diff --git "a/data/dm_maths/full_data_2/10224_11255.jsonl" "b/data/dm_maths/full_data_2/10224_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10224_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 233111071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/7 + 790*q**4\/7 - 15572*q**3\/7 + 66440*q**2\/7 + 82800*q\/7 = 0. Calculate q.\nAnswer: -414, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose 4*f - k*m = -0*m - 3, -5*f - 3*m = -3. Let y be (-1 + f - -1)\/2. Let g(q) = q**3 - q**2 - q - 7. What is g(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3351056 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3171, 12680, 28513, 50658, 79103?\n\"Answer: -2*n**3 + 3174*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10878.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -5, 0.019, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 - 13 = 0. Let i be (-2 - -3)*c*-3. What is the units digit of (0 + -2 + i)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:10 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 7*t - 19. Let o = t - -17. What is the remainder when 22 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/4 - 8*d**3\/3 - 5*d**2 - 17*d + 239. What is o(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*q - 32*q + 51793 = 270157. Solve -97*c + q = -286 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)*3\/(-6). Let i = -0.0372 + 0.0372. What is the second biggest value in i, 3, 5, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 0*b**2 - 2*b**2)*(-1 - 6 - 8)*(-1 + 1 + 2*b**2).\nAnswer: 120*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187144740 is divided by 6626?\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 66518 and 48 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**6\/30 + k**5\/12 + 169*k**2. Let g(q) = -3*q**3 - 5*q**2. Give 6*g(j) + 5*l(j).\nAnswer: 2*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*z - 2*z**2 + 72*z - 214*z - 24 + 73*z + 5*z.\nAnswer: -2*z**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*b**5 + b**4 - 6*b**3 + 2*b**2 + 82 wrt b.\nAnswer: 4320*b**2 + 24*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 461191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4732 divided by -89.\nAnswer: 4732\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103090 + 0.4.\nAnswer: 103090.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-6 - -5) + 2. Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 382865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369216.509 - -369050. Let s = 166.7289952 + c. Let u = s + -0.22. Round u to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(6308271*c - 6308255*c + 10*c**2 - c**2).\nAnswer: -18*c**2 - 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(215922 - 64*s - 215915 + 3*s)*(s**2 + 4*s**2 - 6*s**2) + (3 + s - 3)*(-2*s**2 - 3*s + 3*s).\nAnswer: 120*s**3 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - -74?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-8 - ((2 - 8) + -3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -708 + 1343. Suppose 0 = l - 6*l + r. Calculate the remainder when l is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -18, 11, -1, 2 in descending order.\nAnswer: 16, 11, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - u**2 - u**2 + (4*u + 0*u - 2*u)*(173 + 329*u - 173) to the form k + l*u + p*u**2 and give p.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from hfccqdc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 12 + 20 = 0. Suppose -2*y + 0*l + 286 = 2*l, j*l = -5*y + 716. 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: Solve -855 + 225 = -35*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 + -0.1?\nAnswer: 844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1582400 and 101200.\nAnswer: 17406400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) -0.4 (c) -3\/152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxnnnnnnnnxnnx. What is prob of picking 2 x and 1 n?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2493433 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (208\/(-6))\/4*6*19\/(-76)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 4*x**2 + 2*x**2)*(-658 + 1400 + 663).\nAnswer: 2810*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -37. Let f(o) = o**3 + 6*o**2 - 4*o + 3. Let g be f(-6). Let u be (g\/6)\/3*-2. Sort 5, u, m in ascending order.\nAnswer: u, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 0. Suppose -2*p - 3 = a. Let v = 8 + p. Sort -2, 3, v.\nAnswer: -2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + l = 105. Is 3\/(-15) - (-4173)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 343, 678, 1015, 1354, 1695?\n\"Answer: p**2 + 332*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 290, 580, 858, 1118, 1354, 1560?\n\"Answer: -q**3 + 297*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/20 + -1)\/(2\/(-40)). Suppose 223 - 767 = -w*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h*h\/(h**(-4)*h)*h)))\/h)\/(h\/h**(2\/39)*h)*(h\/h**(-2))**(-4\/9) assuming h is positive.\nAnswer: h**(106\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 277*l + 8788. Give u(-165).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 1 = -7*a. Is 5\/8 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*y + 59 - 11 - 41 - y**3)*(0 - 2*y + 0) as p + t*y**4 + r*y + l*y**3 + c*y**2 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 25*c + 10. Calculate the remainder when 67 is divided by k(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d - 5*d + 5*d + 1 - 1 + 2*d + (-d - 4 + 4)*(0 - 2 + 0) + (3 + 1 - 2)*(-3*d + 8*d - d).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434445 and 1485?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 1. Let q = 26 - 25. Let b(p) = 20*p**3 + 24*p**2 - 6. Let o(m) = q*b(m) + 6*u(m). What is the third derivative of o(d) wrt d?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1859)\/(-52))\/((-176)\/(-128))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 519349397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k**2 + 2*k. Let g be i(3). Calculate the common denominator of -137\/18 and 8\/(-20) - g\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310446 and 23598.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/4)\/w*w)\/w*w)\/w)\/w*(w*w**(-2))\/w*(w*w**4)\/((w\/w**(-3\/7))\/w) assuming w is positive.\nAnswer: w**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10*a = 0. Differentiate 1 - 1 - u**4 - 4 + a*u**4 wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d9ea000 - -3?\nAnswer: -1d9e9eec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 693023 and 236642.\nAnswer: 9702322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1356.825ms to minutes.\nAnswer: 0.02261375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 2778.4414\nAnswer: 1111.37656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-115)\/(-10))\/1*2. Find the first derivative of 11*g**4 - a - 30 + 59 wrt g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 19. Let t = -22 + a. Let r(m) = -3*m**3 + 5*m**2 + 5*m + 5. Let x(w) = -3*w**3 + 6*w**2 + 6*w + 6. Determine t*r(y) + 5*x(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 76593 = -0*b - 699839. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 5*h - 5. What is the lowest common multiple of (h - 1)*1 - -4 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539410?\nAnswer: 2, 5, 17, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqhwqwwhhwh. What is prob of picking 1 q and 1 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8426 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -39. Let p = v + 3. Let m = 9.9 + p. Put 0.2, 1\/7, m in decreasing order.\nAnswer: 0.2, 1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3060 - -23302?\nAnswer: 26362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.7, -542, 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 2:57 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -12. Suppose 3*z + a = 27, -3*z - 2*a = -i*a - 18. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 66*w + 363. What is a(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1)*(4 + -4). Let u(v) = v + 5*v + 0*v**2 - v**2 + n - 4. Let l = 1017 - 1012. Calculate u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540 - -549) + (-1 - 15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-3)\/(-2)*(-26)\/3. Suppose 2*l + 5*t - 12 = 0, -k = -3*l - 5*t - 8. Suppose -a + 5*p = a + l, 20 = 5*a + 5*p. Solve z + 0 - a = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781396027?\nAnswer: 781396027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3901 + 230162\/11703. Let a = 275\/4 + -583\/8. Calculate the common denominator of a and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/16)\/(15\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 554 + -630. Let b = g - -60. Which is smaller: -49\/3 or b?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 - 3*l**2)*(0*l**2 - 2*l**2 - 3*l**2)*(-2 + 24 - 3).\nAnswer: 190*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4786 + 0.0214. Let s = 792\/35 - 111\/5. What is the nearest to -0.2 in -5\/6, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000293415 rounded to 7 decimal places?\nAnswer: 0.0002934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466268?\nAnswer: 2, 11, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 + 6)*(-1)\/2*1. Let l(y) be the third derivative of 4*y**2 + 0*y**i - 1\/12*y**4 + 0*y + 0. Let z(g) = 7*g**2. Calculate z(l(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344890671 to the power of 1\/2, to the nearest integer?\nAnswer: 57835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5*d + 3)*(41 + 149 - 19) as r*d + k and give r.\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4\/3 - 1109*v**3\/3 - 1381*v**2\/3 - 92*v = 0. Calculate v.\nAnswer: -276, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15980, -33075, -50170, -67265, -84360, -101455?\n\"Answer: -17095*n + 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {x: 2, a: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2188 + -2627.2. Let m = q + 439. Let b = 6 + -3. What is the smallest value in -2, -0.1, b, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f + 8. Let c(d) = -d**2 - 4*d + 14. Let l be c(-8). Let r(a) = a - 1. Let v(p) = l*r(p) - 2*w(p). Calculate v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495951410?\nAnswer: 2, 5, 29, 8606729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-12))\/((-30)\/(-1494)) and -73\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + -4 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266772.\nAnswer: 2, 3, 11, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -4a?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -20\/3. Let t = -194 + 193.435. Let i = t - 0.035. Which is the smallest value? (a) 1\/6 (b) x (c) -0.4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let i(a) = 1 + 10*a + 16*a + 24*a - 39*a + 9*a. Determine i(b(r)).\nAnswer: -20*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 493721422 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 1. Let q be l(-1). Suppose 5*w + 23 = q*b, b + 0*b - 3*w - 11 = 0. Solve x - b = -m + 2, -5*x = -2*m - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318913926587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7024 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 1.5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - y + 5*y + (-4*y - 2*y + 4*y)*(-3 + 0 + 0) + (1 - 2 + 2)*(3*y - y - y).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2339*p**2*r + 3*p**2 - 4*p*r - 24*p - 154821343*r wrt p?\nAnswer: -4678*p*r + 6*p - 4*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 7) to base 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -687080.41 to the nearest 1000.\nAnswer: -687000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**5 - 46*x**4 + 384*x**3 + 414*x**2 - 2808*x = 0. What is x?\nAnswer: -39\/4, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/63809 or -0.1?\nAnswer: 18\/63809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -57*y**3 - 6*y**2 + 5*y - 6. Let t(d) = 115*d**3 + 13*d**2 - 11*d + 13. Determine -6*t(n) - 13*v(n).\nAnswer: 51*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 13. Let u = -6 - s. Let o = 0.99999936 + u. What is o rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-835)\/90 + 9 + 2\/(-9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 538575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18918531 divided by -6306177.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 6:47 AM?\nAnswer: 417","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a - a + a to the form t*a + k and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.6 - -12.9. Let k = -10 - d. Let s = k + 3.4. Sort -7, s, -0.2 in increasing order.\nAnswer: -7, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98732710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*o = 3*o - 1, -5*o = -3*h + 17. Sort -2, 2, h, 0 in ascending order.\nAnswer: -2, h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 45. Let g = 3 + -2.6. What is the closest to 0.4 in g, y, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 990 and 39402?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose j - 3*c - 3 = 0, -6*j - 12 = -10*j + 2*c. Suppose -x + 9 = -4*l, j*x - 1 - 18 = 4*l. Solve 2*n + 3*i = -2, -n + a*i + 4 - x = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.9 + -336928669.\nAnswer: -336928655.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/205 + 8\/41. What is the nearest to 22 in -4, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, -5, 3, 2 in decreasing order.\nAnswer: 3, 2, -5, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*z - 0*z. Let x(r) = r**2 - 2*r + 1. Calculate x(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from xdhdotddttod.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + sqrt(99)*2*-3 + (sqrt(99) + sqrt(99)*1 + 5)*-2)**2.\nAnswer: 720*sqrt(11) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -6 + -13 - (9 + -25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 117, 121, 127, 135, 145?\n\"Answer: j**2 + j + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 1. Let o be x(-5). Let s be 6\/(((-5)\/(-120))\/((-1)\/(-2))). Let h = s + o. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - u = t - 15, u + 1 = 0. Suppose -s + t*s - 99 = 0. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5\/3 + 520*f**4\/3 + 2992*f**3\/3 + 1888*f**2\/3 - 12032*f\/3 - 15872\/3 = 0.\nAnswer: -124, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 5 - (6 + -3) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 1445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7\/3)\/(b\/((b\/(b\/(b\/(b\/b**13))))\/b))*(b\/b**5)**(-2\/11) assuming b is positive.\nAnswer: b**(310\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v - 2*n + 23, 11 = -v + 15*n - 19*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/37 (b) 2\/9 (c) -2 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**4 - 2*l + 2. Let v(w) = 2*w**4 - 7*w**2 + 5*w - 12. Let s(r) = 3*a(r) + v(r). Find the second derivative of s(t) wrt t.\nAnswer: 60*t**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*j + 2. Suppose 5*o = -v + 28, -5*o + j = -6*v + 5*v. Let b be (-1)\/(-6) + 369\/54. Solve o*h + 30 = 4*d, h - 3*d = 5*h - b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n)**(2\/105)\/(n**6*n\/(n**(4\/7)*n)) assuming n is positive.\nAnswer: n**(-566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35398, -70819, -106242, -141667, -177094?\nAnswer: -212523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*l**2 + 253758*l + 580128.\nAnswer: -3*(l - 12086)*(7*l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00607116343 to 4 decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 966 = 2*l, 5*n = 3*l - 892 - 557. Suppose -39 = 2*b - 3. Calculate the remainder when l\/b*-3 + 2\/4 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1292654520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8063051*m + 8063041*m - 160 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2114 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppovl. Give prob of sequence opv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 31. Let g = 5.26 + q. Let k = g - -0.04. What is the third biggest value in k, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + 7\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (2 - 9) + -5 + -7 + -31\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/((-2)\/(-10)). Let y(w) = 7*w**2 + 3*w + 6. Let h be y(x). Suppose 2*i - 2*v - 68 = 0, 4*v + h = 5*i + 25. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5324)*4 + 2)**2.\nAnswer: 704*sqrt(11) + 340740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 7261.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-5)*y*y*(y\/y**(-7))\/y)**(-47) assuming y is positive.\nAnswer: y**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780009, -780019, -780035, -780057?\nAnswer: -780085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 600520\/20*(-7)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5922*b - 609658. What is y(103)?\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -304 and 0.136.\nAnswer: -41.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 2*k + 893 = 877, 3*i - 8 = -2*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 2. Let j be x(2). Let y be -2*2*(-35)\/35. Suppose -5*k + 0*k + 60 = -5*d, 5*k - y*d - 64 = j. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 7*c + 1. Let z be a(7). Let n = -63 - z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z. Let x be t(-13). Let r(b) be the first derivative of 17*b**2\/2 - 46*b + 30. Let p be r(5). Calculate the greatest common divisor of p and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -38. Let n = 40 - q. Suppose -4*r + n = -2. Which is the closest to -4? (a) 1\/3 (b) 3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 286 = 1354. Solve 20 - q = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/(3\/(-18)). Suppose -p*n - n + 150 = 0. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -3280?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21139494, 42278996, 63418498, 84558000?\nAnswer: 105697502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/10040 and -99\/112.\nAnswer: 140560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(189\/49)*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2*k**6\/3 - 8*k**5\/5 + 29*k**4 - 184*k**3\/3 - 40*k**2 + 224*k + 58. Find l such that u(l) = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7261 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.047 - 8.047. Let g = -31 + t. Let u = g - -44. What is the closest to 0.1 in -4, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 7*y + 2*y)*(22299 + 47701 + 8557 - 60*y + 128*y - 69*y) as z + r*y**2 + u*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:19 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49885987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/12*2*(4 - 4). Let g(j) = -j**3 + j**2 - j - 8. Give g(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7 + 3*n - 29 + 22. Let j(s) = 9152*s. Determine j(k(p)).\nAnswer: 27456*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 149108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -124160, -248329, -372498?\n\"Answer: -124169*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9432 - 18867\/2. Sort 5, -9, -0.3, r in descending order.\nAnswer: 5, -0.3, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 5, a: 2}. Give prob of sequence oaa.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58674 and 41101137?\nAnswer: 82202274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005426 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34b (base 15) to base 11\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 2*q**2 + 1 - 2*q**2 - 4*q**4 - 2*q**3 + 2*q**4 to p*q**2 + r + w*q**3 + u*q + d*q**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4446*j*n + 1677*j - 91*n - 15 wrt n.\nAnswer: 4446*j - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9\/2*(-112)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -345 - -10747. Suppose 17*u - 10*u - g = 0. Is u a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1\/140*4). Determine t, given that -9 - u*t + 23*t + 24*t - 3*t**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 345, 528, 703, 864, 1005, 1120?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 12*f**2 - 19*f + 19. Calculate d(-14).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/15 - 2906*z**3\/15 - 101246*z**2\/5 - 2594298*z\/5 + 8720316\/5 = 0. What is z?\nAnswer: -1342, -57, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2006 - 275?\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1520771841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*p*r**3 - 84893*p*r**2 + 2*p*r + 2*r**3 + 30*r**2 + 33*r + 152 wrt p.\nAnswer: -16*r**3 - 84893*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let u(v) be the first derivative of -v**4\/4 + 14*v - 64. What is the units digit of u(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c**2 - 1\/6*c**4 + 0*c**3 + 10 + 1\/5*c**5 - 1\/15*c**6 + 5*c. Let r(x) be the first derivative of f(x). Factor r(o).\nAnswer: -2*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**3*m*s - 18*k**3*s - k**3*x + 2*k**2*m + k**2*x - 16*k*m*s*x + m*s wrt k?\nAnswer: -30*m*s - 108*s - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82720 rounded to the nearest 1000?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 887\/1774*1\/5.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + -1 + 0 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20756 (base 9) in base 4?\nAnswer: 3112230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + 2715\/60 - (-6)\/8 is divided by -12*2*3\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.1 (b) 4 (c) 27 (d) -165\/2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 3300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 3*x**2 + 3*x - 1. Let a be q(-4). Let c be a\/66 - (-2)\/4. Let i = 0.5 - 0.4. What is the nearest to -2 in i, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*m + 8 = y, -1 = y + m. Let f = 27.9 - 0.9. Let d = 22 - f. Which is the third biggest value? (a) d (b) y (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/188 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-704)\/(-24)*(-8 - 1). Is (3\/(-4))\/(6\/v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.86 + 0.06. Let d = l + 1. Let i = 98 - 98. What is the third biggest value in -0.3, d, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -29948 and -29948 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/12 + 5*g**3\/6 + g**2\/2 - 5*g. Let d be p(-6). Solve -2*b - 5*n = -7, 4*b = 2*n - 5*n + d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -1\/6*h**3 - 1\/10*h**5 - 15\/2*h**2 + 53*h + 1\/6*h**4 + 0. What is the second derivative of d(a) wrt a?\nAnswer: -12*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*q - 16, 10 = 4*q - 6. Suppose c - 3*t - 133 = 0, -3*c + 2*t + 10 + 396 = y. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18500 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2376\/7 - 244742\/721. Let k = r - 301\/412. Which is the smallest value? (a) -12 (b) k (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((2*-1)\/(-6)). Let a be (-3)\/(0 - s\/(-2)). Find the third derivative of -a*v**5 + 0*v**2 + v**5 + 3*v**2 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7900 divided by 1755.\nAnswer: -1580\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 132, 196, 260, 324?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgf when three letters picked without replacement from {g: 1, s: 4, f: 1, b: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 1 - (-202 + 186 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, r: 8, i: 5}. Give prob of picking 1 r and 2 i.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 16, 0, -19 in decreasing order.\nAnswer: 16, 0, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 65 = 23*d. Let f(t) = t + 29. Is f(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a century?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 2:44 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226246.\nAnswer: 2, 113123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 401.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1206, -10124, -34368, -81612, -159530, -275796?\nAnswer: -438084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 2941.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**5*c**(8\/3)\/c)\/((c*c\/(c\/((c*c**(2\/3)\/c)\/c)))\/(c\/(c\/(c*(c*c**1)\/c))*c*c)) assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-5 + 6)) + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79179.01 millimeters in nanometers?\nAnswer: 79179010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8677877 and -16823.234.\nAnswer: -8694700.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 + 76 = 113*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from wswwsjsnjbnwssjss?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4779 divided by -177\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*6\/(-219))\/((-1 - -6)*(-21)\/(-35)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1449 and 3864.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -114\/5*g**2 - 6048\/5 + 288*g + 3\/5*g**3 = 0.\nAnswer: 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0*(-4)\/12. Suppose i + i - 66 = a. What is the common denominator of 6\/11 and 215\/(-12) + i\/(-44)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 5 (b) -2 (c) 0.3 (d) 2\/111 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -93*y + 11. Let v(s) = -4 + 77*s + 84*s - 132*s. Let g(w) = -3*a(w) - 8*v(w). What is g(-1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/4))**(-24)*(k*k**2)**(-5\/4))**(-18) assuming k is positive.\nAnswer: k**(1215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1239*c + 410*c**3 + 1232*c + 1235*c + 1233*c - 4932*c to j*c**3 + p + x*c + v*c**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67647?\nAnswer: 3, 22549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -9) - (-5 - -13 - 12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 7*m**3 + 4*m**3 + 6*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7325*k + 36638. Calculate p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**9\/5040 + d**5\/40 - d**4\/6 + d. Let t(l) be the third derivative of h(l). Differentiate t(y) wrt y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8548.57846 to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 + 994*v - 503*v - 496*v.\nAnswer: 16*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 820*x**4 + 49*x + 1 wrt x?\nAnswer: 9840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3106*j**3*u - 2*j**2 - 197*j*u wrt j.\nAnswer: 18636*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 7*i**4\/24 + 3*i**2. Let a(x) = 3*x**2. Determine a(k(o)).\nAnswer: 147*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c**2 - 20*c**2 + 16*c**2 + 16*c**2 + 16*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -4*h**3\/3 - h**2\/2 - 3*h. Determine l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 4. Let f be (2\/(-27))\/((-1)\/(-3)). Which is the nearest to f? (a) -1\/5 (b) y (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289332728 to the nearest integer?\nAnswer: 17010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 + -4 - -10) - (-20 - (164 + -174)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-867)\/(-9) - (15\/(-9))\/(-5). What is the second derivative of -3*a - 2*a + 12*a + 5*a + p*a**3 wrt a?\nAnswer: 576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*-0.232\nAnswer: 8.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*w + 649*j**2*w**2 - 47*j**2*w + 11*j + 585*w**2 wrt j.\nAnswer: -12*j*w + 1298*w**2 - 94*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 4*i - 152. Let v(h) = -537*h - 13. Calculate r(v(n)).\nAnswer: -288369*n**2 - 16110*n - 373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 - 8*m**2. Let a(x) = -2*x. Calculate z(a(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-16 - (-37 - -33) - (4 + 143)).\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(153)*-1*-4)\/((sqrt(18) + (sqrt(72)*1)\/sqrt(4))\/sqrt(2)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -24*w - 1146. Let y be v(-9). Which is bigger: -933 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1111169992 divided by -8.\nAnswer: 138896249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -100. Which is the nearest to o? (a) 1\/3 (b) 2\/25 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 4. Let s(r) = 5*r**2 + 13*r + 2. Let j(w) = -2*w**2 - 6*w - 1. Let x(i) = 7*j(i) + 3*s(i). Let b be x(4). Give a(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -479?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598408177 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -241, -1947, -6571, -15571, -30405, -52531, -83407?\n\"Answer: -243*l**3 - l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52382500 and 180?\nAnswer: 471442500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 16. Let f = -6 + r. Suppose 5*l - 81 = -f. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 270 + -4066?\nAnswer: -38a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/7))\/u*u*u*(u*u\/u**(5\/3))\/u*u**5*u*u**(1\/8))**23 assuming u is positive.\nAnswer: u**(29923\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8249818?\nAnswer: 2, 4124909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -1\/4 (c) -1\/2488 (d) -2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -448)*45\/18. Let g be (-8)\/6 - y\/12. Let d = -55 + g. Solve -x + 5*v + d = 3*x, 0 = -4*x - v + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 22. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 2 - c + 2*c**3 - 3*c**3 + 8*c**2 - c**2. Let n be r(3). Let o be -2050001 + -2*(-2)\/n. What is o rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-10*(-10)\/100))\/17)\/(4\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let z(h) = -3*h. Let y(p) = -2*f(p) - z(p). Let t(c) = 42 - 12*c + 19*c - 10*c + 18. Let x be t(22). Let g(j) = j. Calculate x*y(v) + 7*g(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 - 8*y. Let l be r(-7). Let w = 91 + -41. What is the remainder when 144 - (3 - l\/(-6)) is divided by w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l - 1. Let f(a) = -406*a - 2. What is f(t) - 2*g(t)?\nAnswer: -394*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -625? (a) 5 (b) -2 (c) 2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 809 + -807. Solve c*p + 3*s = -4 - 9, 7 = p - 3*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6472*g**3*u**3 - 23*g**2*u**3 + 31*g**2*u + g wrt g.\nAnswer: -38832*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 245 = -3*o, 2*q + 2*q = 2*o - 162. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 376084 - -14869. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66528 divided by 2.\nAnswer: 33264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*45 - (1403 + -1454)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 - 34*s**3 - 28*s**3 - 305.\nAnswer: -62*s**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-26)\/t)\/(t**(13\/4)\/t)*t**14\/t**34 assuming t is positive.\nAnswer: t**(-197\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose -c*y = -m + 2, 0*m + 2*m + 5*y - 4 = 0. Let u be (0\/(3\/1))\/m. Solve i - 4*i - 9 = u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c + 13. Let y(o) = o**2 + o + 11. Let f(n) = 6*u(n) - 7*y(n). Let q(g) = g**3 + 7*g**2 + g - 5. Give -5*f(x) - q(x).\nAnswer: -x**3 - 2*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 932 divide 24189128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 25. Let p = -14 + i. Let u be (-3)\/(-2) - (95\/(-10) - -8). Which is bigger: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 316*b + 17054. Determine g(69).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4938 is divided by 408.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3 + x + 9*x**2 + x**3 + 12 - 4. Let f be p(-9). Which is the closest to -2\/5? (a) -0.3 (b) 5\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + -9. Let t = z + 112. Let v = 124 - t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2128757*y + 8820 = 2128862*y for y.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12b2 - b?\nAnswer: -12bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(3*sqrt(114)*-3)\/sqrt(6) + 4 + (1 + sqrt(304))*4 + sqrt(304))*-2)**2.\nAnswer: 2432*sqrt(19) + 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 12*c**2 - 11*c + 4. Let l be s(11). Solve l*x - 8 = 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + 2*m + m)*(-1 + 2*m + 0 - 1)*(-2*m + 2*m - 2*m)*(21 - 21 + 16*m) in the form r*m**4 + w + n*m + z*m**2 + d*m**3 and give d.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-84) - ((-2288)\/(-192))\/(76\/(-8)).\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22904 and 3558709.\nAnswer: 28469672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:58 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -264 + 266. Let g(t) = -8 + 11*t**2 - 13*t**m - 2*t + 3*t**2. Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32477 is divided by 357.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 4*g + 7. Calculate the lowest common multiple of 6 and a(-6).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295*l**4 + 2*l**3 + 130*l + 3?\nAnswer: -3540*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1315\/7 or -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038893289 rounded to 6 dps?\nAnswer: 0.003889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -17. Suppose 0 = -6*h + 9*h - 642. Suppose 0*k - h = -3*k - o, 2*o = -5*k + 358. Calculate the highest common divisor of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(242)*-4 + sqrt(242) + sqrt(242) + 3*sqrt(242) + 5 - (2*sqrt(200) + sqrt(162)\/sqrt(9) - sqrt(8)\/((sqrt(64)\/sqrt(4))\/sqrt(4))))**2.\nAnswer: -198*sqrt(2) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 4*c)*(3 - 1 + 0) + 4*c - 5*c + 4*c + (12 + 13 - 6)*(5*c - 3*c - 3*c)*(4 + 0 - 8).\nAnswer: 83*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/((-18)\/(-8)). Let z be (-11)\/44 + (-2)\/56. Let f = -231 + 232. What is the closest to f in p, z, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m + 373*m**2 - 184*m**2 - 188*m**2 - 14*m.\nAnswer: m**2 + 38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 0.3. Let l = g - -1. Let i = -0.123 + -6.877. Which is the third biggest value? (a) l (b) 3\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (11\/22 + 158\/(-332)). Is 0 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a kilometer in meters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 + 3. What is the units digit of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 808277 and 13514.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271188561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -38*-88\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34915156?\nAnswer: 2, 79, 110491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128*s + 363*s + 618*s + 127*s.\nAnswer: 2236*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:32 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 491541 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198485730?\nAnswer: 2, 5, 13, 31, 297391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (455\/15)\/13*6\/(-105)*5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 - (4 - (-35)\/(-5)). Let g be (-9)\/(-6)*c\/(-6). Which is smaller: 13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*((-1013664)\/(-12))\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*g - 30 = 0, -5*v + 9*g = 13*g - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 25 = 4*k. Let r(p) = p**2 - 3*p - 7. Let a be r(k). Let t be (-1)\/(-1 + a)*-2. Sort -2, t, 4.\nAnswer: -2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22883095 rounded to the nearest ten thousand?\nAnswer: -22880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0*l + 5*l - 4*l + 4*l. Let p(f) = -2*f. Calculate b(p(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + 40\/(-15) + 203. Let g = -197 + v. Which is the nearest to 0.2? (a) 1\/53 (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 14) in base 16?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -79*z - 841. Determine f(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-1)\/2). Let m = v - -4. Suppose -g + 0 = -2, 5*g = m*h - 140. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + t - 30 = -39, 0 = t + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m = -5*m - 3036 + 3966 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 5 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5992448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkkmpkpkmppk. What is prob of sequence kpm?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**3\/6 + m**2\/2 - m. Let w(p) = -185 - 13*p + 186 + 25*p - 11*p. Calculate -3*q(f) + 2*w(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54899 - 55196.0014. Let u = -297 - o. What is u rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let r = 4 - 7. Let x = -61 + 56. Put w, r, x in increasing order.\nAnswer: x, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164 + 260. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354481183 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(119) + sqrt(119)*1)*5 - sqrt(119)) + sqrt(119) + -6*sqrt(119)*1)\/(sqrt(42)\/((-1*sqrt(864) - sqrt(864)) + sqrt(864))).\nAnswer: -48*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2570*h**2*r**5 + 159*h**2*r**2 - h**2*r - 3*h*r**2 + 3*r**5 - 8*r**2 + 8 wrt r.\nAnswer: 154200*h**2*r**2 + 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 0.17\nAnswer: 2.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 8. Let v(n) = -3*n**2 - 22. Let c(h) = 4*v(h) + 11*w(h). Let m(o) = 12*o. Give m(c(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)\/sqrt(2) + sqrt(1088) + sqrt(1088) + 3 + sqrt(1088) - (sqrt(272) - (1*sqrt(272) + -1) - (sqrt(272)*-1 - sqrt(272))*4)) + 3)**2.\nAnswer: -50*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 39031?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 719422 + 280995. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + p + 2 - 7*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 0*d - 2*d)*(2*d + 2 - 2)*(0 - 5 + 3).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + (5 - 0))\/(-2). Let m be 2 - b - (-8 - -9). Find the third derivative of 4*c**3 - 12*c**3 - 3*c**m + c**4 + 8*c**3 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11502 and 710.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 98\/14 - (2 + -1). Suppose -y = f*a - 5*a - 156, 0 = 3*a - 3. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Calculate the common denominator of 2 + l\/((-120)\/303) and -37\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1655 and 107\/420.\nAnswer: 139020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 46, 74?\n\"Answer: 28*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13064 = -1491974*s + 1492066*s for s.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 - 67*s + 32. Give c(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*i + 8*i**2 - 15*i)*(6 + 8 - 6) in the form h*i**2 + y + k*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 748250, 748248, 748246, 748244, 748242, 748240?\n\"Answer: -2*t + 748252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 189?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 119904048.\nAnswer: 1\/39968016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -4, 4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 616719, 1233143, 1849563, 2465979, 3082391?\n\"Answer: -2*u**2 + 616430*u + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-14)*(16\/(-10))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 minutes before 12:37 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3353*n**3 - 737*n**3 - 1335*n**3.\nAnswer: -5425*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 - 2*p**2 + 1\/12*p**4 + p**3 + 0*p. Let c be -1*7 + (0 - -2). Calculate h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/120 + (-2)\/10. What is the closest to 1 in 63, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(224)*-2*6)\/(sqrt(288) + sqrt(288) + sqrt(288)*2).\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1966*2.\nAnswer: 3932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3643 by -16.\nAnswer: -3643\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(176) - sqrt(11)) + 4)**2 + -3*sqrt(11)*1.\nAnswer: -35*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -57735816 times -0.4\nAnswer: 23094326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/28*-8*6321\/(-16254)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/24*w**4 + 0*w + 0 + 1\/3*w**3 - 26*w**2. Give s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 1083. Let c(y) = -7*y + 1443. What is -8*c(b) + 11*w(b)?\nAnswer: b + 369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566 (base 11) to base 14.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - 1 - -1) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -386944116 * 4.\nAnswer: -1547776464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*w - 20*w + 16. Solve -t + s - 1 = 0, -t - w*s - 16 = -8*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Let a be -10*41*(-12)\/10. Suppose -8*x + a = -z*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13383 is divided by 666?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277716?