h = -1.63 + 1.23. Put h, s, 0.4 in descending order.\nAnswer: 0.4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1520 + -10615\/7. Find the common denominator of s and (-402)\/8 + (-2)\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20738 and 8534.\nAnswer: 88489046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-4) + 1)\/(21\/(-140)). Solve -4*o + 1 = -d - 3, o = -2*d + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 15*o - 6. What is the least common multiple of g(2) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -75160?\nAnswer: -75156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 + 2*w**2 + (-2 + 5 - 4)*(-4*w**2 + w**2 + 2*w**2) - 2*w**2 + 12*w**2 - 20*w - 9*w**2.\nAnswer: 4*w**2 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*q, 0 = k - 3*q + 15 - 3. Let o(z) = -z**2 - 5*z - 3. What is the remainder when (35\/(-5))\/((-2)\/2) is divided by o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 5*y - 5. Let t(i) = 3*i**3 - 6*i + 6. Let h = 283 - 429. Let r = -151 - h. Give r*t(d) - 6*b(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/4 - a**3\/3 + a**2\/2 + 16*a. Let q(t) = 7*t**2 + 3*t - 2. Let d(j) = 10*k(j) + 6*q(j). Is 10 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j + 6712*j**2 + 45*j - 27*j to z*j + s + o*j**2 and give o.\nAnswer: 6712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 657, -6, 4, 1065 in increasing order.\nAnswer: -6, -5, 4, 657, 1065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(136)\/sqrt(8) + (-6*sqrt(1377))**2.\nAnswer: -sqrt(17) + 49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, x: 3}. What is prob of sequence xxxv?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283*r + 287*r - 6 - 572*r - 89*r**3 to u*r + c + s*r**3 + y*r**2 and give s.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -542 + 562. What is the smallest common multiple of n and 62?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 7*n + 4. Let y(m) = -2*m**2 + 2*m. Let z be y(2). Let o be a(z). Does 3 divide (o\/15)\/((-1)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**3 - 39455*z**2 - 1088658*z wrt z?\nAnswer: 18*z - 78910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 80*q**2 - 13*q - 12. Give o(-1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) -6\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 879 = 657. Let n = u + -322. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4996 - -27923. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 + -360c9e?\nAnswer: -360ce6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q + 2. Is 8 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247757641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42320 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*x + 2*x**3 - 3*x + (-x + 0 + 0)*(2*x**2 - x**2 - 3*x**2).\nAnswer: 4*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + 513. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i. Let b(o) = 12*o**2 + 10*o. Determine b(a) - 10*j(a).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101886.\nAnswer: 2, 3, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/57 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6028 - 0.0092. Let z = 0.612 + u. Sort z, 8, -0.3 in ascending order.\nAnswer: -0.3, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -540, -554, -570, -582, -584, -570?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-30)*0)\/((-3)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18004804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 20 = -d + 5*x, 0 = -2*d + 4*x + 16. Suppose d = -9*w + 92 + 133. Solve -6*t = -t - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 128491108*f\/7 + 128491110\/7.\nAnswer: -2*(f - 64245555)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from paagggiggghsgg. What is prob of sequence phig?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 m when four letters picked without replacement from {m: 5, k: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 212049.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 26 + 4. Let q be 1\/(-1*2\/y). Suppose -5*o + q = -15. Solve o = -3*d, 5*p + 5 = 4*d + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/11 - 36670*p\/11 + 2702628\/11 = 0. What is p?\nAnswer: 74, 18261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/8)\/((17\/12)\/17)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1177000 to the nearest ten thousand.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.57 and 20325.\nAnswer: 20333.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 35*u**3 + u**2 + 2*u - 2. Suppose -155*l = -163*l + 8. Determine n(l).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nat when three letters picked without replacement from tnbta.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 7*u**2 + 5. Let r = -14 - -7. Calculate m(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3544, 7391, 11238, 15085?\nAnswer: 18932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t. Let y(s) = -s - 10. Let c be y(-9). Let k(o) = -3*o + 2*o - 4*o - 3*o**2. Let n(j) = -j**2 - j. Let m(q) = c*k(q) + 5*n(q). What is g(m(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38003 + 38025. Solve -252 = -j*u - 20*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64451417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**2 + 386*x**4 - 8*x**2 - 2*x**3 - 1 + 2 + 487*x**4 as w*x + k*x**3 + a*x**4 + i + y*x**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 18. Solve 3*b - 2 = h*u - 18, -2*b - 8 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 11*k**2 + 18*k + 15. Determine a(-12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let s(j) = -6*j. Let a(c) = 4*m(c) - s(c). Let b(y) = 20*y. Let f(w) = w. Let z(x) = b(x) - 25*f(x). Determine a(z(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-1) - (-2 + 6). Suppose 2*f - 7 = -p + d*f, -5 = -p + 4*f. Is p <= 23\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 - w**2 - 2*w**2)*(15*w + 18*w - 11*w) as t*w**2 + o*w + d*w**3 + c and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02 + -307.15.\nAnswer: -308.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.23 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/29 and 63\/(-268) - (946\/88 + -11)?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30220411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.114 (b) -1726 (c) 3 (d) -1\/3 (e) -3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 17, x: 1}. Give prob of sequence nn.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/3)\/q**(1\/3)*q**6\/q*((q\/q**7)\/q)\/q*(((q*q\/(q*q**(3\/7))*q)\/q)\/q*q*q**(2\/3))\/((q**0*q)\/q)**(7\/2) assuming q is positive.\nAnswer: q**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**4 - 20*z**3 + 8*z**2 + 32*z = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 8*x**2 - 5. Let o be f(8). Let i(h) = 3*h**3 + 14*h**2 - 6*h + 1. Let d be i(o). Let r(m) = -m**3 + 6*m**2 - m + 8. What is r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*p = 30, -3*p - 34 + 16 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8107537*h + 37 + 8107536*h + 32.\nAnswer: -h + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -2437*f**4\/2 + 5356*f**3\/3 - 1607. Find the third derivative of a(j) wrt j.\nAnswer: -29244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/90*-6 - -3)\/((-4)\/3). Let y be (3\/6)\/(1\/2). Which is the closest to g? (a) y (b) 5\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - -50. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8744923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/5)\/((-1)\/4). Let y be 315\/(-252) + 19\/12. What is the nearest to b in y, -0.3, -2\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 44888 = -4*q, -3*p - 4589 - 17837 = -2*q. Suppose 28136 = 5*o - q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38967 and 150.\nAnswer: 1948350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 17\/23914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1031 + 1030.961. Let f = 0.038 - 0.09. Let i = f - k. What is i rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ccncckhrdckrr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - n + 3. Let b = -6 + 6. Let g be f(b). Let x be (112\/(-196) + (-39)\/(-7))\/1. Sort x, -3, g in ascending order.\nAnswer: -3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 - 140*o**2 - 1280*o - 3840 = 0. Calculate o.\nAnswer: -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmxfxsszzstz. What is prob of sequence zz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26328 smaller than 26325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, m: 1, e: 2, r: 3, j: 1, h: 1}. What is prob of picking 1 m, 1 q, and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 325.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-6*sqrt(1700)*-5*4)**2 + (-3 + -1*sqrt(1700) - (sqrt(1700) - (2*sqrt(1700) + -4)))).\nAnswer: -24479993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -m, 11 - 3 = -4*m - 4*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42932891 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(120))\/sqrt(4) - sqrt(30) - (1*sqrt(210))\/sqrt(7))\/(3*sqrt(80)\/(sqrt(72)\/(sqrt(9)*1))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)\/z)**(-6\/13)*(z*z\/z**(2\/45))**24 assuming z is positive.\nAnswer: z**(64514\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p**(1\/9)*p)\/(p**(2\/9))**(1\/13) assuming p is positive.\nAnswer: p**(154\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*n = 54, 27*a - 86 = 33*a - 4*n for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0.02. Let b be 247\/468 - (-3)\/(-4). What is the closest to -1\/4 in h, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 3 + u**3 + 2*u - 2*u - 3*u**2. Let p be n(2). Let l = -99 - -393\/4. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(500) - (sqrt(500) + 2))*-3)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 155 = -13. What is the greatest common factor of 152 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1513\/(-8 + (-102)\/(-12)). Suppose -54*k + 71*k - r = 0. What are the prime factors of k?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t = -6*t + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/17100 and -59\/2?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*v - 2*v + v)*(2 + 1 - 2 + (0 + 2 - 1)*(-4 + 1 + 1) + 10 - 10 - 2 + 0 - 18 + 3) as m*v + y and give m.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67b57a2c + -5?\nAnswer: -67b57a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241442 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {c: 4, d: 1, v: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2437 and 366.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88 and -30.\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650547714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22932 - 7543. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 9099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*x + 35519 = -13865, -3*o + 5*x = -37038. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 391160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-5)*0)\/(-1). Solve 2*i - 6 = -q*d + 4*d, -2*d + 2*i - 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**31*(h**(-4))**(-3\/5) assuming h is positive.\nAnswer: h**(-763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-4))\/(1\/8). Let t = 12756 + -12616. Calculate the greatest common divisor of t and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (63 - 118) + -52\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-14)\/(-6). Suppose -3*z - n + 412 = -3*n, -m*n = 2*z - 268. Suppose 5*h - 4*w - 177 = -w, z = 4*h - w. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.358624*-6\nAnswer: 2.151744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6302.943t in micrograms?\nAnswer: 6302943000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 120330\/69919?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 496857 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (0 - -5)) + -2 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 + -0.1. Suppose 169*v - 362 = -1038. Which is the nearest to 1\/3? (a) f (b) 5\/7 (c) v (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392710496?\nAnswer: 2, 53, 231551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and (105\/(-12))\/((-13)\/(-26))*-2.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -4146533\/37261 - 12\/5323. Let r = 111 + q. Which is the closest to r? (a) 0.1 (b) -2\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**4 + 3*h**4 - 2*h**4)*(-1 + 0 + 2) - 2*h**2 - h**4 + 2*h**2 - 5*h**4 - h**3 + h**3 as b*h**4 + g*h + w*h**2 + m + l*h**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttyttpfspy. Give prob of sequence st.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 + -4. Let r = -10.01 - -10. Let t = r - 3.99. What is the smallest value in k, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13820000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w*w**(-19)))\/w)\/((w*w**(-5))\/w) assuming w is positive.\nAnswer: w**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 3)*3*-1. Let f be 708\/16 + l\/12. What is the units digit of f - (-2 - -1)\/(2\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -15. Suppose 10*l = -0*l + 24700. Suppose -l = -6*i - 7*i. Calculate the highest common divisor of i and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/496 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:46 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 32*k - 68. Let u be s(34). What is the closest to 1 in -3\/5, 8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {s: 1, f: 2, t: 1, v: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + u**2 + 0*u**2 - u**2 + 0*u + 0*u + 0*u**2 + 0*u**2 + u**2 + (u + 0*u - 3*u)*(5*u - 2*u - u) - 9 + 5*u**2 + 9)*(-898*u - 80 + 19 + 61).\nAnswer: 898*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p + 2*p)*(44 + 10*p - 44).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.277 (b) 19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c6 + -5?\nAnswer: 1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (240\/(-27))\/(-5) + (-2)\/(-9). Suppose f = 2*o + o - 13, o - 11 = w*f. Let g be (1 + (-34)\/6)*2\/f. Which is smaller: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90059*h + 191127 wrt h?\nAnswer: 90059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -670 - -414. Let k = v + 256.00000123. What is k rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.2, -4, -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1056*y**3 - 10*y**2 + 6*y - 52. Let o(c) = -1056*c**3 - 8*c**2 + 6*c - 53. Let p(z) = -4*b(z) + 5*o(z). Find the second derivative of p(q) wrt q.\nAnswer: -6336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -347*n + 216*n + 134*n + 32 as z + p*n and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14796846 and 240012?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 52 = -3*r, -3*h + 60 = 22*r - 19*r. Solve -4*k + v = -15 + 11, 3*k - 4*v = r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyq when three letters picked without replacement from qiiiiyiib?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*1.09.\nAnswer: -95.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 * -2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7754628 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9040?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = -3*g, 11*h = 12*h - 3*g. Suppose -2*y + 179 = -5*s, 3*y + h*s - 243 = 5*s. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*a - 23, -w + 29 = 4*a - 0*a. Calculate the remainder when 63 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 992320 divided by 112\nAnswer: 8860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1 = 3*y, 4*x = -0*y - 3*y - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Which is the nearest to 0? (a) -2\/3 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = n - 4*n + 123, r + 91 = 2*n. Let m = 23 - n. Let y = m + 34. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3721 divided by 169\nAnswer: -3721\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**6\/33 - r**4\/2 - 12*r**3\/11 - 8*r**2\/11 - 464. Determine t so that w(t) = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7534*d**4 - 4349*d**2 - 167769518 wrt d?\nAnswer: 30136*d**3 - 8698*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - ((-10 - -1) + (41 - 31))) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115986 is divided by 115980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from dudddussudus.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 2\/9, -0.17, 6\/1591?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 - 2.0977765. What is w rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128703?\nAnswer: 3, 42901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -54*z + 45*z + 22, z = 4*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1)**2 + (0 + sqrt(3)*-1)**2.\nAnswer: 18*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 divided by 286?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329642475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 17 + 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1, 0 = -i + y + 3*y - 2. Sort i, -2, 9 in descending order.\nAnswer: 9, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raacu. Give prob of sequence cr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/4)\/(-45)*-3*(-110)\/165.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -0.04, -3 in decreasing order.\nAnswer: -0.04, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 38*r**2 - 3*r - 3. Is n(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-18))\/((-2)\/((-23)\/((-23)\/18)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2. Let c be 4*15\/20 + 1. Let r be l(c). Calculate the greatest common divisor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l - 3. Let j be ((1 + -2)*2)\/((-14)\/(-14)). Let v(k) = -61*k - 16. What is j*v(f) + 11*z(f)?\nAnswer: -10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7285 + -1.7285. Is 546.7 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1.4081.\nAnswer: -1.5919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.3 rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 298 (c) 101\/5 (d) -3\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:53 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(1 - 15\/3) - 3. Suppose -2*s + 6*s - 84 = 0. Let n be 35\/10 + (4 - (-25)\/(-10)). Solve 0 = a - n*u - s, -t*a + 5*u - 7 = -32 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -32. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -7 - -6) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1589858 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.37073 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2250 and 3426.\nAnswer: 1284750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 3*g - 17, -1 = -u - g. Suppose 19 = 5*s - 41. Suppose -s = -u*b + b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100581 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/24 + q**3\/6 + 2*q**2 - 52*q - 34. Let t(a) = 48. Give -48*s(g) + t(g).\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 8*j + 10. Let w be f(6). Which is the smallest value? (a) 1\/2 (b) -24\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2062704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*f - 80. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32110, -64136, -96158, -128176, -160190, -192200, -224206?\n\"Answer: 2*g**2 - 32032*g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/181643 and -16\/35.\nAnswer: 908215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6102 and -4.92.\nAnswer: -3.002184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r - 1. Let k(p) be the third derivative of -p**5\/60 - 13*p**4\/24 - 23*p**3\/6 + 80*p**2 - 2. Let s be k(-11). Give x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -72 (b) -3 (c) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -378 and 33836273.506.\nAnswer: 33835895.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3470173, 3470172, 3470169, 3470164, 3470157?\n\"Answer: -j**2 + 2*j + 3470172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 890, 24, 2, -5 in increasing order.\nAnswer: -5, 2, 24, 890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p**3 + 53*p**2 + 58*p + 11. What is h(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + sqrt(85)*-2 - sqrt(85))*3)\/sqrt(5))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 21. Determine o(19).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/18 and -32\/399?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13028\/(-392) - 6) + -4. Let f be 164\/(-490) - (-4)\/(-10). Let w = g - f. Calculate the common denominator of w and -33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((-1 + sqrt(68))*-4)**2 - 4*(sqrt(68) + 1 - sqrt(68) - sqrt(68))) + (sqrt(68) + -3 + -1*sqrt(68) - (-1 + sqrt(68))*-1)**2).\nAnswer: -3552 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x**3\/11 + 82*x**2\/11 + 54*x\/11 + 8\/11 = 0.\nAnswer: -1\/3, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = 4*u, 4*u + 3*r - 12 = -u. Suppose s - 3 + 0 = u. Suppose s*m - 4*m = -91. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14 - m**3 + 100*m**2 - 13 - 99*m**2. Suppose 5 = 2*x + 3. What is h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwwi when four letters picked without replacement from {i: 3, w: 3, s: 2, d: 9}?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/9 - 56*q**3\/9 - 262*q**2\/9 + 1856*q\/9 - 512\/3 = 0. What is q?\nAnswer: -16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-6\/17))\/p)\/p)\/p**(19\/2))\/(p**(-12)*(p*p*p*p\/(p\/(p**(2\/7)\/p)))\/p) assuming p is positive.\nAnswer: p**(-33\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (958 - 958 + 33*v)*(2*v**3 + 0*v**3 + 0*v**3).\nAnswer: 66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1, 1.189, 0.4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-8 - (-4 - -4)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -41. Let r = 18.55 + t. Let i = 1.45063 + r. What is i rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -328 - -463. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 132315?\nAnswer: 132309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906 take away 99844?\nAnswer: -97938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9cab0 + -b8?\nAnswer: 9c9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(3*i - i - 4*i) + (5 - 4 + 1)*(-2*i - 2 + 2).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhxhh. Give prob of picking 2 h and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2301704463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9))**(-19) assuming t is positive.\nAnswer: t**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -192*j + 96*j + 92*j - 14. Calculate the remainder when 2\/(-3)*(-15 - 0) is divided by x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281380 by -14069.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (45 + -62 + 47)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 42*k**2 + k + 46. Let f be s(-42). Let p(u) be the second derivative of u**3\/6 - 5*u**2\/2 + u. Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (822 - (-255 - -977)) + (1 - 14) + -1 + 1\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686345.\nAnswer: 3, 5, 19, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, 72, 208, 352, 510, 688, 892, 1128?\n\"Answer: b**3 - 5*b**2 + 142*b - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718290240 divided by 33508?\nAnswer: 51280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16924.\nAnswer: 2, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from dhhdxpd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 61.02. Let x = -1.7 - y. Let n = x - -0.759. What is n rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:59 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/51, 0, -0.028 in decreasing order.\nAnswer: 2\/51, 0, -0.028, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -26287967 and -26287967 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 19.883\nAnswer: -20.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 3*l**2 + 8*l. Let i(m) = m**3 + 2*m**2 + 5*m. Suppose -14 = 4*p + 6. Let g = 10 + p. Determine g*o(t) - 8*i(t).\nAnswer: 2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -10211, -3, -1, -160\/11?\nAnswer: -160\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65733 (base 10) in base 11?\nAnswer: -45428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 2. Let k(c) = 14*c + 7. Let n(b) = -11*h(b) - 4*k(b). What is the lowest common multiple of n(-15) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305638 - -5.\nAnswer: -305633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/(-5) - (-16)\/40. Find the second derivative of -3*h + 0*h**5 - h**5 - 2*h**q wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -280\/23, -2, -6 in decreasing order.\nAnswer: 3, -2, -6, -280\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r + 79. Let y(h) = 11*h - 78. Calculate 4*f(w) + 3*y(w).\nAnswer: -3*w + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + m + 2. Let v be w(3). What are the prime factors of (v\/(-8))\/(2\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - -4 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 33 = 7*u. Suppose -k + u*k = 4*k. Solve 3*a - 5*a + 2 = k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*h + 12, 2 = 4*k - h - 6. Let g = 1 + k. What is the first derivative of 0 + g + 0*i**3 - i**3 wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 45 + x + 4*x.\nAnswer: 4*x - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 112545158*f\/15 + 37515052\/5.\nAnswer: 2*(f - 56272578)*(f - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 35*w - 2. What is v(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3 + l + l**2 - 2 + 0*l**2 + 0. Let o be y(0). Is 2 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 h when four letters picked without replacement from {y: 4, i: 7, h: 7}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 87\/(-2))\/((-3)\/(-12)).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/17 + 5178824*z\/17 + 3352527252872\/17 = 0. Calculate z.\nAnswer: -1294706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 9*p**2 + p - 7. Let n be r(9). Let w = 8 - 6. Let j be 2\/4*3*(-20)\/(-6). Solve -v + w = -n*l - 10, -j*l - 4 = 4*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464652944 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1584 divided by -12\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*2)\/((-60)\/(-45)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-10) - (15\/(-75) - 1). What is the nearest to i in 4, -381, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -694.2296393 to two dps.\nAnswer: -694.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 1805*r**4 - 1818870*r**3 + 457924365*r**2 + 144743760*r + 11430720 = 0. What is r?\nAnswer: -3\/19, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 102 = 450. Suppose -2*d + 4*u - g + 302 = 0, -5*d + 2*u + 489 = 0. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let z = 0.05 + -0.08. Let b = -4.03 - z. What is the biggest value in 2, r, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -95. Suppose -5 = -v - 0, 5*c - 5*v + d = 0. Let z(u) = -u - 6. Let x be z(-6). Which is bigger: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -52.261.\nAnswer: -31.3566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p + 14. Let z(o) = -o**2 - 5*o. Let y be z(-5). Let v be m(y). Suppose -4*x + 4*s = -x + v, x - 5*s = -23. Solve x = -f + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 14*q + 0*q - 17.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -40*o**3 - o**2 - 2*o - 1. Is 10 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, 25, 247, 683, 1405, 2485, 3995, 6007?\nAnswer: 8593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1869 and 8.\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + w)*(w**3 - 2*w**3 + 0*w**3) - 8*w**4 - 10*w**4 - 10*w**4.\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3201 and 28\/2619.\nAnswer: 28809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220101101102 + 11?\nAnswer: 220101101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20 - 11) + -1 + -3. Suppose 86 = 3*x + 5*h, -5*x = -j*h - 204 + 34. Calculate the lowest common multiple of 2 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53854 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(sqrt(65) - -1*sqrt(65))*-4)\/(sqrt(25)\/sqrt(5)*6 + sqrt(50)\/sqrt(490)).\nAnswer: -336*sqrt(13)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 1 - 4)\/(-2). Suppose -2*g - 10 + 0*g**2 + 2*g**2 + 10*g + h*g**2 = 0. What is g?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113.279 + 0.279. Let g = 118.1 + l. Let x = -4 + g. What is x rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - 12. Let z(l) = 4*l + 11. Give 3*g(k) + 4*z(k).\nAnswer: k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwfffwfmmfff. What is prob of picking 1 w and 2 f?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*-2*(-2)\/8. Let h(c) = c**2 + 2*c - 2. Does 3 divide h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*b**3 - 5 + 128762*b - 128762*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (24\/30)\/((4352\/(-40))\/16)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 3*f**2 - f + 1. Let c be v(-3). Let x = c + 2. Suppose -2*d + x = d. Solve d*u + 15 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orhpohrc. What is prob of picking 1 r, 1 h, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*k = 689 + 544, 0 = -5*n - 5*k + 6180. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 42 + 42 + g**4 + 0*g + 0*g + (-4 + 2*g**2 + 4)*(g**2 + 0*g**2 - 3*g**2) - g**4 + 3*g**4 - g**4 - 3*g**4 + 0*g**2 + 0*g**2.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*r + 16 = -28, 5*x + r = 32. Let p = x + 45. Suppose -n = 3*n - p. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -179 + 179.1. Let k be (-4)\/(-10) - (-1)\/(-1). Let q = -0.05 + 0.45. What is the second smallest value in k, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:27 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4597 - -4625. What is the lowest common multiple of b and 4204?\nAnswer: 29428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4440 = -3*r, -3*v - 24*r + 20*r = -4437. What are the prime factors of v?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127256 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-21*n**3 + 15 - 15) + (-4*n**2 + n**2 + n**2)*(2*n + 0*n - n) as u*n**2 + x*n**3 + g*n + s and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.121? (a) 2 (b) 0 (c) 1356 (d) 2\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 10. Let b(h) = 1350*h - 1160. Let s(x) = -47*x + 40. Let t(j) = 4*b(j) + 115*s(j). Calculate -9*q(g) - 2*t(g).\nAnswer: g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77694 and -3.25.\nAnswer: -252505.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from qppqqqpppjp?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51291\/22 + -2332. Let x = -115098378639827\/14756 + 7800106986. Let r = 66\/527 - x. What is the common denominator of r and a?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 1, l: 3, n: 1}. Give prob of sequence yn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 + 243243234?\nAnswer: 243242442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.25 - -0.38. Let g = -0.23 + p. What is the closest to -1\/3 in -0.4, 4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 15) to base 2\nAnswer: 10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3736 + 3738. Solve -4*o = -5*h + 37, t*o + 41 = 5*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1131 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 u when four letters picked without replacement from zuuuzuuuqzzuuzuuz?\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21261 or 308.63?\nAnswer: 308.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-112.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.41 - -9.9. Let f = v + 0.11. Let y = -0.4 + f. Which is the third smallest value? (a) 2 (b) -0.08 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2, 5*i + 3208 - 8819 = -4*a. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from noblnknrbrkklnkkk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 i when four letters picked without replacement from dwwdwdwidi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1360, -9, -1 in descending order.\nAnswer: -1, -9, -1360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**5\/12 + 35*i**4\/24 - 37*i**2\/2 + 106*i. Let v(r) be the first derivative of l(r). Factor v(m).\nAnswer: -5*m*(m - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01772 and -0.03.\nAnswer: 0.0005316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t - 60 + 1\/15*t**6 + 7\/2*t**4 - 22\/25*t**5 - 10\/3*t**3 + 0*t**2. Factor s(q).\nAnswer: 2*q**2*(q - 5)**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Suppose 0 = 2*w + 1 + 9. Let z be (-2)\/w + (-207)\/(-45). Suppose 5*j = -5*d, 0 = 5*d - j + 1 + z. Calculate l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtdz. What is prob of picking 1 z and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6092362*u**4 - 2306818*u**2 + 4*u?\nAnswer: 146216688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7896*p + 6238*p + 111086 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**2. Let k(f) = f**2 - 2*f - 68. Let u be k(-6). Let j(o) = -o**2. Calculate u*j(h) + 2*y(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**0*y))**12*y**(-2)*y\/y**(1\/8))\/((y**(-3)*y)\/(y*y*y**(-1\/4)*y)*(y*y**(-2\/7))**(4\/13)) assuming y is positive.\nAnswer: y**(2479\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -50 + 146. Suppose -2*i + n = -2*r - 82, 2*i - r - 110 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3401 or 17008\/5?\nAnswer: 17008\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/(-33))\/(4\/(-6)). Suppose 5*z - 18 = 5*c + 2, -c + 4 = z. What is the greatest common divisor of q and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-25)\/n)\/n**(11\/4))**(-30) assuming n is positive.\nAnswer: n**(1725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 3*m - 10*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(0*u**4 + u**4 + 2*u**4 + (-u**2 - 2*u + 2*u)*(-2*u**2 - u + u)).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1773.3 - -1849.81. Let x = o + -76. Round x to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 - 3*q**2 + q + 4. Suppose 21*c + 2*u = 470, -c + 2*u + 36 = c. What is the remainder when i(4) is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/16*((-3620128)\/94)\/(-83)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 17\/1324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/3 - 316*z**2\/3 - 1221*z - 240.\nAnswer: -(z + 15)*(z + 48)*(5*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 277 - 264. Let r be (130\/s)\/(-2) - (-17 + 1). Let q(a) = a**2 - 10*a - 13. What is q(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 3150\/(-120))*8\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, s: 16}. What is prob of sequence sks?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24808\/11 + -2253. Is 1 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(16)\/sqrt(8) - (sqrt(2) - (sqrt(72)*3 + sqrt(72)))).\nAnswer: -48*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11250 = 128145*l - 127020*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -11 (c) -2 (d) -0.053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287.33 - -287.33. Which is the smallest value? (a) -3\/2564 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06742 + -6.17558. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52.2 (b) 16 (c) -0.4 (d) 511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i = -30*i - 510. What is the highest common factor of i and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*n**4 + 901*n**3 + 3592*n**2 + 3844*n + 384 = 0. What is n?\nAnswer: -96, -2, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5633721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22820*i + 36140 = 21013*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.584763 rounded to 2 dps?\nAnswer: 47.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14837.873 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 33. Is -111*((w - 9) + (1 - -3)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 3*t**2 - 3*t - 7. Let p be f(-2). Let -171 - p*m**3 - 3*m**5 + 171 + 6*m**4 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 13, 20, 27, 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 times 5070\nAnswer: 192.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1800 - -1821. What is the lowest common multiple of w and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23706*l**2 + l + 11245.\nAnswer: 47412*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968)*-1)\/((sqrt(12) + sqrt(588))\/sqrt(3)).\nAnswer: -11*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/11)*t*(t**(2\/7)\/t)\/t)**(-15\/2) assuming t is positive.\nAnswer: t**(-435\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + 201 + -211.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53 * 0.1083706\nAnswer: 5.7436418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 9 + (-1 - 1 + 1)*(-2 - 1 + 1) - 3 + 4 - 4)*(-49*o**5 - 38*o**5 + 32*o**5).\nAnswer: 385*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/7136 and -5\/8028.\nAnswer: 64224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7997?\nAnswer: 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/2))**(-19)*(t\/(t*t\/(t\/(t\/t**(2\/5)))))**(26\/3) assuming t is positive.\nAnswer: t**(-337\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 22907*u. Let z(g) = 145*g. Determine y(z(l)).\nAnswer: 21025*l**2 + 3321515*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484328355 is divided by 1413?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 134*x**2 + 2*x - 16. Let f(c) = -2*c. What is f(p(b))?\nAnswer: -268*b**2 - 4*b + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-13 - 1) + 113 + -23 + -67\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 11*h + 17*h - 38*h + 3*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z**2 + 3*z)*(24 + z**2 - 24 + (-2*z - 4*z + 4*z)*(4 + 4*z - 4)) + (-6 - 9 + 4)*(-3*z**4 + 0*z**4 + 5*z**4).\nAnswer: -29*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 698313574 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/(15\/(-42)). Solve c*y**3 + 0 - 3\/5*y**4 + 0*y**2 - 4\/5*y = 0 for y.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320 - -5?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1. Let k(t) = -6*t**2 - 2*t + 10. What is k(r) + 10*v(r)?\nAnswer: -6*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -7, -118?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31402*n**5 - 4*n**3 + 180028*n**2?\nAnswer: -1884120*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386694*h - 1386793*h = -4158 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*c**5 + 261*c**4 + 23525*c**3\/7 - 43003*c**2\/7 + 27968*c\/7 - 6348\/7 = 0.\nAnswer: -3, 46\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 3\/((-9)\/42). Suppose -s + 3*s - p = -3*h, 14 = 2*h + 4*s. Let q = -21 - -26. Solve q*m = h*w - 0*w, 4*m = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**25*b)\/b*((b*b**(-19))\/b)\/b assuming b is positive.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 2*h**2 - h. Let m be w(0). Let o(y) = y**3 + y**2 + 40. What are the prime factors of o(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = -b + 30, 5*l + 25 = 0. Suppose -2*n = -5*n - 18. Let p(a) = a**3 + 8*a**2 - 2*a - 2. What is the remainder when p(n) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i + 2. What is the remainder when (-27)\/18 - 178\/i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*(-296)\/555?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(99) + (sqrt(11) - (-1*sqrt(11) + sqrt(11)))*-2.\nAnswer: -17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 3, v: 1, q: 2}. Give prob of picking 1 g and 2 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6\/7)\/(z\/z**(-2\/3))*(z**(-1))**36 assuming z is positive.\nAnswer: z**(-809\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*i + 25. Let n be (-2)\/2 + 0 + 41. What is the greatest common factor of i and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -6.5. What is k rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 7 - 9)*(-x**2 - 5 + 5) in the form g*x**2 + q*x + l and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 6422.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15355 - -15361. Sort 2\/5, y, -7\/2.\nAnswer: -7\/2, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*d - 30. Suppose -3*h + 50 = -o, o - 10 = h + d*o. Calculate the remainder when (-289)\/(-5) + (-4)\/(-20) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51252 - 51197 = -3*v - 5*d, -4*v + 12 = -4*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9498 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - p - 20, 4*c + p = -0*p + 29. Suppose -4*n = -c + 3. Let w(v) = 14*v + 1. Let q be w(n). Solve -s + 15 = 3*m, -7*s - 3*m + q = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -3. Let h = -22 + 14. Let k = h + 7. Is k equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**3 + 4*h**2 - 9*h + 5. Let o be 8 + -3 + -2 - (5 - 5). Let r(m) = 4*m**3 + 2*m**2 - 5*m + 3. Suppose 2*y + 10 + 0 = 0. Calculate o*p(j) + y*r(j).\nAnswer: j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n + 127. Let a be -15*6\/(-36)*-4. What is the least common multiple of c(a) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94401?\nAnswer: 3, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.048164?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnnttaantnnaaanna. Give prob of picking 2 n and 1 t.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-11 - 85) - (-13 - (-1 + -3) - 4)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-580)\/(-18) - 4\/18. Suppose 0*x + 2*x = c. Solve 0 = 5*l + x + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 - 9*y + 11. Let m be 2\/8 + (-124)\/(-16). Suppose -m*t = -3*t - 560. Let i be (t\/35)\/((-2)\/(-5)). Give d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1)*(-1)\/(-1). Suppose 2*a + 6 - 10 = b. Suppose 2*q + a*x - 20 = 6, q - 16 = 2*x. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -889*z**5\/10 - 74*z**4\/3 + 2*z**2 + 2036*z. Find the third derivative of b(d) wrt d.\nAnswer: -10668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 445 (base 9) to base 3\nAnswer: 111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 4*i + 0 - 3*i**3 - 1\/2*i**2. What are the prime factors of x(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z - 162. Let m = -7 + 26. What is the remainder when w(26) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 4:53 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710289 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4433052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -4)*(-9)\/(-2). Suppose 7*i - 3*i - 108 = 0. Calculate the greatest common factor of i and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12265 and -26.\nAnswer: -318890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 0*s + 4 - s**2 - 7*s to the form o + x*s + q*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 6, r: 1, c: 3, l: 8}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)*r\/r**(1\/2))\/(r\/(((r*r**0*r)\/r)\/r)*r**(-5\/3)\/r) assuming r is positive.\nAnswer: r**(181\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/13304 and -9\/14873872?\nAnswer: 14873872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 45 = 1287. Let v = -23 - t. Calculate the greatest common factor of v and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 177328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 16) to base 10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (170\/(-340))\/(-2*(-1)\/(-12)). Suppose 4*c = -0*t + 3*t + 51, -4*t = -5*c + 64. Solve -3*g + c = -u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(210)\/(sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5)))\/(-5*sqrt(24)\/sqrt(4)))**2.\nAnswer: -28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6290.\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -18*s**3 + 415*s - 18. Let a(h) = 53*h**3 - 1245*h + 51. Calculate -6*a(b) - 17*y(b).\nAnswer: -12*b**3 + 415*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*w**2 + 297*w**2 + 922*w**3 + 293*w**2 + 108*w**3.\nAnswer: 1030*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**3 - l**2 - 2*l - 1. Let v be x(-1). Suppose -2*t = t - v. Suppose -5*k = -t*k - 18. Calculate the greatest common divisor of k and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -20. Is 1 + 75 + (10 - o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Suppose -s - o = -7, 0*o + a = 3*s - 3*o. Solve -5*i + h = 33 - 9, 36 = -s*i + 5*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 4*g**3 + 10*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeee when four letters picked without replacement from eeae?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9\/r*r**13\/r assuming r is positive.\nAnswer: r**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:02 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 24*c**4 + 2*c**2 - 11*c - 122. Let f(q) = 8*q**4 + q**2 - 4*q - 41. Let x(i) = -11*f(i) + 4*n(i). Find the first derivative of x(w) wrt w.\nAnswer: 32*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m**4 - 2*m**5 - 28*m**2 + 9 + 16*m + 19*m**2 - 14*m**3 - 1 + 11*m**2 = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g - 23*g - 5*n + 180 = 0, n - 76 = 3*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398623845?\nAnswer: 5, 279724769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, u: 10}. Give prob of sequence uyu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4)*x*x**1*x)**14 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2729248 is divided by 750?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 69. Let n be s(16). Suppose 14*t = 17*t. Suppose -b + 4 - 2 = t. Solve -n*f = -2*f + 3*h - 6, -2*h = -b*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253719493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqxxaqxqaqxqxqxa. What is prob of sequence xx?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -689. What are the prime factors of r?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c + c)*(-2*c - 2*c + 2*c)*(-c + 3*c + c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8700 = -4*m + 8748, -u = -2*m + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 8 = 2*m - 2*s, -2*s = 5*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/65 + 204\/(-312))*2\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 11, 1, -13, -31, -53?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 4 = 27*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let v(y) = 3*y + 2. Calculate the least common multiple of v(l) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u + 12 = 64*u + 3*n, -3*n = -4*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - 2) + 8 - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194 or -972\/5?\nAnswer: -972\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 2594, 5809, 10310?\nAnswer: 16097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208 - 1102. Let q = 3861 + g. Suppose 0 = -x - q - 3733. Round x to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*o + 51 = 3*o, -3*t - 2*o = -166. Suppose 4*l = -4*l + t. Solve 3*h - 3 - l = -2*z, -16 = -5*z - 3*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 445*c + 1287*c + 126*c + 957*c to z + d*c and give d.\nAnswer: 2815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 937, 1411, 1851, 2245, 2581?\nAnswer: 2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -14*c**4 + 739924*c**3 - 29363858*c**2 + 20385276*c + 8238672 = 0.\nAnswer: -2\/7, 1, 39, 52812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 + -225. Suppose 0 = n*x + 252 - 602. Calculate the greatest common factor of x and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*d = -2, -4*d + 2 = 5*c - 30. Suppose 0*i = c*i. Suppose i = a - 5*a - 8. Put 0, a, 5 in ascending order.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b + 3. Let f be h(-2). Let r = -9 - f. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j)*(1 - 3 + 3)*(0*j**2 + 0*j**2 - 2*j**3) - 511*j**4 + 221*j**4 - 302*j**4.\nAnswer: -596*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 + 3. Let c be o(4). Let q = c - 2. Suppose 0 = w + q - 23. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -7, -1, 5 in descending order.\nAnswer: 13, 5, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*t - 32 = 0, g - 2*t = -3630 + 3647 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -666, -82, 3\/4, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 0*p**2 + 0*p**2 + 0*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9015380*p**2 + 11619979?\nAnswer: 18030760*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10*w**2 + 4. Let p(n) = 8*n**2 - 3. Let l(t) = 3*i(t) + 4*p(t). Let j(b) = -6*b**2 - 123*b. Determine j(l(f)).\nAnswer: -24*f**4 - 246*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(187)\/(sqrt(88)\/(-1*sqrt(8)) - sqrt(11)).\nAnswer: -sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -107, -283, -541, -881?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 656*m**2 + 727*m + 21272. What is z(-329)?\nAnswer: -1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 673 - 433. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -153. Let o(z) = z**2 + 7*z - 12. Let u be o(-9). What is the third derivative of 11*w**6 - u*w**c + 5*w**6 - 19*w**6 wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16723, -35111, -55171, -76903, -100307, -125383?\nAnswer: -152131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 1, s: 1}. Give prob of sequence csc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - -4) + (-2 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1245 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 24*b - 9591. Determine a(46).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 12*o - 17. Let t(j) = j**2 + 5*j - 5. Let b be t(-5). Put b, o, -4 in decreasing order.\nAnswer: o, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44702 - -67?\nAnswer: 67.44702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 5*r + 107268769 + 3*r**3 - 107268736.\nAnswer: 3*r**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256383904*i**2 - 654147356*i wrt i?\nAnswer: 512767808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286*-3.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-10 + 9) - (4 - (3 + 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/2 - 16*q**2 + 104*q - 192 = 0. Calculate q.\nAnswer: 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3744))\/(3*sqrt(6)\/sqrt(3)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 16*o**2 - 9*o - 29. Is v(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + z + 1. Let p(c) = 2*c**3 - 16*c**2 + 3*c + 11. Let j(a) = 3*i(a) - p(a). Let g be j(12). Let o = g - 578. Round o to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 2*j + 2. Let t be i(4). Suppose -5*h + 8 = 4*r - t, 4*r + 16 = 0. What is the highest common factor of h and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 41, -0.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39955\/2 equal to 19979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (546\/(-364))\/((-9)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 41*c + 120. Let z be 32\/40*2530\/(-88). What is q(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29022 - 56462 + 29086)*(3*w + 2*w - 4*w) to the form t + v*w and give v.\nAnswer: 1646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/84 and 61\/50610?\nAnswer: 101220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375728 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/105192 and -71\/93504.\nAnswer: 841536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 26 = 3*t, -t - t + 3690*s - 3693*s + 50 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -797, -864, -977, -1136, -1341, -1592?\n\"Answer: -23*c**2 + 2*c - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330 (base 5) to base 11.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 17043, 2, -1, -4, -6, 11 in increasing order.\nAnswer: -6, -4, -2, -1, 2, 11, 17043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a + 2. Suppose -4*b - 2*b = -7*b. What is the second biggest value in b, a, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.08467 rounded to 2 decimal places?\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 610\/(-1575) + ((-201)\/(-27) - 7). Let q(s) = -s**2 + 6*s - 4. Let r be q(6). Suppose -5 + 11 = -3*p. Which is the nearest to 1? (a) p (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*c + 26, -3*c + 10 = -2*m - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 12*c**2 + 10*c - 2. List the prime factors of o(-13).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/8*(-20)\/(-14). Suppose -66 = -f - p*f. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 - -41?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7*z + 6*z + 449 = 0, 0 = 5*g - 3*z - 574. Let w = 22 - -7. What is the remainder when g is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-16))\/((-1)\/(-356)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:06 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 678.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 233, 138, 47, -34, -99, -142, -157?\n\"Answer: i**3 - 4*i**2 - 90*i + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 - 24*w - 193. Suppose -99 + 141 = -6*d. What is the units digit of o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-nine fifths of a microsecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/42)\/(30\/(-20)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*18\/(-840))\/(3\/(-175)*21).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -5 + 10 + 10 - 7) + -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2916*c + 17495. Give d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 338*h\/3 + 2832.\nAnswer: -2*(h - 531)*(h + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 831 + -827. Let m(s) be the first derivative of -2 + 4\/5*s**5 - 2*s**2 + 0*s - 4\/3*s**3 + s**a. Determine x, given that m(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*f + 26, 27*c - 9*c - 11*f + 58 = 7*c + 7*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 35 = -2*a - w, -4*w + 20 = 0. Suppose -36*p + 31*p = -a. Solve -c + p = 0, -3*c = 2*u + c - 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 51272370?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 535 + -512. What is the third derivative of -58*u + z*u + 17*u + 234*u**3 + 18*u - 15*u**2 wrt u?\nAnswer: 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Suppose 3*o - 5*o = -4*f + 4, -4*o = -f + 15. Find the common denominator of -73\/8 and (-55)\/14 + f + c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6417*k - 1604*k - 1601*k - 1587*k - 1605*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -63223 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsgdd. Give prob of picking 1 s and 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/((-32)\/(9 + 7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 14) to base 16\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2646*f + 2648*f - 4, 5*q + 5*f = -5. Determine y, given that -46\/13*y + 100\/13 - 2\/13*y**q = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*c - 31\/4*c**2 + 64 + 1\/4*c**3 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*i + 3*c - 2, 3*i + 1 = c. Suppose i = 3*m + 2*m. Suppose 2*l + 3*l = m. Solve l = 5*w - 4*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.25 + 103. Let f = -100.55 - n. Let o = f + 95. Round o to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 49 = -5*r, 0*r = 5*f - r - 35. Let a(d) = 51*d - 43. Let k(n) = 44*n - 38. Let p(i) = 6*a(i) - 7*k(i). What is p(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164392917.\nAnswer: 3, 13, 79, 229, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16728 is divided by 188?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-756)\/891)\/(-28)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f*(f**(1\/9)\/f)\/f*f**(-4)\/(f\/(f*f*f\/(f\/(f**1*f)))))**42 assuming f is positive.\nAnswer: f**(-413\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 27. Let a be z(-8). Let q be (15\/3)\/((-5)\/(-2) - a). Let i(n) = -n**3 - 5*n**2 + 2*n - 33. Is i(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/31, -0.4 in increasing order.\nAnswer: -0.4, -2\/31, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -9. Suppose 0 = -b - y*u + 18, 5*b = -5*u + 94 - 34. Calculate the remainder when 24 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/8)\/(467\/9340).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168165155 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 18, -4, 9, 8 in descending order.\nAnswer: 18, 9, 8, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 + 0.6. What is the closest to -2\/3 in -0.5, u, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 - 6*d**2 - 9. Let z(g) = -7*g**3 + 11*g**2 - g + 14. Give 5*p(s) + 3*z(s).\nAnswer: -s**3 + 3*s**2 - 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 727 + 721. Suppose -f - 4*f + 2*b = -l, -3*f + 5*b - 14 = 0. Solve -f*t - 10 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9392, -37529, -84416, -150053, -234440, -337577?\nAnswer: -459464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-945)\/10*(-8)\/6. Suppose 5*y - 29 = -4*r, -y - 2*y = r - 16. Suppose 15 = y*w - 75. What is the greatest common factor of z and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, -158\/3, 1\/3 in ascending order.\nAnswer: -158\/3, -5, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 2, s: 3}. Give prob of picking 3 p and 1 y.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.12, 266, 4, 0.3, 0.043?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:46 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -1)*((-1021165)\/(-15))\/((-20)\/(-60)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/6 (b) 2\/3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 4, c: 1, n: 1, s: 1}. Give prob of sequence cbs.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44403351?\nAnswer: 3, 14801117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*b - 425 = 0, -5*w + 2*b = -356 - 79. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 94?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3626\/98*(6\/(-2))\/((-60)\/(-20))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*j - 5*y + 125 = -11*j - j, 3*y - 125 = 13*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 38*m. Let z be 36\/(-54) - 346\/(-6). Let f(x) = -31 - x + z - 26. Give a(f(q)).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*g - h, g - 3 = h + 3. Suppose u = 3*m + 167 + 153, 0 = -2*u + g*m + 635. What are the prime factors of u?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1.6. Let l = 0.6 - k. Let n = l + -0.12. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 i when three letters picked without replacement from qiiqqqqbqqiiiiiqbbq?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 4*t + 4, 2*t - 2 = 0. Suppose y*s + 5*s = 10. Suppose -a + s*x = 0, -3*x + 0*x - 10 = -4*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3482420959 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 46*t**2 - 118*t - 48.\nAnswer: -2*(t + 3)*(t + 8)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*t**3 - 2354*t**2 - 55601*t - 8836.\nAnswer: -(t + 47)**2*(25*t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0311824 to 2 decimal places.\nAnswer: -8.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - u. Suppose -3*c + 6 + 255 = b, u = -3*b - 9. Let j = c - 18. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 24. Suppose 0 = -11*d + 1 + 32. Let o(p) = 14*p - 2. Let g be o(d). Solve m + 4*m = 5*x - g, -8 = -i*x - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*f**2 + 3*f**2 + 0*f**2)*(2*f + 0 + 0) - f**3 - 3*f**3 + 5*f**3 - 4 + 2*f**3 + 4 + 3*f**3 - 6*f**3 + 0*f**3)*(f + 3*f - 2*f).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*x - 24506 = -5279 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 + 2071*y**3 - 1111504*y**2 + 40257984*y = 0.\nAnswer: 0, 39, 1016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/21 and -44\/39117.\nAnswer: 273819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610595 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 + 2*v. Let g(u) = -257*u + 87*u + 83*u + 83*u. Determine g(c(f)).\nAnswer: -16*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8.06. Let o = 4.06 + r. Sort 3, -3, o.\nAnswer: -3, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367*-0.3.\nAnswer: 110.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29545 = 5*c - 3*l - 51150, c - 5*l = 16117. What is the greatest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-1*(-2)\/2*3. Let j be (-16884)\/(-162) - (2\/d)\/1. Suppose 0*r + u + j = 5*r, 4*u = -5*r + 109. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -153\/4 and -1303 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 3*t + 6*t + 6*t + t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-209)\/((8\/4)\/(-4)). Let i = x - -928. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 2:08 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8804088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 320388 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 + -95. Solve -5*d + z*y = 30, -2*d + 1 + 0 = y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116985 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:12 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49385 - y + 14*y - 49403 to the form t*y + o and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 26.92319 weeks?\nAnswer: 16283145312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffafafgfffffaffff. What is prob of picking 2 a?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x - 2*x)*(-4*x**3 - 4*x**3 + 5*x**3) + 3*x**4 - 5*x**2 + 4*x**2 + 4*x**4 as n + b*x**3 + d*x**2 + w*x + y*x**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 + -138. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111000101 (base 2) in base 14?\nAnswer: -2593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19\/117434 - -46171987\/126241550. Let q = u - 14\/43. Is 4\/3 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 2. Let j be q(-2). Suppose j*n - 3*n + 21 = 0. Calculate the remainder when 20 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/17 >= -0.03704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84 - 134 - 146 - 7 - 128)*(17*k**2 - 12*k**2 + 12*k**2) to j + y*k + c*k**2 and give c.\nAnswer: -5627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 970 + -45588\/47. Suppose -3*f + 11*f = 2*f. Do i and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 - 1 + 1961*q - 1961*q + 0.\nAnswer: -14*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) 0.08 (d) -6\/7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttkknkkkttvktttk. Give prob of sequence tv.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h - 5. Let b be r(-1). Suppose 3*t = 0, -b*w + 1671 = 3*t + t. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m - 9. Let f(u) = 11 + 4*u - 2 - 3 + 2. Let x(r) = -6*f(r) - 7*n(r). Let a(l) = l + 4. Determine -22*a(t) + 6*x(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 48*t**2 - 85*t - 27. What is y(17)?\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a + 20. Let y(z) = 39*z + 40. Give 5*b(g) - 2*y(g).\nAnswer: 2*g + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170.92 + -175. Let f = -0.08 - z. Let s = -8 + 14. Which is the third smallest value? (a) f (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c**2 - 2*c - 2. Let y = -15 + 18. Give d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 2*a**2 + a - 3. What is i(3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -727, -2072, 1 in ascending order.\nAnswer: -2072, -727, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2418 - 2417.998799. Round f to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, -4, 2, 6, 50 in increasing order.\nAnswer: -4, 2, 5, 6, 17, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691160 rounded to the nearest 10000?\nAnswer: 2690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*w + 48, 6*u - 3*u - w = -46. Let m = -9 - u. Find the third derivative of q**m - 5*q**5 + 3*q**5 - 3*q**2 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.9 + 10.5. Let y = -19\/14 + 6\/7. What is the second smallest value in t, y, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -v + 47, -4*m + 0*v = -v + 93. Let r = -3 - m. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n + 204 = 0. Let a be n\/(-27) + 2\/9. Factor -1\/3*s + 2\/3*s**a + 1\/3*s**5 + 0 - 2\/3*s**2 + 0*s**3.\nAnswer: s*(s - 1)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-890)\/(-10) + -44 + 882\/49.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**4 - 1\/20*d**5 + 2*d - 1\/2*d**2 + 0 + 0*d**3. Differentiate k(l) with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*f**2 + 237*f**2 + 54*f**2 - 7*f**2.\nAnswer: 506*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/((-3)\/(-108)). Let u be 17\/5 - p\/(-40). Solve -8*d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639431 is divided by 2523.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -113. Factor -2*d**v - 5*d**2 + 5*d + 6*d**3 - 35*d + d**3.\nAnswer: 5*d*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(7 - 29776\/4254)?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**3\/3 + 5*c**2\/2 - c + 2. Let r = 43 - 50. Let h be t(r). What is the greatest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(44) - sqrt(176)\/sqrt(4)))*5)**2 - (sqrt(1188)*2 + sqrt(1188))\/((sqrt(15) - -1*sqrt(15))\/sqrt(5)).\nAnswer: -9*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254718569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37 - 2)*-134 - (137 + -138) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 + 138. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 13*m + 214 + 3*m - 3*m - 12*m + 15*m.\nAnswer: m**3 + 16*m + 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 4, -23, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 39034*d + 117560. Determine r(-3).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.077104 plus -7273?\nAnswer: -7276.077104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:34 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/60 - f**5\/15 - 4*f**4\/3 - 2406*f**3 + 10*f**2 + 9*f + 1. Find the first derivative of c(h) wrt h.\nAnswer: 6*h**2 - 8*h - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2225 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 860939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**5 - 3*p**2 + p - 1. Let m(c) = 11*c**5 + 3*c**4 + 24*c**2 - 9*c - 187. Let g(r) = m(r) + 9*s(r). Find the third derivative of g(f) wrt f.\nAnswer: 120*f**2 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, p: 3, m: 4}. What is prob of picking 1 m, 1 p, and 1 k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3142176 and 8272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 - 11*t**2 + 47*t + 10. Determine b(-5).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1001254 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1692, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*x - 51 = f + 789*x + 57, 0 = f - 4*x - 116 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 35 = -x, x = 2*z - 1 + 20. What is the units digit of 104\/39*(-6)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a - 45*a + 6*a + 8*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2540 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87, 2, 91, 180?\n\"Answer: 89*v - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from {p: 13, h: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**3 - 4*p**3 + 3*p**2 + 2*p**4 - 2*p**2 + p + p**2 as h*p**4 + a + t*p + w*p**3 + j*p**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -5. Suppose -5*l - 3*b = 17, 2*l + 2*b - 4*b - 6 = 0. What is the nearest to 1\/3 in l, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/39 (b) 0.1 (c) -1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 3) + 4 + -15 - (5 - 24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45724 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 31*j - 67*j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -12*o**3 + 873. Let k(f) = -27*f. Determine k(v(y)).\nAnswer: 972*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775742 and 181522.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*230.7.\nAnswer: 484.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (29 - 9 - (-2 - 11))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 34 - 2*v - 36 + 2*v**2. Let p(s) = s**3 + 8*s**2 - 8*s + 13. Let g be p(-9). What are the prime factors of b(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4837, -4417, -3279, -1063, 2591, 8043?\nAnswer: 15653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*q**3 + 3966*q**2 - 19028*q - 5760.\nAnswer: 2*(q - 5)*(q + 288)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40ee70 (base 16) to base 2.\nAnswer: -10000001110111001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 45899950?\nAnswer: 45899947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 146, 287, 418, 539, 650?\n\"Answer: -5*h**2 + 156*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*y - 6*y = 710 - 113 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572438.\nAnswer: 2, 193, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/960 - p**5\/160 - p**4\/192 + p**3\/16 - 16*p**2. Determine d so that x(d) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24768200 a multiple of 1475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 3875630.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 679448, 1358951, 2038450, 2717945, 3397436?\n\"Answer: -2*u**2 + 679509*u - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -66, 6\/17, -258, -3, 1?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-21)*-14*472\/(-32). Suppose 2*r = 4*p - 1362, -3*r + 427 = 3*p - l. Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -8*a + 0*a**2 + 0*a**3 + 1\/4*a**5 + 0 - 5\/12*a**4. What is the third derivative of n(f) wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31603 (base 13) to base 15.\nAnswer: 1b517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.2 + 21. Let x = n - 0.8. Let q = 0.8 - 0.3. Which is the closest to 2\/7? (a) q (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64220 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 305340.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1165000 to the nearest ten thousand.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20272622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -131. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7*k*k)\/k**6*((((k\/k**(2\/13))\/k*k)\/k)\/k)\/k*k*k**(-3\/2))\/((k\/(k*k**(1\/4)))**(-11)\/(k**(1\/4)*k\/(k**(-7)\/k))) assuming k is positive.\nAnswer: k**(89\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/((-10925)\/(-25)))\/((-1)\/(-3)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/65 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 41 = 4*o + 3*k, -37 = -5*o - k. Solve -12 - o = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -979478873, -979478874, -979478875, -979478876, -979478877, -979478878?\n\"Answer: -d - 979478872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -129, -514, -1247, -2442, -4213, -6674, -9939?\nAnswer: -14122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-15) + 249\/(-270). Let v = d + 37\/126. Sort -4, v, -1\/5.\nAnswer: -4, v, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 30. Determine k(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - sqrt(170)\/sqrt(5) - sqrt(34))\/sqrt(2) + 4)*-6.\nAnswer: -24 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 6*x**2 - 5*x - 16. Determine t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 6*w**2 + 4*w + 4. Let r be k(2). Solve -2*y + 15 = 5*q, -r*q = -4*y + q + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3\/2)*m)\/m)\/(m**(-3)\/m*m))**(-38) assuming m is positive.\nAnswer: m**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from iviviviiviivi.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t = -33*t - 31. Is t less than or equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*c**5 - 39*c**5 - 12*c**5 + (-5 + 6 + 3)*(2*c**5 - c + c) + 0*c**5 - 5*c**5 + 2*c**5.\nAnswer: -32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 4, -2\/5, 4.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 - -189. Let o = 324 - b. What are the prime factors of o?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 76, -2.