\nAnswer: 2, 3, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (2 - 3) - (-828 + 918)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let b = 22 + -19. Let v(x) be the third derivative of 0*x + 0*x**b - 1\/12*x**4 + 0 - x**2. Determine v(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 493 - 327. Let x = -164 + b. Let v = 3 + -2.9. Do x and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (6 + 18)*2\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -653687.\nAnswer: 5\/653687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21863226, 21863221, 21863216, 21863211, 21863206, 21863201?\n\"Answer: -5*l + 21863231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2978 + -2974. Let f = 1 - -1. Sort 1, f, p in decreasing order.\nAnswer: p, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.8651844 to three dps.\nAnswer: -53.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16808 greater than 16805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 1.96. Let k = -171.3 - -43.3. Let i = k - -124. Which is the third biggest value? (a) i (b) q (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900)\/sqrt(12))**2 - (sqrt(27) - sqrt(432))\/sqrt(9)) + (4*sqrt(15)*6)\/sqrt(5).\nAnswer: 27*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24496583.\nAnswer: 3671, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38754255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 250 (b) 3 (c) -0.19 (d) 13\/4 (e) 5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2, -1, -8 in decreasing order.\nAnswer: 0, -1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1218761 and -22615?\nAnswer: 1241376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + q + 5. Let u(y) = -y - 5 - 1 - 2*y**2 + 3*y**2. Suppose 3*m = -m + 24. Determine m*g(s) + 5*u(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 + -213.7. Which is the fourth biggest value? (a) 1\/9 (b) -0.1 (c) p (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/7 + 6\/7. Which is the closest to 0.1? (a) l (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**2 + 5 - 8*z - z + z**3 - 3*z. Let w be a(10). Do w and -63\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423.9829nm to meters.\nAnswer: 0.0000004239829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 1 = -4*l - r, 2*l - r = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652 divided by -413?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2\/43, -0.12, -2\/5?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1358 - -0.1758. What is the fourth smallest value in 4, -0.2, 5, a, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-7)*u**(2\/5))**(-25)\/((u**(5\/3)*u*(u*u**(-1\/3))\/u*u)\/((u\/((u**0\/u)\/u))\/u**(-2\/7))) assuming u is positive.\nAnswer: u**(-4411\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -18. Suppose -l - 10 = 3*p, l - 3*p = 1 + 19. Suppose -22 + 2 = l*z. Sort -5, x, z.\nAnswer: -5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 7*h. Solve 7*a + 9 + 19 = h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 + -11.9. What is the smallest value in 0.4, 0.2, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*l - 0*x + x, 0 = l - 2*x - 12. Suppose 4*b + 0*b - h - 21 = 0, -l*h - 12 = -4*b. Calculate the common denominator of -23\/10 and b\/15 + 571\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -78. Differentiate 20 - 13 + 10 - 20*i**3 - 10*i**b with respect to i.\nAnswer: -90*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 89. Calculate the greatest common factor of 322 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 218093952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 10*t - 9. Calculate o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 + 526*v**2 - 56000*v - 1. Determine b(-250).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37400387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2)*(16\/30 - 14*6\/(-105))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - 70*v**2 + 20*v + 184. What is c(-13)?\nAnswer: -921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/80 - r**3\/6 + 22*r. Let k(o) = 0. Calculate o.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h*h**(-8))\/h))\/(h*h*h**9*h)*h**(-6\/13)*h*h**10 assuming h is positive.\nAnswer: h**(85\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2) - -2)*-10. Let h = q + 49. Solve -2*g = -h + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 261. What is the hundreds digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/2)\/(1294\/647).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -367, 3\/4, 5?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -81. What is the highest common divisor of c and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187\/428 + 27\/428. Which is greater: -3.936 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*(s\/(s*s**(4\/9)\/s))\/s)))\/(s*s*s**(-4\/9)*s))\/(s*(s**1*s)\/s)**(21\/4))**21 assuming s is positive.\nAnswer: s**(-525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9303, 9306, 9303, 9294, 9279?\nAnswer: 9258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98980 (base 14) to base 6.\nAnswer: 11530552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 32*c + 12591. List the prime factors of q(0).\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49100 - 49111. Let r(h) = 13*h**2 + 4*h - 9. Let f(k) = -7*k**2 - 2*k + 5. Let t = -13 - -7. Determine a*f(y) + t*r(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 28222223 to the nearest 100000.\nAnswer: 28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3.92. Let y = -7856.2 - -7855.9. What is the second smallest value in y, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*a**5 + 2395*a**4*c + 1338*a + 28*c wrt a.\nAnswer: 400*a**3 + 28740*a**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4428 divided by 3507\nAnswer: -1476\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 6*v - 13072 - v - 643.\nAnswer: v - 13715","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 704262565 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 12. Let t be f(-9). Let n be 10\/4*((-27)\/15)\/t. Sort -4\/5, -1, n, -5.\nAnswer: -5, n, -1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/16938 and 28\/369?\nAnswer: 694458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/7 - -12\/35. Which is the second biggest value? (a) -3\/4 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4726*z + 1970731. Calculate t(-417).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*d + 5*d + 44*d + 8601 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -19. Let r(y) = y**3 - 9*y**2 + 6*y + 9. Let m be r(8). Let n be 2\/m - 256\/(-14). Solve 5*t + w = -4*f - 5, -2*t = -4*f - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 65, -595, -2385, -5869, -11611?\n\"Answer: -94*z**3 - z**2 + z + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -302514354 (base 6) to base 12\nAnswer: -18959ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.72, -1, 0.1, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzxxrzzzzxzzzrz. What is prob of sequence zxr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.73 and -799?\nAnswer: 583.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 363500*m - 363508. Calculate n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-28) + (-4)\/14. Let o = 71\/45 + -9\/5. Put 0.2, a, 6, o in ascending order.\nAnswer: o, a, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**3 + 15*l**3 - 2 - 4*l**3 - 2*l - 2*l**3 as i*l + g*l**2 + m + d*l**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41677 = 1768*d + 53795 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 6353*f**5\/5 + 4960*f - 6960. Differentiate a(h) wrt h.\nAnswer: 25412*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 4. Let t(i) = 4*i**3 - 7*i + 4. Let p(n) = n**3 - 2*n + 1. Let j(s) = -289*s + 16466. Let k be j(57). Calculate k*p(z) + w*t(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.3, 79\/30, -0.1, -192\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 1269 + 872 = 3377. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k - 1. Let v(a) = -a**3 - 10*a**2 - 2*a + 1. Let g(x) = -2*b(x) - v(x). Is g(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(612) + 0.\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -28. Suppose 4*c = 5*z - 174, -t*z - 2*c + 140 = -6*c. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194404 is divided by 7200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -53054 (base 6) in base 3?\nAnswer: -100211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 6*m**2 + 0*m**3 - m**2 - 1 + 8*m. Let n be o(6). Let i be ((-2 + 0)\/(-2))\/(-9*(-1)\/1089). Calculate the highest common divisor of n and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-50)\/50).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689708064 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5454 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 - 422835*p**2 - 8941797000*p - 98308610620 = 0. Calculate p.\nAnswer: -42278, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**3 - 5*i - 3. Let s(c) = -3*c**3 + 2*c + 2. Give 5*s(g) + 2*v(g).\nAnswer: -3*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(-6*18\/(-9072)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5201?\nAnswer: 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2 + 1 + 0)*(2009 - 2009 - 486*i).\nAnswer: -972*i**2 - 1458*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, -11, 4\/3, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 36.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 54. Is 1916*((-4)\/(-8))\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 2*y**2 + 5*y**2 + (-y + 0*y + 0*y)*(-29*y - 11*y + 23*y) + (-3*y + 3*y + 5*y)*(-28*y + 13*y - 12*y) in the form t*y + a*y**2 + d and give a.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4007*(-1)\/9 + (-10)\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:08 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(7\/(-84)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.2. Let o = -0.2 - -0.4. Let d = -0.7 + o. What is the second smallest value in a, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 + (-1 - -4) + -1 + (-53250 - -53248)\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 58*a + 2 - 2639*a - 485*a.\nAnswer: -3066*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 440 - 272. Suppose -5*m + 9 = o, 5*m + 2*o = 4*m. Suppose -5*l + m*x = -385, x = -2*l - x + d. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-10) + 0 + 0. Let p = -73033 - -73036. What is the third biggest value in x, p, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 8:08 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 8\/15*r**6 + 5*r + 0*r**2 + 0 + 0*r**3 + 0*r**5 + 3\/4*r**4. Find the third derivative of k(g) wrt g.\nAnswer: 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.43, 0.3, -2\/11?\nAnswer: 5.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -18*q**3 - 242. Let j(l) = -23*l. Determine j(f(p)).\nAnswer: 1242*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(204) + sqrt(204)*2)\/sqrt(12) - (3 + (-2*sqrt(204))\/sqrt(12)))**2.\nAnswer: -60*sqrt(17) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27314*w**2 + 27314*w**2 - 299*w**3 + 302*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4768*a - 3880 = 4283*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31856186991 rounded to 4 decimal places?\nAnswer: 0.3186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88165, -88380, -88599, -88822, -89049, -89280?\nAnswer: -89515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 - -12342023?\nAnswer: 12341310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 157872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 2*w**2 - 5*w**2. Let i(b) be the first derivative of -3*b**2 + 30280. Give i(l(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.968 minus 18707.1312?\nAnswer: -18721.0992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2. Give r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -156*h**2 - 1252*h - 13. Calculate z(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 + 14. Let q(b) = -12*b + 2. Let m(s) = -11*s**2 + 24*s - 4. Let k(n) = -m(n) - 2*q(n). What is a(k(z))?\nAnswer: -605*z**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28653063853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239312 smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 84\/6 - 12\/(-10 - -13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l - 68*l - 11604*l**2 - 3899*l**2.\nAnswer: -15503*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 6*t. Let f be q(-6). Suppose -3*x + 18 + f = 0. Calculate the lowest common multiple of 2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 159 - (1 - 2 - -2). Let b = p + 40. Suppose -3*g = -6*g + 54. What is the greatest common factor of g and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17863958, 17863978, 17864034, 17864144, 17864326, 17864598?\nAnswer: 17864978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - 6*r - 11. Let y be p(-5). Let h = y - -84. Let a = 17\/5 - h. Which is greater: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 m when four letters picked without replacement from bztzzmzbmgzztzgzt.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 47*r + 10*r - 7 - 3 - 60*r. Give o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4190?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 i when four letters picked without replacement from riqffqqqhq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j\/(j**(-3)\/j))\/(j**(-1\/10)\/(j*j*j**(2\/23)*j*j*j)) assuming j is positive.\nAnswer: j**(3493\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/27 - 85\/54. Let g = -337\/3 - -111. Which is the closest to 1? (a) w (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14097 and 4.\nAnswer: 56388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16325.\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/6)\/(-7))\/(2\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = 4*i, -w = 2*w + 5*i - 28. Let c = w - -3. Suppose -c*a + 12 = 4*d, -a + 18 = a - 4*d. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -882231 or -882232?\nAnswer: -882231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-12) + (-88)\/12. Let w be ((-50)\/q)\/(6\/12)*2. What is the units digit of (-75)\/w*236\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/200 - 1586\/2704) + (-4184)\/(-52)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 4:02 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2. Let w(v) = -1010017*v**2. Calculate j(w(a)).\nAnswer: -4080537361156*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42021694 and 31759.\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 15*y**2 + 34*y - 272. Give l(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 2*p**2 - 3*p + 2. Let q be u(-4). Let g = q - -37. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.21 - 1.21. Let c = 29 - t. What is the smallest value in c, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkhkkkkhhkdkkkhkdkd. Give prob of picking 3 k.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 7. Let v be w(-6). Let z be (-8)\/(-12) + (-20)\/3. Let u = v - z. Solve 4*o - 36 = 3*t - 7, -5*t + 2*o - u = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - i + 122. Let m(t) = -18*t. Calculate m(b(k)).\nAnswer: -126*k**2 + 18*k - 2196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*n - 172 = 0, -2*n + 143 = 4*r - 5*n. Let o = r + -16. Let s be o - (4\/1 + -2). What is the greatest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27023360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 36782.\nAnswer: 110346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52448985 a multiple of 877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = 2*t + 3, 5*t - 2*s = 20. Suppose n - 1 = -t*y - 46, -145 = 3*n + y. Let z = n + 53. Solve z = c + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294 or -219?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - b = -7, -5*k - 5*b + 9 = -11. Suppose 0 = 3*d - 0*d - k. Let j = -4 + d. Is -3 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 0.1, 0.0203 in ascending order.\nAnswer: 0.0203, 0.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 8. Let u be s(9). Suppose 2*d + u = 5. List the prime factors of -2 - (d + (1 - 14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.4, 5050.8?\nAnswer: 5050.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -6.\nAnswer: -6, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7318\/145 + -252\/5. Let s = 1.606 + -6.606. Let r = 46 + -416\/9. Put s, r, 3, i in decreasing order.\nAnswer: 3, i, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/140*(560\/150)\/7.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(4 + y - 4 + (-1205 + 721 + 598)*(-4 + 4 + 2*y)) to the form a*y + h and give a.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*x + 58 = 0, -4*s + 265 + 214 = -x + 553 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25042096 by -2.\nAnswer: 12521048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -28.4. Let d = 1.6 - x. What is the nearest to 2\/5 in 5, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 6*q - 2*q)*(-4*q**2 + q**2 + 4*q**2) + (q**2 + q - q)*(3*q - q + 2*q) + q**3 - q**3 + 3*q**3 in the form p*q**3 + o + c*q**2 + m*q and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2352\/686)\/((-26)\/273)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65149941 + -849164.\nAnswer: 64300777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 (base 5) in base 8?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(104)*1 + sqrt(104) + sqrt(104))*2)\/(-3*(sqrt(72) - (6*(sqrt(72) - (sqrt(72)*-1 + sqrt(72))) - sqrt(72)) - sqrt(72))).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + l - 21)*(-48*l**4 - 85*l**4 + 16*l**4) - 3*l**3 - 4*l**5 + 3*l**3.\nAnswer: -121*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -40. Suppose 6*y - 9 = 3*y. Let f be (-4)\/1*y\/6. Sort v, 3, f.\nAnswer: f, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 5}. What is prob of picking 3 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9122, 18208, 27298, 36398, 45514?\n\"Answer: s**3 - 4*s**2 + 9091*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, 1 r, and 1 a when four letters picked without replacement from {w: 1, a: 1, z: 1, r: 2, c: 1, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 1. Let d(r) = 165*r + 77. Determine -6*d(a) + 462*p(a).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-2 - 2) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + y - 15 = -0*o, o - 2*y = -20. Let a(u) be the third derivative of -u**5\/60 - 13*u**4\/24 + u**3\/6 - 2*u**2. Is a(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361, -356, -341, -310, -257?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = -5*s - 62. Let i = 82 + s. Let g(r) = -10*r + 15. Let p(w) = -w + 1. Let v(t) = 2*g(t) - 18*p(t). Calculate v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67.127 * -769\nAnswer: 51620.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 214 + (8\/6 - (-9)\/(-27)). Calculate the highest common divisor of p and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/11 - 14*z**2\/11 - 12*z\/11 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(6912) + 1 - (1*sqrt(240)\/sqrt(5) + -3)) + 5)*4.\nAnswer: -208*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(1\/4)\/c)*c)**50\/(c**(-2\/7)*c)**(-10) assuming c is positive.\nAnswer: c**(2725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meobi. What is prob of sequence oi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8259 divided by -42?\nAnswer: 2753\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -11. Let v = 1.5 - 2.3. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 7. Let c(f) = f + 3. Let w(j) = -2*j - 3. Let y(d) = -3*c(d) - 2*w(d). Give -3*t(v) - 7*y(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.4 and 18.\nAnswer: -1105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048 * 3375.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26*(-4 + (0 - 1 - -4)). Let f = 10 - l. Calculate the greatest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 11*v**2 - 5*v + 2*v - 5*v - v**3 + 3. Let a be l(-7). What is the greatest common factor of 15 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x\/(x**11*x*x))\/x))\/x**(-19) assuming x is positive.\nAnswer: x**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0707*-480744\nAnswer: -33988.6008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 18. What is the units digit of (2\/y)\/((-8)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:12 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*g = -12, 4*i - g = -2*g - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-3)\/6 + 0). Suppose -4*f - h + 67 = 0, -y*h + 33 - 120 = -5*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -352427036*q**3 - 13114358*q**2 + 7*q?\nAnswer: -2114562216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.0282 rounded to 0 decimal places?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.048616 and -0.5.\nAnswer: -0.451384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134741, -269484, -404227?\nAnswer: -538970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13584\/10 - 36\/90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20667.7 and 0.\nAnswer: -20667.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*x + 40, p - 8 = -p - 5*x. Let v be 210\/2 + -13*(-42)\/78. What is the highest common factor of p and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -22012?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 188153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let b be (-2 + y - -16)\/2. Suppose 0 = 6*m - b*m + 11. Calculate the lowest common multiple of 1 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466963.\nAnswer: 7, 19, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*p + 4. Let r = p + -52. Let a(l) = -l**2 - 4*l. Give a(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 14*t**3 - 52*t**2 + 46*t - 12.\nAnswer: 2*(t - 1)**2*(t + 6)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-48))\/(16\/(1344\/21))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 4*u + 4)*(u**4 - 7*u**4 + 4*u**4).\nAnswer: -12*u**5 - 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/10 + (-75)\/50?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -u + 98, y + 2*u = u - 52. Let n be 468\/(-81) - 4\/18. What are the prime factors of 6\/(-18) + y\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 22. Sort 4, p, 1.\nAnswer: p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8170*j**5 - 6*j**3 + 506919*j wrt j.\nAnswer: 163400*j**3 - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g, 5*w - g + 6*g = -35. Let h(o) = -2*o**3 - 19*o**2 - 26*o + 7. Let x be h(w). Is 27 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 940715859 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmppmpmpmmmmp. Give prob of picking 2 p and 1 m.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1036, -2\/15, 6, -11, -24 in decreasing order.\nAnswer: 1036, 6, 2\/11, -2\/15, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Put 3\/8, 0, f, 0.5 in ascending order.\nAnswer: 0, 3\/8, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5050 and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 816 + -819. Put 5, 0, n, -2 in ascending order.\nAnswer: n, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3*m**4\/4 - 4*m**3 - 34*m**2 + 24. Find the second derivative of s(k) wrt k.\nAnswer: -18*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105188 + -1.0531?\nAnswer: 105186.9469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566171 is divided by 240.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3441, 6881, 10321, 13761, 17201?\n\"Answer: 3440*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -21. Suppose s = d + 4*d. Solve -10 = -4*r - 3*t, -r + 4*r - 2*t - 16 = d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 6*g**2 + 11*g. Let x(s) = -3*s**3 - 5*s**2 - 11*s. Let y(w) = -5*n(w) - 6*x(w). Find the second derivative of y(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47516, -102426, -157336, -212246?\nAnswer: -267156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -970 (base 14) to base 4\nAnswer: -131012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 + 3)*(-18 + 5 - 16)*(-3*h + 3*h - 3*h**3) to t*h + l*h**2 + i*h**3 + w and give i.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l - 10 + 7*l**2 - 2*l + 5*l. Suppose -14*f + 120 = 22. Is w(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*2\/(-4). Let f = -638 - -638.1. Which is the closest to f? (a) n (b) -1\/10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**8\/560 - u**6\/60 + u**4\/8 + u**3\/3 - 4*u**2. Let h(o) be the first derivative of k(o). Factor h(y).\nAnswer: 3*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 136822*g**4 + 1 + 9*g**2 + g**3 + 3 - 7*g**2 - 136940*g**4 as z + t*g + i*g**2 + d*g**4 + a*g**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*x + 54851 = 54831, g = -3*x + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 3*c - 5*c - 6564 + 6564.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z - z - 2*z + 2*z**2 to the form l*z**2 + p*z + n and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -325, -1117, -2663, -5215, -9025, -14345?\nAnswer: -21427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 15.4. Let y = 15.18 - p. Let h = 1052 - 1049. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -231, -459, -687?\n\"Answer: -228*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/11 - 406*v**4\/11 + 7834*v**3\/11 - 34730*v**2\/11 + 27300*v\/11 = 0. What is v?\nAnswer: 0, 1, 5, 15, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 3*i - 1. Let o = 12 + -17. Give d(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11997 = 219*v - 2457. What is the highest common factor of v and 5874?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivi when three letters picked without replacement from eekiffiv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03892 - -0.03891987332. What is h rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-10)*j\/((j*j\/j**13*j)\/j*j) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*r**5 - 25*r**2 - 444*r.\nAnswer: -1060*r**3 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332275*r - 666122*r - 666136*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 167. Sort 0, 2, 3, f in decreasing order.\nAnswer: f, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c*r**2 + 548817*c*r + 9131051*c + 2*r**2 - 4 with respect to r.\nAnswer: -20*c*r + 548817*c + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/75561 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 477\/5 + -95. Let r = -231\/5 - -46. Let c = -27\/4 - -127\/20. What is the third smallest value in g, c, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3410858*q - 2392903 wrt q?\nAnswer: 3410858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.3 - -40. Let w = u - -6.3. Let m = -0.1 + 2.1. Is m <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 81 = -d + 120, 7*b + 3*d = 119 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-76)\/5)\/((-178)\/5785) is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*r = -5, 3*p - p = -4*r + 2. Suppose 5 - p = 2*n. What is the smallest common multiple of 9 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 242 - 178?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + -4)\/1 + -3. Let z(o) = 2*o + 8. Let l be z(6). Suppose 4*x - l = -x. Solve -8 = -y*t + 2*u, u = x*t - t - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 1836237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 3*y + 2*y + 25 - 6*y to a + q*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*f - 59, 2*f = -6*u + u + 11. Suppose -r = -3 + f. Let o be (-245)\/r - (-3)\/(-6). Calculate the highest common divisor of o and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3203 + 189*g**2 - 4*g**3 + 13*g**3 + 3204.\nAnswer: 9*g**3 + 189*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + i + 24, 9*a - 7*a = -4*i - 6. Suppose a*w = 2*b - 368 + 923, w + b = 118. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -72\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:23 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*w**5 - 6*w**3 - 1299*w wrt w.\nAnswer: 1780*w**3 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8736\/5 or -1748?\nAnswer: -8736\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2340 + -2?\nAnswer: -2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 + 19*f - 12. Let x(v) = 5*v**2 + 8*v - 6. Calculate 3*l(h) - 7*x(h).\nAnswer: -2*h**2 + h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*z = -8, 5*w + 9 = -z - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -33. Let y(i) = 2*i**3 - 4*i**3 + 1 + 0*i**3 + i**2 + i. Calculate the remainder when y(c) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 + 612. Calculate the remainder when 40\/30 - (u\/(-9) + 1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1248 - 243621?\nAnswer: -244870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407981 is divided by 802657.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4\/5 - 438*j**3\/5 + 15543*j**2\/5 + 32412*j\/5 + 16428\/5 = 0. Calculate j.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:26 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -60. Determine i so that -1\/4*i**2 + 1\/4 + c*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - 3.05. Let g = 177255 - 177255.08. What is the nearest to 0.09 in b, 1\/8, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1796\/756773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 719918587.9 to the nearest one hundred thousand.\nAnswer: 719900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 233158211 - -5?\nAnswer: 233158216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29132, -57939, -86746, -115553?\n\"Answer: -28807*n - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/25)\/a*a)**(-13) assuming a is positive.\nAnswer: a**(-299\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Suppose 5*n = -5*j + 30, -n + d*n - 5 = 0. Solve 3*y = f - 10, -2*y - 2 - j = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3958.294 milligrams to micrograms.\nAnswer: 3958294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 52\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 2849.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -57, 1, 8, 2, -93.\nAnswer: -93, -57, 1, 2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 2*c - c + 4*c + 6. Let l be (-3 - 2)*(-16)\/20. Suppose -3*i = -2*i + l. Let f(j) = -2*j + 5. Determine i*a(d) + 5*f(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16\/40*(10\/12)\/(65\/117)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15656 divided by -103?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 205\/20 - 2\/8. Suppose -2*p = g - 4, 2*g - 5*p = 6*g - j. Let f = -1855\/24 + 233\/3. Are g and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 676?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 79105858?\nAnswer: -79105862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11530448 and 75\/8?\nAnswer: 11530448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2699727 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*3*(-2*sqrt(85) - sqrt(85)))\/(6*((sqrt(500) - ((-2*sqrt(500) + sqrt(500) - sqrt(500)) + sqrt(500))) + sqrt(500))).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6366141 divided by -707349?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 858.31 * 90.\nAnswer: 77247.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64180 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201403 + 2?\nAnswer: -201401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:51 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 1, b: 2, p: 1, x: 1, f: 2}. Give prob of picking 1 f, 1 p, 1 b, and 1 k.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/30 + 7*i**5\/4 + 4363*i**3\/6 - 3779*i**2 - 1. Differentiate l(p) with respect to p.\nAnswer: 28*p**3 + 210*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6145 times 1250?\nAnswer: -24518.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6971*f**2*p**2 - f**2*p*w + 56*f*p**2*w - 4*f*p - 2*f*w + f - 2*p**2 wrt f?\nAnswer: -13942*p**2 - 2*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1091*z + 21 = 1092*z, 2*z - 6 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 984396.3 centuries in years?\nAnswer: 98439630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*m + 11 + 5, 3*m = v. Suppose -2*n = 8 + 14. Let o = n + 15. What is the remainder when v is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478 = -13*r - 489 + 993, c - 5*r + 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(6\/(-4) + 2). Let h(g) = -g. Let x(n) = 4*n**2 - 10*n. Let d(k) = -10*h(k) + x(k). Calculate the remainder when 61 is divided by d(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6, 4*z - 4*b - 24 = 8. Suppose -4*r + 9 = -z*o - 3*r, 4*o + 7 = r. Let k(d) be the second derivative of d**3\/3 + d**2 - d. Give k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/5)\/((-3)\/(-15)). Let z = -351\/11 - o. Put -5, z, -2\/7 in decreasing order.\nAnswer: z, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2, -3*w - 13*w + 4*s - 89 = 7*w + 8*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + (2 - (5 + -8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1093 divided by -211\nAnswer: 1093\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/241979 or -59\/6?\nAnswer: -59\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.5. What is the nearest to 1 in -3, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) + (-3 - -3). Let c = -354 + 353.9. What is the nearest to c in -2\/9, 5, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 15*o - 3. Let n(y) = -y**2 + y - 6. Let h be n(0). Let f be k(h). Suppose 45 = 5*g - f. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/6071465 or -1?\nAnswer: 3\/6071465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u + 5*u + 2*u**2 + 17*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 3*g - 2*g**2 + 1\/10*g**5 + 1\/15*g**6 + 0 - 1\/2*g**4 - 5\/3*g**3. Factor k(s).\nAnswer: 2*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10634 divided by -818\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = 66. What is the smallest common multiple of 52 and g?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85862233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1056 and -83\/24?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22270500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 3, -18, -4, -37 in ascending order.\nAnswer: -37, -18, -7, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212989 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, e: 1, l: 8, h: 4}. Give prob of sequence aaa.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107)\/(-428)*(-175 - 1) + 3)\/((-18)\/(-36))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 3*t**2 + 5*t - 3. Let a be x(3). Let j = -92 - -95. Is 1\/((a\/4604)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2*r**2 + 4*r + 3. Let s be g(-3). Suppose 0 = 2*f - s*p + 2*p - 8, -5*p = -3*f + 52. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/73904 and 17\/13986332.\nAnswer: 55945328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, -47, 1.6666?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1251020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/8))**(-28) assuming k is positive.\nAnswer: k**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1116*c - 2267. What is q(-3)?\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - 69999.8611188?\nAnswer: -69907.8611188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjzspszjjj. Give prob of picking 1 p, 1 z, and 1 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiyyfyiyiyziiiyyyzf. What is prob of picking 1 i, 1 y, and 1 z?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2949 = 42*p - 8*p - 1521 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4, -t + 9 - 5 = 2*m. Let w(h) = -h - 5. Calculate w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -278? (a) 1\/5 (b) 2 (c) 10.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2 + 1452*u + 14420 = 0?\nAnswer: -1442, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*q + 242, -30*q + 53*q - 24*q - 26*a = -74 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551\/(-44)*(-20)\/(-15)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/11 (b) 5 (c) -2 (d) -1156 (e) 0.13 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aook when four letters picked without replacement from {a: 1, e: 3, k: 3, o: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 220025?\nAnswer: 440050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rynrkta. What is prob of sequence tr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*w + 1094 = 0, -m - 4*w - 529 = -9*w. Let y = m - -1652\/3. Is 8 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 19*d**2 + d - 20*d**2 - 3*d + (149 - 56*d - 149)*(0*d - 2*d + 4*d).\nAnswer: -113*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -74*h**2 - 528*h - 544. What is k(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-60640.\nAnswer: -6064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/25*(-75)\/(-330).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22a08bb + 7?\nAnswer: 22a0906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 0*t - 2*t + 0 - 3 = 0, 3*t = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-7238)\/(-4136).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65260277011 - 0.1.\nAnswer: -65260277011.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -37. Does 35 divide s\/(-7) - ((-53024)\/(-56))\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 103.60649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*q + 635, -8 + 9 = -v. Is 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 -3919*r**2*u**2 - r**2 - 75*r*u + 3*r wrt u.\nAnswer: -7838*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -252*j*s - 103*j + 3*s**4 + 2*s + 2 wrt s.\nAnswer: -252*j + 12*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 16*d**2. Let j(h) = -h**2 - h + 0*h + h. Determine n(j(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 8*m**2 + 0 + 0*m**3 + 1\/12*m**4 + 0*m. Let b(l) = 4*l. Calculate b(z(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2126 = 2838. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 28. Suppose 2*p - j = -2*t, 4*t = 5*p + 18 + 5. Suppose 0 = -4*u + 4*z + 200, -2*u = -t*z + 3*z - 92. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/((-5670)\/(-225)) - 2\/3*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20246 and 39538.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1976190 by -395238.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011012131223 - 2?\nAnswer: 3011012131221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.361410227 rounded to 4 dps?\nAnswer: -17.3614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/(-40) - -16)*(-15)\/3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**3 + 11*h**3 + h + 3*h**3 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -602557774371?\nAnswer: -602557774370.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754 >= 1754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83188006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 18 + 18 + 18 - 14*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3917 at most -3937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5 + (sqrt(1216) + -2 + 1 - sqrt(1216) - sqrt(1216)) + 2 + (sqrt(1216)*-1 - sqrt(1216)))*1)**2*-4.\nAnswer: -43780 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1350 + 2718. Does 57 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.764 + -0.236. Which is the second biggest value? (a) 0 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 - 129*d**2 - 4091*d - 11161. Let r(m) = 20*m**3 - 776*m**2 - 24548*m - 66965. Let a(v) = 39*h(v) - 6*r(v). Factor a(o).\nAnswer: -3*(o + 3)*(o + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3258707 grams in kilograms?\nAnswer: 0.0003258707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6579157999*c + 1862*c**2 - 6579157999*c.\nAnswer: 1862*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 53. Give d(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/3 - z**2 - 5*z + 19. Let l be h(3). Put l, 5, -4, 2 in increasing order.\nAnswer: -4, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 251 + 10*q - 124 - 127.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-8\/7)*o*o*o\/((o*o\/(o*o\/o**(-1\/2))*o*o)\/o)*o)**(-26\/9)*(o*o**(-1\/4))**38\/(o\/o**(1\/4)*o*o)**12 assuming o is positive.\nAnswer: o**(-2621\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3600 and 3872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(((n**5\/n)\/n)\/n)\/n)*n*n**3\/n*n)**(-49) assuming n is positive.\nAnswer: n**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*j = -670*j - 6345 - 24469 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 - 2 + (-4 + 1 + 0)*(-52 - 19 + 7))*(-6*h**3 + h**3 + 3*h**3) as f*h + i*h**2 + u*h**3 + p and give u.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 2*c. Let f(j) = j**3 + 16*j**2 + 6*j. Let v(a) = 4*f(a) - 11*x(a). Let v(b) = 0. Calculate b.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72135 is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236211 (base 8) to base 5.\nAnswer: -10043113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 5768*r**2 - 2*r - 5768.