\nAnswer: -2, 0, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -146935 less than -0.02384?\nAnswer: 146934.97616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1936 and 25894.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let t be 1230\/80*8\/6. Let i = t + -20. Is s greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 351821\/3, 0, -5\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 6*r**3 - 52*r**2 - 21*r - 58. Let s be l(6). Factor -3\/2*g**s + 9\/2*g**2 - 3*g + 0.\nAnswer: -3*g*(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.26 - -0.26. Let k(l) = l**2 + 6*l - 6. Let d be k(-7). Which is the closest to d? (a) 1 (b) 2\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011107 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 1 + 13. Let u(q) = 37*q**2 + 64*q**d + 4*q - 3 - 5*q + 4. Does 13 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 - 556 = -121*h. Solve 0 = -3*u + 8*u + 3*a - 37, -a = h*u - 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 1 - 2)*(2*r - 7*r + 3*r) - 2*r + r + 0*r)*(3*r**2 + 21*r**2 + 10*r**2) + 3*r**3 - 3*r**3 - r**3 to m*r**2 + g + t*r + z*r**3 and give z.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 20 + 22. Suppose -2*w = -0*w - x. Suppose -7*o + 3*o + 26 = -w*q, 10 = o + q. Solve -6 = 3*s - 0*b + 3*b, -5*s - 4*b = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, -56, 9, 2\/9 in increasing order.\nAnswer: -56, -3, -0.1, 2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121133404 (base 5) in base 12?\nAnswer: -234837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 733 + -733.031. Let o = 3 + -3.5. Which is the fourth biggest value? (a) -3 (b) o (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1303 = 6532. Let m be 14\/((2 - 5982\/2973)\/((-24)\/(-16))). Let c = m - t. Find the common denominator of c and 5\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 1020.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (20 + 3)) + 11 - -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tllttltlttllt. What is prob of sequence ltl?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6444 + 4?\nAnswer: -6440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 11 = -2*k, 0*k + 11 = 5*f + 4*k. Calculate the common denominator of 27\/8 and f\/9 + 2109\/15822.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 229, 363, 501, 643, 789, 939?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -6*k**5 - 56*k**4 - 134*k**3 - 4*k**2 + 80*k = 0.\nAnswer: -5, -4, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - 224\/(-6). Let k be (2 - -2) + (3 - 2)*-2. Suppose 0 = -q + c + 61, k*q + 5*c = -0*q + 94. Calculate the highest common factor of q and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-three fifths of a meter?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 3*r + 3*r)*(-3*r + 3*r - 5*r**2) + (2*r**2 - r + r)*(-6*r**2 + 6*r**2 + 6*r**2).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 2. Calculate d(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**4 + 76*p**3 - 56*p**2.\nAnswer: 4*p**2*(p + 7)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 25*z - 99. Let k = 155969\/12680 - 1\/2536. Find the common denominator of k and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88.5999847 - 88.6. What is h rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0234148 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o + 4. Let d be h(-1). Let s be 20\/(-40) + (-1)\/(-6)*d. Put s, 0.1, -1\/5 in descending order.\nAnswer: 0.1, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59511, -119029, -178545, -238059, -297571?\nAnswer: -357081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/68605 or 1006?\nAnswer: 6\/68605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -7*p**5\/40 - 65*p**4\/24 - 41*p**3\/3 - 26. Let s(g) be the third derivative of y(g). What is the derivative of s(r) wrt r?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -0.2, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -76834\nAnswer: -461004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 294365*x**2 - 2355160*x + 4710480 = 0. What is x?\nAnswer: -58881, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10571 - 10571.0057132. Round w to four decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 155703874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362820, -362857, -362894, -362931?\nAnswer: -362968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192319448?\nAnswer: 2, 4157, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5 - 4*m + 5*m - 2*m. Let o(i) = -6*i**2 - 13*i - 12. Let c be o(-1). What is r(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 33. Give y(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*r**3 + 233*r wrt r?\nAnswer: -1230*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130140 (base 5) in base 15?\nAnswer: -105b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b + 130. Let i be f(13). Sort -5, -2, i.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(-25)\/(-950)*(-11)\/((-220)\/(-48))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y - 27*y - 37*y - 3331 - 2069 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5098919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101, -203, -305, -407?\n\"Answer: -102*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/9 - 12046*q**2\/9 + 186086*q\/3 - 60690 = 0. Calculate q.\nAnswer: -6069, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*c - p = -295*c + 3, -7*c + p = 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -72165, 4, 2 in descending order.\nAnswer: 4, 2, -1, -72165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/30 + (25\/(-15))\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*35\/29400)\/((-4)\/8).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 56 - 16*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w + 84*w + 18654 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*l - 15, -7*l = -6*l - 3. Which is greater: m or -0.36?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 5. Let p be 2385\/(-35) - (-3)\/21. Let l = -52 - p. Let k(x) = -10*x - 26. What is l*h(i) + 3*k(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 15*m + 1. What is i(24)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 2*z + (4*z + 5*z + 4*z)*(-2 + 4 - 1) + 3*z - 3*z + 2*z)*(15 - 4 + 1)*(3*z - z + 0*z).\nAnswer: 408*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/459383985 and -127\/102085330.\nAnswer: 918767970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2041, 4047, 6007, 7921?\nAnswer: 9789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z - 120 = 0. Suppose -g - z = 3*i, g + 0*g - 2*i + 19 = 0. Let f be 0\/(7\/(g\/(-6))). Solve x - 10 = -3*u - f, -14 = -x - 5*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.372 less than 0.256895?\nAnswer: -3.115105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s - 890*s**2 - 5*s - 2*s + 23*s - 4*s to the form j*s**2 + c*s + w and give j.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266151 is divided by 824.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 - 70. What is the units digit of c - 4\/(-1 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2581 and 2225.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11248.1 + -190.109.\nAnswer: 11057.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235920 is divided by 61792?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 1075?\nAnswer: 1075.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-3240)\/(-25))\/(16\/4200*3). Calculate the greatest common factor of 56 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40 - 0)\/2 - -1. Let k(s) = 539*s - 201047. Let z be k(373). Sort z, g, -2 in increasing order.\nAnswer: g, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 9*n**2 + 7*n + 10. Suppose -3*y + 11 = -2*f, 4 = 2*y - 6. Suppose 3*z = 0, -24 = -3*d - 3*z + f*z. Determine g(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 13. Determine k(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -46746+1263.698455\nAnswer: -45482.301545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1289628009*k**3 - 35*k - 3646098?\nAnswer: 7737768054*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.4 (c) 1299 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34967837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w + 14. Let j = 917 - 902. Let i(l) = j*l**2 - 4*l**2 - 10*l**2. Calculate i(y(v)).\nAnswer: 16*v**2 + 112*v + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - 19. Let h = 38.9999951 + p. What is h rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (13 + -21)) + -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + u**3 - 5*u**2 - 5*u**3 + 2 as c*u**3 + p + v*u**2 + s*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(1*sqrt(192) - sqrt(192)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 29 (b) 3 (c) -2 (d) 2\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1620, 4, -5, -3 in descending order.\nAnswer: 4, 2, 1, -3, -5, -1620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 4*n + 3. Suppose -2*u + 2 = -h - 3, 3*u - 6 = 2*h. Let s be r(u). What is the third derivative of 0*d**2 + 2*d**3 - 2*d**2 - d**s wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 - 2*w + 1. Let a(l) = -l**2 + l. Let m(u) = -5*a(u) - c(u). Determine m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 9424934.\nAnswer: -5\/9424934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -0.4.\nAnswer: 19.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 + 22902063.\nAnswer: 22901970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-15) - (-3)\/(-15). Let r(q) = 0*q**2 - 223*q**3 + q**2 - 2 + 3 + b*q. Is r(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 95 = -30*i. Put 37, -3, 0, i in ascending order.\nAnswer: i, -3, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232362, 463660, 694958, 926256, 1157554?\nAnswer: 1388852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 5143?\nAnswer: 31\/5143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 15587*w - 7 + w**2 - 15587*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638918.8l to millilitres.\nAnswer: 638918800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 5*w**2 - 7*w + 3. Is k(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u = 51311 - 54413 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -100.7 * 7.14\nAnswer: -718.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddde when four letters picked without replacement from {e: 6, d: 7, t: 1}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 847 and 115654?\nAnswer: 1272194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 181617 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 6*(3 - 2) - (-2106)\/78.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, 922, 3104, 7354, 14362?\n\"Answer: 115*p**3 - p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:30 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 n when three letters picked without replacement from {n: 1, u: 5, c: 4, r: 5}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 660996*q + 660997. What is a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12955 divided by -7189?\nAnswer: -12955\/7189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001131478586 rounded to 7 decimal places?\nAnswer: -0.0011315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 86 - 14 = 0. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 85, 75, 65, 55?\n\"Answer: -10*h + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -15188?\nAnswer: 15191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2978 + -2109. Suppose 0 = 12*x - m - 31. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.004 + -0.204. What is the nearest to r in 2\/29, -2\/3, -2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4 - 10*y + y**3 - y**2 - 2*y**2 + 5*y**2 + 3*y**2. What is the remainder when (1 - 2)\/((-4)\/212) is divided by k(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/147)\/((-192)\/6*(-87)\/(-2436)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3606123 (base 8) to base 3.\nAnswer: 1212002210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*y + 9*y. Let f(l) = l**2. Let t be f(-2). Solve -1 = 3*z - 2*u, -y*z - t = 5*u + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 1 + 1 - 3*g**3 + (-7*g**2 + 33*g**2 - 12*g**2)*(-4*g - g + 3*g + (-2 - 4 + 5)*(-g + 3*g - 3*g)) in the form c + y*g**2 + h*g + u*g**3 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkk. What is prob of sequence kq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000154327 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3108*y - 10*y**2 - 6*y**2 + 1557*y + 1551*y.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43963 divided by -5?\nAnswer: -43963\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43836438 to the power of 1\/2, to the nearest integer?\nAnswer: 6621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 10 = 3*i, -4*y = 4*i - 20. Let z(g) = -6*g + 1. Let l(o) = -3*o + 1. Calculate y*l(j) - 3*z(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -63?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-5418.7.\nAnswer: 433.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -653*y**3 - 10*y**2 - 10*y - 5. Let t(i) = 128968*i**3 + 1974*i**2 + 1974*i + 987. Give 987*d(m) + 5*t(m).\nAnswer: 329*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920844 is divided by 8687.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-50))\/(10\/(-4)). Suppose 550*r - 2211 = -2211. Is x not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 20*n + 4. Let r be -5 - -1 - (-9)\/(-3). Let z(t) = -6*t**2 - 44*t - 4. Let a be z(r). Give d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1570*t - 14279. Determine f(9).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234 + 633. List the prime factors of i.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*-1*sqrt(1700) - sqrt(1700)))**2 + ((sqrt(119) - -3*sqrt(119))\/sqrt(7) - -6*sqrt(17)*4).\nAnswer: 28*sqrt(17) + 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 46 = a + 2*h, -2*h + 10 = 0. Suppose a = 4*w + 2*s + 36, -w = 3*s - 4. Let u be w*4\/(-8) - -2. Calculate the greatest common factor of 48 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6810749851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 1\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 + -16.17. Let t = -14 - k. Which is the closest to t? (a) 0 (b) -1\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Suppose 2*u + 2*v = v, -u - 5*v - 18 = 0. Let n be f(u). Is -1*n*(-340)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -135, -138, -143, -150, -159?\n\"Answer: -w**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40, -0.13, -1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20441314 (base 5) in base 4?\nAnswer: -221313003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 478010390 a multiple of 1089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5f7a (base 16) to base 6\nAnswer: 305054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 38 - 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 4 - 0 - (2 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from {w: 3, e: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7077*h + 15 = 7082*h, -5*h + 30 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x + 29. Give c(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**6\/120 + o**5\/15 - o**3\/6 - 4*o**2. Let r be m(4). Which is the nearest to 1? (a) r (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 - m**4\/6 + m**3\/6 + m**2 + 4*m. Give h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a meter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**2. Let f(g) = 556*g**2 - g. What is f(l(p))?\nAnswer: 20016*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 32, 78, 142?\n\"Answer: 9*u**2 + u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1726\/7 + 246. Let m = 2\/26297 + -184085\/78891. Let v be (-4)\/6 + 8\/(-24). Sort v, m, i in decreasing order.\nAnswer: i, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21507 + -21504. Factor 20\/3 + 5\/3*i**j + 40\/3*i + 25\/3*i**2.\nAnswer: 5*(i + 1)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/21*(-114)\/32 - 1. Is -1 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16896.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100778*j + 217493 wrt j?\nAnswer: -100778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1138, 198 in descending order.\nAnswer: 198, 0, -1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -8a?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*y**2 + 2*y**4 + 2*y - 134*y**3 + 241*y**3 - 107*y**3 to the form q + k*y**2 + o*y**4 + d*y**3 + t*y and give k.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44782 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7162.\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(1\/4)*d))*d)**18\/((d\/((d*d*d*d**(-2\/3))\/d))\/d**(-1\/5))*(d**(1\/2)\/(d**(-3)\/d))**43 assuming d is positive.\nAnswer: d**(3512\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 10 = -m, -m + 18 = 4*p. Let i(q) = -q**2 - 8*q + 12. Let d be i(-9). Which is bigger: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*f*y**2 + 7*f - 131*y**2 + 940 wrt y.\nAnswer: 52*f*y - 262*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5723 + -5675. What is the remainder when 973 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 5, 7, 10 in decreasing order.\nAnswer: 10, 7, 5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 10*k + 14. What is the remainder when 48 is divided by r(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123854356 > 1123854356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 170\/7 (b) 0.2 (c) 0 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r + 751. Let z be g(75). What is the second smallest value in 3, 17, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 50415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2)\/(4\/(-40)). Suppose h - 5*g - x = 0, 4*g = 4*h + 5*g - 58. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-176)\/(-14))*2*(-2)\/7*-3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/232 - 1887\/464. Find the common denominator of -59\/10 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433021, -433027, -433033?\nAnswer: -433039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f - 8*f = 37. Let t = -4 + 8. Let b be f*t - (-10 - -2). Solve -b*z + 3 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a769 + 35?\nAnswer: a7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, a: 3, p: 6}. What is prob of sequence jjaa?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0115 and -0.45.\nAnswer: 0.005175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p**2 - 2*p - 1. What is the tens digit of b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*n - 174*n - 218*n - 2*n + n + 0*n + (4 - 4 + 2*n)*(6 - 1 - 3) + 4*n - 2*n - 4*n + 3*n - n + 0*n to t*n + v and give t.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -41*q - 27. Determine h(2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**8\/20160 - p**5\/20 + 3*p**2. Let a(n) be the third derivative of j(n). Let r(v) = 4*v. Calculate a(r(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/5369 and 40\/5369.\nAnswer: 5369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 372867, 1491450, 3355751, 5965770?\n\"Answer: 372859*k**2 + 6*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -5 (c) -0.3 (d) 3\/2687\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29847.1696 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275194\/71 + -3876. Let z(y) = y**3 - 2*y**2 - 4*y + 3. Let g be z(3). Which is greater: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 - 6*u - 5. Suppose -4*t - 13 = 11. List the prime factors of b(t).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343*a - 4*f = -1338*a - 40, -4*f = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, -7, -71, -169, -307, -491, -727, -1021?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634982 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50266.\nAnswer: 2, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/12 - 2*w**3\/3 - 4*w**2 + 2*w. What is the units digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(6*sqrt(40)))\/(sqrt(704)*-1*3).\nAnswer: -sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 30994 + 30994.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25152 and 3?\nAnswer: 25152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let i(y) = 35*y + 23*y - 189*y**2 + 23*y - 4*y. Let m(n) = 5*n**2 - 2*n. Let b(j) = -4*i(j) - 154*m(j). Calculate b(x(t)).\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 38 = -43. Suppose n*j = 9*j - 3164. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 57*u**2 - 18*u + 33. Does 76 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*r - w, -w + 3*w - 16 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11*-1 + (33 - 330\/22). Solve 5*l - n = -2*v, 139*v - 141*v = 2*l - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:57 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 - 187.9. Which is the third biggest value? (a) 0.08 (b) -3 (c) w (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 4*o)*(1 + 4 - 1)*(-8*o + 8*o + 24*o).\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/19 (b) -2\/9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10001000101100 (base 2) to base 13\nAnswer: -3c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 6*q**2 + 4*q. Let p(h) = -3*h**3 + 17*h**2 - 11*h. Suppose -10*l - 59 = 51. Let a = l + 28. What is a*k(u) + 6*p(u)?\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + 1*sqrt(40))\/(sqrt(5)*-1*-2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -9*d**6\/2 - d**5\/60 + 305*d**4\/24 + 52*d**2 - 1. Find the third derivative of l(x) wrt x.\nAnswer: -3240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8157*v + 8158*v + 3*l - 24, 5*v = 3*l - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + 1166*s**2 - 1141*s**2 as l*s + u*s**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -5, 7, -30816 in descending order.\nAnswer: 15, 7, 3, -5, -30816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/((-2)\/(-9)). Let n(p) = -p**3 + 5*p**2 - p + 4. What is the remainder when n(w) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, y: 3, z: 6, k: 3, q: 4, h: 1}. What is prob of sequence ykhy?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + 0 + (0 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 18*a**2 + 7*a - 1. Let r(j) = j**3 + 9*j**2 - 3*j. Determine 7*r(f) + 3*u(f).\nAnswer: f**3 + 9*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -49 - 4*n + 30 - 5 - 2*n. What are the prime factors of x(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 24*z - 12. Let b(c) = -c**2 - 4*c. What is 2*b(o) - j(o)?\nAnswer: o**2 + 16*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/21 - 730*o**2\/21 - 21328*o\/7 + 23064.\nAnswer: -2*(o - 7)*(o + 186)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 162\/135*50\/15. Suppose -d - 5 + 7 = 0. Put m, 1, d in ascending order.\nAnswer: 1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6*k**2 + 0*k - 3\/2*k**4 - 6*k**3.\nAnswer: -3*k**2*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4\/9 + 16*s**3\/3 - 4*s**2\/9 - 16*s\/3 = 0.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/(-222)*(-1)\/(2 + -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17*k**2. Let m(q) = -q**3 - 33*q**2. What is -2*m(j) + 5*x(j)?\nAnswer: 2*j**3 - 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2338)\/308 - (-12)\/132)\/(513\/(-144)*4).\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4 = -2*u, -3*u + 3088*m - 26 = 3090*m for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q + 4*l - 24, 0 = q - 5*l - 18. Let h = 10 - q. Solve 3*o + 20 = -h*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 24 = 1454*s - 1453*s, s = 14*k - 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 896*g - 1530*g - 7764 = -19794 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429\/2 greater than 1215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Suppose 3*x - 169 - 49 = -y, -h*y + 289 = 4*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -5\/6, 0, -0.03, 979, 54?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 25560*l**3 - 4*l + l + l + 25667*l**3 to s + x*l**2 + j*l + g*l**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8255?\nAnswer: 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/6*(-8)\/(-5). Suppose -y*n - 6 = -6*n. Solve -3*p + n*a + 8 = -1, 4*a = p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let a(y) = 4*y + 4. Let u(p) = -p + 1. Let w(c) = -6*a(c) + 24*u(c). Determine w(i(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhltmffr. What is prob of picking 1 l, 1 t, and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 8*b + b + 2 + 3*b**2 - 9*b. Let k(n) = -8*n + 1. Let o be k(-2). Suppose 0 = -5*c - v - o - 1, -c = -v. Calculate m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 - d**2 - 5*d**2 - d**2 - d**2 + 0*d**2 + (-4 + 5 - 2)*(4*d - 4*d + d**2) - 14*d + 4*d**2 + 14*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*d + 3*d**2 + 688 - 1396 - 63*d + 708.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -198158, -198164, -198184, -198224, -198290, -198388?\n\"Answer: -k**3 - k**2 + 4*k - 198160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12351279, -12351223, -12351169, -12351117, -12351067?\nAnswer: -12351019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 67 + 33)*(7*l**3 - 12*l**3 + 18*l**3).\nAnswer: 780*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 + 2*a**2 + 4*a. Let d(w) = 4*w**3 - w**2 - 3*w. Let k = 34 + -31. Calculate k*g(u) + 4*d(u).\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24821 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 12:37 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-2 - -7) + -17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiiu. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 + 2 + -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i + 41. Let p be t(0). Suppose 37*q = p*q - 552. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824ed (base 15) to base 12.\nAnswer: 17ab21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223001 (base 5) to base 9.\nAnswer: -11721","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15022)\/7)\/(-2) - (-2 + -3).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243728*f**4 - 2*f**3 + 119*f**2 + 28000*f + 1258 wrt f?\nAnswer: -2924736*f**2 - 12*f + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -291, -1145, -2567, -4557, -7115, -10241, -13935?\n\"Answer: -284*y**2 - 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 2*a**2 - 4*a**3 + (-a**2 - 4*a**2 + 4*a**2)*(-10 + 8*a + 10) to t*a**2 + m + c*a + i*a**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 + 3*g + 9. Suppose 2*j - 5*v = 10, -2*v = j - 0 - 5. Suppose 8 = b + 5*o, j*b = -5*o + o - 2. Is 10 a factor of k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**4 + 43404*p**2 + 21560*p wrt p.\nAnswer: 36*p**2 + 86808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2317 = 207*q + 581 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -813. What is the common denominator of 71*(-4 + (-237)\/(-60)) and n\/(-144) + (-2)\/3?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -108*d - 4424. Calculate z(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2184545513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21495272, -1, -4 in decreasing order.\nAnswer: 21495272, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -29*g**2 - 29*g**2 - 31*g**2 + 28 + 110*g**2 + 15*g - 20*g**2. Determine p(-17).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 13*i**2 + 0 - 19*i**2 to z + p*i + u*i**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + u**4 + 0*u**4 + u**4 + 4*u**4 - 3*u**4 + (3*u**3 + 0*u**3 - 2*u**3)*(-u + 0*u + 6*u) in the form p*u + i*u**3 + k + r*u**2 + a*u**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 17552690438385.\nAnswer: -17552690438384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-18))\/(294\/126)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-25)\/(-5)*3 + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**5*o)\/o)**(-38))**46 assuming o is positive.\nAnswer: o**(-10488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 - 6*g + 9. Let x(w) = 2*w + 3 - w**3 + 5*w - 13 + 2*w**2. Let m(v) = -4*x(v) - 5*y(v). Let b be m(-4). Solve -5*o = -4*o + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198.999995542 - -199. What is x rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -51\/2, -42 in descending order.\nAnswer: 2\/3, -51\/2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -15 (c) 0.083 (d) -3 (e) -1\/2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, 3, 0, -2, -3.\nAnswer: -5, -3, -2, 0, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -34 - -37 - 168\/(12\/(-40) - 0).\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-3*j**2 - 5*j + 5*j)*(2*j - 11 - 3*j + 3*j).\nAnswer: -12*j**3 + 66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404 (base 5) to base 8.\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipqejjjqiqj. What is prob of picking 1 e and 1 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663546 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: Which is bigger: 1005\/2 or 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*o**3 - 405*o**2 + 675*o\/2 - 375\/4 = 0 for o.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -5, -16, -3, -15602, 4 in descending order.\nAnswer: 4, -3, -5, -16, -21, -15602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 300 = 0. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (10 + -4 - 15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.66181858 and 0.7081?\nAnswer: 4.36991858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Suppose 0 = -g - 0*g + 3*k + 1, 3*k - 23 = -u*g. Calculate the highest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r - 5 = -51. Suppose -a + 6 = -3*m + 2*m, -a + 8 = -2*m. Suppose -j + 7 = -3*s, -a*j - 7 = -j - 2*s. Put j, r, 2 in descending order.\nAnswer: 2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58682131.\nAnswer: 23, 2551397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -10*s + 8. Suppose 0 = -4*i - 5*v + 63, -4*i + 9 = -s*i - 5*v. Suppose -17*c = -i*c - 30. Solve -5*q + c - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 18 = -u, -30 = -2*u - u + 4*v. Suppose 4*c = 2 + u. Let z be 2492\/(c\/(-2)) - -2. Round z to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-13) + -25 + (20 - 11)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 5. Let h be b(5). Suppose h = -x - 5, 0*k - 4*x + 13 = k. Let f = k + -14. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2350 and 10.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10644101*u**2 - 4753546*u wrt u.\nAnswer: 21288202","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 + 10*d + 6. Let h be g(4). Let t be (-3718)\/(-117) + h\/(-9). Calculate the greatest common factor of t and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/5 - 119*q**4\/5 + 162*q**3\/5 + 122222*q**2\/5 - 1539809*q\/5 + 283509 = 0.\nAnswer: -109, -45, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -198980 divided by -3195\nAnswer: 39796\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.323 - -3.1213. Round w to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46069472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*u - 5 = -y + 820*u, -4*y + 5 = 7*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/28*122\/(-915)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.41614 nanoseconds in milliseconds?\nAnswer: 0.00005441614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q - 184. Calculate v(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/6 - 13*m**3\/3 - 12*m**2 - 101*m. Factor y(i).\nAnswer: -2*(i + 1)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 0*c**3 + 36 - 1\/8*c**2 + 1\/16*c**4 + 0*c. Let z(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2 + 10. Let i be 0\/(3*(-2)\/l). What are the prime factors of -9*(1 - i)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in 1\/5, 0.1, -2\/555, 3, 0?\nAnswer: -2\/555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (1 - -2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 26. Let z = 131 - q. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 9*o**2 - 4*o - 1. Let s be d(5). Let x be 32\/6 - s\/12. Solve x*z = -i + 4*i - 28, -5*i - 5*z - 20 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4602 (base 11) to base 8.\nAnswer: 13644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12075 is divided by 1508.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/47 and 14\/5.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13244225 (base 6) to base 12.\nAnswer: 193675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-98)\/196*-2*2\/(-17). Let k = 7.3 + -7.6. Which is the second biggest value? (a) -0.1 (b) k (c) m (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2, 0 = -4*p + p + w - 13. Sort -4, -1, p, -3.\nAnswer: p, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 4. Let k be i(10). Which is bigger: -13 or k?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/525*((-178)\/(-12) - (156 + -142))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29e (base 16) to base 2\nAnswer: 1010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5))**10)**20 assuming r is positive.\nAnswer: r**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*((-4)\/8 + 1). Let m(n) = -2 + 2 + 62*n**2 - 60*n**y. Let z(k) = 2*k. Calculate z(m(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28172 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76158a - 2?\nAnswer: 761588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*l**3 + 4*l**3 - 7*l**3)*(6 - 3*l + 2*l - 5) as g*l**4 + y + w*l**2 + x*l + p*l**3 and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 2\/23 (c) -4 (d) 10.4 (e) -23.99 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6246, 7711, 9174, 10635, 12094, 13551, 15006?\nAnswer: 16459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2078, 8763, 19904, 35501, 55554, 80063?\nAnswer: 109028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37323 divided by 1131.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 7) to base 5.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*c - 4*c - 8*c)*((-2 + 8 + 12)*(-2 + 1 + 3) + 1 + 2 - 5) - c + 2*c - 2*c - 1 + (-1 + 0 - 2)*(c + c - 3*c) as a + j*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*a - 824008 = 0, -5*a + 1647996 = -2*x - 3*a. Let s be x\/(381\/(-75) + 3 - -2). Round s to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7931 greater than 7931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.166687 and 1.49.\nAnswer: -0.24836363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3080003 and 531035.\nAnswer: 15400015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44.8386 from -99757840.\nAnswer: -99757884.8386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 16425456031160?\nAnswer: 16425456031159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6)\/72*4\/(-8).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, i: 9}. Give prob of picking 1 i and 3 s.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 w when three letters picked without replacement from waznngammnnmggamm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629017 is divided by 1733?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 5 (c) -0.05 (d) -0.2 (e) 0 (f) -1\/38 (g) 3.79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11246 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -57, -72, -91?\n\"Answer: -2*l**2 - 5*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 18. Let n(s) be the first derivative of 2 - 2*s**2 + 1\/4*s**x - 2*s + 4\/3*s**3. Give n(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4899 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-22))\/(w\/(w*(w\/((w*w*w**3)\/w*w))\/w*w*w)) assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001432 to 5 dps.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 4, s: 4, e: 4, n: 1, m: 1}. What is prob of sequence sma?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.45 + 0.05. Let v = -5.275 + 1.275. Which is the nearest to 2? (a) 4 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n + 1. Let q(g) = 4*g**2 + g - 1. Let i(h) = -h**2 - 27*h + 235. Let d be i(7). Determine d*t(l) - q(l).\nAnswer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5 - 3*d**4\/2 + 3*d**3\/2 + d**2 = 0?\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000987 rounded to 6 decimal places?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -13. Which is the nearest to 1? (a) -3 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2205*n**5 - 449400*n**4 - 87340*n**3 + 338480*n**2 + 32960*n - 65280 = 0.\nAnswer: -2\/3, 4\/7, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.05, -41\/5, -0.3, -1, 2, 12\/149, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*b - 3*b. Let o be (-2)\/(12\/b - 2). Suppose 0 = -p - 4*k + 46496, -6*p + o*k = -p - 232504. Round p to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8294.\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -5 (c) -1 (d) -1.5 (e) 95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/85 + 138\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -261795402, -261795404, -261795406, -261795408?\n\"Answer: -2*f - 261795400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-3) - -112 - 4. Suppose -4*m + 304 = -s, -s + 8 = 12. Let k = y - m. Calculate the highest common factor of k and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16541 and 536401.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 56?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 12. Suppose l*b + 2*m = 0, 2 = -5*b - 3*m - m. Find the third derivative of -q**5 + q**5 + 6*q**b + 8*q**6 + 0*q**5 wrt q.\nAnswer: 960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/5 - 60628*r**2\/5 - 91784632*r + 8280272016\/5 = 0. Calculate r.\nAnswer: -15166, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1081 - -1916. List the prime factors of k.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) - sqrt(30)\/sqrt(3)) + sqrt(10))\/sqrt(2) + -2*sqrt(125) + sqrt(125) + 1 + 3)**2*-3 + -1.\nAnswer: -289 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:58 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 304\/(4 + 4) + (-1 - 1). Suppose -u + 702 = 2*h. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 - 0.3. Let t = 1.716 - 1.564. Let q = -0.352 + t. Put q, 1\/4, -4, k in decreasing order.\nAnswer: k, 1\/4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 = -4*j, 5 = -5*j - 2*d - 3*d. Let r be (-1)\/((7\/2)\/7). Let h be r\/6 + (-2)\/12. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**3 - 4*y**2 + 3*y. Let x(l) = -368*l**3 - 351*l**3 + 1088*l**3 - 368*l**3 + 3*l**2 - l - 2*l**2. What is -4*x(d) - z(d)?\nAnswer: -17*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (72\/(-60))\/((-3)\/20). Let p(g) = -8*g + 54. Let v be p(z). Let b(h) = 2*h + 5. Let u be b(-4). What is the third smallest value in v, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -124. Let v = r - -125. Which is bigger: v or 65?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -37, -27, -17, -7, 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -17 + 22 + -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d**2 - 136*d + 51. Let a(w) = 5*w**2 - 48*w + 18. Let c(j) = -17*a(j) + 6*q(j). Let g(f) = -2*f + 3*f**2 - 2*f**2 - 29*f. Give g(c(r)).\nAnswer: r**4 + 31*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.1 - -24. Round o to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6675585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 67*i = -216, 4*i + 73 = -5*y + 110 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/4 + 2991757*l\/4 - 2243820 = 0.\nAnswer: -2991760, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 35. Let j be i(17). Let c(o) = -o**3 + o**2 - 1. Give c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 0.034.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445181, -445310, -445525, -445826, -446213, -446686?\nAnswer: -447245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381964675 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 h when three letters picked without replacement from zhzhzhhzzhzhzhzhhzzz.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 688.855?\nAnswer: 165.3252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/462)\/((-41)\/(-4)))\/(4\/28)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6901352936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1837*r + 1328*r + 1605*r + 27 - 27)*(-3*r**2 + 2*r**2 + 0*r**2).\nAnswer: -4770*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + f - 2 = 0, 12*f - 10*f - 7*f - 4 = 3*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728262 is divided by 5418?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 5*i - 36. Let r(d) = -d**2 + 2*d + 12. Determine -8*r(k) - 3*u(k).\nAnswer: 2*k**2 - k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67743 by 425.\nAnswer: 67743\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -120. Suppose m*c - 13*c = 20, 0 = -z - 5*c + 1123. List the prime factors of z.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.7, -1\/6, -2, -1\/3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87, -381, -887, -1617, -2583?\n\"Answer: -2*y**3 - 94*y**2 + 2*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -430, -1255, -2082, -2911, -3742, -4575, -5410?\n\"Answer: -z**2 - 822*z + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 10. Let d = -41 - -54. Let i = d - p. Solve 0*w = w + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + c = 104, c + 3*c = 5*h - 151. Let y = h + -18. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiei when four letters picked without replacement from iiairheihhi?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 310005661 + 229570739 = -98*a. Round a to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -468 in -7\/2, -2\/3, 345?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 34225*v**4\/7 + 320420*v**3\/7 + 10368*v**2\/7 + 16*v - 620. Let d(j) = 0. What is j?\nAnswer: -7, -2\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 86 = -4*b, -51*n - 84 + 25 - 7 = -102*n + 54*n - 12*b for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 = 3*p - 3*u, -2*p + 2 = -4*u. Suppose -76 = -2*d + x, -p*x = -d - 6 + 44. Suppose -3*n - 5*b + d + 7 = 0, 24 = 3*n - 2*b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 282*n**2 - 2*n + 4. Let m(d) = -281*d**2 + d - 3. Give 4*m(c) + 3*t(c).\nAnswer: -278*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6125*s**4*w - s**3 - 2*s**2*w + 2*s**2 - 60*s*w + 444*s + 3 wrt s.\nAnswer: -73500*s**2*w - 6*s - 4*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7587, 8392, 9117, 9762, 10327?\n\"Answer: -40*g**2 + 925*g + 6702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6297 - -6299. Let x(d) be the second derivative of 0 - 1\/66*d**4 - 1\/110*d**5 + 19*d + 5\/33*d**3 - 3\/11*d**r. Factor x(t).\nAnswer: -2*(t - 1)**2*(t + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - u + (0*u - 4*u + 5*u)*(0 + 3 + 0) + (13 - 20 - 17)*(0*u - 5*u + u) + (4 - 4 - 2*u)*(3 + 3 - 2).\nAnswer: 90*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*g + 2*z - 13, -15 = 3*g + 3*z for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340.0000223 + -340. What is x rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 917087 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 23753 = 28087. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1272, 2549, 3828, 5109?\nAnswer: 6392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) 1.22 (c) 33 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1013621659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. What is the units digit of (-29)\/q + (-3)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150912286.\nAnswer: 2, 7, 2657, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {y: 6, d: 2, k: 11}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**5\/7 - 4*b**4 - 16*b**3 - 80*b**2\/7 = 0.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -184 + -32a01?\nAnswer: -33085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 1317050.\nAnswer: 11853450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**4 + 0 + 0 + (-11*s**3 + 9*s**3 - 24*s**3)*(4*s + 0 + 0).\nAnswer: -111*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.110829 kilograms in milligrams?\nAnswer: 2110829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 = 2. List the prime factors of 86\/18 + m\/54.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8131 + -3.2131. Let f be (4\/(-144))\/((-2)\/6). What is the nearest to w in -2, -1\/24, f?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957177070 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.40277 + 0.3142. Let p = -0.0885704657 - u. Round p to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y + 30*y + 160 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 13*b - 306. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/75)\/(6\/(-9) + 0)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -283 + 283. Let b = -9 + 4. Let q = -4.92 - b. Is q bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-4 - (9 - 47))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15368 divided by 17?\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -2543?\nAnswer: -253a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/(g\/((g**(-8\/7)\/g)\/g)))**(1\/38) assuming g is positive.\nAnswer: g**(-71\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {w: 8, a: 2, n: 4, f: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:07 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 19*j + 45*j + 17*j.\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**5\/20 + 23*h**2\/2 - 33*h - 12. Let z(d) be the first derivative of q(d). Differentiate z(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 102830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 50. Calculate the remainder when 56 is divided by a(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3022 (b) 0.6 (c) -0.1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 31*h - 12. Let v be b(11). Suppose -3*u = v + 160. Let q = u - -241. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-3) - (-1 - 0). Suppose -3*n + q*w = -w + 6, 0 = -4*n - 4*w - 8. Sort 0, -4, n.\nAnswer: -4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 4}. Give prob of sequence ncn.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h**2 + 43*h + 517. Is q(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -224*(1 + 0)*4\/8. Let t = -133 - -67. Does 4 divide (6 - t\/(-12))\/((-2)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 1, h: 7, m: 8}. Give prob of picking 1 m, 1 s, and 2 h.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*n + 12, 0 = m + 3*m + 5*n + 15. Solve m = -7*l + 11*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1685 + -295?\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**0)\/(r*r**(-6)*r)*(r**(2\/7))**(-8) assuming r is positive.\nAnswer: r**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x - 11*x + 11*x)*((2*x + x - x)*(4 + 3 - 6) - 7 - 6*x + 7).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79.8 + -95. Let x = o - -12. Which is the fourth smallest value? (a) -5 (b) 1 (c) x (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**2\/2 + 36. Let k(u) = -2*u**2. Give k(s(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - 3. Suppose 3*s = 10*s. Solve l*b - 6*b = s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34.7 at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*m + 22505 = 202*m + 39192 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.782121 centimeters?\nAnswer: 0.04782121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160906507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1723*s**4*w + 13131*s**2*w - s + 19040975*w wrt s?\nAnswer: -20676*s**2*w + 26262*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -296*y**3 - 37*y**2 + 37*y + 37. Let n(z) = -33*z**3 - 4*z**2 + 4*z + 4. Let c be -4 + (-2332)\/66 + (-14)\/(-6). What is c*n(l) + 4*u(l)?\nAnswer: 37*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049018359 to six decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 4*u**2 - 4*u**2 + (-2*u**2 + 3*u - 3*u)*(-5*u - 10*u - 27*u).\nAnswer: 86*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -224.32686 rounded to zero decimal places?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -12, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c - 7. Let s be z(8). Suppose 2*j - s = -j. Solve 0 = 8*k + j + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 - -205. Calculate the common denominator of 1 + (-4)\/r - (-252)\/243 and (-871)\/(-210) - (-4)\/14.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 2*m**5 - 6*m**4 + 18*m**4 - 12*m**2 + 6*m**5 - 8*m = 0. Calculate m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03187 and -2210.\nAnswer: -70.4327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - i = 2, -6*i + 2*i = 3*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9314540 and 11960?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 87190700 to the nearest 1000000.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*l = -15, -5*c + 6*l - 3*l = -6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419862849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -32.2. What is h rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Suppose -4*k - 3*j + 26 = 6, 4*k = 2*j. Differentiate -t + x + k + 4 with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w - 17. Let l be d(5). Solve 0 = -o + 3*a - 13, 0 = l*o + 2*o + 3*a + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70462605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 + 13 - (6 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271621?\nAnswer: 3, 11, 19, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5063318, -5063311, -5063304?\n\"Answer: 7*s - 5063325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**3 - 11*l**2 - 87*l - 184. What is d(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 354 or 3190\/9?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 12*z**3 - 95 - 2\/7*z**7 + 0*z**5 + 0*z + 0*z**6 + 0*z**2 + 7\/4*z**4. What is the third derivative of w(p) wrt p?\nAnswer: -240*p**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = 3. Let j be -6*v\/(0 + -3). Let o(a) = a**5 + a**4 + a. Let k(u) = u**5 - 3*u**4 + 8*u**2 + 3*u. Let s(t) = j*k(t) - 6*o(t). Factor s(z).\nAnswer: -4*z**2*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-27) - (10\/(-5 + -25))\/(32\/(-247)).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20314.815 * 2\nAnswer: 40629.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 311460 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u - 43 + 183 = -204 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Let w = 149\/4 + -37. Sort w, -1, z in ascending order.\nAnswer: -1, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)*d**3*d*(d\/d**(1\/4))\/(d*(d*(d*d**(2\/3))\/d)\/d))\/(d\/d**(-2\/3)*d*d**(-2)\/d*(d\/(d**(-1\/3)*d)*d)\/(d**0\/d)) assuming d is positive.\nAnswer: d**(67\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 81. Sort 3, p, 2, -2.\nAnswer: -2, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 82080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 10*o**2 - 8*o - 3. Let d be 8 + (-3)\/6*-2. Let m be z(d). Solve -2*s + 0*g - m = -4*g, 12 = -4*s + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 7*a + 10. Let i be h(-8). Let p = i - 4. Let f(u) = -5*u + 6*u + 0*u. Give f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + -15 + 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v - 25. Let s = 1.3 - -68.7. Let u = -73 + s. What is the smallest value in v, u, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 - 2 + 313*z - 329*z + 2 + 0 to the form l*z + a*z**2 + j and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/4)\/((n\/(n**(-35)*n))\/n*n)*n\/(n\/n**(1\/53))*n*n*n\/((n*n**(-4\/5)*n)\/n) assuming n is positive.\nAnswer: n**(-35437\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 626 - 625. Let x be (l - -3) + (7 - 9). Solve 0 = -3*r - 12, 2*s = r + 6 - x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 211143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 405177.1 to the nearest one thousand.\nAnswer: 405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/2))**(-12)*(s*s**(-1\/2)\/s)\/(s*s*s**(-9)\/s*s))**(-24))**(-2\/101) assuming s is positive.\nAnswer: s**(24\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/7 (b) 5\/2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4*h - 226*c**4 - 292*c*h wrt c?\nAnswer: -12*c**2*h - 2712*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 + 3*a**2)*(-1 + 0 + 3) - 3 + 3 - 3*a**2 + (-2*a + 2*a + 2*a)*(3 - 3 - 2*a) + a**2 + 0*a**2 + 0*a**2 + 198*a - 74*a**2 - 198*a.\nAnswer: -76*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)\/z)**(-2\/19)\/(z**(-2\/7))**(-9\/2))\/((z**6\/z)\/z**(2\/11)*z**(1\/2)*z*(z\/(z\/z**(-4)*z))\/z) assuming z is positive.\nAnswer: z**(-4385\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 4200?\nAnswer: 214200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-60)*5\/234. Let f = k - -6857\/2184. Let -24\/7*n + f*n**2 - 6\/7*n**3 + 8\/7 = 0. Calculate n.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/3 - s**2 - 9. Suppose -4*u + 14 = -2*u. Let q = 5 - u. Let r(n) = 3*n**2 - 5*n. Calculate q*r(w) + 5*b(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 7*w**3\/3 + 57*w**2\/2 + 10*w - 37. Let c be y(-8). Solve -c*p - 4 = -3*n, 4*p - 2*p = -3*n + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1467824377 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -10)*5\/20. Solve 0 = -c*v + 4*z - 17, -5*v = -2*z + 28 - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (104 + -16 + 1 + -13 - 4).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-156)\/(-91))\/((-2)\/14). Let w = -14\/3 + u. Find the common denominator of w and 3 + (-70)\/25 + 74\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371750 - 10590.\nAnswer: -382340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3313845 to the nearest 10000.\nAnswer: -3310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 - 11*r + 6.\nAnswer: -11*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54487, 124639, 194779, 264901, 334999?\nAnswer: 405067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u + 239. Determine o(18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*y = 51, 5*y - 23 = 18*d - 21*d. Calculate the remainder when 439 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1) - (-501)\/(-252). Let q = y - -29\/12. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -4.7. Let r = 847\/3 + -284. Sort r, f, -1\/4 in decreasing order.\nAnswer: f, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, l: 2, z: 6}. What is prob of picking 2 x?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -35*s + 640. Calculate j(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1199 - 1051 = -10*t. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*q**4*w**2 - 2*q**4*w - 535*w**2 wrt q?\nAnswer: -60*q**3*w**2 - 8*q**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8383\/2640 - 25\/176. What is the common denominator of 143\/18 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9370 is divided by 2166?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00056817 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330 = -118*j + 23*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54004919 times -5?\nAnswer: 2.70024595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36605235 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 10*k + 4. Let l be p(-10). Suppose q = -l*q + 30. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -381547 + 297606577\/780. Calculate the common denominator of a and 109\/234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 965.0110731 to two decimal places.\nAnswer: 965.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45135633 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2 + 3633332*h + 2 + 0 - 8. Let d be x(-6). What is d rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 476710, 0, -2, -1 in ascending order.\nAnswer: -2, -1, 0, 476710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 14 + 6 = d, -4*d = -2*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 + 174. Suppose v = 6*o - 0*o. Suppose -5*d - o = 4*j, 4*j = 4*d - d - 19. Which is the third biggest value? (a) -3\/7 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-4)\/6))\/((-540)\/(-900)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 - -0.45. Let u = -29.9 - -11.9. Is u at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 65*p - 785. Let o be h(11). Solve 7*y - o = -65 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 5. Let h(d) = d**2 - 2*d - 4. Suppose 2*a - 4*a + 14 = -4*q, -a - 3*q = 18. Suppose -9 = 95*w - 87*w + 7. Determine a*h(f) + w*u(f).\nAnswer: -3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29238176 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 2*i**3 - 5*i**3 + 7*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6 + (-2466)\/(-36). Suppose w = 4*j + 14. Let u(z) = z**2 + z - 2. Let g be u(-4). Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259402*m + 77428*m - 87827*m - 405856*m.\nAnswer: -675657*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-6)\/(-9) + 1. Is -2\/9 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 3\/34, -5, 0.19, -3 in ascending order.\nAnswer: -5, -3, 3\/34, 0.19, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 16*f = -14*f + 57, 0 = 4*n - 4*f - 36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/14912128 and -137\/612?\nAnswer: 134209152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omtt when four letters picked without replacement from ttdodtmddtttdttddm.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -4*x. Suppose x = 2*u - w - 4, 3*w - 2*w = 5*u - 7. What is the nearest to 3 in 0.5, -1\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 27*z - 31*z + 69, -5*m = -z - 240. What is the remainder when m is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.64 - 12. Let q = x - -0.06. Let h be 6\/(-1) - -1 - -2. Sort h, q, -1\/4 in descending order.\nAnswer: -1\/4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6bb36 + 2?\nAnswer: 6bb38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1*-4 + (1*sqrt(19))**2*1.\nAnswer: 4*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338497 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 76. Let a be z(-9). Suppose 2*j - 96 - 320 = -5*f, a*f - 198 = -j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(4 + (sqrt(468)*1 - sqrt(468)) - 2*sqrt(468)*1))**2.\nAnswer: -13824*sqrt(13) + 271872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 2*u - 10 = 3*t, 0 = 5*t + 5*u - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172316172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djiddjqizzcq. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 12 - 36 = 0. What is the derivative of 2*p - 33 + y*p + 39 wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.6738 + -1.0752. Let b = -12.6 - f. Let p = b - 13.749. What is p rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*m**2 + 2 - 1\/2*m = 0. What is m?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27182227?\nAnswer: 677, 40151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4*s - 7. Let p = -11 + 16. Let k be h(p). Let c be 3*((-5)\/k - 2). Is 0.1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/16*(-4296)\/2685\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 901451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, s: 11, q: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**2 + 100*q. Let z = -5283 - -5277. Let d(j) = 4*j**2 - 33*j. Calculate z*f(o) - 17*d(o).\nAnswer: -2*o**2 - 39*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y - 11. Let d be c(-11). Suppose -d = -3*f - 5*b, -2*f - 14 = b - 53. Calculate the highest common factor of 220 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k**3 - 477001952*k**2 + 2844135682247236*k + 1137654349219208 = 0. What is k?\nAnswer: -2\/5, 11925049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 6*b**5 - 3*b**5 - b)*((5 + 1 - 4)*(4 - 6 + 3) + 2 - 27 - 26 + 0 - 1 - 2).\nAnswer: -156*b**5 - 52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52484 - -2037. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*f**2 - 306*f + 306*f + 3 - 2*f**2 - 3 + (0*f**2 + 2*f**2 + 0*f**2)*(1 - 2 - 1) - 2*f**2 + f**2 + 4*f**2 - 2*f + 2*f + f**2.\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v = 58*v - 28. Suppose 2*g - 1 = 3*a, a = 2*g + 4*a - v. Suppose 0 = 3*s - 5*o - 6, 0*s + g*o = 3*s - 6. Let r(n) = n - 3. Calculate r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4565 (base 10) to base 16\nAnswer: -11d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 6. Suppose 0 = -2*j - 4*m - 4 + 2, 29 = 4*j - 3*m. Let u = 5 - 5.3. What is the closest to -1\/4 in u, g, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -208. Suppose 4*t = k - 66. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.5 (b) 2 (c) 5\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 107.756 tonnes?\nAnswer: 107756000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -225906897, -225906896, -225906895?\n\"Answer: i - 225906898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((94128\/(-288))\/(-53))\/((-23)\/138)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/(-2))\/(3\/(-45)). Suppose 4*x + 4*a - t = 0, 4*x - 459 = -x + 4*a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011011110 (base 2) to base 3.\nAnswer: -121110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -18*y - 28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254960 divided by -20.\nAnswer: -12748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256364394 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6041495 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 - 10111011011011000?\nAnswer: -10111011100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25 - (-4 - 0)) + 3. Let p = k - 27. Solve 2*s = 2*j - 12, -2*s = -4*s - p*j - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 13*w**2 - 120*w - 1360. Calculate j(-10).\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 4) to base 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271676 = 30*t - 167914. Round t to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*((-4 + sqrt(2299))*-1 - (4 + sqrt(2299)*-3))**2*-1.\nAnswer: -110352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-44 - -22) - 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 75720190 divided by -5\nAnswer: -15144038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = o. Suppose 3*y - 70 = o*v, 4*y - v - 117 + 32 = 0. Let l = -4 - 0. Sort 0, y, l in increasing order.\nAnswer: l, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/13, 7, -8\/61, -5, 5\/4 in decreasing order.\nAnswer: 7, 5\/4, -8\/61, -2\/13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((sqrt(190)\/sqrt(10) + 0)**2 - sqrt(19) - (sqrt(76)\/sqrt(324))**2)).\nAnswer: -1277\/27 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*b + 78. Let f(p) = 597*p**3 - 915*p**2 + 384*p - 39. Let h(g) = 149*g**3 - 229*g**2 + 96*g - 10. Let z(j) = b*h(j) + 2*f(j). Factor z(i).\nAnswer: -3*(i - 1)*(7*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481.99 rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3192 = -5*j - 1120, 5*c - 2*j + 7135 = 0. Is ((3 - c)\/(-4))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 + -3 - -3) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18090138 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 133989 - 25?\nAnswer: 133964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + -2 + (1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 896 and 3824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose -2*o = -3*w, -l*w - 1 = -3*o + 2*o. Does 7 divide w\/2 + 32 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -1.2. Let f = x - 1.3. Let u(d) = -d + 2. Let t be u(0). Which is the second biggest value? (a) f (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -93403.1.\nAnswer: -93403.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Let t(l) = l**2 + 121. Calculate t(x(d)).\nAnswer: 4*d**4 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:57 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = -2*f - 0, -5*f - r = -1. Let n be 6 - 582\/66 - -3. Let s be 8\/(-11) + (-1)\/(-1). What is the nearest to -0.1 in f, n, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 - 29*t. Let p(y) = -6*y**2 - 27*y + 3. Give 4*b(d) - 3*p(d).\nAnswer: -2*d**2 - 35*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 20 = 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9921 + 21172. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -961, -7813, -26483, -62881, -122917, -212501, -337543?\n\"Answer: -985*o**3 + o**2 + 40*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/5 - 0*1\/(-4). Is s greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 662.7298 years?\nAnswer: 66.27298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -0.88. Let h = f + -1.3. Let l = -3 + 0. Which is the third biggest value? (a) l (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 2*z + 166, -4*z + 142 = 2*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.009998?\nAnswer: -0.409998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.854. Let w = 0.844 - f. What is w rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*l + 0 = 3, 2*x + 3*l + 4 = 0. Let f(i) be the first derivative of -2*i**2 - 1\/3*i**3 - 5*i - x. What is f(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-418639)\/(-13)*(8 + -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*w**3 + 2 + 0 + 142*w**3 + 94*w**2 to d*w**2 + c*w + h*w**3 + s and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/2)\/(-56)*(-46)\/4*4\/1.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/72312 and 85\/30104.\nAnswer: 272110056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 23*i**3 + 119)*(-1 - 1 + 3) + 28*i**3 + 6*i**3 + 49*i**3.\nAnswer: 106*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 92. What is the third smallest value in x, -5, 2\/9, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j + 56*j = 64. Differentiate 13*c**3 - j*c**3 - 13*c**3 + 3*c - 50 with respect to c.\nAnswer: -48*c**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -1) - (5 - 17 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*o + 26, -86 + 15 = -5*x + 4*o. Let w be (-23)\/(-5) - 9\/x. Suppose -5*t + 718 = 5*m - 162, -4*m + w*t = -728. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226.0000174 - -226. Round o to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:17 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 29 = 5*x, 47 = -x + 6*x + 4*l. Let k(d) = -d**3 + 7*d**2 + 2*d - 2. Give k(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -t - 151. What is the remainder when t is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m. Let i(y) = -6*y - y**2 + y + m*y + 2. What is i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 3, e: 1, f: 5, b: 6, m: 1}. What is prob of sequence nm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(8)*1)\/(sqrt(8)\/sqrt(2)*-4).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8285 - 60?\nAnswer: -8345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 28644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from {u: 11, i: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 43, 118, 223, 358, 523?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001749317 rounded to seven decimal places?\nAnswer: 0.0001749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 89 = 79. Suppose -4*y = 5*p - 79, p = -4*y - y + 104. Suppose -3*w + y = -f. Solve -t - 4*n - 6 = -2*n, 5*n + w = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, -4, -1, 0, 0.0436?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/11))**(-1\/5) assuming l is positive.\nAnswer: l**(-1\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2 of a kilometer in meters?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12228*z**2 + 5*z + 3 + 5*z + 12186*z**2 - 5 to r + s*z + o*z**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 54, 108, 184, 288, 426, 604, 828?\n\"Answer: g**3 + 2*g**2 + 25*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 9*w**2 - 2*w - 13. Let f be i(-9). Do 4 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 18.5. Let h = -1.54 + 1.54. Let m = 0 + 2\/5. What is the smallest value in m, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 + o**2 - 2*o - 2. Let f = 97 + -93. Suppose -a + k + 3 = 0, -f*k = 9 + 11. Determine t(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (1*sqrt(704) + sqrt(704))*4 + sqrt(704) + sqrt(704).\nAnswer: 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 36. Let u be 5*(-4 - t - -3). Sort -6, 5, u in ascending order.\nAnswer: -6, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 94. What is the smallest common multiple of i(25) and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1879 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.98 + 2.02. What is the nearest to 2\/5 in -1, -2\/15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0.11 in descending order.\nAnswer: 0.11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(-4)\/14. Suppose 0 = -2*y + 3*a - 3, 5*y + 3*a = -22 + 4. Put y, z, 0.4 in descending order.\nAnswer: 0.4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50225473 (base 8) to base 16\nAnswer: -a12b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47737?\nAnswer: 47737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25248.83l to millilitres.\nAnswer: 25248830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from ybbkbyyb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**3\/2 - 245*a**2\/2 + 92*a - 18.\nAnswer: (a - 9)*(5*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(8\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {f: 1, x: 3, q: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7509?\nAnswer: 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/120 + g**5\/5 - 7*g**4\/8 + 3*g**3\/2 - 5*g**2. Let h be r(10). Let n = -844\/915 + 14\/15. Is n at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 50833314.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 5*v**2 + 6*v + 2. Let p be f(-6). Let g be (-6)\/8*p*-2. Suppose -g*c + 0*c = -9. Calculate the smallest common multiple of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 8:35 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147559 is divided by 979?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose -5*c = -23 - f. Suppose 0*p + c*p = -5*q + 1095, -4*p = q - 870. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 1 - ((-63 - 122) + 222)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25390 rounded to the nearest one hundred?\nAnswer: -25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 10*g**3 - 17*g**2 - 8*g.\nAnswer: -g*(g + 1)**2*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.8, -7, -4, -1\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0005*0.1.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**2 + 2*f + 0*f**2 - 15*f**2 - 43 + 23*f**2 in the form p + g*f + v*f**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:47 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -243*w**5\/5 - 3*w**4\/4 - 757*w**3\/3 - 347. Find the third derivative of s(p) wrt p.\nAnswer: -5832*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 1 = -32*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 53*k**6\/30 - k**5\/5 - 389*k**2 + 3755*k. What is the derivative of o(j) wrt j?\nAnswer: 212*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/396 - (-433)\/7794.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.216 - 0.216. What is the nearest to -13 in 1\/2, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2870\/12261 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111021 (base 3) in base 5?\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-18) - 4219\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4eb8 (base 16) to base 4.\nAnswer: -10322320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 128.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Suppose r*y + y - 132 = 0. Let c(s) = s**2 - s + 11. Let q be c(0). What is the highest common divisor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-1\/2)*d*d*d)\/d))\/(d\/(d\/(d**(-1\/3)\/d)))*(d*d**2)**(-1\/60))\/((d*d**(2\/27))\/d**(-2\/9))**(-2\/71) assuming d is positive.\nAnswer: d**(31433\/38340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-1)*(-21)\/(-6). Let a(r) = 4*r**2 + 936*r + 20958. Let z be a(-24). What is the highest common divisor of f and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-13)*t*t*t\/(t*t**(-14\/5)))\/(t**(-6\/5)*t*t**(-5\/3)))**23 assuming t is positive.