\nAnswer: 2*(r - 1)*(r + 1)*(r + 2884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 2*x**2 - x - 1. Calculate q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 198835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 491.85 and -38192.\nAnswer: -37700.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/21 and -12\/22939?\nAnswer: 68817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 189403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25383 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3502164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*s + 462 = 67*s - 1100 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 347, 4, -0.4, 3, 0.05, -2, 0.33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 + 3*g**2 + 8*g + 3. Let w(y) = 49*y**3 + 0 - 1 - 90*y**3 + 40*y**3 - y**2 + y. What is -j(a) - 3*w(a)?\nAnswer: -a**3 - 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/104)\/(1*(-15)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 37. Let w be q(6). Let z = 59 + w. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158560.\nAnswer: 2, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 15*i + 6. Suppose 7*s = 20 - 76. What are the prime factors of m(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -20*g**3 - 8*g**2. Let c(s) = -7*s**3 - 3*s**2. What is 8*c(q) - 3*k(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2124, -4, -5, 5 in descending order.\nAnswer: 2124, 5, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -607 - -1562. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c667 - -2?\nAnswer: -c665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30956 or 30962?\nAnswer: 30956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:11 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402143781 to the power of 1\/2, to the nearest integer?\nAnswer: 49012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 19847542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24932222.\nAnswer: 2, 7, 1780873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.14, 1, -3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1130416 by -4.\nAnswer: 282604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 442 = 14*w + p, 0 = 4*w + 5*p + 1741. Let i = w + 881\/2. Let 1\/2 - i*h**5 + 5\/4*h**2 - 9\/4*h - 7\/4*h**4 + 15\/4*h**3 = 0. What is h?\nAnswer: -2, -1, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3432 or 2486?\nAnswer: 3432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -w - w, -w - 18 = 5*t. Let j be 1 + 7 + 12\/t. Solve -j*g + x = 13, 5*g - 3*x - 2 = -7*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306650945164 take away -13.9?\nAnswer: -306650945150.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23652 bigger than 10.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 12*r - 18. Is w(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o + 1 - 6*o - 4*o - 4*o - o + o + (-3 + o + 3)*(-1 + 3 - 6) + 1 - 1 + 6*o + (0*o + 5*o - 3*o)*(3 - 4 - 1).\nAnswer: -10*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.012, -5?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*r + 110, 4*b + 4*r - 7 - 69 = 0. Suppose -b = -z + 3*h, h = -2*z + 5*z - 48. Suppose -1 = -2*d + 4*x + z, -3*d - 4*x + 24 = 0. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186685340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 2. Let z be ((-15)\/105)\/(2\/(-14)). Let s(r) = 12 - 4*r + 8*r - 11 + z. What is 6*f(c) - 7*s(c)?\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1361 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let l(h) = -2*h - f*h + 6*h. Let x(z) = -z**2. What is x(l(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 122992\/546 - (-2)\/(-7). Let x(m) = 2*m**3 + 20*m**2 - 43*m - 6. Let l be x(-11). Let u = l - o. Are u and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 252 + 231 = 3*j, -5*t = -2*t + 18 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14982 and 152544?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1139 + 748 = -26*o - 625 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*u + 4*g, -2*g = u - 3*u. Let q(f) = -97*f**3 - 6*f**2 - 2*f - 1. Let t be q(u). Suppose p + w = 1273, 2*p = -0*p + 4*w + t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*34\/170.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*x - 1\/5*x**2 - 3.\nAnswer: -(x + 1)*(x + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 28968*w - 14138*w - 18724*w as d + i*w and give i.\nAnswer: -3894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.035 and -9849.\nAnswer: 344.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682 = -q - 5*b - 669, 3*q + 3*b + 9 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/2*20\/(-7). Let s be w\/(-15) - (-1)\/(-3). What is the units digit of (-150)\/(-36) - s\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2631 + 3.2631. Let x = 1.6 - 2. What is the nearest to 0.1 in x, z, 3.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -26 - (-249)\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y**2. Let d(v) be the third derivative of -1\/24*v**4 + 43*v**2 + 0 + 0*v**3 + 0*v. Determine k(d(u)).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*b = -1, 3*g = 2*g - 5*b - 7. Suppose -5*d - 5*x + 4*x - 33 = 0, -3*d - 27 = -g*x. Let n be 2*d\/2*-1. Solve r - 2*m = 5*r, -r - 4*m = -n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2. Suppose 9 = -3*i, -i = -3*o - 0*i + 18. Suppose 3*n = n - 4, 2*n = -o*c + 21. Let l(h) = 3*h + 3*h - c*h. Give r(l(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let w(i) = -93*i + 744. Let a(b) = -b + 2. Let f(s) = 372*a(s) - w(s). What is v(f(p))?\nAnswer: -558*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(80)*-3 + 0 + (sqrt(80)*-2 - sqrt(80)) + 0)**2*5.\nAnswer: -720*sqrt(5) + 14445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -381 in 3, 800, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69981 + -2?\nAnswer: 6997b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n - 36. Suppose -10*y + 136 = -n*y. Let s = -341\/5 - y. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949682199?\nAnswer: 137, 21530527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(13))*-2 + sqrt(13))*-6.\nAnswer: -30 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 261, 273, 291?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 - s**3 + 7*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**4 - 2*q**3 + 3*q. Let m(g) = g**3 - g. Let x(k) = k**2 - 11*k + 12. Let t be x(10). Let u(l) = t*r(l) + 6*m(l). Factor u(h).\nAnswer: 2*h**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 6:07 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 83*l - 29)*(2*l + 0*l - l + 3).\nAnswer: 83*l**2 + 249*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 2*j - 18, 17234*v - 17231*v - 4*j = 36 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 2*t**2 + 2*t - 1. Let b(p) = 2*p**3 + 2*p**2 + 2*p - 1. Let j(n) = -4*b(n) + 5*z(n). Suppose -4*a + 7 = -1. Give j(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40712743 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 10 (b) 51 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 2. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -28 + 34. Let u(j) = -j**3 - 6*j**2 + 2*j + 7. Calculate u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -32 + (15 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -915 + 2770 = 5*v. Suppose -4*f - 3*z = 92 - v, -3 = -3*z. Suppose -3*j - f = -3*h, h - j = 4*h - 69. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:04 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319652 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*g + s, -4*s = 2*g - 7*g + 40. Suppose 216*o + 75*o = 29*o + 4192. Solve -g*b - 4*p = o, 3*p = 5*b - p + 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -593*s**5\/2 - 1987*s**4\/4 - 3715*s. What is the third derivative of l(c) wrt c?\nAnswer: -35580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831.06 micrometers in centimeters?\nAnswer: 0.683106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**4 + t**3 + 14*t**2 - t + 2. Let x(z) = -5*z**4 - 260*z**3 + 70*z**2 - 5*z - 5203. Let r(n) = 5*b(n) - x(n). Differentiate r(w) wrt w.\nAnswer: 40*w**3 + 795*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jjkljlljjkkjkjkkkj.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 146\/11 - (10 - 12). Let c = f + -941\/22. What is the common denominator of (148\/(-176))\/(1\/(-4)) and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**2*o - 191*m**2 + 6*o wrt o.\nAnswer: -3*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -136\/6519853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215 - -1099. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(((-266)\/399)\/((-28)\/(-6))*-14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 12 = 2*b + 6, 2*b - 3 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 4\/(-28)*-6*7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 7. Let o be j(-6). Let a be (-3)\/o*(0 + 2). Suppose 8*s - a*s - 178 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4117\nAnswer: -4117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:51 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14838536\/47 or 315714?\nAnswer: 315714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 1760.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 89726, 179466, 269216, 358976, 448746, 538526, 628316?\n\"Answer: 5*t**2 + 89725*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 0.6, 0.5, -0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-3)\/(-9)*0. Let y = -19912\/7 + 2840. Let r = y + 30\/7. Put b, r, 0.2 in decreasing order.\nAnswer: b, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 - 44472*k**4 - 44480*k**3 + 44472*k**2 + 44476*k = 0.\nAnswer: -1, 0, 1, 11119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 13*k**2 + 15*k - 13. Let n be p(12). Let a = -66 + 55. Let l = n + a. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -691*d + 165*d - 1 - 2 to the form b + f*d and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f**4 - 25*f**3 - 10*f**2 + 117*f - 3. Let m(s) = -13*s**4 + 25*s**3 + 10*s**2 - 116*s + 4. Let t(a) = 4*i(a) + 3*m(a). Solve t(v) = 0.\nAnswer: -2, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p**2 + 4*p)*(-1 - 3 + 3) + 7*p**2 + 3*p**2 - 2*p**2 - p**2 + p**2 - 2*p**2 + (2 + 2*p - 3 + 3)*(-5 - 24*p + 0 + 25*p).\nAnswer: 9*p**2 - 8*p - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3\/3 + 5*r**2 - 7*r + 19. Let p be m(9). Let u = 4 + -1. Solve -p*l + u + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 5:33 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - ((-90)\/(-252))\/5. Factor 0*j - n*j**5 + 0*j**2 + 3\/7*j**3 + 0*j**4 + 0.\nAnswer: -3*j**3*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 - 81 - (-3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Suppose -4*s + 2*k + 252 = c, -5*k = s + s - 126. Suppose 3 = -5*b + s. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-20) + 3)\/(648\/1800)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 9. Let c be t(-6). Calculate the remainder when ((-2)\/c)\/(12\/(-1026)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*u - 5*u - 26, -5*u - 2*b = 27 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188309 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) - 40\/(-15). Solve 2*n = 4*n - a + 6, 2*a = j*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 5*r + 366. What is the remainder when 133 is divided by v(21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/3 + 17\/(-3) + 5. Suppose -b = -2*k + 5. Let j be (-2 - 8144\/k)\/(2\/240). What is j rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44371551 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -119*n**2 - 12*n**2 + 68*n**2. Let a(u) = -2*u**2. Give a(g(h)).\nAnswer: -7938*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 4*u + u + 30 as l*u + o and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433695889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15. Let j = -4\/45 - -58\/45. Which is greater: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -77, -191, -351, -557, -809, -1107?\n\"Answer: -23*j**2 + j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/252 + -6*2\/(-9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2153?\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 112 = -3*f + 3*w, -f - 10 = -4*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 10.9. Let d be 4 + 0 - 130\/35. What is the closest to -1\/3 in n, d, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32257 bigger than -32213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 78 and 75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f - 9. Let o(i) = -3*i - 4. Let l(a) = -9*o(a) + 4*q(a). Let w(m) = 7*m**2 + 2. What is w(l(p))?\nAnswer: 7*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 0.1 (c) -2 (d) 7\/10 (e) 14 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/693 + 4175\/11781. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -104?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (-4*1*sqrt(180))**2 + sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180) + 2)) + sqrt(180) + 0 + -1 + sqrt(20) + (3*sqrt(140))\/sqrt(7))*-4.\nAnswer: -11508 - 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66850139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(4 + 4*(sqrt(1573) + sqrt(1573)*2)*-1 + -1)**2*4.\nAnswer: -5436507 + 19008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-21)\/(-14)*2. Let g = 12 - 2. Suppose 6 = 3*y - y. Solve -y*p - j*p = -g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/6*((-42)\/(-735))\/(19\/(-285)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 427570.5s?\nAnswer: 7126.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75072239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.726281 decades?\nAnswer: 87.15372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*n = -8, -4*m - 5 = -4*n + 3. Let s(f) = 7*f**2 + 26*f + 6. Let x(u) = -4*u**2 - 13*u - 3. Let o(b) = m*s(b) - 5*x(b). Is o(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905 is divided by 476.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**4 - 4*h**2 - 388 wrt h?\nAnswer: 24*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507290479?\nAnswer: 31, 43, 380563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose 0 = -b + 2*t + 4, 4*b - f*t - 4 = -t. Suppose s - 5*g = -2*s, -5*g = s. Solve s*m - 2*m + 8 = b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-17)*f)\/f)**3 assuming f is positive.\nAnswer: f**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -47555 less than or equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 16.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 3. Let s be i(8). Let t = -149\/8 - s. Sort -0.4, -5, t.\nAnswer: -5, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -13*f**6\/10 + f**4\/12 + 17*f**2 - 66*f. Differentiate m(q) wrt q.\nAnswer: -156*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6002 - 7061?\nAnswer: -15063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6066360 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -97, -159, -219?\n\"Answer: a**2 - 67*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10773 = -1100*z + 587*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/191730 and 8\/3465.\nAnswer: 575190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -2*m**5\/45 - 5*m**4\/18 - 2*m**3\/3 - 7*m**2\/9 - 4*m\/9 - 15. Let w(c) = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0 + 25*n**2 + 5\/672*n**8 - 1\/48*n**6 + 0*n + 0*n**5 + 0*n**7 + 0*n**3 + 0*n**4. Factor r(z).\nAnswer: 5*z**3*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 - 303. Suppose 21*v + j = 29*v. Solve 4 = v*h - 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8819, -0.3, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02983*9\nAnswer: 0.26847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 349*o + 28. Let n(f) = 6*f**2 - 348*f + 35. Let a(b) = -4*n(b) + 5*t(b). Factor a(q).\nAnswer: q*(q - 353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2897*n - 513. Is d(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -3. Let x = -0.03 + -1.97. Let h = -1.5 - x. Which is the nearest to n? (a) -5 (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 + 104*n**2 - n - 576. Let o(j) = -25*j**3 - 526*j**2 + 6*j + 2878. Let y(u) = -11*g(u) - 2*o(u). Find the second derivative of y(s) wrt s.\nAnswer: -30*s - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 25*x**2 - 2\/3*x**4 - 23\/6*x**3 + 0*x + 0. Is 14 a factor of j(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -2108319.452?\nAnswer: -2108319.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-9)*(-10)\/50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -70, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 0.2, -0.07089, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38090, -38628, -39166, -39704, -40242?\n\"Answer: -538*i - 37552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3731611l to millilitres.\nAnswer: 373.1611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-6 - (-63)\/(-63))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*j - 10*j + 7*j + (-j + j + j)*(-1 + 4 - 1).\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjnjndjjndj. What is prob of sequence njn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llcml. Give prob of picking 3 l and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from eelllttetletlellets.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2478, -2628, -2778, -2928, -3078?\nAnswer: -3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 4. Calculate f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w**2 + 1. Let h(a) = -2*a**3 - a**2 - 1. Determine -4*h(c) - 4*i(c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2209338 to the nearest 10000.\nAnswer: 2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, l: 3}. What is prob of sequence leel?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5442681\nAnswer: -4\/5442681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66875.45 millilitres in litres?\nAnswer: 66.87545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z - 19. Let y be n(0). Let h = -4 - y. Let o(w) = 29*w**3 + w**2 - 3*w + 3. Let b be o(1). Calculate the greatest common divisor of b and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*r - 484*r = 400 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8310830 is divided by 99?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11644571*o**3 + 5*o - 11644687*o**3 - 5*o.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = 0, 2*z - 2018 = -z - o. Let q = -299 + z. Calculate the highest common divisor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microsecond in nanoseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + c - 1. Suppose 15*u - 14 = 31. Let w(z) = -5*z**2 + z + 5. Let a(o) = u*y(o) + w(o). Calculate a(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 142, 243, 350, 463, 582?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 6*q - 19 + 38 - 101 + 39.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2286 and 193548.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(9\/3)\/6. Let p be (-503 - -461)\/(6\/(-3) - -1). Which is the second biggest value? (a) 2 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 513 = -3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4018 and 98.\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212120 (base 5) to base 12.\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/110)\/(27\/((-675)\/20)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 64 = -36*q - 104 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Let i = 1976 - 167958\/85. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 = l + 589 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -164181 (base 9) in base 14?\nAnswer: -28dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*-3*-5)\/(1*sqrt(720)*3)*3.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165555739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111201 (base 5) to base 13.\nAnswer: -1301b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 4, e: 5}. Give prob of picking 2 e.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 8833715.\nAnswer: -1\/8833715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*p**4 + 0 + 4\/5*p - 4\/5*p**3 + 2\/5*p**2 = 0. Calculate p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 170.125 - 148.7. Let l = 19.4 - w. Let g = l + 0.025. Put -3, 0, g in descending order.\nAnswer: 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 81, -10\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 4*a + 4*a + (2 - 2 + 2*a**2)*(-5*a - a + 4*a) + 3*a**3 - a**3 + 6*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**6\/72 + 5*b**5\/12 - 125*b**4\/24 - 2*b**3\/3 - 3*b**2 - 29*b. Let j(g) be the second derivative of l(g). Factor j(o).\nAnswer: -5*(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47026899 a multiple of 853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 13364 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 100220016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 569087762*v**2 - 14603*v - 19719?\nAnswer: 1138175524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20075, 20069, 20061, 20051, 20039, 20025?\n\"Answer: -y**2 - 3*y + 20079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 14 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -3, -3.3, -2\/9, 0.3, 48?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -159983 - -2?\nAnswer: -159981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*s - 1 = 0, 0 = -5*y - s + 6*s - 5. Suppose -4*a + y*r - 542802 = 0, -r = -10*a + 12*a + 271399. What is a rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*z + 6. Let n be (z + -5 + 3)\/(-1). Suppose -4*b + b + 159 = n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1. Let h(s) = s**2 + 5*s + 5. Let d(r) = h(r) + 6*w(r). Let n(u) = -4*u**2 + 6*u + 7. Let l be -32*3\/(-12) + -9. Give l*n(g) - 6*d(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z = 57*z - y + 12, -7*z + 4*y = -29 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb0 (base 13) in base 6?\nAnswer: -13134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*-5*2\/6. Suppose -c - 93995 = w*q, -2*c + 4*q = c + 282004. Round c to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o + o + (-o - 3*o + 3*o)*(-3 - 3 + 4) + 0*o + 3*o - 2*o + 1 - o - 1 - 4*o + 0*o + 3*o - 84*o + 1 + 57*o + 55*o.\nAnswer: 30*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Suppose -4 = 2*h - 0. Let l be (-5)\/((-2)\/h + 0). What is the second smallest value in l, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/6)\/(-10)*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -560 - -254. Let w = f - -440. What are the prime factors of w?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/780 - h**5\/390 - 3*h**2. Determine w, given that s(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -0.5 (c) -0.03 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23368742 and -621028.\nAnswer: -23989770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11903 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 51355.\nAnswer: -3\/51355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {g: 5, c: 1, o: 1, w: 10, i: 3}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311433313 (base 5) to base 11.\nAnswer: -7a5033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 + -93. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11\/8)\/z**(-20) assuming z is positive.\nAnswer: z**(149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17472\/(-4576)*44\/3\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -28*s + 197. Let u be l(7). Sort 15, -2, u in ascending order.\nAnswer: -2, u, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - 20?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294624*m**3*x**2 + 3*m**2*x**2 + 1376*x**2 - 5*x wrt m.\nAnswer: -1767744*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s - 2*s - 4*s + (-3 + 5 - 1)*(2 - 2 - 2*s + (-2*s - 2*s + 3*s)*(4 - 1 - 5) - 1 + 2*s + 1 - 2*s - s + 5*s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 20*n - 37*n = 2*j - 17, -2*n + 7*j = 46 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110189 is divided by 327.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3 + 1)*-1. Suppose 5*j = -r*b + 42, -b + 15 = j + 2*b. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7449 + -7446. Let r(d) = -2*d + 8. Let f(z) = 3*z - 12. Let x(l) = -5*f(l) - 8*r(l). Let g be x(4). Which is the closest to -2? (a) p (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*k - 46*k + 21*k - 73*k to i*k + o and give i.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 2:09 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2. Let h(d) = -5*d - 4. Let m(y) = 6*y + 6. Let v = 230 - 226. Let o(i) = v*m(i) + 6*h(i). Determine l(o(t)).\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 10*z**2 - 11*z. Let w be r(-11). Suppose w = 7*l - 2*l - 5. Sort -4, l, 13 in decreasing order.\nAnswer: 13, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 35*c. Let x(n) = -n**3 + n**2 - n. What is v(w) - 2*x(w)?\nAnswer: 2*w**3 + 37*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16829967 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: What is the value of (-16 + 40 - 96) + 16 + 8 + 0 + 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 167899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4308, 0.08, 5, -0.1, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 383*a - 293. Calculate l(-95).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12452*w + 36372. Calculate j(-3).\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-50) - 6\/(-24)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3326458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:49 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 43 (c) 1 (d) 0.1 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17\/(-30))\/(-17))\/((34\/(-5))\/17)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 186*h. Let r(f) = f - 2. Let x(t) = -2*t**2 - 7*t + 14. Let p(o) = 14*r(o) + 2*x(o). What is b(p(w))?\nAnswer: -744*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 35547810*p - 497668360.\nAnswer: -5*(p + 14)*(p + 7109548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0 + 10 = 0. Suppose 2*a + 7 = -3*l - 1, 0 = v*a + 5*l + 20. Let w be a - -1 - 12\/(-4). Solve w = -2*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/((-4)\/(-11264)). What is the tens digit of f\/56 + 2\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) + (-3945)\/(-30). Let h = k - -663. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m + 4*m + (3 - 6 + 1)*(-2*m + 2*m + 2*m) + 5 - 24 - 23 + m - 12*m + 7*m - 5*m)*(5 - 4 - 4).\nAnswer: 42*m + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.9 - 17.9. Which is the second biggest value? (a) y (b) -5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 15, -2, 3, -7 in increasing order.\nAnswer: -7, -4, -2, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17860625 is divided by 435625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/3)*z))**27)**(-2\/69)\/(z**(-2)\/(z**(-1)\/z)*z**(-9)\/(z*z**(-3)*z)) assuming z is positive.\nAnswer: z**(190\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*q + 21*q + 14*q + 22*q + 18*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 691, 5535, 18679, 44269, 86451, 149371?\nAnswer: 237175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f0 + -1?\nAnswer: ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/20)\/(8\/800*8).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*d - 231*d = 188 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**8\/1008 + 2*o**7\/315 + o**6\/360 - o**5\/30 + 1590*o**2. Solve r(z) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m**2 - 14*m + 1. Let x be u(-1). Solve -x*r = -3*k + 2, -3*k - 2*k - r = 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2. Let v(w) = -w - 29 - 27 + 56. Determine j(v(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.05 to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*l + 3*g, 0 = -3*l - 5*g - 401 + 437 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 255411217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = -3*s - 289. Suppose s*y = -9 + 129. Solve 0 = -3*h + 3*m - 19 - 8, -3*h - 3 = y*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 2\/3, 3, -112, -2?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 54551 (base 13) to base 4\nAnswer: 211032320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 123130313 (base 4) to base 14\nAnswer: 2cd95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 12*c + 48. Let b be g(-15). Find i such that 7\/4*i**2 - 1\/4 - 1\/2*i - i**b = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/17325540 and -151\/3465108.\nAnswer: 17325540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4456 + -0.2293727\nAnswer: -4456.2293727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-9) + (-10)\/15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -146611?\nAnswer: -146611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 30 + 48 = 5*q + 64, 6 = 3*q + y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -15*t + 1. Let z be g(2). Let b = -18 - z. Let x = 23 - b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-81)\/(-181926))\/((-2)\/8). Is l at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2 - 3679*o + 115622.\nAnswer: 4*o - 3679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389680 (base 12) to base 15.\nAnswer: 135366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*d - 10. Let i(a) = -a**3 - 4*a**2 + 7. Let w be i(-4). Let s = -12 + w. Sort d, 0, s in decreasing order.\nAnswer: d, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18069?\nAnswer: 3, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - -103. Let z = -70 + t. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325853842 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3071.612967 - 0.5\nAnswer: 3071.112967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -215?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9345923580 to the nearest one hundred thousand.\nAnswer: -9345900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105363475*q**6 - 10769714*q**2.\nAnswer: -12643617000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 44 = 16. Let c(y) = -2*y**3 - 3*y**2 + 23*y + 14. Let g be c(-4). Solve 2*x**2 - t*x**3 + 5*x**2 + 0*x**g + x**2 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51697*a + 51672*a - 906 = 644 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - n - 1. Let r(l) = 25*l - 105. Let h be r(5). Suppose -17*c + 21*c + h = 0. Determine g(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.1 and -3438.\nAnswer: 31285.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 63*y**2 + 0*y + 0 + 1\/480*y**6 + 1\/15*y**5 + 2\/3*y**4 + 0*y**3. Factor o(r).\nAnswer: r*(r + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38237866221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.109 to 2 dps.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5356 (base 8) in base 2?\nAnswer: -101011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*2*-2*1\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l**(2\/7))\/l))\/l*l**(-1\/2)\/l*l**(-11)*l**4 assuming l is positive.\nAnswer: l**(-137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 5:12 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*x + 80. Let k be 2 + (2\/x)\/((-6)\/48). Suppose 0 = -2*t + 36 - 4. What is the greatest common divisor of k and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302705 to the power of 1\/2, to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*r = 9, 0 = 2*h + 2*h - 5*r + 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minus 0.90866525?\nAnswer: 222.09133475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a15172 + -49?\nAnswer: a15126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(-16)\/6. Suppose s - 5*s = l*v + 12, 0 = v + 3. Suppose -h + 5*m - 10 = s, 4*m - 32 = -3*h + 14. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 15) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 - 4*h**3 - 4*h**3 - 3*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.059 and -54908.\nAnswer: -54907.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.18 or 268.466?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -763 (b) 3\/5 (c) 0.3 (d) 13.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 16. Let f be g(2). Solve -4*u = b - 19, u + 2 = -2*b + f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2*j - 1. Let q be p(-3). Suppose -4*i + 114 = -2*b, -q*i + 21 = -i - 2*b. Solve 3*r - 4*a + i = 0, 5*r + 2*a = -3*a - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n**2 - 15*n**2 + 41*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/9)\/((-12)\/(-36)). Calculate the greatest common divisor of 192 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/(-45))\/(((-1488)\/(-40))\/(-6) - -6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 8?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025656 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/6)\/(215\/(-15) - -15). Let f = -4 + 6. Let y be 3*f*(-5)\/(-2). Solve i*n - y = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1412.422l to millilitres.\nAnswer: 1412422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:36 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-8) - (-1898864)\/(-7488). Let u = f + 3388\/13. Calculate the common denominator of u and 57\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40164079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5227760 is divided by 321?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74\/280 - (-2)\/7. Let w = -1\/20 + l. Factor 1\/2*t**2 + w - t.\nAnswer: (t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 933435 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 2967396.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 30. Solve 0 = -4*p + f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80180 - 74807930\/933. Is a bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2386305*a**2 - 7*a + 36745586 wrt a.\nAnswer: -4772610*a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 260987, 260984, 260981, 260978, 260975?\n\"Answer: -3*q + 260990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 + -469. Let h = -49 - r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*d - 6, 0*n + n - 5*d - 15 = 0. Determine g, given that 0 + n*g + 2\/9*g**2 + 2\/9*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275 and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 54*h + 1. Let i be l(1). Suppose 387 = 4*q - 93. Suppose -q*y + 112*y = -88. Calculate the greatest common divisor of y and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 52. Factor -5*y + 2*y**3 - 10*y**2 - 99*y**5 + 94*y**5 + 8*y**3 + x*y**4 + 5.\nAnswer: -5*(y - 1)**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let h(i) = 6*i**2 + 3*i - 2. Does 27 divide h(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15529.\nAnswer: 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0409 and -124733075484.\nAnswer: -124733075483.9591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v - 1. Let w(h) = -3*h + 2*h + 4 - 11*h**3 - 5. List the prime factors of w(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1072*t**2*u**3 + 3*t**2 + 424*u**4 - 1177827*u wrt u?\nAnswer: -6432*t**2*u + 5088*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.01 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 7 = 56. Suppose 212 + 1219 = d*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/14 of a week in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*x + 11, -7 - 7 = 2*x - 2*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6281922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**2. Let l be w(1). What is the tens digit of (-7 + l)*1*68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/9)\/(8\/242) and ((-280)\/(-60))\/(5\/4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -47, -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 16. Which is the closest to n? (a) 2\/7 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-21) - (-1308)\/(-9))*-1. Let g = l - 61. Calculate the greatest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167\/12 - 44\/3. Put 0.3, y, -3 in descending order.\nAnswer: 0.3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211286 plus -0.6?\nAnswer: -1211286.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*2\/(-4))\/(((-84)\/420)\/((-52)\/(-65)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(3993)*2)\/((sqrt(275) - (sqrt(275) - 1*sqrt(275))) + sqrt(275)))**2.\nAnswer: 1323\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 2 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/66 and -115\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 11}. Give prob of picking 3 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 34*z**2 + 4*z + 139. Let f be y(-34). Solve -4*b + 0*u - u = 7, 0 = f*b - 4*u + 29 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041807242 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + 2 = 0. Which is the nearest to 0? (a) 0 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4 - 4*q**2 - 4. Let b(l) = 20*l + 0 + 0 + 25*l - 43*l. Determine v(b(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 8643668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 3810.\nAnswer: 30480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 229. Let l = -68.5 - h. Let f = 1.5 - -0.5. Which is the fourth smallest value? (a) f (b) -0.4 (c) l (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 3923*k**5\/10 - k**3\/6 + 1736*k**2 + 24*k - 96. Find the second derivative of h(g) wrt g.\nAnswer: 47076*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7353406*n**4 + n**2 - 19504108 with respect to n.\nAnswer: -29413624*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-65))\/((-6)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 14 - 41 = 0. Solve 0 = 3*m + a, 5 + 7 = -5*l - 4*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 5 - 5)*(3*b - 5*b - b) + 3*b**2 + 3*b**2 + 3*b**2 - 11 + 11 - 25*b**2 as y + q*b + x*b**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:30 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c**(-2\/7))\/(c**(-5\/3)*c*c*(c\/(c**(-11)*c))\/c))**(21\/8) assuming c is positive.\nAnswer: c**(-217\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2394.35ml?\nAnswer: 2.39435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 + 6*y**2 + 6*y + 9. Let j(i) = 7*i**3 - 12*i**2 - 12*i - 19. Let x(v) = -2*j(v) - 5*q(v). Let r be x(7). Which is greater: r or -2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 0 + sqrt(3))*2 + 2)**2.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 33. Let f be r(-14). Suppose f*b + 401 = 3*y - 444, 4*b = -5*y + 1396. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(-2 + 4))\/(1\/2). Let v(p) = -5*p - 11. Let g be v(k). Let t be (-2)\/(-4)*(g + 2 + -7). Let s(r) = 4*r - 1. Calculate s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*s + 138 = -271*s. Let p(c) be the third derivative of 17*c**s + 0*c**4 + 0*c - 1\/40*c**6 - 1\/10*c**5 + 1\/70*c**7 + 0*c**3 + 0. Factor p(x).\nAnswer: 3*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t. Let u(f) = f**2 + 1426. What is p(u(l))?\nAnswer: -4*l**2 - 5704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 15*v + 35. Let r be (-7450)\/(-15) - (v + 5\/3). Calculate the greatest common factor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 10*c**2 - 16*c + 1. What is the remainder when b(-8) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 459*d + 124384. Give t(-271).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026*f - 1022*f - 856 = 0. What is the remainder when f is divided by 80?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -12\/5*p**5 + 0*p**4 - 13\/3*p**3 + 6 + 0*p + 0*p**2. Find the third derivative of n(u) wrt u.\nAnswer: -288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/(-9))\/((-3)\/27) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6283 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214837?\nAnswer: 7, 47, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 204*q - 199*q + 24365, -v = -4*q - 24364. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181590992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 580 - 754. Solve -3*b - 23 = -u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93146.07ml to litres.\nAnswer: 93.14607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 10. Find the common denominator of 90\/7*10\/(-25) and b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - 15*s**2\/2 - 10*s + 26. Let i be w(5). Which is bigger: i or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 18\/(-45) + ((-4)\/10 - 7634\/(-55)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) -13 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g**2 + 21*g - 21. What is the tens digit of c(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738871919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.136 + -5.236. Let n = 5 + k. Which is the smallest value? (a) n (b) -1\/4 (c) 2\/7 (d) 34\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a factor of 29183193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-2*i**3 + 2*i**3 - i**5) + 0*i**2 - 3*i**5 + 0*i**2 + (-4 + 4 + 2*i**2)*(i - 3*i**3 - i).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 4*k - 24, -4*o - 436*k + 7 = -433*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.2. Let m = -2.13 - -0.13. Sort i, m, 0.3 in increasing order.\nAnswer: m, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2. Let w(b) = b. Let y(z) = z. Let f = -65 + 66. Let j be (-3 - -1) + -8 + (0 - f). Let m(t) = j*y(t) + 6*w(t). Give p(m(l)).