\nAnswer: t**(-437\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/512 and 79\/7638912.\nAnswer: 30555648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 88*m - 384 + 30 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 144?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5740 - 5717. Solve 15 = 3*r, a - 7*r + 3*r = -m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/7)\/((-2)\/42). Suppose 3*r - 196 = -4*t, o*t - 8*r = -7*r + 134. Solve -t = -3*f + 4*u - 18, -4*f + 2*u + 24 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98068096 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 173641 (base 8) in base 13?\nAnswer: 22b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(1900).\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(132)\/sqrt(3))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose 2*p + 24 = 2*f, -v*f - 5*p - 1 = -2*p. Let w = f + -4. Solve -3*d - 4*c = -0*d + 26, w*d - 3*c - 9 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, u: 4}. What is prob of picking 3 u and 1 n?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*((d**(-6\/5)\/d*d*d)\/d)\/d*d*d**(-21)*d assuming d is positive.\nAnswer: d**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1055516 + 1055513.9959776. Let w = 2.074 + t. Let a = w - 0.07. What is a rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)*q)\/q**(-1\/4)*q**(2\/9)\/q**(-1\/4))\/((q**(-2\/5))**29*q**7*q\/((q*q**(-4)*q)\/q)) assuming q is positive.\nAnswer: q**(-241\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 11*u**2 - 9*u + 10. Let b be i(-10). Let l be (b - -1)*(-5 - 10). What is the units digit of (-4)\/10 + (-141)\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9772 + -0.7772. Which is the second biggest value? (a) -3\/7 (b) -7.76 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.4 (b) -1.72 (c) -0.45 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(405)*-6 + -5 - (-3 + (sqrt(405)*3*1 - sqrt(405)))))**2.\nAnswer: 720*sqrt(5) + 162004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -121100 (base 6) to base 11\nAnswer: -7a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 11*f**2 + 30*f - 11. Let j(x) = -4*x**2 - 2. Let c(s) = -17*s**2 + s - 9. Let p(k) = -6*c(k) + 26*j(k). What is -2*m(z) - 11*p(z)?\nAnswer: -2*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, n: 7, j: 2, w: 3, h: 1}. Give prob of picking 2 w and 2 b.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26202363 (base 7) to base 10.\nAnswer: 2387472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 11*l + 2. Let o be z(-8). Let m = -17 - o. Suppose -s - 18 = m*s. Which is the smallest value? (a) s (b) 0.4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.5919 micrograms to nanograms.\nAnswer: 927591.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 50*z - 583. Calculate k(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**4)\/k**(1\/2))**(15\/2)*k**(1\/5)*k\/(k*k**2*k*k)*k**4\/k*k**5 assuming k is positive.\nAnswer: k**(759\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -399576677*v**5 + 409899463*v wrt v?\nAnswer: -7991533540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 1 = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 3200203?\nAnswer: -3200143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86696.\nAnswer: 2, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - l**5 - 1 + (0*l + l + l)*(2*l**4 - 5*l**4 + l**4) - l**5 + 6*l**5 + l**5.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7050*o - 6915. Let i(u) = 35248*u - 34586. Let c(x) = -3*i(x) + 16*p(x). Differentiate c(y) wrt y.\nAnswer: 7056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.034 - -1.966. Which is the nearest to -1? (a) -0.3 (b) z (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 15 - 20. Let s = -2 - -8. Let g = 12 - 8. Sort g, c, s in descending order.\nAnswer: s, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334010968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 18*s**2 + 11730*s - 59099. Give b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 147 = 21. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1463000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(148\/(-74))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j + 1 - 13*j + j**2 + 4. What is g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 39808567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -20310000 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 28*y - 196. Let p be h(-16). Let d be (20\/p)\/(5*(4 - 5)). Is 1\/79 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -2*f, 95*f = -0*g - 4*g + 100*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let r(s) be the first derivative of s**5\/30 - 3*s**2\/2 + 3. Let v(m) be the second derivative of r(m). What is v(q(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0433 less than -4.615?\nAnswer: -4.6583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -64*z**2 - 4. Let l(q) = 1. What is -4*l(h) - m(h)?\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00387 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15123 (base 10) in base 12?\nAnswer: 8903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 4*d + 1. Let f be a(3). Suppose 4 = f*u + 12. Let z = u + 11. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -4, 5, -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 10) to base 8.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 25. Let h = 24 - t. Let g = 9 - h. Let q(x) = 5*x + 4. Let v(r) = -6*r - 5. What is g*v(u) - 5*q(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 - 3. Let f be (-184)\/1026 - (-74)\/999. Which is the third smallest value? (a) -0.4 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7189 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose -3*t - 13 = -3*z + 4*z, -j*t = -4*z - 22. Let a = z + 6. Sort a, -2, -4 in decreasing order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -138\/7, 1506, -0.4 in increasing order.\nAnswer: -138\/7, -0.4, 0.4, 1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -205*y**4 - 3*y**2 + 132*y. Let w(q) = -205*q**4 - 2*q**2 + 133*q. Let d(l) = -2*r(l) + 3*w(l). What is the second derivative of d(b) wrt b?\nAnswer: -2460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15185, -15200, -15225, -15260, -15305?\n\"Answer: -5*o**2 - 15180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1054*s + 327*s**2 - 3161*s + 1057*s + 533*s**2 + 1051*s + 449*s**2.\nAnswer: 1309*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 0.5168.\nAnswer: 0.4168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/2 - 89*j**2\/4 - 91*j\/4 = 0. What is j?\nAnswer: -1, 0, 91\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 3. Suppose -5*p + 0*p = -h. Let i(z) = 5*z**3 - z**2 + z. Let u be i(p). Solve -k + u = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13.386, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h + 5, 3*a = -4*h + 2210. Find the common denominator of (-109)\/(-20) + -3 + 3 and (8\/(-12))\/((-40)\/a).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 y when four letters picked without replacement from byybyby?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 23*s + 16. Let a(b) = -b**3 - 7*b**2 + 117*b + 872. Let l be a(-8). What is u(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559.1 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2631 = 2*u + 2649 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 667511600 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2775*g - 144 = -2781*g. Solve g*x = -15*x + 234 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92035.44 to the nearest ten.\nAnswer: -92040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 4121486092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25027 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*a + l, -a + 538*l - 540*l - 3 = 0. Solve 0 = -5*r + u + a - 11, u + 6 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(0 + sqrt(14)\/(sqrt(14)\/sqrt(2))*-2)**2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/12 - l**3\/6 - 2*l**2. What is the lowest common multiple of w(3) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 + 15 = 0. Suppose 2*q + 3*y = 2, -2*q = -q + v*y - 1. Let t = 385\/582 + 1\/194. Put q, 3\/7, t in descending order.\nAnswer: q, t, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 + 6 = 0. Let z = a - -9. Suppose 0 = z*b + 2*b - 24. What is the remainder when 16 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is abaf - -5cb?\nAnswer: b17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165168867?\nAnswer: 3, 7, 2719, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + h - 92, 4*h = -2*r - 0*h + 182. List the prime factors of r.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) 0.9 (c) -4 (d) -0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (6 + -4))*10\/(-4). Let l be (759\/(-69))\/((-2)\/10). Calculate the highest common divisor of l and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1340010 (base 5) to base 12\nAnswer: -13b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/45 + 626\/18. Suppose a = -0*a - 2*h + 20, a + 5*h = c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 178*r - 2416. What is g(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssioosioooiisoo. What is prob of sequence ioo?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 228896, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = -5*s, s - 2*b + 1 - 2 = 0. Let c be (-11604)\/2 + 3 + s. Round c to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/36 - r**3\/9 + 4*r**2\/3 + 14*r. Factor i(v).\nAnswer: -(v - 2)*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 - 10965*h**3 + 218367*h**2 - 970755*h + 763350 = 0?\nAnswer: 1, 5, 14, 3635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 31*g**3 + g + 2. Let q be m(-1). What is the tens digit of 190\/q*(1 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**3 - 1 + z**2 + 2*z - 11*z**3 - z**4 in the form g*z**4 + m*z**3 + u + c*z + w*z**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a kilogram in grams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - i - 10 = -2*i, 2 = p - 3*i. What is the fourth biggest value in -5, -1\/4, 0.3, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-54 - -27) + -4 + 3 + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 17.24. Let t = v - -0.76. Let a be 0*(-2)\/4*-2. What is the third smallest value in t, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.926956 years to months.\nAnswer: 47.123472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 59 = 19. Let u(j) = -j + 2. Calculate u(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 152, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2 + sqrt(539) + -2 - 5*-2*sqrt(539))*-4)**2.\nAnswer: 1043499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1290369 and 60927.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5*sqrt(117)*2 - -6*(sqrt(13) - sqrt(26)\/sqrt(2)*-1)) + -3)**2.\nAnswer: 84*sqrt(13) + 22933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/9 (b) 15 (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h)**5*h*(h\/h**(2\/3))\/h*h**(1\/6)*(h\/((h**(1\/4)*h)\/h))\/(h\/((h**(-3)\/h)\/h))*((h**(2\/7)\/h*h)\/h)**(-9) assuming h is positive.\nAnswer: h**(47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 30 = 6*w. Let x = w - 7. Is x\/2*(-892)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5017 - 1.2.\nAnswer: 0.3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333*s**2 + 312*s - 1?\nAnswer: 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 7 - (-20)\/6*6. Suppose -w + 4*u = 2*w - 14, -w + 5*u + t = 0. What is the third smallest value in 1, w, 0.4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/12*(-34 + -2). Suppose 2*t - 3*o + 37 = 2*o, 0 = -3*t - 5*o - 118. Let j = t - a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.09 (c) 2 (d) 230 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 5*u - 3. Let c be z(3). Let f = 2821 - 2871. List the prime factors of (93\/1)\/(5\/(f\/c)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 66.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**4 - 55*t**3 + 163*t**2\/2 + 31*t - 12 = 0.\nAnswer: -1\/2, 1\/4, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 4. Let m = 15035 + -14995. Calculate the remainder when m is divided by g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, -3\/5, -0.07, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 318\/79, 0.1, 0.5 in decreasing order.\nAnswer: 318\/79, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(8*f - 12*f + 15*f)*(19*f - 19*f + 4*f**2).\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*i - 2)*(i**2 - 3*i**2 + 0*i**2) - 20*i**3 + 21*i**3 - 30*i**3 + (-1 + 3 + 0)*(-1 + 1 + i**3).\nAnswer: -31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-776)\/(-240)*(-175)\/210 and -127\/210.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + 2*c, -5*m + c = 0. Let h(k) = m - 282*k + 284*k + 8 + 5. Determine h(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93408 and 4545856.\nAnswer: 13637568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419437 is divided by 127318?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 39 + 15 = 29*v + 5*f, -72 = -2*v - 8*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 27*a - 9. What is o(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 292. Let n = c + -505. Let s = n + 167. Which is bigger: -73 or s?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 103*n - 132*n - n**2 + 2*n**2 in the form u + b*n**2 + c*n and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2)\/(8 + -10). Suppose 2*y + 12 = 5*b, 2*y - b + x*b - 4 = 0. Solve -o - 2*a + y = 17, 2*o + 5*a + 31 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1424 divide 5294354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.328 and -402.6.\nAnswer: -402.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 68 = -0*v. Let d(l) = l**3 + 2*l**2 - 12*l - 11. Let y be d(v). Solve j + 4 = y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i + 5*w + 39, -w = 2*i + 42. Let p = 9 - i. Suppose -b + p = 11. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/14)\/(2800\/139650).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15 - 8\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001463553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3599940 = 3*a + 12*a. Suppose -5*n = -4*q + a, -7*n + 4*n + 4*q = 143996. Round n to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (12 + -29 - 5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 3*g**4 + 2*g**4)*(-76*g - 5*g - 502*g).\nAnswer: 1166*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200210211121220 (base 3) in base 14?\nAnswer: 1482abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000186 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from {j: 1, s: 2, i: 1, k: 1, b: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000161 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/4905 and 229\/34650?\nAnswer: 3776850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 57. Let r(f) = 7*f**2 - 45*f - 76. Let i be r(8). Suppose i*h = o*h - 592. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12980129 minus -90300?\nAnswer: 13070429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 203\/17146170 and 37\/60?\nAnswer: 34292340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, -190, 4 in increasing order.\nAnswer: -190, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41635888, 41635889, 41635890, 41635891, 41635892?\n\"Answer: o + 41635887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/4 + 5721*t**3\/2 + 103365*t**2\/4 - 137667*t + 149097 = 0.\nAnswer: -13, 2, 3823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fktmftfkfkfmt. Give prob of picking 2 m and 1 t.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*b + 451 - 451)*(4*b - 4 + 2 + 1) in the form k + d*b + h*b**2 and give h.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 350\/((0 + 2)\/(-4)). Let x be (-3)\/(-2)*i\/(-5). Calculate the lowest common multiple of 3 and ((-2)\/(-6))\/(14\/x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 30*t + 5*l = 11, -2 = 2*t + 2*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = n + 4. Suppose -h + 5*v = -119, 2*h + 5*v + 416 = n*h. Let p = -66 + h. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6.4. Let c = i + 0.9. Let x = -1.7 + 1.6. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 200 + -130. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 37.0691 years?\nAnswer: 0.0370691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-12 - -19 - (-18)\/(-3)). Factor -2\/7*s**3 + p + 0*s + 4\/7*s**2.\nAnswer: -2*s**2*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19929 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9666 - 7239 = 477*x + 2652 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -301.5*-1236\nAnswer: 372654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 71*w**3 + 3*w + 2. Let v be z(-1). Is 1 - v\/((-3)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -258\/11, -1?\nAnswer: -258\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7 = -3. Suppose -5*u - 171 = -3*a + f*a, a = -2*u - 69. Let s = 66 + u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3010 and 3010?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22022212221 + 1021?\nAnswer: -22022211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 - 84 = 31*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 934391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 4}. Give prob of picking 2 g and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrcrrc. What is prob of picking 3 r and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 5101168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**7\/6 + o**4\/6 - 8*o. What is the third derivative of r(b) wrt b?\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*c - 5, -4*y + 132 = -4*c + 200 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + l)*(-4 + 1 + 1) + (-3 - l + 3)*(-1 + 1 + 2) + 1 - l - 1)*(-7*l**3 + 0*l + 0*l).\nAnswer: 35*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4392365?\nAnswer: 5, 359, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10466 + -4115. Does 105 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-3)*(-8)\/20. What is the second biggest value in 2\/21, -0.5, l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 78, 2, 4.\nAnswer: 0, 2, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5775 and 1549275.\nAnswer: 17042025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 236973 divided by -3\nAnswer: -78991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*y**2 + 11 - 16 - 7*y - 149*y**2 + 14 + 20 as j + p*y**2 + u*y and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23622885 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = q - 15, -z - 757 = -q - 766 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15063\/7 + -2152. Let h = 100\/21 + -76\/21. What is the second biggest value in r, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**8\/336 + 67*c**5\/10 + c**4\/12 - 131*c**3\/6 - 1941*c**2. What is the second derivative of q(h) wrt h?\nAnswer: 20*h**3 + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q**3 - 5*q**2 + 3. Let m be j(7). What is m rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2072 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52952607?\nAnswer: 3, 41, 143503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {j: 2, r: 4, o: 3, c: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*a**4 - 128*a?\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2305 and 54\/43795.\nAnswer: 43795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - 0. What are the prime factors of 4\/16 - 993\/d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 73, 95, 117, 139, 161?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/43)*z\/z**(-1\/29) assuming z is positive.\nAnswer: z**(2479\/1247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 4:15 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6503, 12998, 19493?\n\"Answer: 6495*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -17. Suppose 0 = -g - 2*g + z. Suppose 30*x - 24*x - 66 = 0. Solve -g*f - x + 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5781673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49837692.\nAnswer: 2, 3, 1063, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 3*z + 2. Suppose 2*n + 0*n = 4. Let q be x(n). Solve 2*i**3 + 40*i**5 - i**4 + i**2 - 45*i**q + 3*i**2 = 0 for i.\nAnswer: -1\/4, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19\/4, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(171) + (-6*(sqrt(171) + -1*sqrt(171)) - sqrt(171)) - -3*sqrt(171)*-1)\/(-5*(sqrt(324) - -1*sqrt(324) - sqrt(324))).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (-25 - -35) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*2*-6 - sqrt(304) - (sqrt(304) + (sqrt(304) - ((sqrt(304) - -1*sqrt(304))*-3 - sqrt(304) - sqrt(304)))))*1)**2.\nAnswer: 160816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/6)\/(-7) - 136\/(-264). Suppose z*n**3 + 0*n + 0 - 2\/11*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4777248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w, 2*c = 4*c - w - 27794. Suppose c = n - 5311. Suppose 4*u + n = -4*y, -2*u - 3*y = -0*y + 9606. What is u rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6213 is divided by 283?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2 - 2*-2). Let q be g*(-80)\/6*-3. What is the units digit of q\/4 - (0 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4305*y**4 + 2*y**3 - 78911*y**2 wrt y?\nAnswer: -103320*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63484208 to the nearest integer?\nAnswer: 7968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -575 or -91342\/159?\nAnswer: -575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*r - 3*r. Suppose 0 = -c + 5*c. Suppose c = -9*v + 4*v + 10. Solve r = -f - v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34.3 less than -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(88) + sqrt(88)*-1) - sqrt(88))*-3)\/(-3*(sqrt(32)*-1)\/sqrt(4)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000036143233 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5097332mg in kilograms?\nAnswer: 0.0000005097332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + b - 36. Let m = b - 7. Sort m, -1, -5.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + o - 3. Let l(q) = -5*q**2 + 128*q - 1329. Let m(c) = -2*j(c) + l(c). Solve m(p) = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*t - 128*t - 61*t + t**2 - 1 to the form s*t + n*t**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 84 = -3*o, 4*o - 5*l - 18 = 94. Solve -o = 10*k - 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 - 223. Let x(l) = -l**3 + 8*l**2 + l + 2. Let q be x(o). Calculate the highest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -16. Suppose -v = 4*c - 62. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5006? (a) 0.2 (b) -3 (c) 1\/6 (d) -0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/(c\/(c**(7\/4)\/c*c*c)))))\/c**2)**(-3\/41)*(c**(-3\/2)\/c)\/(c**3*c)*c\/(c**(2\/7)*c)*c**6 assuming c is positive.\nAnswer: c**(-881\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11393788 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 4711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 7:19 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - (9 - 65)) + -33.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccchcchch. What is prob of picking 3 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 9*v - 38. Give p(9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/61465 and -3\/10355.\nAnswer: 6699685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1307 - 62735\/48. What is the third smallest value in 5, -2\/7, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/sqrt(4))\/sqrt(4) + 5)**2.\nAnswer: 10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7939\/32371 or 0?\nAnswer: 7939\/32371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 + 2*d**2 + d - 2. Let c(o) = -o**3 + 7*o**2 - 15*o + 13. Let j be c(4). Let r be x(j). Let n = -5 - -8. Solve n*f - r*f + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1034*l - 140*l - 1537*l - 4516*l - 1220*l as s + h*l and give h.\nAnswer: -6379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**4)\/a)\/a*a\/a**(-3\/8)*a*a assuming a is positive.\nAnswer: a**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 3*z. Suppose -30 = -3*k + 2*d + d, -k = 2*d - 16. Solve z*q + k = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -5 (c) 1.5 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and 5\/10059412.\nAnswer: 20118824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:31 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = 21 - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44847658?\nAnswer: 2, 22423829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 438247.2703 rounded to the nearest 100?\nAnswer: 438200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7.3. Let l = -0.1 + q. Let p = 11\/49 + 3\/49. Put l, p, 0 in descending order.\nAnswer: p, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1728)*-2 + sqrt(1728))**2.\nAnswer: 292032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 14490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 27*u**2 - 25*u + 1. What are the prime factors of s(11)?\nAnswer: 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.7. Sort g, 1, -4 in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 410, 616, 822, 1028, 1234?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14277, 28551, 42825, 57099?\nAnswer: 71373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -601*h**3\/3 + 2077*h**2\/2 - 7*h - 172. What is the derivative of w(z) wrt z?\nAnswer: -1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -51*y**6\/2 + 68*y**3\/3 - 2*y + 204. What is the third derivative of w(z) wrt z?\nAnswer: -9180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -41225?\nAnswer: -41233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 + 451. Suppose 159 = 3*a - h. Round a to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 15*q + 57 to the form x + j*q and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*c**3 + 29*c**2 + 4 wrt c?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15 - d**3 - 743*d**2 - d + 0*d + 740*d**2. Let x = -100 + 95. Let g be h(x). What is the highest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*z = -7, -2*i - 2*z = 2 - 0. Let y = i - -1. What is the second derivative of -12*c**5 + 10*c**y - 4*c + c wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9)*144\/112.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226075392?\nAnswer: 2, 3, 98123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1158 and 0.05.\nAnswer: -57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g + 14*g - 68*g**2 + 6*g.\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.245644.\nAnswer: -0.736932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = 14 + 1 + 53. Sort 3, b, 4, -13 in decreasing order.\nAnswer: 4, 3, b, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 293448 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -6. Is 3 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 16*z**2 + 18*z + 3. Let f be q(17). What is the second derivative of -1036 - r**2 - 2*r**2 + 1036 - f*r wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 47a598?\nAnswer: -47a586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -38. Is -26 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -771? (a) 57 (b) -1.6 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2050*a - 5. Let w(g) = 9*g - 2. Give -u(b) + 2*w(b).\nAnswer: -2032*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 1 + 1 + (-y + 2*y + 0*y)*(-4 + 0 + 5) + 4*y - y - 4*y)*(-19 + 3*y + 19) + 0*y**2 + 2*y**2 + 0*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8.497984 weeks?\nAnswer: 59.485888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 104*t**3 - t + 3*t - 879*t**3 + 778*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 466*a + 24 = 464*a, 0 = 2*a + 10 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.1. Let c(r) = 8*r - 1. Let g be c(-3). Let u be (30\/g)\/((-6)\/(-20)). What is the third smallest value in u, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1074 + -67. What is the remainder when a is divided by 125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b. Let m(n) = 143*n**2 - 2*n - 2. Let y(u) = -283*u**2 + 5*u + 5. Let d(o) = -5*m(o) - 2*y(o). Calculate d(j(l)).\nAnswer: -1341*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30257*m - 1479000 - 1970533 - 181307 for m.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.07945ml in litres?\nAnswer: 0.09407945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = -3*h, -16 + 12 = -5*h + 4*n. Solve -h*u - 16 = -0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -51*x**2 + 21. Let m be 2\/(-10) + 936\/30. Suppose -h + 2*v = -0*v + m, -2*v = -10. Let q(k) = 5*k**2 - 2. Give h*q(s) - 2*w(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 37*a - 6679. Calculate x(-64).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10798284, -43193143, -97184574, -172772577?\nAnswer: -269957152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.766 - 0.234. Let f = g - -62.1. What is the nearest to 0 in f, 2\/13, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -42. Suppose 14*h = -28 + 238. What is the remainder when k is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 - 3*o**2. Let t(m) = 5*m**3 - 5*m**2. Suppose 4*h - 8*h + 5*k = 0, k = -2*h + 14. Suppose -2*c + 5*c = -24. Calculate c*x(u) + h*t(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c - o + 28, 0 = -2*o + 8. What is the units digit of (-100)\/c + (-2)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -4)**2 + 4*(sqrt(2057))**2.\nAnswer: -16*sqrt(17) + 8312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960568 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -221, -225?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272160989 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20575, -82288, -185139, -329128, -514255, -740520, -1007923?\nAnswer: -1316464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-8 - -7)*(-2)\/(-2). Suppose -3*t + 90 = q - l*q, -4*t = q - 135. Let a = t - 20. Solve -1 = 4*d - a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)*-6)\/(-6*(sqrt(6) + sqrt(24))).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13471371*h**4 + h + 2302065 with respect to h.\nAnswer: 53885484*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -98, -195, -356, -599, -942?\n\"Answer: -3*m**3 - 5*m**2 - 15*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2195*u + 2138*u + 2131*u + 2133*u + 2127*u - 12855*u + 2133*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2630025 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -63. Suppose -2*p + 0*p - 34 = 0. Let k = p + d. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 + 157*f**4 - 69078*f**3 - 23560*f**2 + 230400*f = 0. What is f?\nAnswer: -180, -2, 0, 5\/3, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (0 - 4) + 0. Let g be ((-1216)\/(-126) - z\/(-9))*7. Let y be (40000\/(-24) + 0)*g\/4. Round y to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/9 - (-662040)\/342468*7\/(-15).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three quarters of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35313 (base 6) in base 2?\nAnswer: -1001111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 2430. Let t = 4215 + -4211. Suppose 4*w = i + 491, 0 = t*w - i - i - j. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 - -175. Let a = 1 + z. Suppose 2*t = 26 + 30. Solve 0*h - a*h + 5 = 5*j, 5*h - t = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 244669143?\nAnswer: 2446691430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9260*m + 15887. Let v(j) = -15*j - 8. Let y(b) = -t(b) - v(b). What is the derivative of y(u) wrt u?\nAnswer: 9275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-21)*-3 + 13. Solve q = 6*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -199 or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:49 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*r - 3, -7*r + 8 = s - 4*r. Which is smaller: -29\/4 or s?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*v - 22, -18 = -0*u - 2*u - 3*v. What is the remainder when 10 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -35 + 14. Solve -3*a + 3*p + 5 = 2*p, -25 = -s*a - 4*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 3*t - 25 - 19.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/33*((-50895)\/58)\/65?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 3, m: 1, n: 1}. Give prob of sequence mn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snsnsnsssssssss. What is prob of sequence nnns?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, -36\/61, 18\/767?\nAnswer: -36\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431041485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4733421801 to five dps.\nAnswer: -0.47334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - 3*(sqrt(152) - (-1*sqrt(152) - sqrt(152)))))\/(sqrt(256)\/sqrt(2)).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -8, 0.1 in increasing order.\nAnswer: -8, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -114 and -13.649.\nAnswer: -127.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104.23 - -12.57. Let v = s - 117. Let a be (12\/(-15))\/(1\/(-5)). What is the closest to v in -8, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2233, -2234, -2235, -2236, -2237?\nAnswer: -2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**5\/20 + i**4\/12 + 13*i**2\/2 - 109*i - 2. What is v(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*z = -3084 + 3064, -5*z + 16 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 32. Suppose -24 = -5*a + y. Let x(g) = -5*g. Let l be x(-9). What is the highest common factor of l and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 32*a + 4. Let g be u(1). What is the highest common divisor of 24 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:48 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -6*s**4 + 1850*s**3 - 34044*s**2 + 149880*s + 115600 = 0?\nAnswer: -2\/3, 10, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -158, 2, -4, -7.\nAnswer: -158, -7, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 103 = 137. Let i be (-35)\/7*(-4)\/10. Solve i*v - m = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*r - r + 20, 3*r + 2*j = 22. Suppose 4*o = r + 6. List the prime factors of (-1)\/(-1) + 7 + o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27255147.\nAnswer: 3, 107, 197, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 2*a**7\/105 - 3*a**3\/2 - 6*a**2. Find the first derivative of h(f) wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -119*k + 5\/12*k**4 + 141\/2*k**2 + 5\/6*k**3 + 0. Differentiate f(u) wrt u.\nAnswer: 10*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16225 divided by -23196?\nAnswer: -16225\/23196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*i - 28*i + 42*i - 133*i - 436*i to b + t*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q + 17*q + 15*q - 4*q - 50*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 465 = 17*m. List the prime factors of m.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2834006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -271 (base 14) to base 15\nAnswer: -22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) 2\/9 (b) 4 (c) 5 (d) 2 (e) -202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 - 14. Let w = h + 164. Solve -8*q - 3 = -w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, 1 c, and 1 w when four letters picked without replacement from cwyaackwwawakwwcy.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3040.000001899 - -3040. Round y to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2)\/3*(-9)\/(-2). Suppose 4*v - 413 = -r*o, 4*v - 2*o - 418 = -4*o. Suppose 3*n - 4*f - 201 = 0, -3*f + 136 = 4*n - v. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31861432511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 7*q**2 + 45*q**2)*((-2*q + 3 - 3)*(3 - 4 + 2) + 1 - 1 - 2*q - q - q + q + 10 - 10*q - 10 + 3 - 3 - 2*q).\nAnswer: -697*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - -2. Let s be (3\/6 + 0)\/(q\/(-48)). Let w = -19 + 13. Sort 4, s, w in descending order.