\nAnswer: -175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 6*d - 7. Suppose 24 = -3*r - 0. Let h be (r + (-4)\/(-2))\/(-2). Suppose -5 + 20 = -h*a. Determine y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzxzxxzxzx. Give prob of sequence zzxz.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 6*v - 7. Suppose 16 = -5*x - 9. Let b be j(x). Let c = 44443 + -44439. Put 5, b, c in increasing order.\nAnswer: b, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + g + 3 + (4 + 6 + 13)*(-1 - 2*g + 1) + (0 - 3 + 1)*(3*g - 2*g - 3*g).\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d + 3 = 23*d. Calculate the common denominator of (-26)\/(-10) + 24\/16 - d and -73\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from xxrxrrxxrxxr.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1236119\nAnswer: 6180595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k - 11*k + 2*k**2 - 4*k**2.\nAnswer: -2*k**2 + 47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 + (-10)\/(-8)). Let y = 83 + -83.1. Which is the nearest to 2? (a) y (b) 3\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:45 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 3, k: 5, a: 2}. What is prob of sequence dtda?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.295 and 4.95.\nAnswer: 5.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6708203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.2, -0.8, 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367783 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdooobbjonjjoonojbdo. Give prob of picking 2 d and 1 n.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444508 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(28)*-2) - 1*(sqrt(21)\/sqrt(3)*-4)**2*-6.\nAnswer: 20*sqrt(7) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 915 - 3245. Let d = 2100 + q. What are the prime factors of d?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*c = -4372, -24*a + 13146 = -21*a - 2*c. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4\/4 + 5*q**3\/3 + 5*q**2\/2 + 6*q - 2. Let n be f(6). Suppose n = -h - h. Which is smaller: -1\/5 or h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 12 - 135. Let p be -10 - -10 - z\/(-1). Solve -3*r - p = 3*w, 4*w = w - 4*r - 26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -51*n - n**2 - 2 + 176*n - 83*n - 48*n. Calculate m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 9*q**2 - 11*q + 14. Let b be d(10). Let x = 154 - 156. Let w = 4 - 1. Put -3, x, b, w in increasing order.\nAnswer: -3, x, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73382 + 5?\nAnswer: -73376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19282 - -29248. Find the third derivative of f*j - 9966*j - 83*j**3 - 105*j**2 wrt j.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 45084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 117, -3 in ascending order.\nAnswer: -3, 0, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 6*a**2 - 11*a. Let d(k) = -2*k**3 + 6*k**2 + 12*k. Let f(n) = -2*d(n) - 3*r(n). Factor f(v).\nAnswer: v*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -13. Let u be 2*(-2)\/(-4) + i. Let v(c) be the first derivative of -c**3\/3 - 3*c**2 - c + 35. Calculate v(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1690638 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -24. Let f = w - -15. What is the nearest to 1 in f, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooomoomoooommmooomo. What is prob of sequence momm?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26075105.\nAnswer: 5, 7, 71, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 671579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -0.1 (b) -104 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(-135)\/72\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 + 4*l**5 - 3*l**5 + 4*l**5 - 4*l**5 + 2*l**5 + (l**4 + l**4 + 0*l**4)*(l + l + 0*l).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3 + 2. Let u(g) = -9*g**2 - 5*g - 10. Let v(l) = -11*l**2 - 6*l - 12. Let c(j) = -6*u(j) + 5*v(j). Determine c(p(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 86616759394?\nAnswer: 86616759394.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.442694 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 + -229.906. What is p rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*b - 95, -3 = 3*b - 0. Let o = -18 + u. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o + 6. Let f(d) = 15*d - 12. Let k(i) = 4*f(i) + 9*v(i). Let j(q) = 2*q. Determine k(j(h)).\nAnswer: -6*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4384113.\nAnswer: 3, 17, 31, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -486 - -596.8. What is k rounded to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -26. Calculate the common denominator of 57\/8 and (-35)\/180*(-34)\/b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 8:42 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2199386902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7022 + -1?\nAnswer: 7021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45643.392 minus -0.05?\nAnswer: 45643.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 7.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:47 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l + 145. Let j be n(11). Put -1, -52, j in decreasing order.\nAnswer: j, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 203962*q - 47.\nAnswer: -203962*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 t when three letters picked without replacement from {z: 3, q: 1, a: 6, o: 2, t: 2, g: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -54, -46, -38, -30?\n\"Answer: 8*f - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -195\/47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t. Let h(x) be the second derivative of -2*x**4\/3 - 3*x**2\/2 + 62*x + 6. Give h(y(a)).\nAnswer: -392*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = z + 3. Let n(u) = u**3 + 7*u**2 + 2*u - 5. Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330 + -90. Suppose 0 = -6*t + 3*t + j. Suppose -17 + t = 7*v. Calculate the greatest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 742?\nAnswer: -1\/742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a. Let i(g) = -21*g + 41*g - 27*g. Give u(i(q)).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, m: 7}. Give prob of sequence rm.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - -37) + -47 + (2 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -32*l**2. Let y(b) = -15*b**2. Determine g(y(h)).\nAnswer: -7200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 169, 656, 1461, 2584?\n\"Answer: 159*c**2 + 10*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b - 198. Determine a(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*r**3 - 1 + 8*r + 40*r**3 - 11 + 5 wrt r?\nAnswer: 504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*1)**2 + -4.\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 11) to base 8\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 280169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 6. Give s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 2. Let u be n(2). Let a(z) = 1 + 0 - 2*z - 4 + 5*z**u + z**3. Let d be a(-5). Calculate the greatest common factor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n - 3. Let t(y) = -y**3 - 10*y**2 - 13. Let u be t(-10). Let s = -10 - u. What are the prime factors of i(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:15 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 10.49282.\nAnswer: -10.49282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.9 + -156.5. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43548.923 not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*w = 18317 + 5465 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2278.54 to the nearest ten.\nAnswer: -2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 13. Let y(b) = b**u - 1 - 3*b**2 - 3*b - b + b**2. Suppose 0*f + 2 = 2*d + 2*f, 4*f - 1 = -5*d. Determine y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaqaqqqqqqqqqqaqa. What is prob of picking 2 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**40*c**(-6)*c*c*(c*c*(c**(3\/7)*c)\/c)\/c)\/(c**(1\/5)*c\/c**7)**37 assuming c is positive.\nAnswer: c**(7421\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.14, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/6 (b) -51 (c) 21 (d) -0.0337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6744450 rounded to the nearest 10000?\nAnswer: -6740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/72219 and -93\/532.\nAnswer: 288876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002101878922 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/2, 8\/9, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 14*c + 4*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -85. Suppose -j - 17 = 3*f, -2*f - 7 = -g*j + 10. Let p(m) = -m**3 - 9*m**2 - 8*m + 2. Let d be p(-8). Sort 1, d, f in increasing order.\nAnswer: f, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 35*f + 5. What is l(-14)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155842?\nAnswer: 2, 67, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6228.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 643*c + 6292. Give o(-10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 407984 and 2965.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3333 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 + 1.3. Let l = h + 3. Let t be 10 + -3 + -3 - 5*6\/9. Which is the closest to t? (a) -2 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 13*z + 5. What is p(14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -6*f**2 + f - 818. Let q(u) = -95*u**2. Give q(v(i)).\nAnswer: -13680*i**2 + 2280*i - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -18. Let l(b) = b**2 - 4*b. Let m be l(4). Suppose m = -3*z + 1 + 5. Sort 3, z, q in increasing order.\nAnswer: q, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = d + 3*q - 25, 3*q + 15 = 0. Suppose 0*u - 445 = d*u. What is u rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s - h - 9 = 53*s, 3*s = -5*h + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, n: 2, t: 9, y: 3, p: 2, f: 1}. What is prob of picking 2 n, 1 f, and 1 t?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 292 - 327 = -369 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-624))\/((-9)\/(-6)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(sqrt(36) + (5*sqrt(144)\/sqrt(4) - sqrt(36)) + sqrt(36)))\/((sqrt(1728) + -1*sqrt(1728))*-6 - sqrt(1728)*-1*-6).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138783814 + -240.\nAnswer: -138784054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.681132ml in litres?\nAnswer: 0.002681132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**5 - 3*c**4 + 11*c**3 + 3*c**2 - 10*c = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 24 = 2*h, 4*h = 5*h + 2*c - 14. Solve 2*b + h = 3*n + n, 5*n + 5*b = -25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3.14 (b) -77 (c) -4 (d) -14 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let d(m) be the second derivative of -3431*m**4\/4 + 2076*m. Determine d(q(s)).\nAnswer: -41172*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160.82 - 160.49. What is the third smallest value in s, 2\/41, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*h**2 - 16*h**2 - 2*h - 16*h**2 + 2 - 4 in the form f*h + v + u*h**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -6*x**7\/245 - 17*x**6\/70 + 16*x**5\/21 - 2*x**4\/3 - 8*x**2. Determine w, given that g(w) = 0.\nAnswer: -7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 78*r**2 - 241*r - 162.\nAnswer: (r - 81)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/81781 and -9.\nAnswer: 81781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 2*b - 3. Let v be p(-3). Let f be (-108)\/v + (-2)\/4. Solve -3*t = 2*c - 12, -c + 16 = f*c + 4*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107558807.\nAnswer: 107558807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1638 and 1708.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/((-42)\/6))\/(2\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 2, r: 1, w: 4}. What is prob of picking 2 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, -17, -58, -125, -224?\n\"Answer: -x**3 - 4*x**2 - 2*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 2*k - 1473. Suppose 6*c - k = 184. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - m**3 + 5 + 2 - 12*m**2 to the form w*m**3 + f*m + d*m**2 + n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7833.98325 + 7834. Round x to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8632968 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -818 divided by 409.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6224892117?\nAnswer: 3, 41, 251, 201629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/3 + 16*b**4\/3 - 16*b**3 + 64*b**2\/3 - 32*b\/3.\nAnswer: -2*b*(b - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 10534006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 1, h: 4, r: 2, c: 1, f: 2}. Give prob of picking 1 e and 1 f.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouv when three letters picked without replacement from uovpxfu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/7 + 6848*g**2\/7 + 2224640*g\/7 + 190316544\/7 = 0. Calculate g.\nAnswer: -3072, -176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m - 34*m**2 + 13*m in the form f*m**2 + a + w*m and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -7. Which is the second smallest value? (a) 0 (b) -7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 29*i**3 + 2*i**2 - i. Let m be 8*3\/24*1. Determine j(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*v**4 - 535*v.\nAnswer: 444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j + 3*i, -3*i + 5 - 29 = -5*j. Let x be 3 - (3\/j + -3). Factor 5 - x + 3*b**2 + 3*b.\nAnswer: 3*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2. Let m(t) = 7732552*t**2. What is h(m(x))?\nAnswer: -119584720865408*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/30 + 8536*y**3\/15 + 18215824*y**2\/5 + 2722*y - 1. Factor d(b).\nAnswer: 2*(b + 4268)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from bdbhbbbbbh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 12*h + 3*a = -18, 5*h + 4*a = -35 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.908 + -0.092. Let c = u + 45.034. Let l = c + 0.366. Round l to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 52*r**2 + 114*r + 11. Let i(q) = -10*q**2 - 23*q - 2. Let d(y) = 6*g(y) + 33*i(y). What is the second derivative of d(z) wrt z?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/27 - 16\/756*10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*c - 235*c - 170*c - 248*c + 922*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*-3*-1 + sqrt(240) + sqrt(240))\/sqrt(6))\/(sqrt(96)\/sqrt(48) - (sqrt(8) - (sqrt(968)*-1 + sqrt(968)))))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-35)*2115\/(-3384).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 12.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 102.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 358888 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + y = -3*g + 13, -23 = y - 5*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*h = 0, 4*x + 2 + 0 = 3*h. Let w = -5.4 - -0.4. Let b = 8 + w. Put 0, b, x in increasing order.\nAnswer: x, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y. Let r(c) = 5. Let u(b) = b + 6. Let m(x) = 6*r(x) - 5*u(x). Determine m(n(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**5 - 438*r**3 + 1909*r**2 + 2 wrt r.\nAnswer: -180*r**2 - 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2205*k**2 + 1372*k**3 + 6580*k - 6885 + 2505 + 1392*k**3 - 2759*k**3 = 0. Calculate k.\nAnswer: 1, 2, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2\/9*h**4 + 2\/9*h**3 + 4\/9 - 2\/3*h**2 - 2\/9*h = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 463 + -4?\nAnswer: 45e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - p. Suppose -20 = -p*v - 5*v. Let n(c) = -v - 2 + 11*c - 2 + 3. Let l(o) = 5*o - 2. What is -5*l(x) + 2*n(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*j + 26506 = -216*j - 451*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*c = -29, -z - 5512*c + 22 = -5507*c for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 18. Let l be t(13). Suppose 0 = l*r - 115 + 15. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + (0 - 2) - (7 + (39 + -52 - 10)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819094 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*8\/(-6). Let x(q) = 4*q + 2. Let a be x(n). Let v = a + 11. Let w(m) = 2*m - 6. Give w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229\/595 + 26\/595. What is the closest to -0.1 in -1.5, -18.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5 - 683*i**4 - 1052*i.\nAnswer: -20*i**3 - 8196*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Suppose b = -a - 0*a + 38. Suppose -3*w + w = -5*f + a, 0 = 2*f + 3*w. Solve 0*u = -3*u - f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7785 by 2595.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.015 - 0.385. What is the closest to -1\/3 in 3, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1624 = -234*c + 2*c. Calculate the lowest common multiple of 5383 and c.\nAnswer: 5383","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmmm when four letters picked without replacement from mttmtttttttmttttmttt?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/(0 + 2) - -2. Suppose x + 162 = -2*x. Let l = w - x. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6353 + -4478. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*u + 7*u. Which is smaller: u or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15190 and 95697?\nAnswer: 956970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16692726?\nAnswer: 2, 3, 229, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 + 202774*v - 203946936 = 0.\nAnswer: -102383, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 - (6 - 4 - 5). Let w(g) = -p*g**3 + 8*g**2 - 4*g**2 - 2*g**2 - 2*g + 5 - 3. Let b(r) = 11*r**3 - 9*r**2 + 9*r - 8. Calculate 2*b(d) + 9*w(d).\nAnswer: -5*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - 232\/(-32))*-8. Sort -63, w, -4 in decreasing order.\nAnswer: w, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + 43. Let z = -62 + v. Let f(q) = 21*q**2 - 75*q + 81. Let b(u) = -5*u**2 + 19*u - 20. Let a(t) = z*f(t) + 9*b(t). Find c such that a(c) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1136\/42 - 4\/(-12). Let a = z - 33\/7. Let k = -3893\/7 - -553. Find the common denominator of a and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/k)**(1\/5)\/((k*k**(-2\/21)*k)\/k*k**4\/k) assuming k is positive.\nAnswer: k**(-146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15507, -15526, -15549, -15576, -15607, -15642, -15681?\nAnswer: -15724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 5, 4, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 7. Let c(s) = -4*s + 11. Calculate 7*b(l) - 5*c(l).\nAnswer: -l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 3*b**2 + 3. Let z(i) = 3*i**2 - 162 + 163 - 4*i**2. Suppose -o + 6 - 5 = 0. What is o*c(j) - 3*z(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -56. Let k be (2\/8)\/((-1)\/i). What is the nearest to k in 2\/13, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(468)*4 - sqrt(468)) + (3 + sqrt(1053) + sqrt(13) + -3)**2 + -4.\nAnswer: 90*sqrt(13) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 75 = -25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkggmmgkmgmmmmggmm. Give prob of picking 2 g and 2 k.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5893761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1918*c**2*h*w + c**2*w**3 - 2*c*h*w**3 - 2447*c*w**3 wrt c.\nAnswer: -3836*h*w + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5 = -h + 14, -3*j - 3*h + 15 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**4 - 3*z**3 + 3*z**3)*(392 - 627 - 735) as f*z**4 + j*z**3 + d*z**2 + m + s*z and give f.\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -64002d7?\nAnswer: -64002db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1843095 and 4959?\nAnswer: 5529285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52292 - -123708. Round d to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724091, -724090, -724089, -724088?\nAnswer: -724087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q**3 + 30*q**3 - 182*q**3.\nAnswer: -133*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -231102012 (base 4) in base 13?\nAnswer: -66567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - m - 52, 0 = -2*x + 5*x + 2*m - 39. Suppose -7*n = -x*n + 13998. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8939*a - 71533. What is t(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 51. Suppose -5 + s = 3*j. Suppose 5*t + 0*l = -3*l - 24, 3*l = 3*t. Sort -5, j, t in increasing order.\nAnswer: -5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1224119748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 22*f + 655. Determine a(-35).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s = -j - 17, 4*s = 20. What is the first derivative of -12*w**j + 5 + 11*w**3 + 4 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ddc - -36?\nAnswer: -da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -662708.5634 rounded to the nearest ten thousand?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 48\/18*(-1401)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20558033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 - ((-19 - 3 - (-29 - -19)) + (10 - 1)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m + 32 - 58 + 11. Let b be z(-1). What is the second smallest value in -0.4, b, 19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (-594)\/(-176)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280 is divided by 138?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 66276380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*84\/8. Let j be (-30)\/(-70) - 4\/q. What is the closest to -1\/2 in j, 1\/4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619786.\nAnswer: 2, 7, 37, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*k**4 + 288*k**4 + 29*k**3 + 5*k**3 - 574*k**4 + 35*k**3 + 2 to the form h*k**2 + b*k**4 + t*k + l + z*k**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28039104 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 14*s**2 + 12*s - 10. Let n be t(-13). Factor -1\/3*v**n + 0*v + 0 - 1\/3*v**2.\nAnswer: -v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002802 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*4*(sqrt(80) - (sqrt(80)*2 + sqrt(80)) - sqrt(80)) + -5*(sqrt(80) - sqrt(80)*1)*-2)**2*2.\nAnswer: 1244160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -23902709\nAnswer: -29\/23902709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 13 + 13 in the form b*l + k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -95190?\nAnswer: -1\/95190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*l**2 - 786*l**2 - 7723432 + 7723432.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2) + -1)\/((-177)\/236). Suppose -3*h + 23 = 2. Let b be (-24)\/(-20)*7\/(84\/20). Solve -a*d + 2*f = -b, -2*d = -0*d - 5*f + h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597381843?\nAnswer: 3, 43, 4630867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 19 - 6. Suppose -u*d + 18 = -4*d. Put 11, d, -5 in ascending order.\nAnswer: -5, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1099831 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2115246945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {k: 11, y: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**8*i))**(-13\/3)*(i**(-4))**(-1\/12) assuming i is positive.\nAnswer: i**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14538326 to the nearest integer?\nAnswer: 3813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000983 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 64 - 54 = 0. Let r = 39 + -17. Solve -5*j = -3*m + 3 - l, 0 = 3*j + 4*m + r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 546*g**3 - 11*g**2 + 44*g - 868. Let k(c) = -182*c**3 + 4*c**2 - 16*c + 289. Let a(m) = 11*k(m) + 4*z(m). Find the first derivative of a(n) wrt n.\nAnswer: 546*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 8*r + 7. Let t = -16 - -23. Let l be k(t). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43397\/37 + -1173. Sort x, -0.4, 3.\nAnswer: -0.4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*v = -149, 0*s + 246 = 5*s - v. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -7*r**4\/5 - 2546521*r**3\/5 - 6911928*r**2\/5 + 2182716*r\/5 = 0.\nAnswer: -363786, -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3 - 132*f**2 + 663*f + 12138 = 0. Calculate f.\nAnswer: -7, 17, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n + 3*k, 0 = -4*n - k + 2*k + 12. Suppose -v = -n*i - 8 - 6, 28 = 4*v - 5*i. What is the third biggest value in v, 1\/10, 1\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62297931013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 10*d = -6459. Let n = d - 77377\/36. Calculate the common denominator of n and 25\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 12 - 1)*(-2 - 18 + 0)*(5*j**2 - 2*j**2 + 0*j**2) to h + c*j + l*j**2 and give l.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4892*p - 4729*p - 4892*p + 14535*p.\nAnswer: 22*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 331 (b) 2 (c) 2\/3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 234312?\nAnswer: 234300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58298 is divided by 9706?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = -2*k. Let g be (-8)\/k - (-19)\/3. Suppose g*w = 5*w + 152. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258846822*4\nAnswer: -1035387288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -13\/5 (c) -2 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*h**3 + 2538552*h**2 + 57543714972*h + 263003934848 = 0. Calculate h.\nAnswer: -45329, -32\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 49, 135, 255, 409, 597?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, 3, -32, 9.\nAnswer: -32, 2, 3, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 2:56 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-79)\/(-2) - (-3)\/(-6). Suppose 0 = 6*p + 9 + q. Which is smaller: p or -46\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 3681\nAnswer: 2\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 31. Let u = n - 13.1. Suppose -35 = 5*t - 5*w, -30 = 6*t - t - 4*w. What is the nearest to u in 1\/5, t, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 2*k**2 + 5*k - 2. What is the remainder when (63\/(-12))\/(3\/(-8)) is divided by h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 92*r**2. Let x(q) = 32*q**2. Give p(x(y)).\nAnswer: 94208*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491107, 491109, 491111, 491113, 491115?\nAnswer: 491117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4.\nAnswer: -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*f = -259*f - 24, 4*f = 3*h + 24. Solve h = -5*l + 5*v + 30, 25*l + v - 4 = 21*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 3. Let d(g) = 1. Let i(t) = 8*d(t) - 3*q(t). Suppose 8*a = 3*a + 20. Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 10*u + 46. Let j be i(-8). Let m be j\/(13 + -5) - (-6)\/(-8). Let w(o) be the first derivative of -o**2 + o + 2. Give w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 47*q - 95. Calculate x(-40).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260695 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 483 + -469. Suppose 528 = p*d - 3*d. Calculate the remainder when 283 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 43*m = 61*m + 55, -q = 2*m + 3 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -2\/5*d**2 + 5 - 7\/15*d**3 + 2\/15*d**4 - 9*d. What is t in b(t) = 0?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3492 - 2.\nAnswer: -3494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1908.\nAnswer: -1\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + 509.95353.\nAnswer: 549.95353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*f - 44, 2*k + 2*f + 38 = 18 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 229 = 4*x, 654 = -3*a + 6*a - x. Suppose k - 187 = 4*n, -2*n = k - 0*n - a. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42351579 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -25)\/((-18)\/(-12)). Calculate the greatest common factor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 15.9. What is the nearest to t in 3\/10, -0.3, 1\/3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, p: 4, q: 6}. What is prob of picking 3 p?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 13) + (0 - (0 + 8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639497 rounded to the nearest ten thousand?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -14.2 and -74\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -0.3 (c) -5 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51347 - 51107 = -2*p + 5*y, 3*p - y + 61 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22167*j = 22165*j - 88 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y - 12. Let b(j) = -97*j + 2. What is b(x(i))?\nAnswer: -970*i + 1166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 412010595 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1)**(4\/11)\/(d*d**(2\/11)*d*d**(1\/5)\/d) assuming d is positive.\nAnswer: d**(-36\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17a042 (base 15) to base 8.\nAnswer: 4301252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 - 375 + 375 - 12*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*r + 23, -5*x = -80*r + 81*r - 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 4544?\nAnswer: 4523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -719252.93 + 719253. Let o = -43 + 213\/5. Which is the closest to o? (a) 1 (b) 3 (c) -3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 10*h + 2. Let l be d(9). Calculate the common denominator of (0 - 74)*(-42)\/616 and 2\/l - 1266\/308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2. Let p(q) = 34*q**2. Calculate p(g(n)).\nAnswer: 1224*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -69. What is the lowest common multiple of 10 and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 20*f + 52 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 630268229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l + 10. Suppose 35 = 5*i + l*q, 4*q + 11 = -3*i + 46. Solve -5*z + 16 = 2*k - 12, i*z = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = -29. Suppose 1 = -2*w + j. Suppose 0 = w*f - 6*f - a + 160, 0 = -5*a - 25. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 3*x - 1. Let s be a(3). Let z be s*(-1)\/(-2 - -3). Let p = -6 + 5. Put z, -4, p in increasing order.\nAnswer: -4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4, 1326, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 - 2) + 3)*49. Let q = -47 - g. Suppose -4*y - 46 = -5*d, -4*d - 2*y - q*y = -44. Solve 2*o - d = 7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 5*m + 14*m)*(2 + 1 - 2)*(-4*m + 3*m + 4*m).\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)\/((z**(-1)*z)\/z)*z\/(z*(z**0\/z)\/z*z)*z**(-3\/4) assuming z is positive.\nAnswer: z**(53\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r + i - 4648, -6524 = -7*r + i. Which is bigger: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2 = 6, 0 = b + 5*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e91 (base 16) in base 8?\nAnswer: 37221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6915\/11 - -629. Let q(f) be the first derivative of 7 - 2\/33*f**3 + m*f**2 - 6\/11*f. Determine z so that q(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let p be (9\/30)\/(12\/10). Let q = -415\/6 + 69. What is the nearest to p in u, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 1, x: 1, l: 1, j: 2, e: 1}. What is prob of picking 1 x and 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21*-7\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122371754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 12 + -8 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(273\/(-7)))\/((-2)\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let x(h) be the first derivative of -17\/2*h**2 + 0*h - 2. Give x(w(t)).\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(40)\/sqrt(8)*3) + 0 - (-2*sqrt(425)*4 + 0))**2.\nAnswer: 248897\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2470469 decades to centuries.\nAnswer: 0.02470469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 19878*m**2 + 4285880*m.\nAnswer: m*(m - 19660)*(m - 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2. Let l be i(-2). Let b = -6 - -15. Suppose 0 = t - 4*t + b. What is the greatest common divisor of l and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 7*c - 10*c. Calculate the remainder when 162 is divided by c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 131089 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1823, -1796, -1769, -1742, -1715, -1688?\n\"Answer: 27*i - 1850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741092393 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5468*c**2 - 166*c - 2820. Let v be u(-20). Round v to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 630\/525*(1 - 11). Let q(p) = 2*p**3 + 24*p**2 + 1. Let d be q(l). Let h(f) = f**2. Let g(n) = -4*n**2 + 3*n**2 - 3*n**2. What is d*g(r) + 3*h(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-10)\/15)\/((-22)\/(-12)))\/2. Let u = -357221\/9900 - -901\/25. Let r = u - 3\/44. Which is the third biggest value? (a) r (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/27)\/(o**(1\/3)*o))\/(o**(1\/14))**(4\/7) assuming o is positive.\nAnswer: o**(-1867\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (782\/(-30) + -103 + 129)*5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11\/5, 23, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/7)\/(o\/(o**8\/o)))\/(o\/(o\/o**(-4))*o**(-7)*o)*(((o*o**(-4\/9))\/o)\/o)\/o**8*o**(-5\/4)*o*o**(-3\/8)*o assuming o is positive.\nAnswer: o**(3061\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-32) + (-3)\/(-2). Suppose -a*q + 31 + 110 = 0. What is the remainder when q is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 4*a - 16, -4*w + 5*a - 7 = 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2\/2 + 85*k - 660 = 0 for k.\nAnswer: 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, 4, -1\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142778\/13 or 10983?\nAnswer: 10983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v - 16*v - 11*v**3 + 30*v + 31 + v**2 - 3*v**3 to the form i + m*v + r*v**3 + x*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -1\/8*g**3 + 0 - g**2 - g - 3\/80*g**5 - 1\/160*g**6 - 3\/32*g**4. Let k(p) be the first derivative of t(p). Solve k(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d*d**(3\/10)*d)\/d)*d*d)\/d**8*(d*d**(1\/5))**(-1\/21) assuming d is positive.\nAnswer: d**(-103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21010010022 (base 3) to base 4\nAnswer: -202030121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*h**3*k**4 - 71*h**3*k*s**2 - h**3*k + h**2*k**2*s - 2*h**2*s**3 - h**2 - 4*h*k**3*s**3 - 3*k**4 wrt k.\nAnswer: 672*h**3*k - 24*h*s**3 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 7. What is the remainder when a(7) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37357930 to the power of 1\/2, to the nearest integer?\nAnswer: 6112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -2\/11, 4\/3, -3.1, 4, 3 in decreasing order.\nAnswer: 4, 3, 4\/3, 0.07, -2\/11, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -49*r - 128400. Let p be a(0). What is p rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-2340)\/25)*18\/((-42)\/7).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/6, 18, 0.3, -2 in ascending order.\nAnswer: -2, -1, 0.3, 5\/6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 68*r - 59. Let o be s(35). Suppose -2409 = -o*h + 3641. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8802126391 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 1, l: 4}. Give prob of picking 1 j and 1 l.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i = -70. Calculate the greatest common factor of 56 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3381, -0.1, -36\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/95)\/((-6)\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2491\/12 - -1073605\/5172. Let s be 81922\/(-20)*(-5)\/(-2586). Let a = b - s. What is the common denominator of -87\/14 and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*n**3*y + 2*n**2*y - 30*n*y - 23*y - 43 wrt n.\nAnswer: -129*n**2*y + 4*n*y - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*f + 5*u - 34, 0 = -f + 2*u - 4. Let k(o) = o**2 + 6*o - 5. Let b be k(-11). Suppose f*n = b - 12. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, r: 3}. Give prob of sequence upr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 5*n + 3. Let m be q(-5). Let w = 11 + -6. Let b = w - m. Solve -c + 0 + b = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87.97633 - 0.02367. Let t = 106 + -102. Sort 0.4, h, t in descending order.\nAnswer: t, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 6, v: 4, t: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - 3) - (-41 - -37).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 1430. Let p(u) = -u + 34. Let i(l) = l - 51. Let f(q) = -2*i(q) - 3*p(q). Determine f(y(h)).\nAnswer: -h + 1430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -3.1.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 - (-7 - (-15)\/5). Suppose -3*z = -103 + g. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3981, 0.4, -422 in descending order.\nAnswer: 0.4, -422, -3981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 3, 1\/2, 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**5 - 100949246*z**4 - z**3 - 154561719*z**2?\nAnswer: -120*z**2 - 2422781904*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16198 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/(12\/18)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-37)\/9 + (-6)\/(-9) and 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.78017224 rounded to three decimal places?\nAnswer: -11.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41193 and 12.\nAnswer: -494316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 115 = 2*j. What is the second derivative of -j*a + 421*a**2 - 421*a**2 - 5*a**5 wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 455 - 260. Let n = f - 194.9. Suppose 3*k - 9 = v - 3, -4*v + 4 = 2*k. What is the fourth biggest value in -7\/4, k, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 10*n - 9. Let q be b(-7). Let h be 3\/q - 182\/(-8). What is the highest common divisor of 92 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3*l - 4. Let c be 6\/(36\/(-21)) - (-3)\/(-6). Let b be f(c). Solve -11*s - 29 - 4 = b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/14)\/(252\/(-147))*(-4)\/(-10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*d + 17, d + 4*r + 0*r = -16. Let p(h) = -h**3 + 4*h**2 + h - 5. Let k be p(4). Let b be (2\/(-4))\/(k\/10). Solve -d*l = 11 + b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/3, 0.4, -1, -50 in descending order.\nAnswer: 0.4, 0.1, -2\/3, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215078*l = 214915*l + 978 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 85\/3570*(-42)\/18\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -h - 173 - 37. Which is the nearest to 1? (a) h (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 12*w + 3. Is n(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = 2*z, -6 = -4*w + 14. Suppose 5*b = -2*t + 38, 2*t - b - z = 3*b. Solve 5*k + 4*i = -16, i - t = 2*k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 71940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/(-41))\/(3\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 517 - 431. Let r = 86 - o. Solve 3*l = -9, 4*l = -r*a - 4*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/((-1232)\/(-31053)))\/(3\/(-276)).\nAnswer: 3, 23, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/5)\/(q*q\/(q\/((q*q*q**(-6)*q)\/q*q)))*(q**(-1))**(2\/67))**(42\/11))**50 assuming q is positive.\nAnswer: q**(305340\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 1 - (-60)\/2 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166 and 957571?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 592 - 588. What is the second derivative of 279*j - 32*j - 48920*j**4 + 48733*j**v wrt j?\nAnswer: -2244*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:13 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62702 - 62702.3. Let r = 0.17 - 0.07. Let z = 58 - 524\/9. Put t, r, z in descending order.\nAnswer: r, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-36 - 22072*a + 141 - 32 - 36 - 37).\nAnswer: 44144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 153)\/((-9776)\/(-4888))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, 5, 2, -1\/16?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183205695 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5*(-1494)\/945?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289 + 288.9999375. What is y rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, a: 2}. Give prob of sequence paa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -83*v**5\/4 + 662*v**2 - 6*v + 81. What is the derivative of n(q) wrt q?\nAnswer: -1245*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 275 + -271. Suppose 3*h + l*v = -0*v + 2362, 0 = h + 4*v - 798. What are the prime factors of h?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2040 * 0.5\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 + 1 + -10 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178040\/17 - -10476. Find the common denominator of -19\/11 and b.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*t**3 + 146*t**3 + 610*t**3.\nAnswer: 803*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*w**2 + 74*w**2 - 141*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45447744 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 518.8 + -519. Let g be (-1)\/(6\/10) + 0. Which is the biggest value? (a) w (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175 is divided by 236?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(5) + -2*sqrt(5)*-6 - sqrt(5))**2 - (sqrt(45) + -4 + sqrt(5))) + 3.\nAnswer: -4*sqrt(5) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let k be 0*((-7)\/s + 3). Suppose 22 = -k*j + j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39.88674 and 3561?\nAnswer: 3600.88674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 2. Let d be p(-8). Let c = -18 - d. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32126 minus 0.2?\nAnswer: 32125.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1786*w**3 - 12*w**2 - 57*w.\nAnswer: 10716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-702)\/10 - 8\/(-40). Let s = -24 - k. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -2 + -8 - -5. Factor -2\/3*l**4 + d*l - 2\/3*l**5 + 0*l**2 + 0 + 0*l**3.\nAnswer: -2*l**4*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - i**2 + 15*i - 33. Let n be u(3). Suppose -5*s + 69 + n = h, 4*s - 336 = -2*h. Calculate the remainder when h is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/90 and -87\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b. Suppose -2*o + 2 = -2. Let z be (-18 - -16)\/(o\/(-5)). Let j(r) = -3*r + 5 - 5. Give z*j(k) - 2*p(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -21.8. Which is the nearest to q? (a) 0.1 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*z - 18 = 0, k + 17*z = 22*z + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816975*-46.\nAnswer: 37580850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 7:57 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 94 = 11. What is the biggest value in -1, 0.3, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80150959 less than 0.7054?\nAnswer: 80150959.7054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/96)\/((-48)\/64))\/((-4)\/472)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - -446.\nAnswer: 445.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -340*g - 67. Let u(a) = -1016*a - 202. Let q(o) = -7*t(o) + 2*u(o). What is the tens digit of q(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 146\/(-150) + 40\/60. Let o = 2891\/600 - i. Calculate the common denominator of o and -149\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 5 - 6*v**2 - v. Let y(u) = 3*u**2 + 4*u - 5. Let q(r) = r**2 + r - 1. Let o(a) = -12*q(a) + 3*y(a). Calculate 3*b(l) - 5*o(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 + 30*o - 33 = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.083 greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16698*z**3 - 57842*z**3 - 60*z**2 + 60*z**2.\nAnswer: -74540*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 44747.86mm?\nAnswer: 0.04474786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + p - 6*p + 13, 3*p = -4*s + 35. Calculate the greatest common factor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r + 1. Let v(u) = -18*u - 56. Determine 2*j(i) + 2*v(i).\nAnswer: -16*i - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.08 (b) -12 (c) 7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*i - 544 = -695*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -4 + (4 - 5) + -275 + 268?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 0.3, -10, 487?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/4 in 7, 0, -2.5, 5, -0.2?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -35. Suppose 2*h + 0*h = 10. Suppose -3*o - o = 20, -h*j = -4*o - 35. Solve 0 = j*k - 3 + t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose g - 31 = -3*l, 5*g + 42 = u*l - 12. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 - 9*b**2 - 4*b - 55. Calculate g(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + w - 2 = 1, 22 = 5*d - 4*w. Let i(k) = 2*k**2 - 2*k**d - 4*k**2 + 0*k**2. Let u(m) = m**2. Give i(u(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 7 + 11 - 8*a**5 - 9*a**2 wrt a?\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*a + 21, 2*a - 14 - 2 = -s. Suppose s*v - 3*v - 12 = 0. Suppose 0 = -i + 4*k + v, 8 = i + i + k. Solve 4*j - 2*j = -i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -440.8941 - -441. Let q = 0.092 - n. What is q rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) -3 (c) 0.3 (d) 4 (e) 14905\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163 divided by -3329411.\nAnswer: 163\/3329411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 36 = 2*m + 2*b, 5*m + 5*b + 60 = 0. Let z be m\/(-980)*24\/(-2). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*t**5 + 8*t**5 + 24*t**5)*(-30 + 2 - 12)*(-2 + 0 + 0).\nAnswer: 5040*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3583\/792 - 7\/88. Find z such that n*z**3 - 40\/9*z**2 - 20\/9*z**4 + 20\/9*z + 4\/9*z**5 - 4\/9 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 623623659 to the power of 1\/4, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 16 = w. Let z = w + -4. Let g(j) = j**3 - 12*j**2 - 16*j + 40. Let a be g(13). Put z, a, -5 in descending order.\nAnswer: z, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35383 + -12098180.1.\nAnswer: -12098180.45383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**3 - k**2 + 18*k - 17. Determine t(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**7\/945 + k**6\/540 + k**5\/135 - 7*k**2. Factor f(c).\nAnswer: -2*c**2*(c - 2)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16562 and 83398.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1290, 1262, 1234, 1224, 1250, 1330, 1482, 1724?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11811, -11795, -11779, -11763, -11747, -11731?\nAnswer: -11715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.05 - -1.55. Let j = d - -34. Let x = 0.3 - 0.2. Put x, -0.3, j in descending order.\nAnswer: x, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101 (base 4) to base 3.\nAnswer: -12222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9064 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 25*l - 152. Let w be q(-11). What is the derivative of 5*s**2 + 16*s + s**w + 14*s - 50*s - 187 + 6*s wrt s?\nAnswer: 12*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1030517015)\/(-1375) - 2\/(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4\/3, 181 in increasing order.\nAnswer: -4\/3, 2\/3, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -17 (b) -0.02 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 11*z**2 - 13*z + 32. Let h be i(10). Let u(f) = 0*f**h + 2*f - 5*f**2 - 8*f + 3 + 5*f + f**3. Calculate u(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -490 (b) 4 (c) 115 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(138\/(-132) - -1) - (-50)\/(-330). Which is the fourth smallest value? (a) -4\/5 (b) -0.61 (c) -0.1 (d) s (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63038 and 27854.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2039\/3 + 680. Which is the third biggest value? (a) 1\/61 (b) l (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8*m - 14 = 0. Let h(d) be the first derivative of 0*d**3 + m + 3\/2*d**2 - 1\/4*d**4 + 0*d. What is the second derivative of h(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3411981 - 382?\nAnswer: -381.6588019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdm when three letters picked without replacement from ddmmkdkd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 1)*-3 - (sqrt(15)\/sqrt(3) - sqrt(5))*3)*5*4)**2.\nAnswer: 7200*sqrt(5) + 21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - -133?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85290 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -19\/4, 5, -20, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*n = -n + 16, 4*v - 52 = 5*n. Let q be ((-96)\/(-12) + -20)*(-2)\/v. Solve 5*c - q*c - 5*i = 17, c - 4*i = 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*(1\/(-2) - 1). Let h be (-30)\/45*6*-1. List the prime factors of (-7805)\/(-28) + z\/h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*w - 0*o + 11, -4*w - 6 = -2*o. Let f(u) = u - 1. Let y be f(-3). Put y, 3, w in descending order.\nAnswer: 3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -753, -1597, -2909, -4809?\nAnswer: -7417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10370 is divided by 1021?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:11 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 69. Suppose 182 = 13*l - 117. Let d be z(l). Suppose d = 3*g + 2*p + 2*p - 1215, 2*g - 809 = -3*p. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 5*n**2 - 4*n**2 + 3*n**2 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -1.02. What is the closest to k in -5, 3\/5, 0.12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4499900 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -b, -p = -3*b - 5*p + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*z = -z - 198, -2*z - 774 = -4*u. Let a(l) = -l**3 - 4*l**2 - 15*l - 38. What is the remainder when u is divided by a(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/3 - 159*m - 2970 = 0?\nAnswer: -18, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21041566?\nAnswer: 2, 7, 13, 115613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-12))\/((-10)\/20*-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 677, 0.4, 0.1 in increasing order.\nAnswer: -1, 0.1, 0.4, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-3\/4)*b*b)\/b**(2\/11)*b**(-4)\/b**5)**(2\/67))**(1\/3) assuming b is positive.\nAnswer: b**(-239\/4422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-2 - 49)\/(7\/(-77))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4257 - 2081. Is b a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, 1, 0 in decreasing order.\nAnswer: 5, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 2*y**4 - 2 + 0 + (y**2 - 2*y**2 - 2*y**2)*(y**2 + 3*y**2 - 2*y**2) + 4*y**3 - 4*y**3 + y**4.\nAnswer: -7*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9790 rounded to the nearest 100?\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36.36705 and -2?\nAnswer: -72.7341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3 (c) -1935 (d) 0.3 (e) -2\/9 (f) 3\/43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 14) in base 7?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - x - 3*x = 2256, 2*n - 1125 = 3*x. Suppose -2*p - 2835 = -5*g, 3*g - 2*g + p = n. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96077 and 2407?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117504823?\nAnswer: 337, 431, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6)*6\/(-9). Let n = -19.1 + 19.1. What is the second biggest value in 1, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13206\/277?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45286, 356494, 1201208, 2846182, 5558170, 9603926, 15250204?\nAnswer: 22763758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 = -4*z, -4*b - 5*z - 17 = 7. Sort 2, b, 0.5, 3\/5.\nAnswer: b, 0.5, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 greater than 946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 4) to base 3\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*p**3 - 3*l**2*p - 33*l*p + 115*p**3 wrt p?\nAnswer: -18*l**2*p + 690*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 601*r + 4 = -598*r, 0 = 4*r - 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -10*q + 23*q. Suppose 3*o - 49 = 2*m, -o - q*m + 13*m = -22. Solve 4*u - w - 2 = w, o = -u - 3*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -297 + 159.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64453 + 11459.2689?\nAnswer: 75912.2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from {n: 2, e: 1, p: 1, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 4.77\nAnswer: 1.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 2182?\nAnswer: -2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*((a**(-1\/4)\/a)\/a)\/a*a)\/a*a))**8*(a**(1\/2)*a)**(-6) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3387 * 0.2.\nAnswer: 0.46774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/2 - (-3)\/2. Suppose -o + l*o = 0. Suppose o = b + b. Solve -9 = 4*v - h - 1, b = -5*v + 5*h - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w. Suppose -35 = 30*m - 35. Let k(a) be the second derivative of 1\/12*a**4 + 4*a + m + 0*a**2 + 0*a**3. Determine z(k(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 307 - 293. Suppose -j = 2*s - 9*s. Solve 2*w = -s*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 372*h**2 + 13860*h - 110700.\nAnswer: -4*(h - 15)**2*(h + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 6:44 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64074128 divided by 32037064.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + -1*(1 + sqrt(1900)))**2*4.\nAnswer: -240*sqrt(19) + 7633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -13 + 6 + 3 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 398*j**2 + 1988*j + 9236. What is b(-194)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v - 12*v**3 + 14*v**3 + 8*v.\nAnswer: 2*v**3 + 32*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1008) - sqrt(1008)) + sqrt(1008))*-5 - -2*2*sqrt(1008))**2 - (-5 + sqrt(1008)*1 + ((sqrt(1008) - sqrt(1008)*1) + sqrt(1008))*6).\nAnswer: 36*sqrt(7) + 1038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6341?\nAnswer: 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + 2)*(2 + 4 - 5) + (2 - 1 + 0)*(2 + 7 - 3) - 4 + 3 + 2)*(-26 + 7 + 65)*(z + 0*z + z) as r*z + f and give r.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2850883, -2850880, -2850875, -2850868, -2850859?\n\"Answer: c**2 - 2850884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b**5 - 25*b**3 - 30*b**2 - 25. Let o(g) = g**3 + g**2 + 1. Let p(v) = m(v) + 25*o(v). Find the third derivative of p(q) wrt q.\nAnswer: 900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2040290964.\nAnswer: 2, 3, 2837, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.03 - 0.03. Let c = 11 - 6. What is the nearest to -1 in -1, c, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 107, -15721, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 25*w**2 + 96*w + 67. Calculate s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -0.4, 2, 176.\nAnswer: -0.4, 1, 2, 3, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40019299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 - 15*j - 43. Is h(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:24 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l*x**6 - 7*l + 7*x**6 + 26*x**2 wrt x.\nAnswer: -960*l*x**3 + 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(432) + 2 + -4 + 3*(-4 + (2 + sqrt(432) - sqrt(432))))**2 + -5 + -2.\nAnswer: -168*sqrt(3) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 0.7684.\nAnswer: -13.8312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q + 5*k - 29, -5*k = -5*q + 115. Calculate the greatest common factor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076664924 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1092)\/2184*258\/9.\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6525*n - 1 - 2343*n.\nAnswer: -8868*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 0.3186 in descending order.\nAnswer: 0.3186, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -12 + -3 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/2 + 777*q\/2 + 387 = 0. What is q?\nAnswer: -258, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25177115 a multiple of 1279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t = 53*t + 46. Calculate the remainder when t is divided by (-2)\/7 + (-172)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 218.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.2 - 6436006?\nAnswer: -6435930.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1816 - 504860*f**3 + 1816 - 2*f.\nAnswer: -504860*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260090 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/7 + 96312*s**3\/7 - 166437978*s**2 + 133843571440*s\/7 + 135008733600\/7 = 0.\nAnswer: -1, 117, 24020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*3\/(-9)*2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134.46 - 8.66. Let n = q - 126. Let z = 2 - 7. Put z, n, 1 in descending order.\nAnswer: 1, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6 + 9 - 3 - y. Let i be v(0). Suppose i = 8*d - 10*d + 10. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -1\/5, -2\/237, 264, 19 in ascending order.\nAnswer: -5, -1\/5, -2\/237, 0.1, 19, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.12 + -1. Let v = -5485 - -5484.87935. Let z = v + o. What is z rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 40, 63, 86, 109, 132?\n\"Answer: 23*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2308*(-6)\/12*(0 + (-3 - 3)). Which is smaller: c or -6923?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*a = -25, -2*i + 11 + 2 = -3*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, 1, 3 in increasing order.\nAnswer: -19, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7 - 2*a - a + 3*a + a. Let s be g(-7). Let o(n) = n**2 + 1. Let m be o(s). Solve 0*v + v + m = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 95*s + 485. Is m(64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50306633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, u: 13}. Give prob of picking 2 u.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (17 - 6)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 36, 95, 208, 393, 668, 1051, 1560?\n\"Answer: 3*q**3 + 2*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 + 36*s**4 - 84*s**3 + 76*s**2 - 24*s.\nAnswer: -4*s*(s - 6)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 + 4*u**2 - 2 + 3*u**2 + 0*u + 2*u. Calculate the least common multiple of 5\/3 - 1\/(-3) and w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 2, g: 1}. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 50 (b) 24 (c) -2\/577 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 193 = 5*g - 20*l - 8*l + 7, -36 = -l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*h - 9, -6*r + 3*r + 2655 = 5296 - 2647 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 - 2 = 0. Let x(p) = 4*p**3 + 4*p**3 - 5*p**3 - t*p**3 - 3*p**2 + 4*p. What is x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 6*m**2 - 9*m + 5. Let b be d(-8). Let p = 55 + b. Suppose 23 = p*z - 65. What is the least common multiple of 18 and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxp when three letters picked without replacement from {p: 4, x: 1, i: 1, s: 1, f: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 8. Let k be i(-5). Let v(b) = b**3 - b - 2. Let h be v(k). Suppose 740 + 192 = h*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 3*b**3 + 0*b**3 + (-2*b**2 - 3*b**2 + 3*b**2)*(6*b - 2*b - 3*b) - 2*b - b**3 + 2*b - b**3 + 3*b**2 - 3*b**2 - 7*b**2 + b**3 + 7*b**2.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 18*c + 3. Let s be u(16). Is 13 a factor of (s + 12)\/((-1)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 157, -15627 in decreasing order.\nAnswer: 157, -2, -15627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**3 - 1752*l**2 + 2242*l - 448. Let c(m) = 2*m**2. Let p(t) = -50*c(t) + 2*k(t). Solve p(f) = 0.\nAnswer: 1\/4, 1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let w(m) = 8 - 4*m - m**3 + 6*m**x - 5*m**2 + 6*m**2. Let d be w(6). Solve 6*b = b + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27402?\nAnswer: 2, 3, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -76308456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -9, -13, -19, -27, -37, -49?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54892\/1588235 - -16\/2155. What is the common denominator of g and 14\/67?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*(0 + sqrt(1216) + 1) - (-2 + -2*sqrt(1216))*5))**2 + 2.\nAnswer: 896*sqrt(19) + 59650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 1123 in ascending order.\nAnswer: -5, 1, 1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6077 - 9817. Let d be (-2480)\/z + 2\/(-17). Suppose d*b**2 + 0*b - 8\/11 + 2\/11*b**3 = 0. Calculate b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -381400 less than or equal to -381890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0479 to 3 decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 x when four letters picked without replacement from mxynxmmmyxx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007447 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/9 - 120742*c**3\/9 + 13416*c**2.\nAnswer: -2*c**2*(c - 1)*(c + 60372)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (3 - (-44)\/(-12)). Let t = 18.7 - 18. Let r = -50 + 49.5. What is the third smallest value in p, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16770445309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 4*y + 2*y + ((0 - 1 + 3)*(-3*y + 3*y + y) + 3*y + 3*y - 4*y - 6*y + 2*y + 2*y)*(4 + 3 - 5).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, l: 13}. What is prob of picking 2 l and 1 b?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l**2 + l + 1. Let n be r(-1). Let y be (48\/(-9))\/4 + 2. Which is the closest to n? (a) -0.2 (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3 + 3*z. Let w(m) = -2*m. Calculate s(w(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1071.605 + 0.605. Let i = -1071.4 - y. Which is the fourth biggest value? (a) 0.5 (b) 3 (c) 25 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38970781 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101486 - 12892?\nAnswer: -12891.898514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*o - 1107, -3*f = -21*o + 26*o - 1107. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (-28 - -75 - 19)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1286 and 83\/16.\nAnswer: 10288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 3\/((-60)\/50). Suppose 5*s - 3*s - 5*n + 1492 = 0, 0 = -a*s + 3*n - 2256. Which is smaller: -755 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - 24) + (-27 - -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*y - 4 = -p, -4 = -2*p + 4*y. Let 25\/8*z + 5\/2*z**p + 0 + 1\/2*z**3 = 0. Calculate z.\nAnswer: -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - p + 4297. Suppose v + v + 8 = -3*h, 2*h = 4*v + 16. Is a(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.4 + 32. Let t = r - 35. Round t to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 39*y - 9*y - 4*y - 3*y to the form p*y + j and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13767866 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256265?\nAnswer: 5, 107, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489 is divided by 177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 + 10 = 0. What is the second derivative of h + 3*h + k*h**5 - 6*h wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:37 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0035 and -164.28589.\nAnswer: -164.28239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1386811*s + 1889407 wrt s?\nAnswer: -1386811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = j + 18. Solve -27 = j*v + 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*x + 187 - 547 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:28 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 9 = -a. Let w = 2 + 62. Calculate the remainder when w is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 divided by -1376?\nAnswer: -343\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 8 = 4*q. Let f be ((-2)\/q)\/((-2)\/(-8)). Suppose -3*u**3 + 2*u**3 - 2*u**2 + u**f - u - u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/35))\/k**31)\/(k**25)**(-32) assuming k is positive.\nAnswer: k**(26952\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -13. Suppose -4*z = g, 9 = -3*z - 3*g - 0*g. Suppose -2*t - z = -7. Solve -5*n - 30 = 5*k, -t*k + 3*n - 7*n = q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 4*z + 3. Give q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 16371928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - 1. Are m and -36 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51423033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/120 + 7*c**5\/60 + 3*c**3\/2 - 68386*c**2. Suppose 43 = -5*a + 8. Give g(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.904 + -0.096. Let k = d - -14. Let u = 0.13 - 0.05. What is the second smallest value in k, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/10)\/(t**(1\/2)\/t)*t**1*(t*t*t**6)\/t*t)\/((t**6*t*t**(1\/3)\/t)\/(t**0*t\/t**(-2))) assuming t is positive.\nAnswer: t**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 196058867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*p*y**2*z - p*y*z**2 + 2*y**2*z**2 - 10*y**2*z - 2*y*z**2 wrt p?\nAnswer: -54*y**2*z - y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*g**3 - 101*g**3 - 98*g**3 + 25 to the form w*g**3 + t*g + z*g**2 + y and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 127364*a**2\/7 + 200190*a\/7 + 109188\/7 = 0 for a.\nAnswer: -9099, -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z + 2*z + 24*z**4 - 9*z**4 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2421528 and 35\/19808?\nAnswer: 9686112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 41*o**3 - o**2 + 1. What is q(1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**5\/4 - 5*k**4\/8 + 416. Factor p(r).\nAnswer: -5*r**3*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -1.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -33.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 + 31 = 5*b, 5*m = 10. Solve -4*x = 4*k - b, -5*k + 26 = 2*x - 4*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 620 + -232?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-14 + 13) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 255695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 17*t**2 + 30*t + 31. Let k be h(-14). Let w = k - 1396\/7. Put -2\/7, w, 3\/7, 1\/2 in descending order.\nAnswer: 1\/2, 3\/7, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-72) - 2\/9. Suppose i + 4 - 10 = m. Suppose g - 2*r + 0 = 2, -3*g = -3*r - i. Solve -c = -0*c + 2*o, 0 = -g*c + 5*o + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145.512 rounded to the nearest integer?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5 - 2)\/(2\/(-5)). Solve -5*p = -h*z - 65 + 20, 20 = 2*p - 2*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -3?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 20. Let n(c) = -c**2 + c + 24. Let d be n(0). Suppose -8*o = -2*o - d. Put 5, -9, k, o in descending order.\nAnswer: 5, o, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkpkkkkkkkkkkkpkpk. Give prob of sequence ppkk.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 310 = -44. Let h = g + 24. Which is bigger: h or -15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9703 + 9743. Solve -17*o + 79 = -r for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/13 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3376.206 rounded to zero dps?\nAnswer: -3376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1597*z**2 + 943*z**2 - 1994*z**2.\nAnswer: 546*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*(f*f*f*f**(4\/9)*f)\/f*f)\/f*f)*f*f*f**2)\/(f**(2\/13)*f*f**(-1)) assuming f is positive.\nAnswer: f**(-187\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.989 + 0.011. Which is the third smallest value? (a) 23 (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(((-32)\/(-20))\/(-1)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 + 94*x - 29. What is the hundreds digit of r(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15 (b) -1\/2 (c) 9943\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6976*b**6*l - 1433*b**4*l**3 - 23*b**2*l**3 + 151*b**2*l**2 + 20*b**2*l + 5*b*l - l**3 wrt b?\nAnswer: 837120*b**3*l - 34392*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 2 r when four letters picked without replacement from rqrrqqrvr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -3 - -1) + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/(-72) - (-2)\/9. Let z be 13 - 12 - (1 - d). Suppose 5 = -2*u + z, 6 = 4*b + u. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989525218 to the nearest integer?\nAnswer: 31457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(10 - (4 - -1)). Let w(h) = -h**2 - 27*h - 18. Let l be w(g). Are 32 and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56007.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 2, q: 5}. What is prob of sequence wq?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + h + 4. Let c be y(3). Suppose -c = -5*k, 3*k + 15 - 6 = 3*z. Solve 5*p + z = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 4. Let y(z) = z - 3. Let g = 2 + -5. Let c(w) = g*f(w) - 4*y(w). Let p(a) = -2*a. Determine p(c(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*(-999)\/36. Let u = -19 + d. Which is bigger: u or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49210432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/7)\/((-36)\/120)*36\/(144\/14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530, -4244, -14330, -33974, -66362, -114680?\nAnswer: -182114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 75*m - 6947. Give q(-128).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*i + 119*i = -12. Suppose 0*l = l - 2. Let b(m) = -2 + m**2 - 2*m**2 + l*m**2. Give b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 + 7*o**3 + 2*o**3)*(-5 + 4 + 2) + 192*o**3 - 2048*o + 2048*o.\nAnswer: 195*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*q - 406 = 0, 0 = 2*p - 4*q - 5 - 415. Let b = p + -146. What is the lowest common multiple of b and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 59*z + 10438. Let k(c) = 17*c + 3477. Let w(s) = -7*k(s) + 2*v(s). Let d(x) = 2*x**2. Give w(d(g)).\nAnswer: -2*g**2 - 3463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -14*j**7\/15 - j**6\/120 - 47*j**5\/30 + j**4\/8 - j**2 - 23. Find the third derivative of q(z) wrt z.\nAnswer: -4704*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 1 (c) -2\/3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 1\/13, 2\/3, 0.4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (21\/(-77))\/(27\/(-66))*(9893 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285661.4 + 135?\nAnswer: -285526.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -97*r**2 + r - 2. Let x = -10847 - -10848. What is j(x)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 180 (c) 1\/23 (d) -221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 111428*a - 13928508. Give d(125).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28 = -2*h, 5*h - 4 = 5*d - 4*d. Let i = d + -4. What is the remainder when i is divided by 2?\nAnswer: 0","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 xxl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675740383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 16*w**2 + 13*w - 20. Suppose -14*o = 94 + 116. Calculate d(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67393.73 litres?\nAnswer: 67393730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -107, -103.\nAnswer: -107, -103, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 1:51 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i + 3*i - 1 + 5 + 0*i. Let h be c(-22). Calculate the greatest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -15*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90.5 + 89.9. Is -62\/17 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -189\/4468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-513)\/380*-16 + (-5)\/(75\/(-6)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 276588*z + 1382865.\nAnswer: 3*(z - 92191)*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 17276?\nAnswer: 69104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 8 + (-12 - -160) + 14?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -202102?\nAnswer: -202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*q + 20, 3*h + q + 76 - 5 = 0. Let r = h - -30. What is the remainder when 29 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64670886 equal to 64670899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + t - 479, -x + 2*x = 2*t + 98. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -1201058\nAnswer: 1201057.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 2*c**4 + 3*c**3)*(6 - 4 - 16*c + 2*c + (0 - 3 + 2)*(-2*c - 2*c + 6*c) + c - 4 + 7 - 2*c - 5*c + 3*c - 4*c).\nAnswer: -46*c**5 + 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 446261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 113*y**3 - 2*y**2 + 264*y - 803. What is n(3)?\nAnswer: 3022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -56, -127, -248, -431, -688, -1031?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -2\/6489 (b) -1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 + 6*f**3 - f + 3*f + 26 + 4*f**3 - 9*f**3. What is the least common multiple of s(-4) and 98?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 6:37 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24298316 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7101324 by 6.\nAnswer: -1183554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010011101101000100100 (base 2) in base 7?\nAnswer: 32212363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**3 + 45*s**2 + 5*s - 5. Let y(i) = -5*i**3 - 22*i**2 - 3*i + 3. Determine 3*x(n) + 5*y(n).\nAnswer: 2*n**3 + 25*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, -5, 4 in ascending order.\nAnswer: -111, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 96185 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g**3 + 19*g**2 + 7*g + 13. Let m(q) = 2*q**3 + q**2 - q. Let l(b) = 3*m(b) - n(b). Is l(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 1, o: 5, g: 1, q: 1}. What is prob of picking 2 i and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1024 and -53\/1152.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1151785480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*b + 213*b - 121*b = -858 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*t**3 + 163*t**2 wrt t?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40a79 + -5?\nAnswer: -40a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -70*x**2 - 5*x + 50. Let f(k) = -52*k**2 - 3*k + 50. Let j(n) = 4*f(n) - 3*w(n). Let t(o) = o. Determine j(t(p)).\nAnswer: 2*p**2 + 3*p + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*b**2*k*z**3 - b**2*k*z + b**2*z**3 + 2*b*k*z**2 - 6*b*k - k*z**3 - 3*z**3 + 65*z**2 wrt z?\nAnswer: 390*b**2*k + 6*b**2 - 6*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*t, 2*n - 14 - 7 = 3*t. Suppose -6 = -0*z + n*z. Let y be 65\/(-140) - z\/(-7). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 258*u**3 + u**2 + 2*u. Let v(w) = w**3 + w**2 + 2*w. Determine f(q) - v(q).\nAnswer: 257*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 2439603*r**2 + 4879197*r - 2439597.\nAnswer: 3*(r - 813199)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 676 and 73181563?\nAnswer: 292726252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.3.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 281461960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4630505397 to the power of 1\/4, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -160*u**2 - 4163*u - 59. Calculate f(-26).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -3*g**8\/560 - g**6\/36 - 2*g**3 - 8*g**2. Let l(t) be the first derivative of q(t). Find the third derivative of l(w) wrt w.\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24443027548093723\/217118 - 112579461620. Let g = 140\/1529 + j. Calculate the common denominator of 2\/(-20) + (-2270)\/50 and g.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) 4 (c) 0 (d) 2\/483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 82*d**2 - 20 + 41*d - 3 - 3 + 27 to the form f + w*d**2 + l*d and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 9*c = 36. Solve 0 = 2*m - 2*f, c*m = -0*m - 3*f - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 2, j: 4, l: 1}. Give prob of picking 1 q, 1 u, and 1 j.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = 5. Let x be (4\/(-12) + 92\/6)*7. Suppose -6*n = -x - 27. Calculate the remainder when n is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 114, 66, -106, -444, -990, -1786?\nAnswer: -2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232*v**4 - 357*v**2 wrt v?\nAnswer: 5568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 708 and 707 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (52 - -2) + (-63 - -52) - (-1 - -5 - -8)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:55 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 0*w**3 + w**3)*(12 - 45 - 33)*(-49 + 52 - 63).\nAnswer: 3960*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10452677.\nAnswer: 10452677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68.884 - 0.116. Let g = 68.5 + v. What is the nearest to -0.1 in 3\/2, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 15*g - 3*g)*(-3*g + 3*g - 3*g**2)*(0 + 3 + 0).\nAnswer: 135*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 2*i - 2*i)*(-2 + 2 - i) + 3*i**2 - 4*i**2 - i**2)*(-2*i + i + 3*i) + 2*i**3 - 3*i**3 - i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043640 a multiple of 669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -43. Let r(a) = a**3 + 6*a**2 - 2*a + 12. Is r(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(3800) + (sqrt(3800) - -6*2*sqrt(3800)))\/(2*1*sqrt(2) - (sqrt(6) + (sqrt(96) - sqrt(6)))\/sqrt(3)))**2.\nAnswer: -279300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 539.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5855 = 78*w + 74*w + 177*w + 21976 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n\/n**(-5)))\/(n**(-3\/8)\/((n**19*n)\/n)) assuming n is positive.\nAnswer: n**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1770 and -866.\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164842 is divided by 82267.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**3\/33 + 2*y**2\/11 - 6*y\/11 - 12. Find g, given that v(g) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 20039?\nAnswer: -20038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 50059.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 6 = 34 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 80. Let f be 7\/((-49)\/r) - -3. Is 1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13264 + 615?\nAnswer: -12447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2507 and 436.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 6. Let p be v(8). Let f = p + 5. Suppose 0 = q - f*z + 871, 3*q = 7*q - z + 3517. Round q to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15285 and -0.956?\nAnswer: -14612.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27410 + 27409.9719. Let o = 3.4 + -3. Sort 0.3, o, q.\nAnswer: q, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8)*-2)\/(3\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608, -616, -624, -632, -640?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59030, 55632, 52234, 48836?\n\"Answer: -3398*c + 62428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) + 237\/(-27). Let i(l) be the third derivative of -l**6\/120 - 3*l**5\/20 - l**4\/12 - l**3 + l**2. What is the tens digit of i(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1033.8758 and -0.3?\nAnswer: 1033.5758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -31\/5*s**5 + 12*s + 0*s**3 - 14 + 0*s**4 + 0*s**2. Find the first derivative of z(y) wrt y.\nAnswer: -124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 4*c**2 - 2*c - 1. Suppose 6*y + 16 = 2*y. Calculate the remainder when 32 is divided by f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*a = 837*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let g(r) = -8*r**2 + 568416. What is g(o(l))?\nAnswer: -8*l**4 + 568416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.12146 decades to years.\nAnswer: 621.2146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 72 + 88. Let v(l) = 62*l**2 + 1. Calculate the remainder when v(-1) is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21822850683168.3 - 21823220834574.299937. Let h = 370151254 + q. Let f = -152 - h. Round f to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*o - 5538 + 404 = 235 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4138, 4136, 4134, 4132?\nAnswer: 4130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424079259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {f: 2, c: 1, q: 5, w: 5, y: 5}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2203 - -1301. Let i = a + 904. Solve 5 = -j - 0, -i*l + 3*j = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -41, -66, -93, -122?