\nAnswer: 4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) 1.6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 456*h**2. Let y(a) = -17*a - 12*a - 15*a - 10*a + 56*a. What is y(x(j))?\nAnswer: 912*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*k = 32 - 6, 2*l - 25 = 5*k. Solve -9 - 11 = l*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 - 1 - (-59)\/118. Let g(y) be the second derivative of 1\/39*y**3 - 1\/78*y**4 + n*y**2 + 0 - 7*y. Factor g(u).\nAnswer: -2*u*(u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 12 = -7*c. Suppose -14 = -c*w + 18. Solve -h + w = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkjkkjkkjkjjjj?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78.8967 + 30.\nAnswer: -48.8967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 12 - 12 + w**3)*(2 + 0 - 1) as c*w**3 + d*w + a*w**2 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10167 - 11?\nAnswer: 10156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 2*i**2 + i**2 - 2*i**4 - 5*i - 3 to the form r + c*i + b*i**4 + t*i**2 + a*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -9*(-15)\/(-100). Let o = 303\/220 - v. Factor -o*n + 2\/11*n**2 + 8\/11.\nAnswer: 2*(n - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -159, -177, -195?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5 - 25395*w**4 + 581185*w**3 + 1289395*w**2 - 581190*w - 1264000 = 0.\nAnswer: -2, -1, 1, 25, 5056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 251184?\nAnswer: 251200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00129126 to 5 decimal places.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1460*n - 5*h + 15 = 1460*n, 0*n + 37 = -5*n + 4*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p + 0*p**3 - 1 - 1\/2*p**2 + 1\/2*p**4. Give f(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 + -0.22. Let a be (-2)\/72 + 2\/(-9). What is the nearest to a in c, -3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20080, 20079, 20078?\n\"Answer: -y + 20081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/3 in -0.3, -0.185, -0.034?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*((-336)\/(-660))\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 1, m: 6, z: 1, i: 4, b: 4}. What is prob of picking 2 b, 1 l, and 1 o?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*p + 2 - 4, -4*p - 7 = -5*w. Let k = 42 - 30. Let j be k\/54 - 4\/18. Solve c + 24 = 5*i + 5*c, p*i + c - 9 = j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*u - 29 - 145*u - 147*u + 20 + 9.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*l + 8. Suppose 0 = 3*p - 2*h - 2, -6 = -2*p - l*h + 8. Solve p*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 748 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3 = -5*w + 2, 0 = 18110*u - 18112*u + 4*w - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:17 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - z**2 + z. Let y = 0 + 0. Suppose 9 = -3*f, y = -4*v - 5*f - 10 - 13. What is the smallest common multiple of 10 and k(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-240))\/(21\/98)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145993 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1207\/391 - (-15)\/((-2760)\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 2*k + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*h = -3462, 2*h = 8*i - 11*i + 5197. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s + 68. Let v be o(6). Suppose -4*p + v = -2*p. Solve -j = -k - p, 4*j - k + 3 = 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-14) - 28\/(-49))\/((-477)\/(-6))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*o**5 - 51*o**4 - 9*o**3 + 38*o**2 - 52*o + 2?\nAnswer: 540*o**2 - 1224*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4412536 divided by 2206268.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:47 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + 2.4. Let d = -4.9 + 0.9. Let o = r + d. Which is the nearest to o? (a) -4 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 5. Suppose -3*z + 8 + 7 = 0. Let i be 2 - 0 - (-3 + z). Calculate u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*l - 2880, -4*d + 3*l + 2967 = 87. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/1092*(5\/3)\/(282\/5922).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 58 = 3*w, -w + 5*w = -8*g - 1784 + 1872 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 - 3. Let n be w(2). What is the nearest to 6 in 4, 2, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/5 - 76492*c\/5 + 5777552 = 0.\nAnswer: -38620, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2214828 milligrams in nanograms?\nAnswer: 221482.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 + 19 = 0. What is the tens digit of 225\/d*(-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgsfsuspffufpppgf. Give prob of picking 2 s and 1 f.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, -192204 in ascending order.\nAnswer: -192204, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) 102\/7 (c) 0 (d) 1\/8 (e) -1\/5 (f) 0.01 (g) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3632)\/11804 + (-97)\/65\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2789 - -2843. Calculate the greatest common factor of 57 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxxfffxfxx. What is prob of sequence xffo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 19*w**4\/4 - 43*w**2\/2 - 50. Let v(x) = x**3 + x. Let q(m) = 3*v(m) - y(m). Find the second derivative of q(i) wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 - a**2 - 3*a + 2. Suppose 6*p = 10*p - 4. Let y be t(p). Suppose 0 = -s - 4*m + 162, -y*s + 125 = -5*m - 481. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (-2 - -3) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h - 5 + 5)*(-13*h**2 - 1 - 3*h - 7*h**2 + 22*h**2) as k*h + u + a*h**2 + o*h**3 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*z - 40 = 71*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Let w(y) = -3 + 2*y + d + 0 - 3 + 2*y**2. Let g = -6 + 4. What is w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12168489.\nAnswer: 3, 991, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 11265*g + 41804568.\nAnswer: -3*(g - 6056)*(g + 2301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 798*y**2 + 7*y - 8. Let h be q(2). Suppose 2*r - h = -2*x, 5*x = -5*r + 9*x + 7977. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 6, z: 6, u: 5}. What is prob of picking 1 q and 1 u?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + s, -4*o - 11 + 35 = 5*s. Suppose 4*d - 3*i = 3*d + 2322, 5*d - 11610 = -i. Does 41 divide d\/18*(o - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280365 is divided by 93448?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*q + 616 = 1942 + 334 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226849134*g**2*i**3 - g**2*i + 2*g**2 - 2*g*i**2 - 6*g*i - 4*i**2 + 43544*i wrt i?\nAnswer: -1361094804*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/5 of a millennium?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1\/7 (c) -1\/3 (d) -1\/28 (e) 0.30269 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*r + 2*y, 12 = 177*r - 175*r - 3*y. Calculate the remainder when ((-178)\/(-3))\/((-3)\/(-9)) is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7012\/9 - 779. Which is the third biggest value? (a) -1 (b) 0.17 (c) w (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t - 1. Let n(p) = -7*p - 150 + 3*p + 167 + 5*p**2 + 2*p**3. Let h(m) = 4*b(m) - n(m). What is the first derivative of h(w) wrt w?\nAnswer: -18*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**9*(v\/(v\/v**(-4\/3)))\/((v\/v**(-10\/11))\/v*v*v))**(-3\/17) assuming v is positive.\nAnswer: v**(437\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:54 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4271*f + 375822. Give n(-88).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 13*k + 17. Suppose o + 8 = -4*d, -3*o - 14 - 10 = -3*d. Let p = o + -5. Is 17 a factor of i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 - 4*x. Let z(p) = -p**2 - p. Let q(c) = -g(c) + 4*z(c). Let a(i) = -83*i**2 + 26*i**2 + 23*i**2 + 24*i**2. Calculate q(a(k)).\nAnswer: 200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 156895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2\/13, -0.34, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559161?\nAnswer: 1559161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*n - 4480 = 156*n. Let c = 26 + -7. Suppose n = c*g + g. What is the remainder when g is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13542382.51099911 + 13542455.511. Let c = 73 - q. Round c to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -0.0709?\nAnswer: -0.2291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1025, 1401, 2027, 2903, 4029?\n\"Answer: 125*j**2 + j + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210380 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5 + 9. Let j be (-10)\/(-35) + 677\/b. Let p(s) = 97 - s**2 - j. Let o(z) = 12*z**2. Give p(o(a)).\nAnswer: -144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 (base 12) in base 11?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-711)\/2684 + 10\/40. Let i = 23605\/8052 + c. What is the common denominator of i and -63\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (-21 - -4 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2953108*d. Let g(q) = q**2. Give i(g(j)).\nAnswer: -2953108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 5*x + 1. Let p be w(-4). Suppose 1 = v + p. Let a(i) = -2*i**2 + 6*i - 3. Let s be a(3). Sort s, 2, v in ascending order.\nAnswer: v, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*b**2 - 17*b**2 - 15*b**2 + 2*b + 3 + b + 7*b**2 + 2*b**3 to the form f*b + a*b**3 + p + h*b**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -347, -771, -1365?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2 + (55 - 50). Sort 2, 7, -5, z in ascending order.\nAnswer: -5, 2, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15600, 9, 1 in ascending order.\nAnswer: 1, 9, 15600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-24))**31*(t*t\/(((t*t**(-4\/5)*t*t)\/t)\/t*t))**(-21) assuming t is positive.\nAnswer: t**(-3804\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846320 divided by 1192.\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4\/(-4)) + (-8)\/2. Which is bigger: -2\/7 or n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5140 (base 9) to base 2\nAnswer: -111010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/7, 856, -0.3, -1.2 in increasing order.\nAnswer: -1.2, -0.3, 2\/7, 0.3, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -23. Let o(c) = -c**2 - 3*c - 2. Let i be o(-2). Suppose i*l + b = l. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1565006?\nAnswer: 2, 47, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 435 and 75516?\nAnswer: 377580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*h, 3*h - 11*t = -16*t. Which is bigger: 164 or h?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10396 divided by -23.\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4308158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/30 + ((-2)\/3 - 11\/(990\/471)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-27))\/1)\/(8\/(-16))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:18 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*x - 1337 + 1337 + (2 - 2 - x)*(3 + 0 - 5) + (-3 - 1 - 1)*(2*x - 3*x - 2*x) + 4*x - 5*x + 3*x in the form u*x + j and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18075549?\nAnswer: 3, 823, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from zgzgkkfgggkgkkgzgg?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, and 2 o when four letters picked without replacement from {x: 1, f: 1, r: 4, o: 2, a: 5, t: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3491712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhhmhhhhhhhhhmhhmhh. Give prob of picking 3 h.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 456.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwhwhhwwhhhwh. What is prob of picking 2 h and 2 w?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1128171, 1128336, 1128501, 1128666, 1128831?\nAnswer: 1128996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -78261?\nAnswer: 78250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9645.\nAnswer: 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2581*g**2 + 35 - 2571*g**2 - 2527*g + 2527*g.\nAnswer: 10*g**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*l = 5*l + 2, 5*l = -3*k + 19. Let g be 1\/k*18\/4. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2023 and 833833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 9*b - 9. Suppose -4*o = 2*g + 26, 0 = g - 2*g + o - 16. Let f(z) = -z - 8. Calculate the remainder when t(12) is divided by f(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7403 divide 3482053555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -301863 (base 14) in base 12?\nAnswer: -660327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-56))\/(9\/(-24)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16693392 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13\/3))**(-1) assuming r is positive.\nAnswer: r**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z - 85*z - 40*z = 36*z - 12444 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 16. Suppose 4*v - z*t + 13 = 83, 2*t + 53 = 3*v. Let k be (-4)\/6 + 118\/6. What is the highest common factor of k and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + c**3 + 2*c - 34*c**3 + 37*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 70. Let n(r) = r**3 - r**2 + r + 7. Calculate n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*v - 10 = 4*s, 4*s - 4*v = -8. Let l(h) = -h**2 - h + 54. Let t be l(s). Suppose -t = -b + 7. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4101*p - 4103*p - 13, -h = p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 39*l + 6. Let i be t(14). What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5551?\nAnswer: 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13832*w - 1393002 = -1926*w for w.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b - 1283 - 586 = -21 - 396 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, 180, 2, 1 in ascending order.\nAnswer: -1, 0, 1, 2, 4, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 6, 2, -2, -6, -10?\n\"Answer: -4*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(56)\/sqrt(4))\/sqrt(2) + sqrt(112) + 1 + 5)**2.\nAnswer: 72*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 4:39 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + (sqrt(26)\/sqrt(2))**2) - (sqrt(26)\/sqrt(2) + -5)) + 1.\nAnswer: -46 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, -70, -149, -162, -109, 10, 195?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157\/305 - 7\/61. Let a be -1 + 4*52\/80. Let d*s**2 - 6\/5*s - a = 0. What is s?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 2848*x**2 - 5890*x + 504. Differentiate k(q) with respect to q.\nAnswer: 5696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 0.5 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 26 (b) -7\/752 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3842, -1107 in increasing order.\nAnswer: -3842, -1107, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*n - 11 = 0, 4*s = 2*s + 3*n + 7. What is the derivative of -148*v + 148*v - 30*v**s + 30 wrt v?\nAnswer: -60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -1000110001011011100?\nAnswer: -1000110001011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -170*s**2 + 267*s + 3. Let i(b) = 139*b. Determine z(i(k)).\nAnswer: -3284570*k**2 + 37113*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 - -157. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1247 and 38483.3.\nAnswer: 38483.4247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5112900 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 3*x**2 - x**2 + (-4*x + 2*x + 4*x)*(-1 + 2*x + 1) + (1 - 2 - 1)*(2*x**2 - 2*x**2 - 4*x**2).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*1050\/(-25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away -1.7596532?\nAnswer: 1.8396532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7356476.\nAnswer: 2, 859, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 13*n - 8. Let a be z(11). Suppose 0 = -5*l - 3*y + 49, 2*y + 0*y - a = -l. Let u be ((-6)\/(-4) + -1)*l. Solve -u*s = -s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b*b*b*b*(b*b*b**(-9\/8)\/b)\/b)\/b*b)\/(b**(-1\/4)*b) assuming b is positive.\nAnswer: b**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - s**2 + 131 - 131 - s - 3*s**4 as i + d*s**4 + p*s**2 + c*s + m*s**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62004 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185057 is divided by 154?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*(30 - 1). Let p be 12 - 9 - g\/10. Suppose 0 = -236*h + 40 + 85 + 347. Which is the nearest to h? (a) 4 (b) p (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -523427?\nAnswer: -6\/523427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/26298 and 23\/31530.\nAnswer: 138195990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -37*o**4\/24 + 309*o**2. Let d(v) = -4*v**2. Determine l(d(h)).\nAnswer: 148*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29076.61g to micrograms.\nAnswer: 29076610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/5 + 28*y**3\/5 - 237*y**2\/5 + 378*y\/5 + 1944\/5.\nAnswer: -(y - 12)*(y - 9)**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6170 and 3841930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/689 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 606116 and 868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a3 (base 13) in base 6?\nAnswer: 25014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011010000011001100 (base 2) in base 15?\nAnswer: -2329ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -28 + (32 - 17)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 - -15 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(0 - 3 + 1)*(-2*s - 2*s + 2*s)*(224*s + 120*s - 132*s).\nAnswer: -1696*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 22. Is a(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -895843 divided by -68911\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2 - (0 - 4)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 53. What is the remainder when 54 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(90))\/sqrt(10))\/sqrt(3))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 22*p + 1276420 = -5*k, -p + 2*k = 319092. Round p to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9658 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*n, -4*n - 5*j + 0*j - 12 = 0. Let r be 1 + (12\/6)\/(4\/n). Solve 3 = -t + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)*(-18 - -29). Let h = 9 + m. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 + 0*o**2)*(-o + o - o) + (5*o - 5*o - 2*o**2)*(0*o + 4*o - 3*o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(5\/4)\/z))\/z*z*z**2 assuming z is positive.\nAnswer: z**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(20)*1)\/((-1*sqrt(30))\/sqrt(3)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l*l**(2\/9)))**(-35))**(-44))**(-2\/101) assuming l is positive.\nAnswer: l**(33880\/909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - j - 4 = 0, 44*j = 6*m - 17*m + 91*j - 49*j - 23 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q - 95. Let x be b(5). Let y(h) = h**3 + 10*h + 3. Let j be y(x). Solve -4*t + j*o = -23, 2 + 13 = -3*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 144. Suppose 5*b - 20 = -2*w, 4*w + b - 4 = 18. List the prime factors of (-9630)\/p*(-2)\/w.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70752 rounded to the nearest 100?\nAnswer: 70800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(8*u + 450 - 214 - 271) as y*u + k and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-5\/3))**(6\/7)*w**28\/(((w*w*w*w**(-18)\/w*w)\/w)\/w*w) assuming w is positive.\nAnswer: w**(310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -28*g - 38. Let x be z(-9). Is 214 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14078663 rounded to four decimal places?\nAnswer: -0.1408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkktcwttmcmbbtcmbtkm. What is prob of sequence kwbk?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 78*o + 461. What is the remainder when p(72) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11146 is divided by 506?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*r = 39, -2*z - 5*r + 4 = -7. Let f(g) = -5*g**3 - 4. Let t = -4 - -8. Let b(w) = -3*w**3 - 2. Give t*f(s) + z*b(s).\nAnswer: s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 345395257 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 22 = 45*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueeeuuluhueue. Give prob of sequence lhe.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Let w = 7 - q. What is the third derivative of -3*o**3 + 2*o**w + o**2 - 2*o**3 wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1074, -6584, -21612, -50940, -99350?\nAnswer: -171624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -944.1 - 8.9. Let y = 903.1 + f. Round y to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 59329696*q. Let a(o) = -4*o. Give b(a(w)).\nAnswer: -237318784*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(0*x**4 + 4*x**4 - 2*x**4) - 3*x**4 + 4*x**4 + 0*x**4 - 2 + x**4 + 2 + x**4 - 2 + 2 - 1269*x**4 - 1256*x**4 + 2322*x**4.\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/2 + 23*i + 24. Let h(y) = 113*y + 2. Calculate g(h(l)).\nAnswer: -339*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -90. List the prime factors of 1*((o - 1) + 674).\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1778.1 to the nearest ten.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6740 + -6675. Calculate the highest common divisor of m and 6006.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0) + -1 + 2. Suppose -90 = -0*d - r*d. What is the highest common divisor of 12 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (8 - 30) - (0 + (5 - -2)) - -8.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20495 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 15) to base 4\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980*p**5 - 1900682*p**4 + 2909988*p**3 + 4601066*p**2 + 1739240*p + 201864 = 0. What is p?\nAnswer: -1941, -1\/2, -2\/7, 13\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 12565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -98*t**4\/5 - 476*t**3\/5 - 746*t**2\/5 - 408*t\/5 - 72\/5 = 0.\nAnswer: -2, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04305392 rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {b: 1, p: 1, k: 2, t: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011001100110000011 - 101?\nAnswer: -10001011001100110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - 1366)\/((-4)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -15 + 105. Let a = 10 - u. Suppose 5*f - a = 20. Solve 3*l = f - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - b**2 + 0*b + (0*b + 0*b + b)*(-10*b - 9 + 9).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(sqrt(1008) + 0) - ((1*sqrt(21))\/sqrt(3)*-5 + 4))**2*-2.\nAnswer: -23536 + 164*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 889128139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 0. Which is greater: k or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35149633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1656)\/(-27) + (-2)\/(-3). Suppose -3*z + q = -b, 4*q - 104 = -3*z - z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:35 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)\/(k**(3\/4)*k))**(-7) assuming k is positive.\nAnswer: k**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 132220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/2875 and 59\/375?\nAnswer: 8625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 18. Let r be n(13). Let q(z) = -z**3 - 7*z**2 - z - 5. Let g be q(-7). Suppose -2*d = -l + g + 4, 2 = 5*l + 4*d. Solve 0 = -l*j + j - r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 60296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p**(-2\/9)\/p)\/p*p)**(2\/173)\/(p**(-36)\/p**26) assuming p is positive.\nAnswer: p**(96548\/1557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11750396 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 + 20*z**3 + 118*z**2 + 180*z + 81.\nAnswer: (z + 1)**2*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = -3*q + 43, 0 = -5*q - 3*y + 88. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2653 to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4500847 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z + 149 = 2*a, 0 = -3*a + z + 226. Suppose 5*q - 89 = -2*p + 31, -q + 5*p = -51. What is the remainder when a is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105.8269 + -106.51. What is y rounded to two decimal places?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 30, 1, 8, 0, -4 in increasing order.\nAnswer: -4, -1, 0, 1, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:50 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*m**2*p - 19*m**2 - 124*p wrt m.\nAnswer: 18*m*p - 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {c: 2, g: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 3:02 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (125 - 52*q**2 - 94*q**2 - 124)*(0 + 1 - 3)*(11 - 4*q - 11) in the form k*q**3 + j + l*q**2 + t*q and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.905 + -22. Round w to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.9977 + 42. Round h to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) - (2 + (-194)\/18). Suppose -2*o + q*o = 7. Which is bigger: -1\/57 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k + k**2 - 2*k + 2*k)*(1 + 3 - 2) as o*k + h*k**2 + c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 323969*l\/2 + 16365535.\nAnswer: -(l - 324070)*(l + 101)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p - 45. Suppose -8 = -u - h, 0*h - p = -3*h. Suppose -n - 8 = -u*n. Solve -2*w = -n + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33930507 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 3\/10*t**5 + 1\/2*t**4 + 0 + 1\/3*t**3 + 0*t**2 + t + 1\/15*t**6. Factor a(p).\nAnswer: 2*p*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49793524?\nAnswer: 2, 11, 1131671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 11. Let h be s(-8). Let b(l) = 3*l. Let r be b(-1). Let y be 0\/(-1 - (-2)\/1). Sort h, y, r in increasing order.\nAnswer: r, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 - 7*w + 5. Let n(i) = -2*i - 6. Let g be n(-7). Let a be c(g). What is the derivative of 3*j**2 - 5 - 3*j**3 + a*j**3 - 3*j**2 wrt j?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/((a\/(a**6\/a))\/a)))\/a**(-9)*a**(2\/3)\/(a*(a*a*a**(-2\/17)*a)\/a)*a*a*a**1*a*a*a**(-5)*((a\/(a*a**(3\/2)))\/a)\/(a**(-4\/5)*a) assuming a is positive.\nAnswer: a**(43\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.00000068 + 44. Round v to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24293681039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 4, 2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 + 102. Let d = -11 - 43. Let x = d - o. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 2*w - 5 - 3*w + 143*w**2 - 133*w**2 - 5*w**5 + 10*w**3.\nAnswer: -5*(w - 1)**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/j**(-2))*j)\/j)**(11\/5)*j**(2\/5)\/j**7 assuming j is positive.\nAnswer: j**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(20))*5.\nAnswer: 20 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (3*sqrt(3) + 3)) + 3 + 4)**2 + -4*(-3 + sqrt(3) + -1 + 4))*-5.\nAnswer: -140 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 69*p - 405. What is the least common multiple of x(6) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 274738*k + 274738*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 52 = -v, 156 = 3*v + 4*x - 9*x. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 9*p + 86. Let u be n(8). Which is smaller: u or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 7) in base 14?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 460218643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 1, q: 3, p: 1, f: 2, w: 5}. What is prob of sequence nf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1574 and 717.\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 60. Suppose -n*f = -10*f - 35. Suppose 0 = f*u + 5 - 19. Solve -1 = -u*a - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 844 and 48?\nAnswer: 10128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047297156 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 7*m - 255. What is the remainder when m is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 683 - 181 + 1307*v**4 + 306 wrt v.\nAnswer: 5228*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.99738844 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1203*b**2*f**3 - 2*b**2*f**2 + 9*b**2 - 3326*b*f**3 + 6*b*f**2 - 13*b + 32*f - 2 wrt f?\nAnswer: 7218*b**2 - 19956*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 4*k + 588 = 0, -2*k = y - 150. What is the highest common factor of y and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*v + 121*v + 547*v + 112*v - 15012 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 865350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32940874 to the nearest integer?\nAnswer: 5739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63.9 - 67. Let x = k + 3. Let i = 7 + -6.8. Which is the nearest to i? (a) x (b) 2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14157\/858*4\/(-18).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**4\/12 - 2*j**3\/3 - 46*j**2. Let p(t) = -3*t - 5. Let y(k) = k**2 + 10*k - 15. Let z be y(-11). Determine z*f(x) + 3*p(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16826, -33652, -50478?\nAnswer: -67304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) 1.247 (d) 2\/13 (e) 1\/7 (f) 0.11 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1053) - (-1 + -2*sqrt(1053))))**2 + (-3*(sqrt(104) + 1*sqrt(104) + sqrt(104)))\/(-1*sqrt(24)\/sqrt(3)))*-5.\nAnswer: -47405 - 585*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -15 + 10 + (3 - (-1 + 2 + -7))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**7)\/(h**0\/h)*h**12*h**21 assuming h is positive.\nAnswer: h**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340096589?\nAnswer: 7, 43, 1129889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24086.\nAnswer: 2, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/16)\/(21\/(-8) + 3). Sort 3, 6, u in descending order.\nAnswer: 6, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1890 - -15171\/8. Suppose 2*i + 4*i = 36. Which is bigger: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1232)\/(-4312) - (-92)\/70)\/(1\/(-70) - 0)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39127 (base 10) to base 8.\nAnswer: -114327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + b**2. Let c = -9 - -9. Let q be y(c). Let o be 2 - (-2)\/((-60)\/63). Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*h = -80 + 88, 0 = -6*j - 12*h - 24 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*a + 5*j - 21, -2*j + 4 = 2*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 58*t + 53. Determine o(-19).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -7*x - 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 227780 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 8 - 2 - 5*h**2 + 36.\nAnswer: -5*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/5167 + 25859\/20668. What is the closest to 2\/3 in 1\/3, y, -28, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 160*c**2 + 156*c.\nAnswer: 4*c*(c + 1)*(c + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 195 = -7*y - 5*d, -156 = -4*y - d. Let w = -11 + 15. Factor 2*b**2 + 2*b**w - 4*b**2 + y*b**3 - 39*b**3.\nAnswer: 2*b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61514 is divided by 69.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = 15, 2*g - 2*z = -16. Which is the nearest to 0.2? (a) 17 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -42. What is the remainder when o is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*(-235)\/(-141).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1433 + 51?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1897*r + 1906*r + 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 41. Let u be h(-13). Let m = u + 7. What is the highest common factor of m and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10145070 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -939 - -943. Solve -c = -u, 3*u + 0 = 4*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3\/8 - 166*f**2 - 82647*f\/8 - 582471\/4 = 0.\nAnswer: -27, 1598\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j + 0 - 24\/5*j**2 + 4\/5*j**3.\nAnswer: 4*j**2*(j - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -72. Solve -4 = 4*x + 3*s - 0*s, r*s - 4 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2. Let p(r) = -r**2 - 424*r + 57. What is p(x(n))?\nAnswer: -4*n**4 - 848*n**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Is (185\/b)\/5*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21610292 - -190344.83.\nAnswer: 21800636.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.23 + 70.23. Sort 5\/3, u, 4, 0.4, 0 in ascending order.\nAnswer: 0, 0.4, 5\/3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/360 + 13*s**5\/120 + 5*s**4\/3 + 6*s. Let r(f) be the third derivative of z(f). What is the derivative of r(q) wrt q?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**9\/n)\/(n*n*n\/(n\/(n\/n**9))))\/(n\/(n**(1\/7)*n))**(-3\/5))**(7\/6))**(-17) assuming n is positive.\nAnswer: n**(-8279\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 + 5*r**2 + 5*r + 5. Let s(j) = -2*j**3 - 4*j**2 - 3 + 0*j**2 - 1 - 4*j. Let f be (1368\/42)\/(-6) - 420\/(-294). Give f*y(u) - 5*s(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 60*b + 13. Let y(f) = -4*f + 14*f + 4*f + f + 3. Give -2*h(w) + 9*y(w).\nAnswer: 15*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -4, -381, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85985521?\nAnswer: 37, 107, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0 + 5 + 2 - 2 - 6*t + 5*t**2. Let r(z) = -21*z**2 + 24*z - 21. Suppose 2*m - 13 = 5. Let g(c) = m*a(c) + 2*r(c). Factor g(q).\nAnswer: 3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-5\/14))\/b*b**35*b)\/(b\/(b\/b**(-3\/19)))**(2\/53))**49 assuming b is positive.\nAnswer: b**(3588529\/2014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3024)\/(-14))\/(-12)*(-8)\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {o: 6, e: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339739 is divided by 1164?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589.35m to nanometers.\nAnswer: 589350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16307 and 69.\nAnswer: 48921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*w = -3, -5*x - 2*w + 18 = -4. What is the least common multiple of 2\/4 + x\/8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1.26.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnndddnnn. Give prob of picking 2 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2109 and 28954461.\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 339411*b - 33764.\nAnswer: 339411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 19*b**2 + b - 8. Let o be s(19). Let i = -20 + 20. Put o, 3, i, 4 in descending order.\nAnswer: o, 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.88 + -7.88. Which is the nearest to 2\/7? (a) 18 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 9*m - 1790 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*l + 880*l = -21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r**4 - 514*r**3 + 4690*r**2 - 15350*r + 15000 = 0. What is r?