\n\"Answer: -u**2 - 20*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t**42\/t)*t\/t**(-35)*t*t**(-1\/17)\/((t**1\/t)\/t) assuming t is positive.\nAnswer: t**(-18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 285.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1828 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from axc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298856 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - m + 110 = 0, 0 = -z + m - 0*m + 28. Suppose 0 = 3*g - 31 - 8. Calculate the remainder when z is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11102112 (base 5) in base 14?\nAnswer: -2759b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10743502 and 8162.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p - 7242 + 7242.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-24)*6168\/260598\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -94. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:37 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12942 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4185 and 8940.\nAnswer: 2494260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 + 7. Let r be d(7). Suppose r = w - 11. What is the units digit of 0 - (5 - 4 - w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -73.96643, 3\/5.\nAnswer: -73.96643, -3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 37*s = -600. Calculate the greatest common divisor of 600 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6.3 (b) -9 (c) 3 (d) 2\/7 (e) -0.4 (f) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - ((-84)\/39 - 0). Let n = -1158 + 494.6. Let w = n + 663. Put w, v, 5, -5 in ascending order.\nAnswer: -5, w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/350 and 103\/1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)*r*r)\/(r**(2\/17)*r))**(-14) assuming r is positive.\nAnswer: r**(-278\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ac (base 16) to base 7\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220233002 + -1031?\nAnswer: 1220231311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a day in minutes?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 375.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/(-396) + 10\/11*-1146. Let s = r - -3128\/3. Factor 8\/5*a + 16\/15 - 12\/5*a**2 + s*a**3.\nAnswer: 2*(a - 2)**2*(5*a + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhff when four letters picked without replacement from ffhffffhfff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979239393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 21*d**2 - 47 - 49*d**2 + 20*d**2 - 15*d**3 + 8*d.\nAnswer: -15*d**3 + 8*d - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + (11 - (10 + 2)) - -18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2434648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 6*f - 7. Let s be g(-7). Let q = s + 0. Suppose q*b - 32 = -4*b. Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + 0.58. Let f = -0.6 + g. Let z be -8 - -5 - (-25)\/8. Which is the third biggest value? (a) f (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, k: 2}. What is prob of sequence kbkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -654312 and -654312 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.52693068 less than -3071?\nAnswer: -3077.52693068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**2 - 7*v**2 + 13*v**3 - 2 + 2*v**3 + 2 + (-46*v + 46*v - 5*v**2)*(0 + 2*v + 0).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48081 is divided by 2527?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138606 times 0.14?\nAnswer: 0.01940484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179 and 1.47908?\nAnswer: -264.75532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-74)\/(-4))\/(11\/176)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-1)*4*((-52)\/91)\/((-60)\/70).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b*b*b**(3\/2))\/(b**(-2\/15)\/b**7)*(b\/b**0)**(-1\/4)*(b*b**(-1\/2))**(3\/5) assuming b is positive.\nAnswer: b**(521\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {a: 6, n: 1, p: 1, h: 1, t: 2, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 4. Let p(x) = -15*x - 28. Let v(l) = p(l) - 8*q(l). Let s(i) = 35*i - 21. Calculate 2*s(h) + 11*v(h).\nAnswer: -7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -30969*w - 651. Let r(m) = 190*m + 4. Let s(j) = -651*r(j) - 4*x(j). Let z(b) = -b. Give s(z(d)).\nAnswer: -186*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.1, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 20, v = -3*z + 19 + 10. Let j(b) = -b**2 + 5*b + 14. Let k be j(z). Let w = 1 - k. What is the highest common factor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 7*t + 3. Does 4 divide n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 divided by 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 10 + 20 = -m, 12 = -2*j + 3*m for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 1\/3 (c) -2\/7 (d) 19\/185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 3:44 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*d + 507*d - 6336 = 0 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47370371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 43.1. Let k(q) = 3*q + 28. Let x be k(-10). What is the closest to x in 3, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15822574*o - 6887034.\nAnswer: 15822574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from {l: 10, u: 4}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 4*v**2 + 4*v**2. Let x(t) be the third derivative of -t**5\/60 - 7*t**2. Determine x(r(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -19*u**4\/12 - 49*u**3\/6 + 5*u - 15. What is the second derivative of a(d) wrt d?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50525541\/(-993857) + 6\/(-37).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -463 + 460. What is the closest to k in -1, 0, 4, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2054*b - 39 - 10048*b + 36 + (-b - b + 0*b)*(-6 + 1 + 3) - 2*b + 2 - 2.\nAnswer: -7992*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -567, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -71) + (5 - 2). Let i = m - 50. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146122112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 19. Suppose 4*x - 46 = p*x. Determine a so that 2*a + x*a + 3*a**2 - 7*a + 27 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3132\/720)\/(3\/5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**6\/720 + b**4\/4 - 2*b. Let q(a) be the third derivative of m(a). Give q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 16. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 5*b**2 + 3. Let x = -58 + 55. Let d(n) = -7*n**3 + 9*n**2 - 5. What is x*d(v) - 5*r(v)?\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253 - 168. Calculate the remainder when v is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t - 51*t + 325 = -19*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30617*b**4 + 3088*b**3*o + 27906*b + 2380*o wrt b.\nAnswer: -367404*b**2 + 18528*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -22. Suppose 35*l = 34*l + o. Suppose -x = l*x - 153. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/(-4))*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 k when three letters picked without replacement from zqkzzjzkuzuz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 13) to base 15.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, -5, -2, 2\/25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 25970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232.1 + 232. Is 70 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -641, -266, 469, 1684, 3499?\nAnswer: 6034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:50 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**7*j)\/j)*j**(-2\/5))**(11\/2)*(j\/j**0*j)**(-5)\/(j*j**6*((j*j\/j**3)\/j)\/j*j) assuming j is positive.\nAnswer: j**(-251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 8*r - 70, 5*r = 5648*z - 5652*z + 48 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1665*q**3 - 639*q**3 - 20*q + 20*q.\nAnswer: -2304*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/132 + (-6)\/(-33). Which is greater: t or -5\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324 + 324 + 21*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 286 = -4*d. Solve -j - 2 = -3*g - 3, 5*g = -4*j - d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 2. Suppose -10 = f*k, -2*w - 3*w + 3*k = -68006. What is w rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 15. Give g(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuruuwzwzu. What is prob of sequence wu?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (114\/(-95))\/(4\/(-10)). Let u(t) = 2*t**3 + 3 - v*t**3 - 31624*t + 3*t**2 + 31620*t. What is u(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(3 - (-385)\/(-125)). Let c = y + 87. Is (-3576)\/8*(-4)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 2. Let y be p(3). Suppose 0 = y*g + 5*o + 25, 5*g + 2*o + 12 = g. Is -2\/27 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 182 = -10*s. Calculate the smallest common multiple of 16 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/5)\/((-14)\/(-35)). Sort 2, -2, -1, s.\nAnswer: s, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1223 - 127191\/104. Let p = -189\/1976 - m. Which is the closest to 1? (a) 0.4 (b) -2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by -5 + 20\/5 - -1*35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30999010 rounded to the nearest one hundred thousand?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 6*o**3 + 7*o**3)*(10*o**2 + 77 - 31 + 13*o - 48).\nAnswer: 130*o**5 + 169*o**4 - 26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036759014 rounded to 4 dps?\nAnswer: -0.0368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 0*c - 168 = 0. Let h be 65800\/c*(-6)\/2. Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11312 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, x: 2}. Give prob of picking 1 m and 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 13*d**2 + 14*d + 5. Let m be f(14). Let l be (2\/m)\/(8\/20). Let g = 2 + l. Solve -2*q - t + 12 = 2*t, t = g*q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a - 1. Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/282491 and 20\/25681?\nAnswer: 282491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/((-74998)\/(-25000) - 3). What is q rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306.1546km to millimeters.\nAnswer: 306154600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -23*g - 1450. Give s(-70).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 29*w**3 + 85*w**3 + 0 - 151*w**3.\nAnswer: -37*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -17, 9, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25739494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -85 - r**2 + 26*r + 27*r + 24*r + 36*r - 92*r. Give q(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258961, 258301, 257641, 256981?\nAnswer: 256321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -124*s + 13820. What is x(112)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(-5 + (-3 + sqrt(1088))**2) + 5.\nAnswer: -5450 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2087 + -2090. Suppose -k - 3*v = -1, -v + 5 = k - 2*v. Let j = -394 - -392. Put y, j, k, -1 in increasing order.\nAnswer: y, j, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 2.03.\nAnswer: -3.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 12. Suppose -k - 4*z = -0*z + 20, 2*k + 2*z = -10. Suppose 4*l + 30 = 2*h, -5*l + 3*h + k*h = 39. Let q be u(l). Round q to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 2*b**2 + b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaiysz. What is prob of picking 1 i and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 9*o - 6, -1036 = -2*a - 3*o - 1037 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 + 3 = 0. What is the remainder when j is divided by 6 + -4 - (1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3 - 17686*g**2 + 17684*g = 0.\nAnswer: 0, 1, 8842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 39784*q - 4180800.\nAnswer: 4*(q - 10050)*(q + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26574 - 26574 + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966*g - 969*g - 952*g - 965*g - 4*g**3 + 4812*g - 960*g + 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**3 + 6*d**2. Let w be -7 - -1 - 1*-3. Let l(c) = 7*c**3 + 11*c**2 + c. Let v(u) = w*l(u) + 5*f(u). What are the prime factors of v(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*y**2 + 18*y**2 - 19*y**2)*(-11*y**2 + 8*y**2 - 22*y**2) + (-3*y + y + 0*y)*(4 - 4 - y**3).\nAnswer: -848*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19935373 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + -4 - (1 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15041824 and 3328.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5154 = -5139 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:42 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u\/u**(-2)*u))*u*u*u*u**(3\/5)*u*u*(u\/(u*u**(-3)*u))\/(u**(-6)*u))**(4\/11) assuming u is positive.\nAnswer: u**(312\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18b - a0040?\nAnswer: -a01cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*(-7)\/1540 - -1 - (-5)\/(-10).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.042 - 0.042. Which is the smallest value? (a) 0.11 (b) -1 (c) -5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2674910\/477 - 4\/(-18). What is the hundreds digit of -3*(-16)\/12*n\/32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 202*n - 64. Is c(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 + 2*a + 13. Determine d(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -278*k - 3616. Let o be l(-13). Let x = -7 + 10. What is the nearest to o in 1, 4\/3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1007, -733, 33, 1537, 4025, 7743, 12937?\n\"Answer: 41*o**3 - 13*o - 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -415, -506, -597, -688, -779?\n\"Answer: -91*u - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2095 = 41*u - 36*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489 + 231. 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: Solve 3*c + 0*c = 2*b - 8, -b + 4 = 4*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 0*u - u)*(2*u**3 - 3 + 3) + (-12 + 0 - 12)*(8*u**4 + u**3 - u**3).\nAnswer: -184*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 9*u + 5*u - 6*u**3 + u.\nAnswer: -4*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 2407*i**3\/3 + 829*i + 424. Find the first derivative of r(m) wrt m.\nAnswer: 4814*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866071 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 154 = 8*a + 9*u - 15, -5*a = -5*u - 195 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 2*z, 2*s + 38*z - 43*z + 7 = 0. Let v be 4\/12 + 10\/(-3). Put -4, s, v in increasing order.\nAnswer: -4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-21) - (-46)\/14. Suppose -5*s + s - 5*o + 74 = 0, l*o - 15 = -s. Let f = 1 + s. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -784*l + 1986*l - 2 + 2 + 6031*l to w*l + a and give w.\nAnswer: 7233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 45*j + 191. Let x be n(18). Which is greater: 5002\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2\/3, -0.03 in descending order.\nAnswer: -0.03, -2\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -82 - 8. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 9*l - 4. Suppose 0 = k + 2*j + l, -4*k - 2*j = k + 10. What is the units digit of ((-1)\/(-3))\/(9\/(-27)) - k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - -40. Let g(p) = p**3 + p**2 - 6*p - 5. Let z be g(-4). Let y = z + k. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703296 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 100 = 3*p + 21, -5*b + 323 = -3*p. Calculate the remainder when b is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(56\/(-24)*(-6)\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577 + 46 = 89*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3 - 10*v**2 - 3103*v. Calculate z(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279 divided by -256\nAnswer: 279\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i - 95 = -2*l, 0 = -5*l + 3*i + 190. Let c be 1824\/(-14) - (-5 - (-165)\/l). Calculate the common denominator of -115\/18 and (-2)\/(-4)*559\/c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*q - 139. Suppose -u = -12*u + q. Suppose -p = 12 - u. Let t(w) = -w**2 - 10*w - 7. What is t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -263738*n*t**2*y**2 - 6992*t**2*y**2 - 22*t**2 wrt n.\nAnswer: -263738*t**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 11) to base 13\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 23 + 49 - 10*a**3.\nAnswer: -2*a**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12023 divided by 1093.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*w - 44, -3*w - 2*c = 3*c + 47. Let i = w - -19. Solve -5*m - 3 - 8 = -y, i*m + 27 = -3*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2947\/2 (b) 0.4 (c) 45\/14 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 * 331.\nAnswer: 15888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001110101 (base 2) in base 4?\nAnswer: -2021311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 0*w + 17 - 1\/2*w**2 + 10\/3*w**3. Let o = 1 - 2. Calculate p(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2. Let f(h) = -1782*h**2. What is b(f(o))?\nAnswer: -9526572*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.4 and 17565.4?\nAnswer: 17567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = 7, -5*s = a + 300. Let f = 61 + s. Suppose -3*y + 0*y + 4*k - 8 = 0, -f*k = -5*y - 4. Put -3, y, 6 in ascending order.\nAnswer: -3, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414464?\nAnswer: 2, 3, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 2*f**2 - 2*f**2 + (6 - 2 - 3)*(0*f**2 - f**2 - 2*f**2) to the form y*f**2 + w*f + i and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3*a**2 - a + 67. Let i = -36 + 62. Suppose -d + i = 2*d - 5*x, 4*x + 22 = 3*d. Give y(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8395 - 0.3395. What is the second biggest value in -0.5, l, -2, -22, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-18)*-33)\/(1\/47). Let c = x + -275. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 704?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2146)\/(-348) + ((-7)\/(-6))\/(-7). Let a = 2 - 1. Let t be a + 5 - 2 - 0. Solve -3*c - t*g = -9*g + l, c - 2*g + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 976486 - 976485.299993. Let g = -0.7 + c. Round g to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*n - 2037496 = -2006639 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515876 is divided by 677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 - 75*j**2 - 45*j**2 + 43*j**2 + 22*j**2 + 23*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -291*o**2*t - 8971*o*t + 36791929*t wrt o.\nAnswer: -582*o*t - 8971*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-52)\/39)\/(1\/(-9)). Let w be 1\/((13 - n)*(-2)\/(-6)). Calculate the remainder when 63 is divided by (123\/5 - w) + 2\/5.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - 0.03. Let x = -0.419 - -0.019. What is the nearest to 2\/7 in x, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -19*n + 32*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -82?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*4\/3)\/(2\/3). Let z = 0 + k. Solve -l - n + 0*n = z, 0 = -3*n - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppnppnp?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4 + 1 + 7*c**2 - 2 - 6*c - 1. Let l = 16 - 3. Let n(p) = -15*p**2 + 13*p - 4. Calculate l*r(i) + 6*n(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a**5 + 137*a**4 + 459*a**3 - 1094*a**2 + 608*a - 96 = 0.\nAnswer: -4, 2\/7, 1\/2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -45. Sort -5, 4, j, 2 in decreasing order.\nAnswer: 4, j, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 12*x**2 - 32*x + 3. Let c be n(-8). Suppose 4*o = -2*d + 2*o + 1762, -2651 = -c*d + o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150986\/1057 + 1000\/7. Is 0 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 12*f**2 - 8*f - 16. Let u be y(11). Suppose -5*b = 2*j + 7, 0 = 5*b - 2*j + 1 + 2. Does 17 divide (b - -3)*u\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-126)\/33 - -4) + 780\/66. Let b be 6\/o*(-12)\/(-8)*-2. Put -0.3, b, -1, 2 in ascending order.\nAnswer: b, -1, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 - 5*q**3\/3 - 2*q**2 - 2*q - 3164. Determine c(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*p + 850 = -270*p + 110*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) 0.1 (c) 2\/7 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y - 16 = 0, u = -2*y + 145. Let w = 201 - u. What is the smallest common multiple of w and 40?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24 and 27\/332125732.\nAnswer: 1992754392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33681, 67339, 100997, 134655, 168313?\n\"Answer: 33658*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.4 (c) -2349 (d) -9\/11 (e) 1\/10 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.49 - -0.52. Which is the nearest to -23? (a) -0.1 (b) o (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 83. Let y = p - -12. Suppose 5*w = -t + 60, 2*w - 27 = -t + y. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**3 + 11*d**2 - 10*d. Calculate q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v. Let u(i) = 2443*i**2. Give q(u(s)).\nAnswer: -14658*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/3 - -3) + -1. Suppose v - 5*v + 32 = o. Find the third derivative of v*d**6 + 10*d**2 - 10*d**6 - 4*d**2 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnngtonntg. What is prob of picking 1 t, 2 n, and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 28 + 11 = -5*l, -9 = 3*l + 3*z. Let u be (1*(-166)\/l)\/(-4 + 2). What is the tens digit of (-6)\/(-3) - (3 - (u - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 138*d**3 - 636*d**2 + 870*d - 369.\nAnswer: -3*(d - 41)*(d - 3)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225 + 120. Let k be (-208)\/16*(-4 - -1 - 19). Let q = v + k. Is 37 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 144, -0.26, 5\/4?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3807505 to the nearest integer?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4 + 423634*t**3 + 29911243410*t**2 + 704000994182550*t + 1407882346780500 = 0.\nAnswer: -70605, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0 + (32 - 5 - -3) and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337339 is divided by 192.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 11)*(5*r**3 - r**3 - 2*r**3) + 1 + 3*r**3 - 1 - 26*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 146.8936 kilometers?\nAnswer: 14689360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x + 133. Determine p(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55 - 0.55142. What is w rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 2*u**2 + u**2 + 1. Let w = -346 - -345. Give q(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-30)\/(-48)*-1)\/2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 38*u = 264. Suppose 5*v - 2*k = 1190, 6*v = u*v + 3*k - 1215. Calculate the remainder when v is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qij when three letters picked without replacement from {i: 4, j: 4, q: 4, m: 1, k: 1, x: 3}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 8 = -24. Is a\/(-2) - (-1)\/((-6)\/(-25638)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {m: 5, b: 2, u: 1, p: 3, i: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 (base 9) in base 6?\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.3 (c) 2\/15 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czyceyefm. Give prob of picking 1 e and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 10 - 10*k + 35 + 23*k + 62*k to the form r + c*k and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohx when three letters picked without replacement from {o: 9, b: 2, x: 1, h: 7}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 3*q**2 - 2*q - 1. Let c = 10 - 5. Let y(u) = 5*u + 5 + u**3 + 1 - 6*u**2 - 2 + 0*u. Let b be y(c). Give f(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:11 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*y + 1. Let h = 1 + y. Put -1, -4, h in ascending order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*m - 7. Let d(a) = -3*a - 2. Let l be d(-2). Suppose 0 = -3*z + l*z - 29. Calculate the remainder when z is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68734 rounded to the nearest 100?\nAnswer: -68700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103195\/16 + -6444. What is the common denominator of -41\/10 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-10) + (-24)\/20. Suppose 70*x = 80*x - 70. What are the prime factors of (-4 + x + a)*(-113)\/(-2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 7. Let d = -3.3 - x. What is the second biggest value in 0.5, 2, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6617, -26496, -59635, -106034?\nAnswer: -165693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 576, 583, 592?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-4*g**2 - 16*g**2 + 2*g**2) + 72*g**2 - 178*g**2 - 237*g**2.\nAnswer: -307*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45962863, 91925722, 137888581?\n\"Answer: 45962859*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 37288752*b + 173806378214688.\nAnswer: 2*(b + 9322188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 14*p = 2730, 6*p - 20 = 2*p. What is the greatest common factor of 2052 and x?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + t**2 - 2*t + (0*t + 3*t - 2*t)*(6*t - 4*t + 2*t) - 3*t**2 + t**2 + 4*t**2 - 1334*t + 1334*t - 244*t**2 in the form z*t**2 + a*t + b and give z.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -111001001?\nAnswer: 111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + o**4 + 3*o - 9*o**4 + 10*o**4 + 13*o**4 + (-o**3 - o**3 + 0*o**3)*(o - 4 + 4).\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 20*f**3\/3 - 155. Let y(o) = 4*o**2 - 3*o - 3. Let u(s) = -s**2 + s + 1. Let m(a) = 3*u(a) + y(a). What is m(g(q))?\nAnswer: 400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10361478073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10248088 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 2*t + 3*t - t + 3*t + 0*t + (3 - 3 - 1)*(-3*t + 0*t + t) - 9*t + 20 - 20 + (-2 + 3 - 3)*(-1 + t + 1).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a - 1035 = 668 - 261 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**7\/840 - h**6\/90 - h**5\/40 + h**3\/3 + h**2. Let s(k) be the first derivative of x(k). What are the prime factors of s(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14120 is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -157*v**2 + 8*v**2 + 196 + 25*v**2 wrt v?\nAnswer: -248*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-1584)*8*3*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 336?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3, 100, 11, 1, -8 in descending order.\nAnswer: 100, 11, 5, 1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6246551ml in litres?\nAnswer: 0.0006246551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -392 + 13719\/35. Is -1 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 5 - 18*y + 23*y + 6*y**2. Let b(s) = -9*s**2 - 6*s + 6. What is -5*b(i) - 6*q(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*u - 2*h, -3*u + 54 = 2*h + 7. Let b be (-127)\/u*(-63)\/(-14). Let f = 38 + b. What is the third biggest value in f, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*a - 8, -l + 0 + 4 = -4*a. Suppose -l*f - 1 + 17 = 0. Suppose -12 = -f*m + 48. Solve 4*i + 4*n - 3*n - 12 = 0, -5*i = -3*n - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73952784 to the power of 1\/2, to the nearest integer?\nAnswer: 8600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.2, -1.2, 0.1, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2425 + 331?\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-3)*(18 + 1 + -16). What is the biggest value in r, -4.2, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1687*j**3*v + 155*j**3 + 1509*j**2*v**3 + 46928 with respect to v.\nAnswer: 1687*j**3 + 4527*j**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154\/3 or -51?\nAnswer: -154\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10290.3 - -10291. What is the closest to p in 0.1, 1, 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*u - 2, 1532*s - 24 = 4*u + 1536*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.308 + -0.008. Is t greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g**3\/19 + 9358840*g**2\/19 - 7487048*g\/19 + 1497408\/19 = 0. What is g?\nAnswer: 2\/5, 187176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 5207708.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 59525*-0.1\nAnswer: -5952.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 128 = -28. Suppose 22 = 4*l - 142. Let z = v - l. Solve -3*p - 3 = z, -2*p - 5 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/4477 (b) 0 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (-47 - -2)) + -33?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/142 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 233\/4. Which is the biggest value? (a) d (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4 - 1. Let w(j) = -j**3 + 5*j**2 - 4*j. Let g be w(4). Let m = g - i. Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a + 1\/120*a**5 + 3*a**2 + 1\/48*a**4 + 0 + 0*a**3. What is q in m(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7 + 5)*(3 + 0 - 1)*(-z + 2*z + z)*(-4 + 4 - 2*z) to the form k*z + l*z**2 + c and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 58 = -695*h + 698*h, -4*h = -5*m + 66 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**2 - 892 + 36*d**2 + 892 + 2168*d**3.\nAnswer: 2168*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 + v + 3. Let d = -6588 + 6602. Let j(q) = q**3 + 6*q**2 - 4*q**2 + 7 + q**3 + 2*q. Calculate d*z(b) - 6*j(b).\nAnswer: 2*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2549 - -7741\/3. Which is smaller: 32 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287816662 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 613260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 2*f)*(-77*f + 72*f - 152*f).\nAnswer: -157*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 58367912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*x + 1 = 9, -4*g - x - 6 = 0. What is the common denominator of 142\/(-40) + (g - -2) and -13\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) -2\/37 (c) 0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+40793770\nAnswer: 40793769.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28384 = -3*a - 11668. Round a to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4558 and -45\/473?\nAnswer: 50138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((4 + sqrt(180))**2 - ((sqrt(5) - (sqrt(5) + sqrt(45)\/sqrt(9))) + -3)))*-4.\nAnswer: -784 - 196*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -32. Let d = 20 + k. Suppose -j = -d - 14. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106655 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 17 + 12)*(-8 + 67 - 16)*(1 - 4 + 1)*(-2*l**2 + 0*l**2 + 3*l**2).\nAnswer: -1806*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -5\/3*a**3 + 1\/4*a**4 - 6 + 6*a - 5\/2*a**2. Calculate the remainder when i(6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 432?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*(sqrt(19) + (0 + sqrt(19))*1 + sqrt(19) + sqrt(19)))**2)*-2 - ((2 + -2*sqrt(19) + 4)*-1 + -1).\nAnswer: -15189 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -4 (c) 2 (d) 0.00633\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 4. Let g be (-16)\/(-7) + (-4)\/i. Suppose 0 = z - 0*w + 2*w - 17, g*w = -2*z + 28. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 3*o - 5*o)*(-1 + 5 - 2)*((6 + 10 - 3)*(2 + 0 + 0) - 8 + 63 - 31) as j*o + p and give j.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, -1.61?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5621 and 124159?\nAnswer: 99699677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:01 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 20*f - 27. Let i be g(15). Let k = i - -45. What are the prime factors of -1*(1 + 1 - k)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooogogoooooogoogo. Give prob of picking 4 o.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 6) to base 3.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 3, 0.067?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216 - -139. Let d = 76 + j. What is the second smallest value in d, 2\/3, -4\/9, 6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 2*m**2 - m - 2. Let c be a(-2). Suppose -n - 8 - 7 = c. Let s = 15 + n. Solve s = 4*v + 23 - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let u = -22 + 20. Let x be u + (2 - -1 - 4). Determine o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2331\/2 - -1166. Is -42 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.26, 8037, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1555 and 3362221?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -m - 24, 32 = 4*y + 869*m - 873*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/20 + 23*j**4\/12 + 10*j**3\/3 - 23*j**2\/2 - 18*j. Is l(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11260*h + 45066. Calculate q(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 309 = 3*g, -4*n + 118 = 3*g - 294. Suppose 2*i - 5 = m, 6*m - 56*i + 60*i = 34. Put m, n, 2, -3 in decreasing order.\nAnswer: n, m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/6 - (-3)\/9. Suppose -j*n + 20 = m, 4*m + 2*n - 12 = 3*n. Suppose -2*y + 2*a + 14 = -0*y, -m*a - 12 = 0. Solve -l - y = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 - b**2 - 4*b**2 - 5*b**3 - 5*b**3 + 7*b - 7. Let s(j) = j**3 + j**2 - j + 1. Give -r(k) - 5*s(k).\nAnswer: 2*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1050129\/(-24)*2)\/((-51)\/(-2)). Let r = y + 3433. Find the common denominator of -63\/5 and r.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (146\/(-4))\/((-2)\/4). Suppose 57 = d - q. Let v be 286\/d - 1\/5. What is the third smallest value in -5, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/3 - 358*v**3\/3 + 1618*v**2 + 10790*v\/3 + 5576\/3 = 0. What is v?\nAnswer: -1, 17, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqlqlql. Give prob of sequence qqlq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 21*x. Let q = -0.5 - 0.5. Which is the closest to 1\/2? (a) 1\/3 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -4. Let v be 6 + a - (4 + -2). List the prime factors of 25\/2*v - 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*i**3*n**3 - i**3*n**2 - 5*i**2*n**2 - 2*i*j*n**5 + 13*i*j*n wrt n?\nAnswer: -96*i**3 - 120*i*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = 4*l, 3*o = 2*l - 14 + 41. Suppose -1960 = o*q - 16*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 10*o - 3. Let d(c) = -6*c - 2. Let w be d(-2). Let u be q(w). Let n = -1 - u. Solve 2*a + n = -2*h, 3*h - 4*a + 3 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1)\/(2*3\/(-6)). Put 4, 2, s in increasing order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.502 - 5.902. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 8*h + 7. Suppose b + 8 = -2*o - 6, 2*o = 2*b - 26. Let n be a(o). Let x = -42 + 47. Sort x, n, -3 in descending order.\nAnswer: x, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/5))\/p)**(2\/19)*p**(-2\/11)\/p*p**(-2\/3))**(-17\/4) assuming p is positive.\nAnswer: p**(100759\/12540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:03 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 383041.91094 and 0.01.\nAnswer: 383041.92094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 21 = m. Let j(c) = c**2 + 7*c + 1. Let s be j(m). Let g be s\/(-3) + (-32)\/(-6). Solve -2*n = -n - g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -29 + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 1001 + 2779. Is k a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o - 3. Let w = -68548 - -68553. Let p(k) = -5*k + 2. Let j be (2 + -1)*(-2 - -5). Determine j*n(t) + w*p(t).\nAnswer: 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 88*l - 1228. Let b be p(14). Solve b*j - 1 = 5*x, j - 7 = 7*x - 8*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205 - 3*g + 74 - 291 - 406 to p + l*g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 - t**2 - 7*t**2)*(260*t**2 + 24*t**2 - 56*t**2) + 2*t**4 + 4*t**3 - 4*t**3 in the form v*t**3 + r*t + g*t**4 + o*t**2 + z and give g.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -61 - 10 - 63 + 14*s + 74. Calculate w(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6688333ml?\nAnswer: 0.0006688333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - -5*1*sqrt(1300)) + 0 + 0 + sqrt(13) + 2)**2.\nAnswer: 244*sqrt(13) + 48377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 7*k - 3. Let f be j(-6). Let z be 7\/1 - f*-1. Suppose z*c = 6*c. Put c, -1\/2, 0.4 in descending order.\nAnswer: 0.4, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -2*a - 3*a. Suppose 3*k + 19 = 2*n, 2*n + 11 = 6*n + 3*k. Suppose -137 = -n*z - 97. What is the remainder when a is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223 divided by -6\nAnswer: -223\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-6)\/27*3. Let n = -2 - -5. Let f(m) = 2*m + 8. Let t be f(-5). Which is the third smallest value? (a) k (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 5. Let c(x) = -57*x - 2. Give y(c(m)).\nAnswer: -3249*m**2 - 228*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-2\/43)*v\/v**7*(v\/(v\/(v\/v**(-1\/26))))\/(v\/(v*v**(-5\/3)*v)) assuming v is positive.\nAnswer: v**(-12325\/3354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2)\/3))\/((174\/36)\/(-29))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9)\/((-64)\/336).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/(-27) - 2\/(-9). Sort r, 5, -4, 4.\nAnswer: -4, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -98, -194, -288, -380?\n\"Answer: l**2 - 99*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4044 + 25?\nAnswer: -4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39776353 and 626?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -56, -58, -60, -62?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290417464 divided by 1538.\nAnswer: 188828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = -54488 + 116318. Solve 0 = 8*s + 2117 - p for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8267 = -114*a - 13283 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/18 - 8*h**3\/27 + 5*h**2\/3 + 4*h + 1388. Suppose y(r) = 0. Calculate r.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -5)\/((-147)\/(-12)). Which is the second smallest value? (a) 0.4 (b) -0.4 (c) -5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 1:15 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, n: 2, q: 5}. What is prob of picking 1 n and 3 q?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5308881*k. Let g(b) = -2*b**2. Give g(z(m)).\nAnswer: -56368434944322*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:11 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 4605?\nAnswer: -4612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 77*b**2 - 71438*b - 16702. Calculate s(928).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137254604.\nAnswer: 2, 34313651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(3 + 21\/(-12)). Let m = h - -11. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.72846 to two dps.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 8*p**2 - 10. Let i be b(8). Let s(z) = z**3 + 12*z**2 + 9*z - 23. Let m be s(i). Suppose -5*x + 382 - m = 0. List the prime factors of x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 144*f**2 + 34*f + 8351. Determine p(-144).\nAnswer: 3455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a - 7. Let v(p) = p + 1. Let g(n) = u(n) + 2*v(n). Suppose 78*c - 139 - 251 = 0. Let x(r) = -11*r + 6. Give c*x(l) + 6*g(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205935813?\nAnswer: 3, 19, 23, 52361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14877010.\nAnswer: 2, 5, 163, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 9*o**2 + 16*o + 5. Let h be (-4*(-9)\/6)\/((-24)\/(-36)). What is the units digit of y(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 211\/5, 2\/3, -0.2, 0.2 in decreasing order.\nAnswer: 211\/5, 2\/3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 5158.\nAnswer: -2063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285828482.\nAnswer: 2, 43, 197, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/4182824 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3038*s - 3801*s + 1901*s.\nAnswer: -4938*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2033200 + 13051?\nAnswer: -2020105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuitudsiijsu. Give prob of sequence ii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 506.724ml?\nAnswer: 0.506724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-50)\/(-320)) - (1 - 2). Calculate the highest common factor of 66 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 6*j - 4*j)*(-2*j + 2*j - 2*j)*(3*j**2 + 5 - 5) as d*j**4 + p*j**2 + b + a*j + g*j**3 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 21 = 9. Let h = -9.9 - -7.1. Let z = h + 3.2. What is the third biggest value in 2\/7, z, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8*h = -52. Suppose 2*a = 3*j, 5*a - h = -j + 13. Is 6 a factor of (j - 6)*45\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*q + 5069 = 5*i, 5*i - 5083 = -4*q. What is the smallest common multiple of 1015 and i?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*n - 3 = 0, -5*n - 12 = -2*k - 42. Let l be k + 2 + (-168)\/(-32). Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7239496 and 8888?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300 + 151.9. Let p = y + 148. Which is the smallest value? (a) -0.3 (b) p (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 11*d. Let z be s(-5). Calculate the greatest common factor of z and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3066379846.\nAnswer: 2, 1533189923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9))**(-2)*s\/((s\/s**(-2\/11))\/s)*s**31 assuming s is positive.\nAnswer: s**(548\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274 + 132. What are the prime factors of 1\/4 - h\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auau when four letters picked without replacement from {a: 4, u: 6, i: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 12604. Let k(m) = -3*m. Determine t(k(v)).\nAnswer: -6*v - 12604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/25 of a hour?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -499*n**3 + 2*n + 11 - n**2 + 497*n**3 + 0*n as j*n**2 + u + c*n + y*n**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 9*k**2 + 5*k + 10. Let v be g(-8). Let p = v + -28. Suppose -5*l + p*l - 2 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51435*t - 117193.\nAnswer: -51435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309286?\nAnswer: 2, 154643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y + 32. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -107. Suppose 0 = -3*j - 2*j, -5*o - i*j = -89255. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 34*f**2 + 243*f + 21. Let v be x(-21). Calculate the highest common divisor of 42 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 5*n + 2. Suppose -5*k + 3*k = 40. Let o = 28 + k. Let x = o - 12. What is f(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + -7 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5326512 divided by 332907?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**7\/28 + 13*a**6\/80 + a**5\/10 - a**4\/4 + 50*a**2. Determine h, given that l(h) = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -5931650?\nAnswer: 5931645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215654555 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 38, -4 in decreasing order.\nAnswer: 38, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 6*l - 18. Suppose 20 = -2*d - 2*q, 5*d + 0*q - 3*q + 42 = 0. Calculate z(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/9)\/((-4)\/(-1590)). Let a = f - -827. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 5*s - 1 - 2*s - 3*s**2 + 3 + 6*s**2. What is m(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17810 is divided by 145.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101011 + 122?\nAnswer: 2101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + l**2 - 2*l - l**3 + 2*l**3. Let b(v) = -780*v - 119328. Let w be b(-153). Let u(k) = -12*k**3 - 6*k**2 + 6*k. Determine w*d(j) + 2*u(j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a - 48*a - 49*a - 44*a + 183*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12 + 3 - 3*q + q**2 - 2*q. Let o be w(7). Suppose 0 = -2*y - 3*l + 28, 0 = -o*y - 2*l + 39 + 20. What is the lowest common multiple of y and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 2*r - 18 = 18*d, 11*d - 134 = -15*d + 4*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + (sqrt(10) + sqrt(90) + sqrt(90)*2)\/(sqrt(45)*-5) + 2)*-1.\nAnswer: 2*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4 + 48*y**3 + 6493*y**2 + 115728*y + 205884 = 0.\nAnswer: -43, -21, -2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 1, i: 2, g: 3, d: 7}. What is prob of picking 1 g and 1 j?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 2*x**2 + 3*x + 3. Let k be l(-6). Let h be (k + 0)\/(1\/(-25)). Let b = h + 725. What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 7, w: 4}. What is prob of sequence wew?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1820552925, 1820552923, 1820552921?\nAnswer: 1820552919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 651359945 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.7, 1.3, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27489714?\nAnswer: 2, 3, 7, 17, 38501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(720) + sqrt(720) - sqrt(720))**2 + -5*(-1 + sqrt(500)).\nAnswer: -8635 - 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*c - 5*c = -14, 0 = -5*s + 3*c + 42. Let b(n) = -s*n + 3*n - n. Suppose 3*p + 9 = 27. Let h(g) = 15*g. Determine p*h(x) + 13*b(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 18. Suppose 29 = -b*a + 3*a - 4*h, -a + 2*h = -25. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - ((-7 - 3) + 6). Let g be (2\/(-4))\/(1\/(-288)). Suppose -5*d - p*d = -g. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3 + 21597*f**2 = 0. Calculate f.\nAnswer: 0, 7199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398911, -398847, -398741, -398593, -398403?\nAnswer: -398171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - sqrt(102)*4)*-6 + sqrt(102) + -1*(sqrt(102) + -3*sqrt(102)) + sqrt(102) + sqrt(102))\/(-6*(sqrt(864) - 4*sqrt(864))*-4).\nAnswer: -sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272183943 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*q**2 - 2644*q + 1315*q + 1322*q + 4*q**4 + 2*q**3 in the form i*q**2 + j + k*q + d*q**3 + a*q**4 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/671 (b) -19 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 765*v - 2020. Let b be l(4). Calculate the greatest common divisor of 2210 and b.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 14. Suppose c*q + w = -13 - 64, -q + 2*w - 26 = 0. Let h(n) = -17*n - 307. Let i be h(-16). Which is greater: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6, -7, 4, 2, 11 in descending order.\nAnswer: 11, 4, 2, -6, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 12304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 1. Let y(n) = -16 - 18 + 35 + 3*n. Give -5*v(m) - 7*y(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 9:58 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 76 = -j. What is the remainder when 75 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**3)**(-2\/53)*q\/q**(5\/4)*q*q\/q**(-4\/7))**(-32) assuming q is positive.\nAnswer: q**(-24872\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -182*f + 2840. Let p(k) = -34*k + 568. Give 3*l(v) - 16*p(v).\nAnswer: -2*v - 568","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16513 + -5 + (-204)\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 = 4*k - 10, -2*k - 3*c = -18. Suppose -d = -b + 16, 1 = 4*b - d - 51. Suppose 0*l = -k*l + b. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3328900 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 - 2*z**2 + 3*z - 2. Let u be c(1). Suppose -5*j - u*k + 1 = -11, 0 = -3*j - 4*k + 5. Solve 31 = -j*o - 4*l, -3*l - 2 = 2*o - 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:52 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p + 90. Let i be (-1521)\/(-81) + (-4)\/p. List the prime factors of -2*i*7\/(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9\/10, 1\/2, -12, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -111*v + 791. Give h(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4642 and 76054.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*d - 33 = -3*p + 146*d + 62, 4*p + 5*d = 118 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*f - 15, 0 = 4*f + i - 145 + 157 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -5*p**4\/24 + 265*p**3\/2 - 126405*p**2\/4 + 26*p - 5. Factor h(l).\nAnswer: -5*(l - 159)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2*10))\/(131\/524).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28030553*f + 56061161*f - 28030577*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2\/(6\/3). Let b be -1 + q + 124\/1. Let x(u) = -u**3 + 6*u**2 - 6*u + 3. Let v be x(4). Calculate the highest common divisor of v and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -44, 206, -3, -2\/393, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -21122002220?\nAnswer: -21122002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5100) - 1*sqrt(5100))\/(2*(sqrt(3) - 2*sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 513, 2\/15, 3 in ascending order.\nAnswer: 2\/15, 3, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -104 - 211. Is v at most as big as -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let r(v) = 15*v**2 + 7. Let b(d) = 10*d**2 + 5. Let y(k) = 7*b(k) - 5*r(k). Calculate g(y(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385476 by -18356.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*y + 34, -23*y - 16 = 4*x - 19*y. Let k be (4\/6 - 0)*-3. Sort k, -1, x, 5 in descending order.\nAnswer: 5, -1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*z - 79*z - 5*u - 29 = 0, -4*u = -5*z + 43. Solve -v + z = -2*h, 5*v + h = 3*h + 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v - 2. Let o(l) be the third derivative of -1\/12*l**4 + 0*l + 1\/60*l**6 - l**v + 0 + 1\/60*l**5 - 1\/6*l**3. Factor o(y).\nAnswer: (y - 1)*(y + 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47120 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22087 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 492610 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2. Let t(z) be the first derivative of -13*z**3\/3 - 2*z**2 + 4*z + 6. Let g(k) = -k**2 - k + 1. Let y(n) = 4*g(n) - t(n). What is y(w(m))?\nAnswer: 81*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 4. Suppose -5*p = -m + 3 - 15, -p + 6 = m. Suppose m*w + 21 = 3. What is a(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(((-6)\/(-2))\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 11 - 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-2 - 10\/(-4))\/(-1). Suppose -m*r + 433 + 74 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**4 + 161324627*g**3 - 195366*g**2 + 9*g wrt g?\nAnswer: -72*g + 967947762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*2)\/(1561\/(-669)*(-18)\/28).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167247213 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 100, 168, 286, 472?\n\"Answer: 3*c**3 - 2*c**2 + 21*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:26 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 31*b**2 + 31*b + 62. What are the prime factors of i(-32)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10268 - ((-10)\/(7 - -3) - -8). What is the greatest common divisor of y and 662?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104267 and 948055.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:11 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1032 + 1037. Which is the third smallest value? (a) r (b) -63 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 33. Suppose -1 = -3*d + 2*g + i, 1 = -d - 2*g. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 536515 - 536157 + 1072672.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3125 and 79250.\nAnswer: 1981250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00828264 rounded to 5 decimal places?\nAnswer: -0.00828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -295840180 rounded to the nearest 100000?\nAnswer: -295800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.001+655717311\nAnswer: 655717310.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 25 - 9*z + z**3 + 2*z - 31. Determine n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5874503.\nAnswer: 17, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 14*o + 6. Let j be 43\/((-9890)\/368) + (-63)\/(-5). What is d(j)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 5*p**4\/24 + p**3\/2 + 129*p**2\/2 + 145*p. Let h(t) be the first derivative of n(t). What is h(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-14\/9))\/(y\/y**(-8\/7)))\/(y**9\/(y\/y**(-19))) assuming y is positive.\nAnswer: y**(782\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1161 + -0.1779. What is c rounded to three decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/(-4))\/((-42)\/9 + 4). Let o(z) = -8*z + 36. List the prime factors of o(k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 30*n + 4. Let c be x(-15). What is the third derivative of -11 + 6 + 56*g**2 - 58*g**5 + 10*g**4 - 10*g**c + 3 wrt g?\nAnswer: -3480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**2)**(-17\/2)\/((a\/a**(2\/7))\/a*a*a**(-2)))**(-42))**(1\/65) assuming a is positive.\nAnswer: a**(1017\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2.5, -25692, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 22*g - 234. Calculate the lowest common multiple of 21 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 2) + -3 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 443000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2040 and 264928.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 4*w**2 - 1\/20*w**5 - 1\/2*w**4 + 0 - 2*w + 1\/2*w**3. Is l(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*f**4 - 7*f + 73*f**4 - 2*f - 149*f**4 + f**3 - 6*f**2 to the form u*f**4 + g*f**3 + v*f**2 + x + a*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.4 and -17468.5.\nAnswer: 181672.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*140\/98.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a factor of 34756890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 37. Let x be (-4)\/(-10) + t\/(-5). Suppose 0*f - 2*f = -14. Calculate the greatest common factor of x and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*c + 74, 3*c = -2*u - 0*u + 71. Let h = c - 11. Let x = 27 - h. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.049 * -124005.\nAnswer: 6076.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27\/19? (a) 1\/3 (b) -2 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47 - 5\/(20\/8). Suppose 4*a = 427 + i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.57836.\nAnswer: 5.7836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0782833 rounded to 3 decimal places?\nAnswer: -1.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3073516 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 132. Let x(r) = -r - 6. Let k be x(-18). Let c = 10 + k. What is the remainder when n is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -11 + 91. Let n = g + 19. Let w(b) = 4*b**3 + b**2 - 2*b + 1. Let j be w(n). What is the highest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(1\/5)*p)\/p*p\/p**(-4\/3))\/(p**(-3\/5))**(-12\/11))**50)**(9\/14) assuming p is positive.\nAnswer: p**(4650\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*(y\/y**(-8))\/y*y))**(-5))**(-3\/7) assuming y is positive.\nAnswer: y**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/7000 and 1\/187800.\nAnswer: 6573000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, u: 8}. What is prob of sequence uu?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 3*h**2 - 6*h + 5. Is x(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.4, 1\/4, -1\/63, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051626 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: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z, 3*z - 69 = -3*v + 7*z. Let w be 7\/1 + -123 + 114. Is v less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1 + (-148 - (31 - 126))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1092 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 17 = 4*k + 66 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 412?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 22*h = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 49*m + 4560. Let z be x(-123). Sort z, -3, 5 in ascending order.\nAnswer: z, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/70 + 1\/10. Sort q, 0.4, 2 in descending order.\nAnswer: 2, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000025375 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142140 + -204304?\nAnswer: -12114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 - 4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/(-81)*9\/(-42). What is the closest to 1 in g, -1.7, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 8 - (-7 - (-16 + 15))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 180 = -2*j - 176, 0 = -j - 31*h + 62 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 42 = -4*f, -6*f + 7*f - v + 8 = 10*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*a + 5808 = 93*a + 1474. Let r(v) = 6*v**2 + 4*v. What is the least common multiple of r(7) and a?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 4518 - 183232 = 1802. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z*z\/((z*(z\/(z**(5\/6)\/z))\/z*z)\/z))\/z)*z**1)\/(z**(-2\/15)*z*z\/z**(-5)))**(-2\/23) assuming z is positive.\nAnswer: z**(57\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**2 + 5*d**2 - d**2)*(1 + 2 - 4)*(27 + 7*d**2 - 27) to v*d + z*d**2 + l*d**4 + t*d**3 + o and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**3 - 7*n**2 + 2*n + 7. Let t(u) = -4*u**3 + 5*u**2 - u - 5. Let c(v) = 5*h(v) + 7*t(v). What is the second derivative of c(y) wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) -12 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21228 divided by -6.\nAnswer: 3538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let a(p) = -p + 1. Let q(i) = -6*i + 8. Let u = 0 + -8. Calculate u*a(y) + w*q(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/18)\/((-2)\/204). Let g = -35 - a. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -28, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5954 is divided by 429?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -78195623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1024 + 1031. What is the lowest common multiple of 168 and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162522 is divided by 30453?\nAnswer: 10257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46627 + -46275. Calculate the lowest common multiple of b and 448.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1525, -1532, -1559, -1618, -1721, -1880, -2107, -2414?\n\"Answer: -2*q**3 + 2*q**2 + q - 1526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:16 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 45268 = 7495. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 320 + -316. Solve -z = -8*c + 7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18 (b) 10 (c) 2 (d) -0.9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let u be i(-4). Suppose 0 = o + 2 - u. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 120*(-5)\/30*-15. What is the greatest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(-28)\/(k**0)**4)\/(k**(-4)*k*k**6)**(-26) assuming k is positive.\nAnswer: k**(178\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Simplify (4*(sqrt(152)*4 - sqrt(152)) + (sqrt(152) - -1*sqrt(152))*-1)\/(sqrt(72)*2 + sqrt(128)*-1).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.367 at least as big as 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose n*j - 22 = -7. Differentiate j*i - 1 - 3*i + 2 with respect to i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 17694943?\nAnswer: -17694941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1646691548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340 + 899. List the prime factors of v.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101431291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, q: 3}. Give prob of sequence ddd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.026 and -766288.\nAnswer: 19923.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, r: 10, j: 3, h: 5}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 15*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r**4\/2 - 255*r**3 - 72*r**2 = 0. Calculate r.\nAnswer: -24, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:40 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162241426?\nAnswer: 2, 81120713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -51*v**2 + 10*v - 10. Calculate r(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571 - -11421\/20. Let v(a) be the third derivative of 1\/4*a**4 + 7*a**2 + 0 - 1\/30*a**5 - 1\/105*a**7 - o*a**6 + 0*a + 2\/3*a**3. Factor v(h).\nAnswer: -2*(h - 1)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/756 and -19\/378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**2\/7 + 10704896*m\/7 - 7162174898176\/7 = 0.\nAnswer: 1338112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140208969?\nAnswer: 3, 4637, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.26 + -42.259904. Let f = 2 - i. What is f rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4090, -8282, -12476, -16672, -20870, -25070, -29272?\nAnswer: -33476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 3. Let l = -20 - -39. Suppose -2*o + 20 = 3*n - 8*n, 0 = 4*n - o + l. Determine k(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -155*g. Suppose 2*z - 400 = m, -606 = 4*z - 7*z + 3*m. Let v(b) = 65*b - z*b + 65*b + 66*b. What is v(n(x))?\nAnswer: 310*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*c = n - 8, -4*c = -5*n - 3. Let f = 2 + n. Solve -s - 5*m = 2*s, 0 = -f*s + m - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*o**2 + 662*o**5 - 14*o**2 - 770*o**5 + 5*o**4 wrt o.\nAnswer: -6480*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 714*b + 7440.\nAnswer: -3*(b - 248)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 5, 20, -3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((114\/(-36))\/(-19))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8572072 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * 36\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szwwgyyzyssgwawg. Give prob of picking 1 a, 1 s, and 1 z.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose 29*s - 33*s + 40 = p. Calculate the highest common factor of s and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -169, -1713, -5961, -14269, -27993, -48489, -77113, -115221?\n\"Answer: -226*x**3 + 4*x**2 + 26*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12*a + 15 = 0. Solve 7 = -2*f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 4\/7)\/(-14). Sort -1, -2, t in descending order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {k: 1, a: 2, u: 3, f: 5, q: 1, o: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1052*n = 1049*n - 35*z - 85, 3*z + 12 - 1 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171) - sqrt(171))*1)\/(sqrt(63)\/(-2*sqrt(7) + sqrt(7))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 + q - 2. Let t(p) = -2*p - 2. Let a be t(-3). Let k be o(a). Solve 0 = -k*l - 2 + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 8*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 7*k**2 + k - 5. Let l be z(7). Solve l*q - 4 + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -111237\/151 and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.7 and -686.\nAnswer: 3224.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -41*z**3 + 150*z**2 - 2*z - 6. Let s(t) = -98*t + 120. Let j(b) = 12*s(b) - 5*u(b). Differentiate j(k) wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**4\/4 - 5*m**3\/6 - 12*m**2. Let g(f) = 3*f + 2. Calculate -7*g(i) - 3*z(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:17 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2468 = -8*w - 17*w - 618 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4800\/45600)\/((-354)\/57).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 18361*n**2. Let o(p) = 2*p. Determine o(b(l)).\nAnswer: 36722*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150784796?\nAnswer: 2, 443, 85093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -250\/7?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 6*c**2 - 4*c - 6. Let g be u(-6). Let o = -18 + g. Suppose -5*f + 2*f + 489 = o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*b + 4*m, -b + 58*m - 16 = 53*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 8145?\nAnswer: 8147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20*f - 6. Let q(w) = 399*w + 119. Let d be 2\/(-6) - (-1074)\/9*1. Let k(a) = d*z(a) + 6*q(a). Let t(m) = -2*m**2. Give t(k(v)).\nAnswer: -392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 495\/25 + (-4)\/(-20). Let p be (-935)\/11*(-4)\/c. Solve 5*k = 3 + p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00125172327 rounded to five decimal places?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/12 + 21*n**2. Let q = 6 - 3. Let y(v) = 3*v. Let f(s) = -2*s. Let l(b) = q*y(b) + 4*f(b). Determine d(l(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1442.1 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17115\/(-504) + 11 - (-69)\/3?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 0.84?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 3*z + 5. Suppose -3*k = 5*m - 5, 0*k - 27 = m - 5*k. Let f be w(m). Suppose -b - 5*x - 5 = 0, 3*b + b = x + 1. Solve f = d - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/22, -0.1, 2\/29, 20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -24?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.2 (b) -2 (c) 1\/11 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.3, -2, 1, -324, -96?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -23. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 - f**3 - f**3 + (-4*f + 2*f + 4*f)*(5 - 5 + 2*f**2) + 4*f**3 - 4*f**3 + f**3 - 352*f**3 - 4*f + 269*f**3 + 4*f.\nAnswer: -76*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + 1*-2*sqrt(95) + sqrt(95))\/sqrt(5).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -0.5. Let s = -2 + p. Let r = -0.528 + s. What is r rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20115 + -618?\nAnswer: -20731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/301 - 24373\/602. Calculate the common denominator of 95\/156 and u.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321636 less than or equal to 5321635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36441611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*f = 235, -2*n - 5*f + 158 = -4*f. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.43 * 85.\nAnswer: -121.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69618, 139293, 208978, 278679, 348402, 418153?\nAnswer: 487938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/120 + 3*n**5\/20 + 5*n**4\/24 - 7*n**3\/6 + 7739*n**2. Let d(v) = -v**3 + 4*v**2 + 2*v - 3. Calculate -9*d(a) + 4*g(a).\nAnswer: 5*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -9*g + 7*g - 217644. Calculate the remainder when g is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(57)\/(-2*sqrt(300)))**2 + (0 + sqrt(1539) + -5)**2*-4)*-5.\nAnswer: -3601*sqrt(19)\/2 + 2501981\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*f = -2*j, -4*j = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.065 + -0.065. Are -14 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**2*h**2 + c**2*h*m**2 - c**2*h + 13*c*h**3*m**2 + 172*c*h*m**2 + 9*c + 9*h**3*m - 2*m**2 wrt h.\nAnswer: 14*c**2 + 78*c*h*m**2 + 54*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 6. Let l(g) = 3*g - 20. Let a(i) = i - 7. Let h(v) = -11*a(v) + 4*l(v). Calculate 2*f(j) - 5*h(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*o**5 - 2*g**2 - 412*g*o**5 - 2*o + 45 wrt o.\nAnswer: -20*g**2*o**3 - 8240*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1114642546 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266c (base 16) to base 14.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*k**3 + 2*k**3 - 6*k**2 + 2 + 25*k**3 as v + b*k + i*k**2 + l*k**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 12\/8)*-16. Let l = o + -9. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, g: 4}. Give prob of sequence eggg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let j(s) = -14*s + 1. Give -j(n) + 4*l(n).\nAnswer: 10*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/20 - -6)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 340*p + 14845. What is j(-39)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*q - 37*q**3 + 123*q - 407*q.\nAnswer: -37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 336899\nAnswer: -33689.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4459*q. Let t(x) = -x**2. Calculate t(f(y)).\nAnswer: -19882681*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3331 - -20322.\nAnswer: 16991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2 - 7*m - 5. Let u be (28\/12 - 1)\/(10\/60). Let l(d) be the first derivative of -u - 2*d - 3\/2*d**2. What is 5*l(r) - 2*n(r)?\nAnswer: 2*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-156)\/195*(-5)\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*u**2 + l**2*u - l**2 + 63583*l*u**4 + 14*l*u + 14018*u - 1 wrt u?\nAnswer: -6*l**2 + 762996*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + 132511762309.\nAnswer: 132511762291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**11)\/h)\/h)\/(h\/(h**(-8)*h)))\/(h*h**(-1\/5)\/h*(h\/h**8)\/h) assuming h is positive.\nAnswer: h**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1967?\nAnswer: 1\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:35 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 136.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.74 - 37.74. Let m = 36.71 + v. What is m rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 12:02 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = 12*v + 32 - 2. Sort -3, -1080, v.\nAnswer: -1080, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38709 at most as big as 38708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 63*c. Let h(p) = p**2 + 15*p - 79. Let n be h(5). Let d(z) = -n*z + 64*z - 20*z - 22*z. Calculate d(g(l)).\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15629*k - 22558*k + 108373*k.\nAnswer: 101444*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpna when four letters picked without replacement from nppngattppggnpgp.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 4*s + 10966378224 - 10966378224 + 27*s**2.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1816829618 to the nearest integer?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31046.599935816 + -1296139.510068284. Let y = -1327186 - a. Let h = y + -0.11. Round h to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6347 + -1414. List the prime factors of o.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iror when four letters picked without replacement from {i: 3, n: 10, o: 2, r: 3}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39494303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -27 (b) 10 (c) -0.11 (d) 0.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from wwwkwwwwwwww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*f = -24, -75 = 12*b - 5*f - 147 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxlxxxxplpxx. What is prob of picking 2 p and 1 x?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2074150 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 + 0 = -u, 0 = -3*u + 4*t + 40. Let l be (u\/(-21))\/((-1)\/7). Let c = 208 - 206. Solve c*f + 38 = 3*v + 13, -4*f = -l*v + 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 792*s + 1. Let r(c) = -808*c - 2. What is 3*q(k) + 2*r(k)?\nAnswer: 760*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:01 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l**2 + 13*l - 46. Let m be u(4). Let t be ((-286)\/(-8))\/((-3)\/(-12)). Let a = m + t. Calculate the greatest common factor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + h + 3 - 2*h. Let z be v(-9). Suppose c - z = -w, -100 = -5*c - 4*w - 0*w. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Let v(j) = j + 11. Let d be v(-8). Suppose -d*m - 2*m + 2*q + 643 = 0, -3*m + p*q = -393. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -9. Let p = -98.4 - -92. Let i = p + 6.9. Which is the biggest value? (a) d (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180240 + -180241.25689. What is i rounded to two dps?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780*-405362.\nAnswer: 316182360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 + 9*s - 9. Let p = -8 - -14. Let r be t(p). Let l be (564000\/r)\/((-2)\/150). What is l rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1126312 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1332*u**3*v**2 + 86*u**3*v + 4705*u**2*v + 129*u*v**2 wrt u?\nAnswer: -7992*v**2 + 516*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -614 + 617. Suppose 6 = 2*p, -1589 = -z*g + p - 194. Does 86 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1616*l - 2469*l - 1051*l + 1307*l.\nAnswer: -3829*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 22494434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1478*u**4 + 9*u**2 - 268*u**2 + 1673*u**4 wrt u?\nAnswer: 4680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b**3*s**2 + 193*b**3*s - 3*b**2*s**2 - 1152*b**2*s - 2*s**2 wrt b.\nAnswer: -72*s**2 + 1158*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/5 (b) 4 (c) -0.4 (d) 8324318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -62, 183, 650, 1411, 2538, 4103?\nAnswer: 6178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1145*d**2 + 4*d + 1128*d**2 - 4*d.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90.9999842 + 91. Round f to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12760 and 5268890.\nAnswer: 611191240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 18*g**4 + 241*g**3 - 1162*g**2 + 1529*g - 626 = 0?\nAnswer: -313\/18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from uamllmuaqammmllmqm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4253 times -18.16\nAnswer: -7.723448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 35 + -20 + 13 + 1 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 66597?\nAnswer: 665970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1105 divided by -65\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1311, -2593, -3863, -5115, -6343, -7541?\nAnswer: -8703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 27*v - 4. Suppose r - 4 + 1 = 0. Is g(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2. Let y(w) = -16*w. What is y(z(s))?\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2895, 2878, 2807, 2658, 2407, 2030?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(12\/(-16)))\/((-14)\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 3*y**2 + 2*y - 14. Let x(h) = h**3 + 2*h**2 - h + 9. Let f(a) = -8*x(a) - 5*z(a). Let l be f(-2). Is 16 a factor of (-4)\/(-5)*54*(-60)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 0 - 48\/(-80). Sort -0.1, h, 1\/5 in ascending order.\nAnswer: h, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*w - 135*w - 143*w)*(9*w**2 + 8*w**2 - 24*w**2) as t*w**2 + r*w**3 + c*w + m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + j)*(10*j - 4*j + 22*j) + 5*j**2 - 17*j**2 + 5*j**2.\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 19*x**2 + 253*x**3 - 252*x**3 + 146*x - 3.\nAnswer: x**3 - 13*x**2 + 146*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100821 + 100831. Let d be -1 - (2 + -1*6). Calculate the remainder when b is divided by 50\/6 + (-1)\/d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*u = 244 - 255, 5*u - 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 - 6) - (-9 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6443 + 0.19462\nAnswer: -6442.80538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, -1\/7, 3\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*j**3 + j**4 - 2265 + 2265)*(20 + 27 + 14).\nAnswer: 61*j**4 + 4514*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25699612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 o, and 2 a when four letters picked without replacement from agggogooa?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**48)**42*((j\/j**1)\/(j*j*j**(3\/11)*j*j))**(-31) assuming j is positive.\nAnswer: j**(45809\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 796900831?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727308989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 26530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45746447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 3 + 49 - 21 + 62 + 31.\nAnswer: -3*s + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.48 - -6.58. Which is smaller: -0.025 or s?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaahhhhahahaagg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 3\/2, -17\/3 in descending order.\nAnswer: 1.6, 3\/2, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 842551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*k - 304*k - 56 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 26*m - 312 = 0. Let j = -48 + 73. Suppose h + j = m. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5 - 6909*p**4 - 1396089*p**3 - 9510663*p**2 - 14860680*p - 6739200 = 0.\nAnswer: -2080, -216, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j - 25. Determine y(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34 less than 5951573?\nAnswer: 5951574.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(s**(-1\/2)\/s)))\/s)\/s*s*s)**12)**(-1\/95) assuming s is positive.\nAnswer: s**(18\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195272 = 3922*f - 145942 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40110 - -17?\nAnswer: 40127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4033 + 9127. Let i = -2829 + w. Suppose 4*u = f + 169 - 4644, 5*f = -2*u - i. Round u to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (153*-1 - -3) + 0. Let n = -99 - t. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 3, -8, -19, -30?\n\"Answer: -11*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/40*6\/(-81)*2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 567, 1130, 1679, 2208, 2711, 3182?\n\"Answer: -y**3 - y**2 + 573*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223180.\nAnswer: 2, 5, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwf when four letters picked without replacement from {w: 4, f: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y**(-2\/7)))\/y)**(-36)*y*y\/(y**(-1)\/y)*y**(-6))**1)**(26\/3) assuming y is positive.\nAnswer: y**(4316\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -33. Suppose 5*f + u = -100. Let z = 101\/4 + f. What is the nearest to -2 in 0, z, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9600 and 8800.\nAnswer: 105600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 - 175.99999935. What is d rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000546224 to 6 decimal places.\nAnswer: -0.000546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1586 and 6499001?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*t + 4. Suppose 0*d + t*d = 0. Calculate the remainder when (-40)\/3*(-6 + d) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 10*y. Suppose 9 = -g - 1. Let f be m(g). Solve -3*k - 3*l + 18 = f, 5*k - 15 = l - 3*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from {s: 2, v: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100*22.\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 5*g + 78 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = -2*c. Let w(m) = m**3 + 5*m**2 - 6*m + 4. Let q be w(c). What is the third derivative of 4*s**4 + 2*s**q + 2*s**2 - 4*s**4 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 903\/2 - 451. What is the nearest to -1 in 5, -47, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d. Let n(u) = -37*u. Give n(v(l)).\nAnswer: 148*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 3 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222122000 (base 3) to base 4.\nAnswer: 10233111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 988 - 968. Let h be (-868)\/l - (-5)\/(175\/14). Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from aaaaauu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1\/17 in increasing order.\nAnswer: -4, -1\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10781904*l**2 + 12627037 wrt l?\nAnswer: 21563808*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c - 26*c + 62*c = -31*c + 6336 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l**2 + 3*l - 5*l**2 - 6*l**2 + l - 8. Calculate o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10904898*w**2 - 1465616*w - 1?\nAnswer: -21809796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2323301 (base 4) to base 11\nAnswer: 9035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - w = -21, 6 = 2*w - 4. Suppose 10*j = i*j - 1086. What are the prime factors of j?