\nAnswer: 12\/7, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + z + 2. Suppose -5*g = 3*g - 48. Let l be 8\/g*(2 + 2\/(-4)). Suppose 6*b - 3*t = 3*b - 18, 0 = l*b - 4*t + 18. Determine y(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -5 - 4)*0. Solve -4*p - 2*t + 28 = -k*t, 3*p + 5 = 5*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/31 (b) -38 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.022 - 7. Let c = w - 0.21. What is c rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15 - 12 - 217*n**3 + 234*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*s - 7. Let j be -2 + 9\/s + (-9605)\/(-25). Let z = j - 1133\/3. Calculate the common denominator of -17\/169 and z.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 155208*z - 59*z**3 + 4.\nAnswer: -59*z**3 + 155208*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -2*sqrt(78)*6 + (sqrt(78) - (-5*(sqrt(78) - sqrt(78)*-2) + sqrt(78))))\/(sqrt(36)\/(sqrt(384)*-2 + sqrt(384) - sqrt(384))))**2.\nAnswer: 53248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 1660*n + 137780.\nAnswer: 5*(n + 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a = 100. Let x = a + -7. Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**6\/360 - q**5\/120 - q**4\/12 + 2*q**3\/3 + 2. Let c(z) be the third derivative of m(z). Determine c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 3555?\nAnswer: 11\/3555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2912 and 23\/6.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/9 + (-185)\/(-15). Let p(j) = 7*j**2 + 5*j - 19. Is p(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 + 2. Let p be (-4 + 55\/15)\/(526\/1578). Which is the nearest to j? (a) 8 (b) p (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-2))\/((-3)\/6). Let r(c) = 11*c**2 + 2*c + 8. Let q(x) = -x + x + 5 + x + 7*x**2. Give o*r(a) - 8*q(a).\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - (-16490)\/(-255))*-3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157045 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2*(21 + -11). What is the second derivative of -5*j**4 + k*j - 34 + j**2 - 21*j + 10*j - 6*j**2 wrt j?\nAnswer: -60*j**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1 - (-3)\/6). Let l(y) = -y - 3. Let u be l(-1). Let x be (-10)\/(-3)*(-12)\/10. Sort m, x, u.\nAnswer: x, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 88.9917.\nAnswer: 89.0917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x - 5 = 0. Let k(m) be the second derivative of 689*m**5\/20 + m**4\/6 - m**3\/6 - 2*m. Let y be k(x). Round y to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 38*g - 4.\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 216*0.17\nAnswer: 36.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805 divided by 1.\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/462 and 129\/64911308.\nAnswer: 194733924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 9*m + 4*m - 6*m - 9. What is l(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 2553526278.\nAnswer: 2553526277.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-22))\/(192\/(-1056))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8 + h + 0 + 2. Suppose 0 = 9*k - 7*k. Determine d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22103021 (base 4) to base 11.\nAnswer: -29770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g + 2*r = 39*g - 11, -4*g + 8 = -3*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*s + 803*s = 107 + 38 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6825 = -43*n + 5621 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (123\/(-15) + 154\/14)*-5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.520286 hours in days?\nAnswer: 0.06334525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267721819 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 9558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(3*x**2 - x**2 - x**2)*(61 + 65 - 122).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*c = 23, -2*c = -4*o + 2*o + 22. Solve -8 + o = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 + 2*g - 2. Let x = -33 - -68. Suppose -x*d + 29*d = 1200. Let r be ((-6)\/4)\/((-10)\/(d\/15)). What is c(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 2. Suppose -r - 3*r + 6 = -3*g, 0 = 2*g - 3*r + 4. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/3 + 1945298*r**2\/3 - 7781216*r\/3 + 7781224\/3 = 0?\nAnswer: -972653, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62139 + 7*q**3 + 62139.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + m)*(67 + 50 - 99 + 1 + 0 - 3 + 0 + 0 + 1 + (0 + 2 + 0)*(1 + 1 - 3)) as q + x*m and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -3 + 20\/4. Suppose -g*w - 2*y + 3740 = -0*w, -3*w + 5*y = -2818. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -5 (c) 0 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Suppose 2*h + 4*f = 3*h, h - 1 = g*f. Suppose 3*d + 19 = v, 5*v = -h*d + 100 - 5. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.41 and 12.\nAnswer: -52.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3756450 divided by -75.\nAnswer: 50086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - i + 3 + 3, 2*i = 4*t - 4. Suppose 2*n = -2, -4436142 = t*m + 4*n + 4563862. What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 1. Let u be j(0). Let i(h) be the second derivative of -h**2\/2 + 71*h. Let k(o) = o + 2. Give u*k(t) + 4*i(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 1, e: 3, o: 2, r: 3}. What is prob of picking 3 r and 1 o?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0*z**2 + 28*z + 0 - 1\/6*z**3. Let v(g) = 7627*g - 493. Let f(a) = -93*a + 6. Let m(y) = 493*f(y) + 6*v(y). Give m(x(l)).\nAnswer: 87*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-252)\/45 + 322\/70.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3\/7 + 340*q**2\/7 + 4*q\/7 - 340\/7 = 0. What is q?\nAnswer: -1, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.62592447 - -1522\nAnswer: 1522.62592447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 2*t, -l - 5*t - 29 = -41. What is the third derivative of 8*i**2 - 12*i**5 + 24*i**2 + 79*i**l - 8*i**2 wrt i?\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26357251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 (base 7) in base 11?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819 is divided by 112?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*h = -10, 0 = -13*h + 9*h - 8. Suppose 6*o - 36 = 36. Is (942\/o)\/(i\/(-4)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0 - 11*j + 0*j**3 + 0*j**2 + 1\/3*j**4. Let f(h) = -3886 + 3886 + 2*h**2. Determine f(g(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q - 2. Let w be m(-3). Suppose -274 = -2*a - 4*j, -3*a - w*j + 7*j = -399. Suppose -a*v = -124*v - 1280. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 < 2117\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 3*x + m - 4*m + 3 - 18, 68*x + 290 = 5*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l - 4*l + 0*l)*(2*l + 2*l - 3*l) + 0*l**2 + 0*l**2 + 2*l**2 + (41 - 41 - 13*l)*(-l + 0*l - 7*l))*(3 - 3*l - 3).\nAnswer: -315*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 77.078. Let y = -104.32 + 104.342. Let j = z + y. What is the closest to j in -4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477975199 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 + 114*q**2 - 117*q + 333. Calculate n(37).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.330305 millilitres?\nAnswer: 0.006330305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**2 - 1090200*v + 30521680 = 0.\nAnswer: 28, 218012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2448618 or -3\/4?\nAnswer: -0.2448618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 94*u**2 - 92*u + 286. Calculate l(-95).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-12 + 10)) + 0 + -6 - -4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(119)\/sqrt(7) + (sqrt(17) - -2*(-3*sqrt(17))**2)).\nAnswer: -1240 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8234*b*w**3 - b*w**2 + w**3 + 817*w with respect to b.\nAnswer: 8234*w**3 - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - d**3 - 2*d**3 - d**3 + 4*d. Determine z(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 30753?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1720 and 6665?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223760124 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*p**2 + p**2 - 126*p**2.\nAnswer: -269*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -19 - -1 - (396 + -401).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 51 (c) 11\/8 (d) 1 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 - 10980*u**4 - 43980*u**3 - 44000*u**2 = 0.\nAnswer: -2, 0, 2200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*b**3 + 366*b**3 + 523*b**3.\nAnswer: 387*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 11 = g, -5*g - t + 28 = 5. Suppose 4*l - 4*x + 3*x = 17, 4*l + g*x = -8. Suppose 22 = -4*a + 82. Calculate the greatest common factor of a and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 110, 274, 546, 926, 1414, 2010, 2714?\n\"Answer: 54*p**2 + 2*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2711320 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -11 (c) -2\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3946948 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5574\/28231 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 (base 15) in base 14?\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-48 - (-27 + -22)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*(l**2*l*l)\/l)\/(((l*l**(-2)*l*l*l)\/l)\/l)**(-4) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13020, -25288, -37556, -49824, -62092?\n\"Answer: -12268*o - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4125*h**2 - 18*h.\nAnswer: 3*h*(1375*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -140*m + 1. Let c(j) = -52265*j. Determine c(h(u)).\nAnswer: 7317100*u - 52265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:56 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -10\/11, 18, 5, -1\/4, 0.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8d79b + 306?\nAnswer: -8d495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/13 or -1?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.192165 + -0.19136037. What is w rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6001555?\nAnswer: 5, 7, 171473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -24*h - 1. Let c(f) be the first derivative of 25*f**3\/3 + 636. Calculate r(c(m)).\nAnswer: -600*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 <= 320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 12*t**2 - 11*t - 33. Let v(j) = -2*j**2 - 7*j. Calculate c(l) + 6*v(l).\nAnswer: l**3 - 53*l - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -137.5001 + -9102\nAnswer: -9239.5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 77*z + 78*z = -16, -5*q - 5*z = 0. Solve -2*p + 27 = -q*m + 3, p + 18 = -4*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 30956.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/18 - (-32)\/18. Determine f, given that f**3 - 4*f**4 - 2*f + 8*f**3 - 5*f**s + 2*f**3 = 0.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28711 = 173*w - 36510. Solve 367 = 5*a + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1324 = 54*h - 11*h - 9279. Solve -7*t + 171 = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from 0.0804029.\nAnswer: -0.6195971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 = 54*g - 14*g. Calculate the remainder when 397 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Suppose -4*n - b + 59 = 0, 2*n = 4*n - v*b - 13. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*g - 84, c - 9 = 3*g - 72. Suppose -2*r + 64 = 2*h, -9 - 102 = -3*h + 2*r. Calculate the remainder when h is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 63*l**2 - 5 + 67*l**2 wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16871355 divided by -3\nAnswer: -5623785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 4*k - 2*k**2 + 4*k**2 - k + k + (0*k + k + k)*(4*k - k - k) - 4*k - k**2 + 4*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = -3*u. Let z be (0\/(-1) - u) + 0. Sort z, -1, -4 in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-15)\/10 - -1). Sort -4, z, 14 in decreasing order.\nAnswer: 14, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -1 (c) 2\/3 (d) -31930\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 18 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*d - 4, 3*o = 4*d + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (5 - (-2 - -7)) - (16 - 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28463, 28458, 28441, 28406, 28347?\n\"Answer: -b**3 + 2*b + 28462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - 30*w**2 - 84*w + 229. What is s(17)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6656 = 6606. What is the remainder when 1748 is divided by t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18621*a - 12*a**3 - 963*a**2 - 4160 - 640 - 38061*a.\nAnswer: -3*(a + 40)**2*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 2886405. Let c = -3522185 + 1540050. Let x = c + r. What is x rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) -3\/109 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*10\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + v)*(v + 2*v + 2 - 4*v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 6*v + 1. Let s be r(3). Let z(i) = -i - 7. Let g be z(s). Which is greater: g or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*x - 12, -10*k = -11*k - 3*x - 3. Which is the second smallest value? (a) -2 (b) -0.5 (c) k (d) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5\/2, -4, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 20, a = -0*z + 5*z. Put z, 2, -5 in decreasing order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004655616 rounded to seven dps?\nAnswer: -0.0004656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -15588, -1, -28 in decreasing order.\nAnswer: -1, -28, -15588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2. Let o(v) = 24*v**2 - 20*v + 49*v - 29*v. Determine l(o(i)).\nAnswer: 7488*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m + 2. Let l be n(8). Differentiate 10 - 58*d + 58*d - 7*d**l with respect to d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 - 2. Let u(s) = -210*s**3 - 2*s**2 + 58. Let q(y) = -2*t(y) - u(y). Find the first derivative of q(k) wrt k.\nAnswer: 636*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 - 13\/(-14)). Suppose 4*m + 82 = 2*g, g = -5*m + q + 6. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291307710 to the power of 1\/2, to the nearest integer?\nAnswer: 17068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Let k(f) = -4*f - 2. Let l be k(-1). Sort -4, l, u in descending order.\nAnswer: u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16\/507 - 271213\/1014. Let t = 274 + f. What is the common denominator of t and 178\/(-36) - (-2)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764656\/56*((-189)\/(-18))\/3.\nAnswer: 47791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - b = -10 - 45, j - 13 = 5*b. What is the remainder when j is divided by -9 + (-5 - -11) - -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1095865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010011100 - 101?\nAnswer: 10100010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 208827*y**3 + 4*y**2 - 13*y + 13. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q*q*q**(-6\/5)*q*q\/(q**(-9)\/q)*((q\/q**(-10))\/q)\/q)**(-50) assuming q is positive.\nAnswer: q**(-1090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 21*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**3\/3 - 82*i**2 + 152*i - 584. Differentiate j(x) wrt x.\nAnswer: -2*x - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -27*v**2\/2 + 16*v - 19. What is the derivative of w(n) wrt n?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.3. Let v = -0.1 + k. Let x be (1\/(-6) + 0)\/1. Which is the nearest to -1? (a) v (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 6*j + 2. Let r be a(6). Let v = -1050 + 1058. What is the remainder when 22 is divided by (r\/2)\/(2\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a microsecond in nanoseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 14189.\nAnswer: 40\/14189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.87*-135102\nAnswer: -117538.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-2)\/(-32)). Let m be f\/4 - (1 - -1). Suppose 0 = -q + 3*u + 7 + 4, 2*q + u - 8 = m. Let t(o) = -o**3 + 6*o**2 - 6*o + 1. Give t(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 1 (c) -2\/11 (d) 0.5 (e) -4\/27 (f) -5 (g) -164.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-3 - (-6 - -3) - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 35. Suppose r = -4*m - g, -9 = 3*g - 6*g. Put -23, 4, m in descending order.\nAnswer: 4, m, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 11*x**2 + 8*x - 7. Let b be h(5). Suppose 8 = 3*j + b. Solve j = -3*o + 3*a, 0*a = -2*o - 4*a - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3642 and 5.\nAnswer: 18210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*o + 4, -5*d - 26 = -2*o + o. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzzzjvj. What is prob of picking 3 z and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -48895*k + 48895*k - 2222*k**2. Let j(z) = -z. What is m(j(q))?\nAnswer: -2222*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*sqrt(8) + -5 - (sqrt(8) - (sqrt(200) + sqrt(200) + (sqrt(200) - sqrt(200)*-5)))) + -4)**2.\nAnswer: -2464*sqrt(2) + 15684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 5, y: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) + 3\/2. What is the units digit of -3*(-30 + o)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7144.737 micrometers in nanometers?\nAnswer: 7144737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 - -1.8. Let w be (1\/2)\/((-1)\/6). Let p = -34\/3 - -77\/6. Which is the closest to 1? (a) o (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 141*s**3 + 6 - 28*s + 27*s.\nAnswer: -141*s**3 - s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9316 and 1233?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n + 7. Let g(w) = -w**3 - 6*w**2 - 4*w + 7. Let s be g(0). Give c(s).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606681350 + 606681350 + 19*c**3.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -1a92a?\nAnswer: -1a92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.715 bigger than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*4 - (sqrt(3) + (-3 + sqrt(363))**2))*4.\nAnswer: -1488 + 436*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 - 63 - 116 = -45*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 3}. Give prob of sequence lc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:43 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 times -1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15*-16.4\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6565 + 1a?\nAnswer: 6584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 797129642 to the power of 1\/3, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46020831 to the nearest integer?\nAnswer: 6784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 108. What is the remainder when 131 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 3. Let w(h) = -6*h + 8. What is -4*w(c) - 11*x(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 6*m**2 - 18*m - 15. Let z be h(-8). Let l = -1.4 + 2.4. Which is the closest to z? (a) 3 (b) -1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49\/4 + 13. Let w = 0.03 - -13.97. Let j = w + -14.1. Which is the second smallest value? (a) j (b) m (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose -x + 5*x - z = 6, 5*x + l*z = 14. What is the smallest common multiple of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-17)\/m**(-1\/7))\/(((m\/(m*m*m**(-4\/9)*m))\/m)\/m)**(-1\/56))**(-9\/14) assuming m is positive.\nAnswer: m**(533\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -156, -254, -368, -504?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34117*-3\nAnswer: 102351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 21*j**2 + 19*j + 19. Let y(x) = -2*x**2 + x - 1. Let a(r) = -q(r) - 4*y(r). Calculate a(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 - 6*t + 17. Suppose -3*d = 4*s + 29, 2*d - 3 = 3*d. Let i(m) = 7*m**2 + 5*m - 18. Let f(u) = s*i(u) - 6*g(u). Factor f(y).\nAnswer: (y - 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -103223?\nAnswer: -103221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let r = 29 + -61\/2. Which is the biggest value? (a) d (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/44 and 121\/160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-4 - -2) + -6 + 4 + -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1\/7, 12\/269, -0.1 in increasing order.\nAnswer: -1\/7, -0.1, 0, 12\/269, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 781429 + -781428.9600001. Let z = 0.3 + -0.34. Let o = z + w. Round o to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -1011100010?\nAnswer: -1011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14aa + -3?\nAnswer: -14ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -348 + 347. What is the hundreds digit of (-75)\/(-50)*(2750\/6 - t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -75 (b) -6 (c) 22 (d) -2 (e) -7 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-61)\/(-6) + ((-5)\/6)\/5. Let w = 116 - 76. Let t = w + -20. What is the highest common divisor of b and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168\/19 - 5223\/494. Let z be 3\/(-21) - (-820)\/(-728). Let j = z - q. Is -1 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -21*d + 7*d - 0*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3982, 7978, 11974?\nAnswer: 15970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161\/2 + -82. What is the closest to -1 in 0.1, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89a49 (base 12) to base 9.\nAnswer: 307843","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6039 divided by -1.\nAnswer: -6039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(11) + -1 + 2)**2).\nAnswer: 10*sqrt(11) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119592 + -58279. List the prime factors of l.\nAnswer: 7, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 25. Let a be k(0). Let l be (12\/(-30))\/(2\/a). Suppose l*p = 64 + 16. Solve 23 = -5*i - 3*f + 3, -4*i + 4*f = -p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14 = -1 + 15. What is o in 5\/2*o**2 + 25\/2*o + r = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2538855 nanograms to milligrams.\nAnswer: 0.0000002538855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 587077.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 9)*((-54)\/(-12) + -5). Let q = 15 + z. Calculate the highest common factor of 100 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/63*(-12)\/20)\/(15\/100*2)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - c + 7. Suppose 0 = 22*o - 37*o + 2745. Let w = o + -149. What is the remainder when p(-5) is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 32. Solve 0 = -v*l + 7*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c040 + 6?\nAnswer: 1c046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15*z + 1. Let s(u) = -4*u - 1. Let o(h) = -q(h) - 4*s(h). Determine o(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*y + 18 = -2*a, 9 = a + 2*y. Suppose 0 = 3*f - a - 5. Suppose 40 = 6*t - f*t. 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: What is the remainder when 64393 is divided by 274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -335981, -336193, -336405?\n\"Answer: -212*x - 335769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(6\/(-9)) + 32. Let v be 2\/(-1) + u\/5. Solve t - 1 = -3*g, 7*g - 5*t + v = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1024 divide 603136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 11*o - 64 = 0. Solve 20 = n - o*g, -5*g - 11 = 2*n + 14 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -8*p**4\/11 + 50*p**3\/11 + 516*p**2\/11 + 882*p\/11 = 0.\nAnswer: -3, 0, 49\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3070 * -17\nAnswer: 52190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-496 + 263 - 30 - 545)*(r + 1 - 1)*(0*r**3 + 2*r**3 + 0*r**3).\nAnswer: -1616*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z**2. Let v(u) be the second derivative of -u**3\/6 + 2*u + 14. What is g(v(t))?\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897470 is divided by 2891?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148065 + 141585 = -80*q for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652527331.\nAnswer: 643, 1014817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32223311130 (base 4) to base 14\nAnswer: -722c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d. Let c(v) = 49*v**2 + 4*v + 3. Let b(p) = -66*p**2 - 5*p - 4. Let l(f) = 3*b(f) + 4*c(f). Give l(u(w)).\nAnswer: -200*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a786 - 34?\nAnswer: a752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 16*j + 18. Let t be i(15). Suppose 2*h + 2*h - 2*f - 78 = 0, 0 = -h + 4*f + 23. What is the remainder when h is divided by 13 + (-1)\/(1\/t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + 66\/18. Let v be k\/(-6)*(0 + 0). Suppose -4*x = p - 594, 4*x - 4*p + 0*p - 604 = v. Is x 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 33, 31, 27, 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(2 + (-171)\/6). Let p = 44 + f. Let w(g) = -4*g - 20. What is the units digit of w(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, o: 2, l: 1, b: 1, n: 1}. Give prob of sequence lbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(20) + 1) + 3.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-700)\/115 - 6\/(-69)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -19. Let i = -3 + x. Let k = i + -3.4. What is k rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16055 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)*d**(9\/7) assuming d is positive.\nAnswer: d**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74595 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: Does 182 divide 226109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i + 60. Let b be 4 - (6 + 0)\/(-6). Let y be f(b). Solve -5*t = 4*n - 21, -12 = 4*t - 4*n - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136))\/(2*sqrt(2)*-3).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 + -1743?\nAnswer: -1698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6*h - 5*h + 10*h + 29*h.\nAnswer: 40*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -21850830.7.\nAnswer: 21850829.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129.8 + 128.2. Sort -5, -0.5, z in decreasing order.\nAnswer: -0.5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -72, 12, 3, 9 in ascending order.\nAnswer: -72, -1, 3, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -22\/15*o**6 - 10*o + 0 - 42\/5*o**5 - 8*o**3 - 47\/3*o**4 + 8*o**2. Let n(d) = 0. Calculate d.\nAnswer: -2, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (142\/(-15))\/(5\/50). Let x = -96 - r. Let p = 2056 - 2056.5. Which is the second smallest value? (a) x (b) p (c) -1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8057395.08ns?\nAnswer: 0.0000000133224125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from uuxuuhaaaxuuh.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 88, 3 in increasing order.\nAnswer: 2, 3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 + 5*m**2 - m + 9. Let x(g) = -g**3 + g**2 + 1. Let z(w) = a(w) + 2*x(w). Let v(b) = b**2 + 1. Let h(o) = 18*v(o) - 2*z(o). Factor h(k).\nAnswer: -2*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 38. Suppose 5*u - 5*n - 277 = a*u, -2*u = 4*n - 232. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.794 + 428.094. Let p = 423 - v. What is the biggest value in 47, 0.1, 0, p?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-125)\/(-30))*(-4)\/14. What is the biggest value in -0.24, -3, 4\/5, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.95, 37, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(16\/4564)*6. Suppose -4*k + 81 + i = 0. Suppose 103*y = 99*y + k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + -5. Let a = -2 - g. Calculate the remainder when 119 is divided by a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1387792 and -95\/2632.\nAnswer: 65226224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*(q\/(q**(2\/15)\/q)*q*q)\/q)\/q)\/q**1)\/(q**(-1))**17 assuming q is positive.\nAnswer: q**(313\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((10\/(-12))\/((-23)\/(345\/175)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:53 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(13*b + 13*b + b) - 1 - 2*b + 1 + (3*b - 2*b - 2*b)*(4 + 1 - 3).\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196.0929 + -197.41. Round i to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8216345 - 0.09.\nAnswer: 8216344.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b0c365 - 2?\nAnswer: b0c363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3820929266 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 8*m - 7. Let a be c(-8). Let q = a - -12. Suppose 3*p + p = 5*h - 13, p - 28 = -q*h. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/12 + x**3\/6 + x**2 - 4*x. Let r be l(2). What is the nearest to 1\/2 in -5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - a**4 - 7*a**4)*(a + 2*a - 5*a + (-2*a - 1 + 1)*(5 - 4 + 0) - a + 2*a - 3*a - 2*a + a + 2*a) + (3 - 1 + 0)*(-2 + 2 + a**5).\nAnswer: 32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 13*h**2 - 12*h + 15. Let b be (-48)\/(-60)*(7 + -2). Let p be 0 + 12\/(-16) + 51\/b. Give q(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 12*n)*(2*n + 10*n**3 - 3*n + 3*n).\nAnswer: -120*n**4 - 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/15, 2, 0.2, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.03, 172, 66\/7, 3\/16, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(1\/4)*l))**(3\/20)\/((l*l\/(l\/(l\/l**6)))\/((((l**(-4)\/l)\/l)\/l)\/l)))**(-49) assuming l is positive.\nAnswer: l**(15239\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -3, 6, -2.\nAnswer: -3, -2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h - 1 - 2388*h**2 - 1 + 80*h**3 + 2 + 2389*h**2.\nAnswer: 80*h**3 + h**2 - 33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/29128 and 85\/39886.\nAnswer: 52809064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 - 5*f + 1. What is the remainder when (3504\/(-72))\/((-4)\/6) is divided by c(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25855205?\nAnswer: 5, 5171041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43840 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x - 1. Let z be p(-3). What is the remainder when 6 is divided by (20\/25)\/(z\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 4*h = 255. Let k be (h\/(-4))\/3*-8. Let o = k + 60. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, a: 4, h: 7}. Give prob of picking 2 h and 1 a.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 3192804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 11, -4, -35, -88, -169?\n\"Answer: -v**3 + v**2 - v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9586454 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011863 times -0.5?\nAnswer: 505931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5637977*a**2 - 22809700?\nAnswer: 11275954*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o - 7. Suppose 5*u + 7*c - 3*c = 417, 0 = -3*c - 6. Let a be (-54)\/(-10) + (-34)\/u. Calculate the smallest common multiple of h(a) and 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 80\/3, -2.4, -2 in ascending order.\nAnswer: -2.4, -2, -0.3, 80\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 3:11 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, -209, -4 in decreasing order.\nAnswer: 1, 0, -2, -4, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1091\/3 - -363. Which is the nearest to 1? (a) r (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/9*57\/(-228)*(-120)\/(-225)?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, -103 in decreasing order.\nAnswer: 31, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**3\/3 + 4*t**2 - 5*t - 1280. Determine r(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 108.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101100011000101111111001?\nAnswer: -1101100011000101111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/(-102) - 18\/11)\/(3\/(-18))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 27 (b) -3\/259 (c) -16\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91965825 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = -123*x - 558 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20487287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 106, 83, 40, -29, -130, -269, -452?\n\"Answer: -h**3 - 4*h**2 - 4*h + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-4 - 15\/(-10)) + 2). Let y(d) be the first derivative of 2\/5*d**5 + z*d**2 + 0*d - 2\/3*d**3 + 4 + 0*d**4. Suppose y(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14158998977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-17)\/5)\/(21\/(-120)))\/((-6)\/63*-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:53 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*(0*x**2 - 2 - x**2 + 5).\nAnswer: -4*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/4)*j))\/j**(-30) assuming j is positive.\nAnswer: j**(117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106337 = -22*n + 370051. What are the prime factors of n?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z - 17*z + 7*z + 3*z**2)*(-29*z**2 - 178*z + 178*z).\nAnswer: -87*z**4 + 493*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)*u**(-4\/11) assuming u is positive.\nAnswer: u**(-92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -126, -242, -352, -456, -554?\n\"Answer: 3*i**2 - 125*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-5)\/(-20)). List the prime factors of ((-9)\/(-12) + s)*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7558227.99943 + -7558194. Let y = 0.071 - -33.929. Let k = y - i. What is k rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2497 + -64947\/26. What is the common denominator of 1*5*(-336)\/(-80) and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 122968693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -13 + -5 - (-1 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/6 - -3)*-3. Let d = 9 - i. Is d + -9 + (-60)\/(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 2*w + 25*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*x**3 - 5 - 130*x**3 + 28*x**3.\nAnswer: -598*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -3.9 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004 - 8983 = -268*a + 2205 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110896)\/(-145) - (2\/(-10) + 0). Let l = 290 + z. What are the prime factors of l?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 2308, 5236, 9320?\nAnswer: 14560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4664 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 0.2 (b) 0.4 (c) 3\/5 (d) -2837\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*2*5 + (sqrt(132) - (-2*sqrt(132)*-1 + sqrt(132)) - sqrt(132)))\/(sqrt(192)*4 - (sqrt(12) + -6*sqrt(192))) + 5.\nAnswer: 7*sqrt(11)\/39 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -521 + 533. Let q(f) = -11*f + 4. What is q(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 9 = -26*i. Suppose 11 = -4*j + 5*j - 4*k, 9 = -i*k. Let b(v) = v + 3. Let f(u) = -u. Determine j*b(y) + 2*f(y).\nAnswer: -3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48305644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Suppose -2*i + 10 = c - 0*c, q*i - 3*c = 2. Suppose -d - 5*t + 3*t = 60, -195 = i*d - t. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -5*b**4\/12 - 15*b**3\/2 + 13*b**2\/2 + 182*b. Let f be p(-8). Solve f = -11*i - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -722449*y**3 + 10*y + 29255480 wrt y?\nAnswer: -2167347*y**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -18. Calculate the remainder when b is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1036*k. Let p(t) = -3018*t - 1. Calculate p(w(a)).\nAnswer: -3126648*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y**(8\/9))\/(y**(-1\/5)\/y*y**7) assuming y is positive.\nAnswer: y**(-491\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/7))**39*((o*o**(-4))\/o)**(-35) assuming o is positive.\nAnswer: o**(1331\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 153.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**9\/161280 + z**5\/10 + 10*z**2. Let t(l) be the third derivative of v(l). Factor t(h).\nAnswer: -3*h**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1743687 and 10032?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*i + 210, 4*m + i = m - 126. What is the common denominator of (-30)\/105 + (-1058)\/168 and (-6)\/(-21) - (-761)\/m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 239*q**2 + 489368*q - 99532272.\nAnswer: -(q - 332)**2*(q + 903)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 6 = n - 4, 321 = -2*n + 2*m + 333 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337813, -337699, -337587, -337477?\nAnswer: -337369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*o + 1, 5*z = -3*o - 0*o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-25 - -10*(-582)\/(-210))) + (-244)\/658?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 50*d**3 - 2*d**2 + 32*d + 2. Let m(n) = 201*n**3 - 9*n**2 + 129*n + 9. Let j(k) = -2*m(k) + 9*w(k). Find the second derivative of j(a) wrt a.\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62068 by -59.\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 32*b + 705. Give o(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 1. Let k be z(-10). Suppose b + 4*b = -5*o + 415, 4*b + 3*o - 336 = 0. Let y be (-2)\/k - b\/27. Is y greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -15*q - 1 + 0*q - 5*q. Let o be l(-1). Let k = -9 + o. Solve 5*u - k = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/4 (b) -194 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1261 = -30*d + 1531 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = 4*p - 10, 549*p - 554*p - 5*d = 140 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/370 and -54\/395?\nAnswer: 29230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 25 = -5*c + 2*s - 2*s, 4*s + 15 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from {q: 1, k: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 23 = -2*b - m, 4*m = 5*b + 90. Let g be b\/(-7) + (-1 - -2). Suppose -4 = -5*c - 29. What is the third smallest value in 2, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9125528 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 104. Factor 10*r + w*r**2 - 18*r**3 - 15*r**2 + 38*r**2 - 2*r.\nAnswer: -2*r*(r - 2)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4285017623742 - -4285018333636.8949838. Let t = 709895 - r. Let y = 0.105 - t. What is y rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*c = 43, -3*o = -4*c + 56 - 153. Let b = o - 11. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/5 - 17056*a\/5 - 68192\/5 = 0.\nAnswer: -8524, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 3*s**2 + 5*s**2 + s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98705.485 and 3.\nAnswer: -296116.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1\/((-3)\/(-3)). Suppose 0 = -3*n + x + 29, 0 = -n - y*n - 4*x + 20. Solve -5*s = -n*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1)*n)\/n)**(-16\/7)\/((n\/n**(3\/5))\/((n*n**(1\/3))\/n)) assuming n is positive.\nAnswer: n**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.014 - -18. Let o = 0.244 + m. What is o rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00116234255 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51173.\nAnswer: 73, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -384.7 + 415. Let z = 30 - q. Put -10, 5, 1, z in decreasing order.\nAnswer: 5, 1, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 17 + 109, k - 3*y = 2*y - 78 - 186 + 56 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.25893347779.\nAnswer: -3.74106652221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 19 = 1. Suppose -5*t + 410 = -5*n, -2*t = 2*t - 5*n - 333. Let a(k) = -2 - t*k + 43*k + 35*k. Let p(x) = -3*x + 4. What is j*a(s) - 2*p(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3720?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3413.7421 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -34001*w + 2. Let f be (-6)\/3 + (-3 - -7). Let n be j(f). Round n to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -103?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/60 + 25*n**3\/3 - 22*n**2. What is the derivative of p(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(35)\/sqrt(7) - sqrt(5)) - sqrt(20)\/sqrt(4)*4)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -3*n**5\/4 - 7*n**3\/2 + n - 55. Find the second derivative of u(h) wrt h.\nAnswer: -90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2624, -10488, -23590, -41924, -65484, -94264?\n\"Answer: t**3 - 2625*t**2 + 4*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -33*l - 4. Let f be v(2). What is the units digit of f\/14*79\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(2\/(-12)). Suppose 20 = 4*f - 2*a, 5*f - 19 = 2*a + i*a. Calculate the remainder when 19 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/148797 and -61\/1164.\nAnswer: 57733236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 0*h + 6*h + 27002 - 3*h.\nAnswer: -h + 27002","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2 + 50. Let w(f) be the second derivative of f**4\/6 - 17*f**3\/6 - 13*f**2\/2 - 6*f. Let u be w(v). What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-4)*q**(3\/2)*q**(-2\/7)\/(q*q*q\/(q\/q**(-7))*q*q) assuming q is positive.\nAnswer: q**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6790 - -6786. Sort 6, -5, p, 0, 38.\nAnswer: -5, p, 0, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2) + (-111)\/(-222))\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/6 + 0 + 715\/(-143).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.98 times 0.6?\nAnswer: -2.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 78*d**2 + 193*d + 13. What are the prime factors of y(-9)?\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.51 + 0.51. Which is the biggest value? (a) r (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9091789 by -1298827.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-10)\/15 + 41. Suppose p*z = 35*z + 1576. Is 15 a factor of ((-2)\/(-4))\/(2\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126749 != -6210671\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**3 - 4*z**3 + z**3)*(11 + 52 - 7)*(11 + 4 - 5) in the form x*z + p*z**3 + b + u*z**2 and give p.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m**2 + 8*m - 95. What are the prime factors of i(15)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/364 and -33\/1876?\nAnswer: 24388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 + 281. Suppose -60 - s = 13*z. Is -35\/2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60 - 52) + 52\/(-6))*(-96)\/(-640)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7876, 8127, 8380, 8635, 8892?\nAnswer: 9151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27017, -27011, -27005, -26999, -26993?\n\"Answer: 6*y - 27023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 3 (c) -9\/5 (d) 0.5 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 379\/328 + 50\/41. What is the common denominator of 63\/10 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 1\/6*w**5 - 1\/120*w**6 - 6*w**2 + 0 - 5\/8*w**4 + 0*w + 11\/6*w**3. List the prime factors of x(6).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + 6*sqrt(48) - (1*sqrt(147) - (sqrt(3) + -1 + 4)).\nAnswer: 5 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:33 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2*y - 2*y + 10*y**3 + 59*y - 59*y + (-5*y**2 + 5*y**2 - y**2)*(-2*y + y + 0*y).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/405, -2, 5.219?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-12)\/1))\/(4\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -s. Let d be (-2 - 3)*-4 + -2. Let n be (-2)\/8 + d\/8. Solve -u + 4 + n = j, -s*j + 2*u = 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35179445\/3051046 + -10\/22769. Let j = o - 2\/67. Find the common denominator of j and 2 + -2 + 19\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3276 + -4.6724. What is the third biggest value in t, -2\/5, 1\/9, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4178035 is divided by 1928?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 4213?\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19990, -19914, -19840, -19774, -19722, -19690, -19684, -19710?\n\"Answer: -l**3 + 5*l**2 + 68*l - 20062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, f: 3}. What is prob of sequence hffh?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002000403 (base 5) to base 7.\nAnswer: 146162422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1020 = -o - r, 3*o - 5*r = -765. Let j = o + 32. What is the units digit of (j\/(-2))\/((-4)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(114)*1 - sqrt(114)) + sqrt(114))*-4)\/(sqrt(6) + sqrt(24)\/sqrt(4)*-5) + (-3*-3*sqrt(19)*2)**2 + -3.\nAnswer: sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Suppose -1 = -2*a + g. Solve -l = -0*l - 2*h - 5, 0 = -l - a*h - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 22*t - 1358. Calculate the remainder when 4336 is divided by l(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -2. Suppose -2*d = -10, -a + 395 = j*a - d. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)\/((-12)\/(-8) - 2). Suppose -5*c + 4*c - 3*w = -10, -12 = -2*c - t*w. Is (-2)\/(-9) + (-34824)\/(-27) + c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1462*f + 4*a = 1467*f + 56, -6*a + 24 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 1.2, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 <= -29598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, o: 1, u: 4, s: 6, n: 2}. What is prob of picking 1 n and 3 u?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 10*d**2 - 6*d - 12. Let h be v(9). Let u = 553 + -868. Let a be (u\/12)\/((-1)\/4). What is the highest common factor of h and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2242 + 2241.9996915. What is h rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 45 + 15. Let r be (-14)\/35*u\/(-1). Suppose 0 = 2*p - 4, -3*g = -2*g - r*p - 2. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/12*(16\/(-7))\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21002 (base 4) to base 6\nAnswer: -2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57177867, 114355739, 171533611, 228711483, 285889355, 343067227?\n\"Answer: 57177872*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from bbmbbbmnnmbmmbbmmbn?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 4*w + 4. Let y = 276 + -272. Calculate z(y).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35489 >= -35489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, m: 9}. What is prob of sequence nnn?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 686 and 3834152?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 2*f. Let w(t) = t**2 + 2*t. Let b(g) = -2*i(g) + 3*w(g). Solve b(r) = 0 for r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 430 = -461. What is the remainder when 128 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29270762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-12 - ((17 - -1) + 0))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5 - (-38)\/10. Suppose d*y - 15 - 1 = 0. Suppose -y*m - 595 = -9*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*f**4 - 6*f**3 + 3*f wrt f?\nAnswer: 120*f**2 - 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 6*o - 363. Calculate the highest common factor of 297 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*r - 58 = 0, 122 = -111*m + 107*m + 2*r for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40226?\nAnswer: 2, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 4, b: 8}. Give prob of picking 1 e and 1 o.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/60 - 5*a**2. Let b(u) = u. Let r(l) = -7*l**2 - 3*l. Let z(h) = 3*b(h) + r(h). Determine s(z(c)).\nAnswer: -49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29547, -0.1, 3\/2 in ascending order.\nAnswer: -29547, -0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 103*j**3\/4 + 68395*j**2\/4 - 66503*j\/4 - 1995\/4 = 0.\nAnswer: -665, -3\/103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 10*v + 2*v. Sort -4, 0, 4, v.\nAnswer: -4, v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-20) + (-675)\/(-20). What is the greatest common factor of t and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3587\/139 greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -13 + 12 - 18 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 4*m**2 - m + 5. Let o(n) = -n + 4. Let z be o(6). Let d be 1\/(z*(-2)\/16). What is the units digit of s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -10\/19?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*g - g. Suppose 4*q + 8 = -3*d, -g*d - 4*q = 2*d. Suppose 8*k - d*k = 560. What is k rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*q + 4*q - 140, -3*r = 3*q - 207. Calculate the remainder when q is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/10 + 8*j**4\/3 - j**3\/6 + 14*j**2 - 437*j + 8. Calculate v(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let a be -2 + g + (-1 - 2). Solve 0 = -5*l - a*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 302*n**3 - 5*n**2 + 5*n - 3. Let s be u(1). What is the greatest common divisor of 39 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 13. Let j = 0 + 0. Let g be 4\/(-2)*2\/(-1). Solve c = -6*k + g*k + x - 9, -3*k + x - 11 = j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43993 - -19?\nAnswer: 439b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50500 and 33907720.\nAnswer: 847693000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -646 + -1860?\nAnswer: -23a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -5 + 23 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 530916.3t?\nAnswer: 530916300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 8. Give i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -1\/4*p**4 - 7\/20*p**5 + 0*p**2 + 0 - 6*p + 0*p**3. Find the third derivative of m(v) wrt v.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 - 12*s**4 - 28*s**3 - 32*s**2 - 18*s - 4.\nAnswer: -2*(s + 1)**4*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**2\/2 - f + 760. What is l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3353\/4 + -839. Let x = -0.4 + 0.1. Put x, b, -0.2 in descending order.\nAnswer: -0.2, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*u = -19, 3*j + 2*u - 2 = 7*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -9*c + 1085. Suppose g = -5*v + 235, -4*v + 7*g = 2*g - c. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1701 + -1701. Factor l + 3\/7*a - 6\/7*a**2.\nAnswer: -3*a*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -546 + 539. Which is the second biggest value? (a) -0.1 (b) m (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(605)\/sqrt(11))\/sqrt(5) + -2*sqrt(1100))**2.\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen twelths of a minute?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76051, 153636, 231225, 308818, 386415, 464016, 541621?\nAnswer: 619230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 31790, 8, -1, -9 in increasing order.\nAnswer: -9, -1, 5, 8, 31790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2782*z = -444*z - 9678 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 681616392 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let o = 0.501 + -0.101. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -2.99. Which is the nearest to 2\/3? (a) h (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -26*l + 28*l + 5*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8943 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:59 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = u, -30*u - 2*z + 37 = -25*u. Suppose 2826 = -0*a + u*a. List the prime factors of a.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17961, -71455, -160629, -285495, -446065?\nAnswer: -642351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.5 - -0.5. Let r = v - 15. What is the second biggest value in 2, r, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 - 9 = 0. Suppose 3*v - u - 3461 = 3*u, 4610 = 4*v - q*u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 6. Let n = 27 - 30. Let q be f(n). Suppose q = -6*k + 3*k + 3. What is the closest to -4 in k, -1\/6, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + ((-14 - (-9 - -6)) + 17 - (-9 + 3))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21544 (base 9) to base 8\nAnswer: 33730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40260 by -3.\nAnswer: -13420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 792 and 21.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (159\/(-6))\/((-1)\/26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*((-1 + sqrt(13))*4 - (sqrt(13) - ((sqrt(13) + (-1*sqrt(65))\/sqrt(5))**2 - sqrt(13)))) + -4.\nAnswer: -24 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.40518 millilitres to litres.\nAnswer: 0.01240518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14*(4\/22)\/(348\/1276)*3\/(-2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykb when three letters picked without replacement from yykkwybkwy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010775 to seven decimal places.\nAnswer: 0.0001078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.5. Let g = 5074\/5 + -1015. What is the fourth biggest value in -4\/15, -3\/4, f, g?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -442 - -444. Suppose 18 = 3*a + 3*v, -3*a - 4*v + 18 = -2*v. Let s be (-33)\/(-2)*4\/a. Solve 1 = -l*o + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -7*l**3\/6 + l**2\/2 - 2*l. Let u be z(1). Let i(s) = 2*s**2 + 9*s + 6. Calculate the remainder when i(u) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58895 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 + 133. Let h(w) = 187*w + 140. What is the thousands digit of h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6338 - 101405\/16. Let z(q) be the second derivative of 3\/2*q**2 + q**3 + 13*q + 0 + b*q**4. Factor z(p).\nAnswer: 3*(p + 2)*(3*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 - (-113 - -123)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l**3 + 0*l**2 + 21*l**3 + 0*l**2 - 4*l. Let u(f) = -48*f**3 + 27*f. Give 4*u(r) + 27*y(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/120 - (-2 + (-26)\/(-12)) and -151\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(3 - 99)\/4. What is the third derivative of -35*a**2 - 32*a**3 + 17*a**2 + q*a**2 wrt a?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 59645 = 0. Let a(n) = m*n + 159140*n + 81215*n. Let t be a(-2). Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 694046 and 996.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from jjorjgrrooz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 + 128. Let z = m + 25. Let h = 74 + -218\/3. Which is the second smallest value? (a) -2 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((84\/10)\/(-7))\/((-3)\/80). Suppose 300 = t*o - 28*o. What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from fofxkno.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 4 - 4)*(r - 3882 + r + 3898 + 9*r**2) - 5*r**4 + 5*r**4 - 3*r**5.\nAnswer: -12*r**5 - 2*r**4 - 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -2*t**2 + 0*t - 1\/5*t**6 - 1\/84*t**8 + 4\/15*t**5 + 0 + 0*t**3 - 1\/6*t**4 + 8\/105*t**7. Factor y(g).\nAnswer: -4*g*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 100001010011111?\nAnswer: 100001011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -781*y - 39074. Calculate w(-50).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668*-24.4.\nAnswer: 16299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 2, -5, 3, -6222 in decreasing order.\nAnswer: 3, 2, -5, -78, -6222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 50 = -z - 30, j = -z - 12. Put j, -32, 1 in descending order.\nAnswer: 1, j, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/9)\/(4\/(-6)). Solve -5*g + 2*p = -4, 0 = 2*g + 3*g + 2*p + o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1060285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 10 - 46 = -11 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(-4))\/(-2))\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 33093*b + 724661. Calculate j(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1489*f**2*q - 12006*f**2 + 2587*f*q + 16*f - q + 8 with respect to q.\nAnswer: -1489*f**2 + 2587*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342612333.\nAnswer: 3, 7, 1289, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 18695327.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-7 - -10) + 0\/(-2) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 2*i - 1. Let l be t(2). Let y be 1 + (-5)\/(l\/2). Suppose c + 0*o = -o + 1, 17 = 2*c - y*o. Solve 4 = -2*n - c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 100, 75?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28644 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-55 + (2 - 3))) + -290 + 198 + 93?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16118314, 16118315, 16118316, 16118317, 16118318, 16118319?\nAnswer: 16118320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -58*h + 950. Is v(15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.5 - -36. Let w = -18 - -27. Let s = 9.2 - w. What is the second biggest value in o, s, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*m + 16 = 0, 3*m - 1812 = n - 1811 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i - 8. Let f be j(6). Suppose f*r - 4 = 12. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(3*f + 0*f - 2*f)*(79*f + 224*f - 6*f).\nAnswer: -297*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**3 + 35760*z**2 + 44067105*z + 15057791210 = 0. What is z?\nAnswer: -5698, -727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191508655?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - w - 21, 3*a - 5*w - 32 = -3*w. Let h(j) = 2*j**2 - 18*j - 13. Let d be h(a). Let i = 23 + -16. What is the greatest common factor of i and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/16*4 + 5. Let o(g) = 16*g**2 + 4*g - 1. Let i(l) = -l - 3*l - 3*l**2 + 2*l + l. Let f(z) = p*i(z) + 4*o(z). Factor f(q).\nAnswer: -2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:12 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*z + 54*z + 50*z + 8584*z**2.\nAnswer: 8584*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 16, -35, -106, -197, -308?\n\"Answer: -10*d**2 - d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 114.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, u: 8, e: 5}. What is prob of sequence un?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 18. Let p be l(13). Suppose -3*j + 206 = -2*s, -5*s - 164 = -p*j + 176. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j - 16*j**2 + 17*j + (9 - 13 - 25)*(5*j**2 - 7*j + 7*j) to l*j + d + k*j**2 and give k.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - sqrt(24))*1 - sqrt(2904)*-1)\/(-4*(sqrt(8) + (3*sqrt(88) + sqrt(88))\/sqrt(11))).\nAnswer: -13*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*n - n. Let l = n - 10. Put l, 0, -1 in ascending order.\nAnswer: -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13773*q**5 - 6573*q**2 wrt q?\nAnswer: -826380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*q*y**2 + 3060*g**2*q - 2*g*q*y**2 - 4*g*q*y + 2*g*y**2 - 12*q*y**2 wrt g?\nAnswer: 2*q*y**2 + 6120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 112\/105 - (-4)\/(-6). Let s be (1\/(-3))\/(13\/6). Let y be (-72)\/(-144)*12\/(-10). Which is the nearest to z? (a) s (b) y (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:19 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-48)*-6*(-2)\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 21*o**2 + 23*o - 52. Let i be r(20). Let g(f) = 2*f**2 - 16*f + 3. Let m be g(i). Solve j = m*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*d = -4 - 17, -3*x = 4*d - 23. What are the prime factors of ((-17)\/(-34))\/(x\/1030)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -81 + 61 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51474117?\nAnswer: 3, 97, 176887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2194 and -19\/759234.\nAnswer: 832879698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(0 + 0 + 4\/6). What is the highest common factor of 28 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**2 + a**2)*(-5 + 2 + 9)*(2 - 3 + 3)*(-1 - 2 + 1).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25647?\nAnswer: 3, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (-5 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -6. Let f = c + 6. Find the second derivative of 40*x**2 + f*x**5 - 11*x - 40*x**2 wrt x.\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119 take away 0.05?\nAnswer: -1119.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1950 and 1625.\nAnswer: 9750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 - 64*y**3 + 2480*y**2 - 14400*y = 0. Calculate y.\nAnswer: -36, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84.87482195 + 0.014.\nAnswer: -84.86082195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:33 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let k be (4\/7)\/((-1290)\/(-105)). Which is greater: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 26*p + 17*p + 3)*(3 - 1 - 1).\nAnswer: 43*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, 3946, 16, -2, -1 in descending order.\nAnswer: 3946, 16, -1, -2, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -24*c + 14. Let y(d) = -3. Let x(m) = -m - 3. Let n be -2 + 3 - (-2 + -3). Let r(a) = n*y(a) - 5*x(a). Determine 3*o(b) + 14*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3155 and 18\/631.\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - w + 1. Let u be k(1). Let c be (-3)\/3 + (-9)\/u. Solve b - 16 = -4*h, -c*h + 2*b + 10 = 3*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*j**4 + 55*j**2 - 10*j**4 - 18*j**3 + 5*j**3 - 4*j**4 wrt j?\nAnswer: 48*j - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24f46a + -14?\nAnswer: 24f456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -835111, -1670213, -2505321, -3340441, -4175579?\nAnswer: -5010741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 + 51\/(-172). Let b be -2 - (-3201)\/36 - (-8)\/24. Let v = b - 87. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + 11*d - 860. Let z(g) = 8*g**2 + 14*g - 860. Determine -5*n(p) + 4*z(p).\nAnswer: -3*p**2 + p + 860","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3394 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2496)\/(-60) + 3\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7768809 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1349396716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*j + 40*j + 126 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 5*g - 2. Let b be i(-6). Let f be 15\/(-10)*b\/(-6). Sort -3, -6\/7, f in ascending order.\nAnswer: -3, -6\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-7293)\/(-77). Suppose 29*t - x = 28*t. What are the prime factors of t?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 70*m + 700. Give n(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * -0.0424\nAnswer: -0.016536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21928975 by -37.\nAnswer: 592675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, 32.\nAnswer: -13, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 0. Let a = 22 + v. Is 7 a factor of 3 - (-3 - a - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -2. Suppose -2*d + 3*d - 3*v - 1 = 0, 2*v - 6 = -d. Let o = 3 + -5. What is the closest to o in -3, d, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -131113000?\nAnswer: -131113012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -207669 divided by -8\nAnswer: 207669\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 292*j + 228. Let u(k) = -58*k - 45. Calculate 2*d(t) + 11*u(t).\nAnswer: -54*t - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-2) - (-9)\/(-6). Let w(f) = -2*f**l + f**2 + 0*f**2. Let k(d) = -d**2. Give k(w(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1422 divided by 79\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15250 is divided by 2142.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2, 4254 + 7315 = 2*c + u. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/558558 and -88\/2667.\nAnswer: 70936866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 730*b - 2184. Give j(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1368)\/(-152) - (-1)\/(1\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let v be q(-6). Let g be -2*(-1 - v\/(-10)). Let 4\/5*j - 1\/5*j**2 - g = 0. What is j?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:08 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -10*y**3\/3 + y**2\/2 + y + 2124. What is g(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31079*o - 20781.\nAnswer: -31079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 2:58 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/7)\/((u\/(u\/(u*u*u**(-1\/9)))*u)\/u))\/(u**(1\/6)\/u**(-5\/3)))**(-24\/5) assuming u is positive.\nAnswer: u**(1804\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -662 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 64 + (-6 - -4) + -4 + 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1506 - 63?\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1)*-1*-19. Suppose -4*d = -37 - c. Suppose 4*g + d = 3*o, 0 = 3*o - 5*g - 17 + 4. Solve s + 1 = o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202101122021100 + -12?\nAnswer: 1202101122021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Suppose -2*l + 5*v - 6 = -0*l, -v = -2*l + 2. What is the third derivative of -d**6 - d**2 + 0*d**6 + x*d**l wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2)*(3*i - 1 + 1)*(3 + 7 - 19)*(-6*i - 4*i - 3*i).\nAnswer: 351*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690 + 629 + 23*n - 1324 + 951*n.\nAnswer: 974*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(5\/7)\/d*d))*(d*d**(-1\/3))\/d*(d**(5\/3))**(-1\/17))**(3\/4) assuming d is positive.\nAnswer: d**(101\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 177027925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -15. Suppose -5*z + 11 = -b. Solve -10 = -2*p - z*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 7*g = -7248. List the prime factors of g.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -1 - (6 + (-4 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 105 = 2*l, 5*b = l - 8319 + 8209 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16 - 3 - (3 + 1))*1. Suppose 6*z = 9*z - p. Solve -5*x - 3 + 13 = -z*h, x - 2 = -5*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8007099 days?\nAnswer: 69181335360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h + 2*h + 4*h)*(-3*h**2 + 0*h**2 - 2*h**2) + (2*h + 0 + 0)*(0*h + 2*h**2 + 0*h) + 0*h + 3*h**3 + 0*h.\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.515 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1768 and 5392043.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1639*u + 477*u + 578*u in the form m*u + c and give m.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8218188l in millilitres?\nAnswer: 821.8188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwjwww?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m - 12 = 140. Let z be 22\/8 - (-2)\/8. Which is the closest to m? (a) -2 (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.801484 to zero decimal places.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yylyll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296*x**3 + 2*x**2 + 278*x.\nAnswer: -1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 788620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 89*m + 1892. Determine a(54).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 3*q - 15. What is the tens digit of r(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-2 - -5 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 4*j = -12, -2*j - 16 = 5*x. Let o = x + 6. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1548 and -91\/1462?\nAnswer: 26316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:27 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.68860873 rounded to 4 dps?\nAnswer: -2.6886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**2 - 2*c - 17. Suppose 4*x = -10 - 10. Let t(r) = -4*r**2 + r + 11. Give x*v(d) - 8*t(d).\nAnswer: 2*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 6*z + 6*z)*(7*z + 1 + 11*z - 19*z) to the form o*z + q*z**2 + y and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 - -184. Solve 45 = -4*c - 5*m, -4*c + p*m = -m - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5\/2 (b) -7\/12 (c) 0.4 (d) 528 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - 123. Sort k, -0.03, 1\/3, -2.\nAnswer: -2, -0.03, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1094047674 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7960940 and 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + m + 2 = 0, -1 = m + 3. Let b be (-14)\/63*i\/(-2). Let a = 2.33 - -0.67. What is the closest to -4 in -3, b, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91576.2ng to milligrams.\nAnswer: 0.0915762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4\/(-6) + (-16)\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1184*i - 26994. Give j(-23).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) -38\/25 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {m: 5, f: 3, s: 8}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - 153\/(-12). Suppose -w + 92 = 3*w - 4*b, w - 3*b - q = 0. What is the remainder when 54 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -946, -4189, -10318, -19927, -33610?\nAnswer: -51961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 78*q - 89*q - 2*q)*(2 - 1 - 2).\nAnswer: 169*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 21303\nAnswer: 4\/21303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (15015\/693)\/(123\/27 - 4)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 32.7.\nAnswer: 3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(28) + -2)**2.\nAnswer: -160 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbbbjbjjbjjj. What is prob of sequence jjb?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 4.2 (c) -0.025\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524893, -4199071, -14171845, -33592513, -65610373, -113374723?\nAnswer: -180034861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) 0.4 (c) 2 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2665773.\nAnswer: 3, 11, 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*r - 30*r - 1 - 2*r)*(-4*r + 0*r + 2*r) to the form z*r**2 + q + o*r and give z.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 26*i**2 + 26*i - 7. Let k(n) = 3*n**2 - 7*n - 27. Let t be k(0). Let f be r(t). Calculate the greatest common factor of f and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 107*v**2. Let i(n) = -2*n. Determine i(y(d)).\nAnswer: -214*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*s - 3*f, -2*s - 2*s + 7*f = -0*s - 0*f - 66 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 3, b: 1, g: 4, o: 1, i: 1}. What is prob of picking 1 g and 1 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-605)\/33 - -21)\/(24 - 30)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 15271400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 0*o**3 + 0*o**3 - o**4 + 2*o**4 + 0*o**4 + (-2*o**2 + 3 - 3)*(-2 + 2 + 2*o**2) + 2*o**2 - 2*o**2 + o**4 - 2*o**4 + 0*o**4 + o**4.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 69\/13, -4\/13 in ascending order.\nAnswer: -4\/13, 69\/13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (3 - 26)) + -3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(y - y + 3*y) - 2*y + 3*y - 8*y)*(-2*y - 3*y + 6*y)*(y**2 + y**2 - 3*y**2).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.4, -0.1, 1\/5, 8\/11, -590?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - (-2 + 5)) + -3. Solve 4 = -d*n + 2*q, -7*n + 10 = -2*n + 5*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}