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Suppose 2*g - 35 = m, -5*g = -b*g + 3*m - 115. What is the greatest common divisor of 220 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246803995+18\nAnswer: 246804013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1800 or 1798?\nAnswer: 1798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23597 divided by 7\nAnswer: -3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31\/2 - -16. Let m(g) be the third derivative of 0 - 1\/30*g**5 + 0*g + j*g**3 + 3*g**2 + 0*g**4. Differentiate m(i) with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -40?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 4:41 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 7*y**2 + 16*y**2 + 4 - 1 + 11*y**2.\nAnswer: 20*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4916 divided by -4\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c - 11. Let q be m(2). Put 10, 0, q in descending order.\nAnswer: 10, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n + 225 = 121 - 200 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 41048944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/2493 + 15763078\/17451. Let a = m + -907. Let w = -429 - -4283\/10. What is the common denominator of w and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let o(q) = 2. Let z(r) = -69*r - 8. Let p(a) = -3*o(a) - z(a). Calculate m(p(j)).\nAnswer: 9522*j**2 + 552*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 2805*z. Let b(w) = 20*w + 118. Calculate b(y(o)).\nAnswer: -20*o**2 + 56100*o + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let o(b) = 164*b + 1. Let h(d) = 328*d + 3. Let l(i) = -2*h(i) + 5*o(i). Give v(l(u)).\nAnswer: -328*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4548\/(-3032))\/(3\/16) + -2*53\/(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 - 12*w - 11. Let h be f(-8). Let x = -28 + h. Let n(o) = -o**3 - 8*o**2 - 7*o - 6. What is n(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117236 is divided by 4983.\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*k - 16, -4*k + 26 = 3*n - 0*n. Suppose 2*w - 3*c = n, 5*w - 27 + 12 = 2*c. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25*r**2 - 12*r. Let b(x) = 252*x**2 + 126*x. Let y(t) = 2*b(t) + 21*l(t). Let v(d) = 19*d**2 + 8*d. What is v(y(a))?\nAnswer: 8379*a**4 - 168*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d - 14. Let o(k) = -k**3 - 8*k**2 - 8*k - 16. Let s be (-60)\/6 - (1 + -4). Let h be o(s). What are the prime factors of i(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x - x + x)*(-6*x + 2*x + x)*(-4*x - 3*x + 4*x) as o + n*x**3 + i*x**2 + l*x and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 72 = 5*y - 117, t - 43 = 5*y. What is the third derivative of -z**3 - 7*z**4 - 19*z**2 + 11*z**4 + z + t*z**2 wrt z?\nAnswer: 96*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {h: 3, i: 2, j: 2, z: 8}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-5)\/15 - 11\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(896))\/(sqrt(128) + (sqrt(128) - sqrt(128)*1)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 869*(5 - (-16)\/(6 + -10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15681, 15682, 15683, 15684, 15685?\nAnswer: 15686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 129*a + 67 = 19*v - 132*a + 266*a, -12 = -3*v - 6*a for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 j when four letters picked without replacement from {e: 5, m: 2, p: 4, j: 5, n: 3}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*j*n**4 - 2*j*n**3*q - 2*j*n - n*q - 34*n wrt n.\nAnswer: 144*j*n**2 - 12*j*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 28. Suppose 44*a + 108 = 50*a. Calculate the remainder when 2\/k - 710\/(-14) is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.398173g to kilograms.\nAnswer: 0.004398173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-4)\/2) + -3. Solve -q*f - 10 = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogg. What is prob of sequence ogoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 956. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - a = 26, 4*o - 5 + 31 = 3*a. What is the least common multiple of 3 and (-46)\/o - 6\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 1456.72.\nAnswer: -1456.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.11 + -74.89. What is the biggest value in t, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*x + 5*b + 600 - 340, 3*b - 53 = 4*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 94*n - 3*t - 35 = 30 + 6 + 16, 4*n - 2 = 6*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 - 7. Let c = g - -305. Suppose -h = 646 - c. What is h rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i + 54 = 23*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r + 4. Let z(u) = 0 - 2 - 1 - 5*u. Calculate -6*o(t) - 7*z(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644 is divided by 178?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-290)\/20909*(-14 - 0\/(-3)). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.929 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 912 and 2335632?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 743015104?\nAnswer: -743015110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 753 and 1884508.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 2717 + 405 = 5*p, -5*v - 40136*p - 546 = -40133*p for v.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7151890*b**3*p**4 + 36025*b**3*p**2 - 38*b**3 - 2*b*p**3 + p**4 wrt p?\nAnswer: 171645360*b**3*p - 12*b + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 1. Let k be s(2). Suppose 4*n + 12 = 0, -31 = -5*h - 3*n - 0*n. Suppose 5*q + 12 = h*q. Which is the biggest value? (a) 5\/2 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 185264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w. Let k(s) = 17*s - 1. Let n(i) = -k(i) - 3*u(i). Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -18*x**4 - 8*x**3 - 8*x**2 + 10*x + 8. Let f(y) = y**4 + y**3 + y**2 - y - 1. Let p(k) = a(k) + 8*f(k). Find the second derivative of p(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 18619*a - 55870. Determine z(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 36*m**2 + 1. Let q(h) = 3*h**2. Give -a(w) + 4*q(w).\nAnswer: -24*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1974 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 1, u: 1, k: 2}. What is prob of picking 2 k and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:27 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570*p + 640*p - 448910 = 0. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11357907.\nAnswer: 3, 11, 67, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2859?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1196, 2103, 3010?\n\"Answer: 907*r + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -1 - (-35)\/21. Which is the closest to -1? (a) f (b) -1\/2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 21 = -a. Suppose -445 = -4*d - a*c + 2*c, 3*d + 2*c - 335 = 0. What is the greatest common divisor of d and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -80 (b) 27.85 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10583498*q**2 - 175127298 wrt q?\nAnswer: -21166996*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 1668*s**2\/5 + 148104*s - 13571440.\nAnswer: -2*(s - 170)**2*(s + 1174)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83\/12 - -25\/12. Let m be 3\/(-7)*1982\/3. Let p = 3861\/14 + m. What is the common denominator of r and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7000 = -6992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0249133061451 - 3\nAnswer: -2.9750866938549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841 less than -13647554866?\nAnswer: -13647558707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6*i = 33. List the prime factors of 2 + i + (-3 - -158)*2.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5443*w**2 - 2718*w**2 - 941*w - 2727*w**2 as c + y*w**2 + k*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26628, 39398, 52168, 64938?\nAnswer: 77708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 847 divided by -30\nAnswer: -847\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/5118574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 2*o - o + 0*o**3)*(7*o - 5*o + o).\nAnswer: -3*o**4 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 7*l + 21. Determine k(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 72 - 239)*(6 - 3*u - 6 - 17*u).\nAnswer: 2020*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y = -36*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3623 - -3762?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*b - 461*b - 70 = 0. Solve -116*p + 123*p = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99456988 to the nearest integer?\nAnswer: 9973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28946.55756 + -28946. Round j to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278279 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16810, -34761, -53836, -74029, -95334?\nAnswer: -117745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 22*b - 2. Give h(9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2222 and 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(76)\/sqrt(4) + 2 + (sqrt(152) - -1*sqrt(152))\/sqrt(8) + sqrt(57)\/(2*sqrt(3)*5))*-6)**2.\nAnswer: 2232*sqrt(19)\/5 + 167881\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let o(q) be the third derivative of 0 + 0*q - 1\/6*q**3 - 5\/24*q**4 + q**2. Give -6*i(d) - o(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16673244 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -798, -1617, -2362, -2943, -3270?\n\"Answer: 15*v**3 - 53*v**2 - 765*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*j - 2*t, -3 = -3*j - 3*t - 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6883 by -361.\nAnswer: 6883\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 5*n**2 + 8*n + 2. Let q(k) = k**3 - k + 3. Let b be q(0). Suppose -12 = -5*c + b*c. List the prime factors of p(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -15*k + 66. Let g(j) = -j**2 - 12*j - 13. Let t be g(k). Let u be (t*88)\/((-2)\/(10\/5)). What is the highest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/9, -178, 2?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 75 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22101 + 1?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/60 - 7*g**3\/6 - 20*g**2. Determine a(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.2 + 20.7. Let o = 2.1 - 2. Which is the nearest to o? (a) -1 (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 407*r**2 + 944*r - 51529. Calculate d(409).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z - z)*(3 + 28 - 59)*(-6*z**2 + 19*z**2 + 6*z**2 - 5*z + 5*z + z**2 + (-10 - 8*z + 10)*(0 + 0 - z)).\nAnswer: -784*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 + 2*k**3 + 6*k**2 - 7*k - 4 - k**3. What is the remainder when z(-5) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 - 97. Let b(l) = l**2 - 3*l + 2. Let g be b(2). Suppose 2*q - 5 - 1 = g, -4*f = -3*q - s. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 1.1. Let u = 0.1 - 0.1. What is the nearest to u in k, 1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000122168 rounded to six decimal places?\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 130541 + 2*m**2 - 2*m**3 - 2*m**2 + 130837 as s*m + o*m**3 + f + l*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9254171 take away 20?\nAnswer: -9254191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*v = 19, 3*x + 5*v = -6 - 3. Let u(s) = 2*s**2 - 88*s + 93. Let p(f) = 18*f + 151. Let n be p(-6). Let c be u(n). Solve x = h + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26*81\/90 - -24) + (-106)\/10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 17}. What is prob of sequence dcd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.977. Let i = -0.223 - p. Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(76) + (sqrt(76)*-3 - sqrt(76)) + sqrt(76))**2 + ((sqrt(19) + 3*sqrt(19) - sqrt(19))**2 + sqrt(19) - sqrt(19))*-2 + -3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1567*d - 57. What is the thousands digit of t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/97 - 1163\/13580. Let y(m) be the third derivative of 0 + 25\/14*m**3 + t*m**5 + 0*m + 5\/28*m**4 - 15*m**2. Factor y(i).\nAnswer: 3*(i + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(156)*-5 + sqrt(156) - sqrt(156)*-1*-6)\/(sqrt(300) + 2*sqrt(300) - -1*sqrt(12)*3).\nAnswer: -1 + 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(1 + sqrt(84)\/sqrt(3)*-5 + -5*(-2 + sqrt(847)) + 3).\nAnswer: -1950*sqrt(7) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 + 13 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + 4 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*y + 3*d, 5*y - d - 9 = 9. Let c(b) = -54*b**3 - b**2. Let r be c(1). Let z be (-11)\/r + (-6)\/5. Sort -6, y, -4, z.\nAnswer: -6, -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = -2*d, -3*f = 5*d - 4. Let i(b) = -2*b**2 + 14*b + 11. Let a be i(f). What is the tens digit of 15 + -5 + a + 195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9362.23 + 9326. Round o to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + -6. Let j = a + 106. What is the greatest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -4100?\nAnswer: -4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3116 = 5*v, -5*j = -0*v - 2*v + 1229. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 852 and 28453392?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(6\/4 + -1). Suppose -5*b - 5 = 5*s, 0 = -3*s - 2*s + g*b + 2. Let h be (0\/(-1) - 1)*(4 - 6). Sort 3, 5, s, h in increasing order.\nAnswer: s, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249*l**2 - 31*l**2 - 33*l**2 - 29*l**2 + 1343*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2527 and 1805.\nAnswer: 12635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1980 = 16*k - 836. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355.838712 less than -0.76?\nAnswer: 355.078712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 296614*j + 4. Let m(z) = z**2. Determine v(m(t)).\nAnswer: 296614*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*m - 149 - 31 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 2*f**2 + 3*f + 2. Let c = 3 - 0. Suppose 4 = i + 4*h - c, 2*i + 4*h - 18 = 0. What is the lowest common multiple of z(-3) and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9627, -19168, -28707, -38244?\n\"Answer: x**2 - 9544*x - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2147513856 rounded to five decimal places?\nAnswer: 0.21475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 56. Let t = n - 49. Suppose -3*q + t = -0*y - y, 5*q - 36 = -4*y. Let d(h) = -h**2 + 6*h - 4. Give d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*p + 94*p + 3 + 50*p as j + k*p and give k.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25234 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 12 + 1 + -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15184 and 4157296?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -713*c**6 - c**4 + 2*c**2 + 420?\nAnswer: -85560*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*sqrt(88)*-2 + sqrt(88) - sqrt(88) - -1*sqrt(88)*5))\/(sqrt(56)\/sqrt(7)*5 - -5*sqrt(32)).\nAnswer: -14*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -54*f + 118. List the prime factors of t(-21).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - -13. Suppose -3*s = 2*r - 97, 0*s + 2*r = 2*s - u. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11444*f - 114434. Calculate w(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 10. Let l(a) = 2*a - 11. Let n(v) = 5*j(v) - 4*l(v). Suppose -r + 3*d = 9 - 0, -27 = -5*r - 3*d. Let p be n(r). Solve 3*b = 8*b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -206, -308, -410, -512, -614?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ytyyntyyykyyyyky.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 4*h - 13. Let i be c(-4). Let s = 8 - i. Which is greater: s or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48488 and 65656.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2083 and 689.\nAnswer: -1435187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15282229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 17 = 4*n. Let z be (-22)\/n - 4\/(-16). Solve -z*p + 20 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2811177929.\nAnswer: 7, 31, 53, 244429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14238784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-96)\/(-110) - 4\/(-10). Let x = s - 104\/99. What is the second smallest value in -4, 2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/((-6)\/8). Suppose -2*t = -3*x + 28, 4*x = -2*t + 4 + 24. Calculate the smallest common multiple of 18 and 21\/g*(x\/12 + -2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5414*4\nAnswer: -21656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002045864918 rounded to six decimal places?\nAnswer: 0.002046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b = -49*b + 65*s - 270, -b - 4 = -2*s - 6 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 434222220?\nAnswer: -434222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -48. Solve 2\/7*c**2 - 2\/7*c + z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18411061 * 0.1.\nAnswer: 1841106.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -10\/7 (c) 1\/3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 3*w + 2*r, 0 = -w + 3*r - 3. Sort -4, -3, w, -10.\nAnswer: -10, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4682, 5565, 7038, 9101, 11754, 14997, 18830?\nAnswer: 23253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**19 assuming g is positive.\nAnswer: g**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(147)) + sqrt(147) - (2 + sqrt(147) + sqrt(147))*3)**2 + (-1 + 6*sqrt(21)\/sqrt(7))*5.\nAnswer: 282*sqrt(3) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127731\/20 + -6385. Let z(b) = -b**3 - 9*b**2 + 11*b - 8. Let m be z(-10). Calculate the common denominator of y and (-1119)\/(-54) + 4\/m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, 5\/4, 4, 0.184?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = d - 0*d. Let t = d + 14. Find the third derivative of 5*h**3 - h**2 + 7*h**2 - t*h**2 wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -165, -487, -1105, -2115, -3613?\nAnswer: -5695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - 2*q**3 - q**2)*(2*q - 1 + 1) + 2*q**4 + 2*q**4 - 2*q**4 to l + n*q**3 + p*q + v*q**4 + y*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056899 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20711638 and 326.\nAnswer: 3375996994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -7*d**7\/6 + d**4\/4 - 313*d**3\/2 + 86*d - 1. What is the second derivative of i(z) wrt z?\nAnswer: -980*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -101*f**3 + 3*f - 3. Let b be d(1). Let r = b - -105. Let h be (-18)\/(-2) + 0 + -4. Solve 0 = g - 4*g - r*i - h, -5*g = 4*i - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 0, 5610, -4 in ascending order.\nAnswer: -4, 0, 55, 5610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4, x: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 17.66. Let f = -634.8419 + 634.5. Let h = f + z. Round h to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -5)\/((-36)\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/20*-4*10\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26924715.27 rounded to the nearest ten thousand?\nAnswer: 26920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275710, -27, -15 in descending order.\nAnswer: -15, -27, -275710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(3))\/sqrt(2) + sqrt(17) - (sqrt(119)*-2 - sqrt(119) - sqrt(119))\/sqrt(7))*-4.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/(c**(1\/10)*c*c) assuming c is positive.\nAnswer: c**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**3*v + 1409*s*v**3 - 6*s*v + 654998*v**3 wrt s?\nAnswer: 6*s**2*v + 1409*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 570*i**2 - 570*i**2 + 25*i**3 + 18 wrt i?\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-808))\/((-14)\/(-70)*15\/1)\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.78 - 45489.\nAnswer: -45470.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i*y**2 + 104*i*y + 793384*i + 188*y**2 - 26*y + 76 wrt y?\nAnswer: -8*i*y + 104*i + 376*y - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 + 5*r + 2. Let v(n) = -36*n**2 - 27*n - 11. Calculate -2*v(o) - 11*z(o).\nAnswer: -5*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m - 22433 = -20123 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b12 (base 12) in base 10?\nAnswer: 49982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7*5*(-16)\/(-240)*3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 13*u + 8*u + 40, -5*u = 5*s - 80. Suppose 15*a = -5*a + s. Solve 2*f = o + 2 - a, -3*f = 4*o - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y**2 + y. Let m(h) = -6*h - 25*h**2 + 6*h + 22*h**2. Give m(r(n)).\nAnswer: -243*n**4 + 54*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 95, 218, 389, 608, 875?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let n(g) = -g - 3. Let k(o) = o + 7. Let m(f) = -2*k(f) - 5*n(f). Suppose 3*t + 10 = -5*x, 3*x = -t - 3 - 7. Give x*v(y) - 2*m(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 2. Let x(m) = -1. Let n(t) = -g(t) + 2*x(t). Let z be n(3). What is the units digit of 1\/3 - 123\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -31 + 1220\/50\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147852 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 - 407. Let u(b) = -16*b**2 + 8*b + 124. Let d(o) = -17*o**2 + 10*o + 125. Let v(g) = c*d(g) + 5*u(g). Differentiate v(s) with respect to s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**3 - 1\/4*b**4 - 6 + 0*b**2 + 5*b. Let u(f) = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2789879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -375.2262 to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -204420 (base 6) to base 15\nAnswer: -4d9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m + 11*m + 32*m - 1 as x*m + u and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*164\/6*((-72)\/8 - -8)?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 6*u**2 - 3*u + 2. Let d = 52 + -14. Calculate the least common multiple of d and r(-6).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556618.\nAnswer: 2, 7, 111187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.137, -0.6, -2, -0.4, -5 in decreasing order.\nAnswer: -0.137, -0.4, -0.6, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 5)\/((-10)\/(-22)) + 4. Let h = 15 - 15.09. Let g = 0.19 + h. Put g, d, -1\/3 in descending order.\nAnswer: g, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 14*c + 56 + 22. Suppose 0 = 6*w - w - 10. Let g = w - 7\/4. What is the nearest to g in c, -0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -12, -143, 1, 3, 10 in descending order.\nAnswer: 10, 3, 1, -12, -40, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 257276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2320*s**5 - 460280*s**4 - 1538465*s**3 - 361120*s**2 + 497835*s - 76050 = 0.\nAnswer: -195, -3, -26\/29, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6357616?\nAnswer: 2, 397351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (34800*y + 1 - 208*y**2 - 34800*y)*(3*y + 0*y - y) as i + a*y**2 + r*y + v*y**3 and give v.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45019.\nAnswer: 13, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 48*f**2 - 201*f - 88. Calculate j(-44).\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -119524 - 343?\nAnswer: -119867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**4\/7 + 2026712*q**3\/7 - 7431342*q**2\/7 + 5404632*q\/7 + 2702312\/7 = 0.\nAnswer: -337789, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*d - 20 = 0, -k + d = -0*d - 26. Put 2, 5, k in ascending order.\nAnswer: 2, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2. Let f(q) = -5*q - 4. Let a(d) = -f(d) - 3*o(d). Let p be a(-4). Calculate the common denominator of (332\/p)\/(-1 - 0) and -5\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let z be (1\/(-3))\/(d\/(-2)). Let j = 1684 + -1680. Sort z, 2\/19, j in decreasing order.\nAnswer: j, 2\/19, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + sqrt(80))**2*-3 + -4 - (0 + (-3 + sqrt(80) - sqrt(80))*6)).\nAnswer: -1190 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 + 327. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/72 - 2\/(-9). Suppose -g + 4*s + 6 + 34 = 0, 2*s - 10 = t. Suppose 0 = 2*i - 5*f - g, -2 = i + 2*f - 23. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4412*x**4 - 1988*x**4 - 4*x**3 + 4*x**3 - 2164*x**4 - x - x**4 + x - x**4 - 3*x**3 + 3*x**3 + (-5 + 2 + 4)*(-4*x**4 + 2*x**4 + x**4).\nAnswer: 257*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((12\/(-3))\/(-4))\/(-2). Let w = 1.4 + -1. Let h = -60 - -60. Which is the nearest to h? (a) w (b) p (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s - 13 - 29. Let v be 24*((-19)\/s + -5). Calculate the greatest common factor of 80 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 - 43*c + 2. Let v be l(-11). Let s be ((-144)\/v - 1) + -3. Solve 3*k - 15 = -s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/2 - 18823963*q**2 + 75295855*q\/2 - 18823964 = 0. Calculate q.\nAnswer: -37647928, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855207991?\nAnswer: 11, 77746181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4491655 and 4760?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 + -1282833?\nAnswer: -1282744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12.63828l?\nAnswer: 12638.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 12:23 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.29 (b) -4\/11 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 v, and 1 d when four letters picked without replacement from qvdllcll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1712*l - 94353 = 1422*l - 204*l + 34567 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 5*k**2 - 2*k + 7. Let g = 4 - -1. Let f be p(g). Is f bigger than -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from nevta?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -446*l - 1145.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) - (sqrt(17) + (-1*sqrt(204))\/sqrt(12)))**2 + (sqrt(17) - sqrt(68)\/sqrt(4))*-4 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4683*d + 4665*d - 18. Sort 1, d, 30, 0 in increasing order.\nAnswer: d, 0, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gjjggjgjjj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -26. Let o = 13 + n. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241908100 by 120954050.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**5 + 2*g**4 - 2*g**2. Let a(b) = 4*b**5 - 5*b**4 + 5*b**2 + b. Let y(n) = 2*a(n) + 5*l(n). Find the second derivative of y(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 19. Solve 3*j + 5*x - 23 = 0, 0 = j - 4*x - x + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 13 + 19. Let w(g) = -2*g + 4. Let s be w(i). Solve 3*z + 8 - s = f, 5*z = 3*f + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-14)*(-1582)\/1695\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*y - 0 + 14, 5*y = -20. Let q = 5632.4 - 5632. What is the fourth smallest value in -4, q, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877300 rounded to the nearest 10000?\nAnswer: 1880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25203229.\nAnswer: 2111, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211 + 1785. What are the prime factors of t?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-6)*j))\/j**(-4)*(j*j*((j**(-2\/3)*j)\/j*j)\/j*j)**21)\/((j**(-1)\/j)**(1\/19)\/((j*j**(-4)\/j*j)\/j**6)) assuming j is positive.\nAnswer: j**(971\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -4, -51657, -10, -3, 4 in descending order.\nAnswer: 4, 0, -3, -4, -10, -13, -51657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1485157 - -1?\nAnswer: -1485156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10103.22*-0.13.\nAnswer: -1313.4186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 73*g - 62*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 645864.4 centuries in decades?\nAnswer: 6458644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/24 and (-13 - 126\/(-10)) + 389\/1760?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2276*l + 10. Let m(o) = 758*o + 3. Give -10*m(r) + 3*y(r).\nAnswer: -752*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123695 and 101205.\nAnswer: 1113255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 28435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 92, -20, -486, -1534, -3392, -6288, -10450, -16106?\n\"Answer: -38*k**3 + 51*k**2 + k + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)\/h*h**(-4\/3)\/h assuming h is positive.\nAnswer: h**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 821, -6, 1 in descending order.\nAnswer: 821, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 7*b**2 + 5*b + 8. Let p be (1\/2)\/(2\/24). Let a be q(p). Solve 4*y - 19 = t, a*y - 8 = 4*t - 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -58, -210, -5.\nAnswer: -210, -58, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 17620203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 214245*z**4 - 39038130*z**3 + 1782453545*z**2 - 377557180*z + 20040020 = 0. What is z?\nAnswer: 22\/207, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10880 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 7*j - 8. Let k be y(-6). Let x be (2\/k)\/((-1)\/5). Suppose -3*h - x*f + 28 = 0, 3*h + 0*h - 56 = 2*f. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2545 + 7*k**2 + 1258 + 1287.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.008 - 35.008. Let w = -38 - q. What is the closest to w in 5, 0.1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*t - 765*t - 41219 = -248*t for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20227855 is divided by 34111?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/45)\/(((-2772)\/(-189))\/(-11))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.205742 decades to centuries.\nAnswer: 0.5205742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 7. Let r be o(-3). Let b(t) = 2 - 8 + t + 5. Calculate b(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*b - 387 = 0, 2*l + 0*b - 151 = 5*b. Let y be 2\/13 + (-168)\/l - -2. Solve y = -v + 5*i - 21, -i - 1 = 5*v - 0*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2.3\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 200474, 200479, 200486, 200495?\n\"Answer: k**2 + 2*k + 200471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4637021.\nAnswer: 229, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11770453 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.5 (b) -3\/2 (c) -0.06 (d) 2 (e) 8721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voso when four letters picked without replacement from opporppospoovpooo.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 136, 273, 408, 541?\n\"Answer: -r**2 + 140*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/8533*23)\/(4\/(-32)*6\/(-12))?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252.92 + -252.920017911. Round f to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 4. Let a be f(3). Let b be (-26)\/2*(-5)\/5. What is the units digit of b*(-3)\/(-4 + a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394867439 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2144\/45 - 48533\/990. Find the common denominator of 131\/18 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + -54. Let h = 70 - k. Sort -0.05, -0.5, h in descending order.\nAnswer: h, -0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -5*z + 3*h + 200, 7*z + 5*h = -11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22300 = -391*x - 501*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000805392 rounded to 6 decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/2)\/((-18)\/72). Suppose d - 165 = -l*d. What is the third derivative of d*u**2 - 6*u**6 + 17*u**6 + 0*u**6 wrt u?\nAnswer: 1320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 31*x - 11017. Calculate c(-122).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*t - 2 + 5*t + t - 5*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 - 86. Let g(p) be the second derivative of 0*p**4 + 0*p**2 + 1\/42*p**7 - 3*p + 1\/5*p**5 + w*p**3 + 0 + 2\/15*p**6. Suppose g(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320 + 316. Which is the second biggest value? (a) -2 (b) -3\/13 (c) -0.5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + 2354341?\nAnswer: 2354310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*g**3*v**3 - 3*g**3*v + 3*g*v**4 + 48*g - v wrt v.\nAnswer: -72*g**3*v + 36*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 4. Let h be o(4). Suppose h*j - 154 = -5*p + 3*j, 24 = p - 4*j. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 990*j**2. Let l(y) = -y. Determine k(l(f)).\nAnswer: 990*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ful when three letters picked without replacement from {f: 2, u: 2, e: 1, l: 1, y: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(91) - sqrt(91))\/sqrt(7).\nAnswer: -3*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243 - -3?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/8)*c**2\/c*((c**(2\/19)\/c)\/c)\/(c\/((c*c\/(c\/(c\/((c**(2\/17)\/c)\/c)))*c)\/c)) assuming c is positive.\nAnswer: c**(4167\/2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3051602 (base 8) in base 6?\nAnswer: -25151510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1216) + sqrt(1216)*1) + 2*sqrt(1216) + 3 + sqrt(1216))**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100454613 is divided by 276?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2688)\/(-96)*3\/24*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*u + 12, 3*j - 15 - 1 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 12. Suppose 4*g - 2*x + s = -0*g, -5*x + 15 = 0. Is 1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -1)*-6)**2.\nAnswer: -432*sqrt(19) + 24660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 9*v**2 - 4*v**3 - 5*v**3 + 0*v**3. Let j = -181 + 174. Let s(b) = 9*b**3 - 8*b**2. What is j*s(k) - 6*u(k)?\nAnswer: -3*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/13))\/(r**1*r)*(r*r*(r*r**(-1\/2))\/r)**(30\/7))**36 assuming r is positive.\nAnswer: r**(18036\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 6*i + 3*i)*(-2 + 3 - 2)*(107*i + 44*i**2 - 107*i) to f + b*i**3 + t*i**2 + n*i and give b.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130997?\nAnswer: 101, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(-a**3 - 17*a**3 + 1 - 14*a**3) to the form g + y*a**2 + z*a + k*a**3 and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*g - 8 - 3, 0 = 3*z - 30*g + 18*g + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*z + 2664 = -68*z. Calculate the highest common factor of 148 and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 12*r**2 - 5*r + 128. Let p be q(12). Find the third derivative of 144*v**2 - 1 - p*v**3 - 57*v**3 - 168*v**2 wrt v.\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*c = 3, 232 = -3*t + c + 238 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 80*v**2 - 574*v - 7. Let t be w(8). Solve -z - 4*j = -7, 3*j - t = -z - 2*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2984*x - 3099*x. Sort x, 3, -5, 2025 in decreasing order.\nAnswer: 2025, 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 88283*f - 4679016. Calculate d(53).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 12:00 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 266 = -0*m. Let i = m + -1057\/4. What is the common denominator of 117\/10 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*d + 21*d**2 - 8*d - 11*d**2 - 3 - 11*d**2 to the form p*d + u + h*d**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 9. Let f = l + 8.999936. Round f to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91629 bigger than -91615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 1. Let o be j(5). Suppose -3*v = 5*g - 4*v - o, -2*v + 4 = g. Let l(m) = -10*m - 109. What is the remainder when l(-12) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 u, and 2 a when four letters picked without replacement from ahwaeaweyhau.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p**2 + 325*p + 3259. Let q(w) = -9*w**2 + 324*w + 3252. Let f(d) = -5*g(d) + 6*q(d). Differentiate f(l) wrt l.\nAnswer: 2*l + 319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -12*n + 45. Suppose -2*g + n*g - 3*h = -6300000, -3*h = 2*g + 6300000. What is g rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0072754549 to 6 dps.\nAnswer: -0.007275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727, -590, -431, -238, 1, 298, 665?\nAnswer: 1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 18*r + 162. Let v(b) = -b**2 + 15*b - 135. Let n(a) = 5*h(a) + 6*v(a). Let z(f) = -2*f - 4189. Determine z(n(q)).\nAnswer: 2*q**2 - 4189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 5*r. Let q(p) = -4*p**2 + 9*p - 1. What is 5*b(u) - 2*q(u)?\nAnswer: -2*u**2 + 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*z - 18, -3*j - 2*j + z + 66 = 0. Let q = -20 + 45. Let l = q - j. Calculate the lowest common multiple of l and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10755 - 10650. What is the least common multiple of z and 225?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 8*m**2 - 11*m + 5. Let t be u(5). Put 4, t, -6 in descending order.\nAnswer: 4, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**3 + 67*s**2 - 242*s + 178. Let r(g) = -2*g**3 + g**2 - g - 1. Let m(t) = -d(t) + 2*r(t). Factor m(b).\nAnswer: 5*(b - 6)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 13*k - 24. Calculate the remainder when 84 is divided by -2 + k\/3 - -27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 22986.\nAnswer: 91944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 5*j - 3. Let b(q) = -3*q + 1. Let c be b(2). Is p(c) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 9:40 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 8. Let w be q(6). Let m be (-1)\/(-1)*(-1 + w). Let x = 10 + m. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*t + 395*t + 557*t - 337*t.\nAnswer: 1132*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 4*y**2 - 3*y - 2. Let t = 21 + -11. Let x be (1 - 3)\/(t\/(-25)). What is the units digit of o(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - 2*n**4 - 86*n**3 + 45*n**3 + 2 - n + 40*n**3 as y*n**2 + o*n**4 + z*n**3 + r*n + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 13*t**2 - t + 12. Determine k(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**5 + f**2 + 2*f - 142?\nAnswer: 60*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*-0.2\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54414128*9\nAnswer: 489727152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(209) + 2*sqrt(209) + sqrt(209)) + 1*sqrt(209)*-1)\/(sqrt(11) + -1*sqrt(99) - sqrt(77)\/(sqrt(21)\/sqrt(3))).\nAnswer: 92*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*36\/(-8). Suppose 0 = 5*q + 3*d - 43 - 87, -l*q - 2*d = -79. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4563 minus -4?\nAnswer: 1.5437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-6)\/2 + -3. Solve 0 = 3*i - 4*f - 7, 0*i + 4*i + y*f + 24 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53751 times -0.28?\nAnswer: 0.9905028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20\/150)\/((-3808)\/(-680)*(-5)\/(-12))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 34053 and 34486 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -7*s + 3*s. Let b = 37 + s. Suppose 0 = 3*q - 3*c - b, 3*c + 4 + 2 = q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 3*v**2 - v + 4. Let c be a(2). Let n(q) = 14*q**2 + 9*q - 1. Is n(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886791703?\nAnswer: 7, 23, 5508023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4327 is divided by 825.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - 15.2. Which is smaller: n or 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 357*u**3 - 29*u**2 + 19*u + 5. Determine v(1).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*f + 6073, 4*f - 5532 = 5*y + 2507. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -38951\/9?\nAnswer: -38951\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*q - 12873 - 192057 = 53*q. Calculate the lowest common multiple of q and 506.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c + 11. Determine r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:23 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*l = 3 - 17, -2*l = 2*c - 16. Find the second derivative of 2*i - 12 - 13 + 51*i**2 - 7*i**2 + 0 - c*i**3 + 0*i**2 wrt i.\nAnswer: -18*i + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a + 7\/6*a**3 - 7\/24*a**4 + 0 + a**2 - 1\/360*a**6 - 1\/24*a**5. Let s(c) be the first derivative of f(c). What is s(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341079.\nAnswer: 3, 41, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + y. Let s be g(-1). Suppose 0 = -4*b + s*t + 12, -2*b = 3*t - 1 - 0. Find the third derivative of 3*x**6 + 2*x**2 - 4*x**6 + x**b wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-15)\/r)\/(((r*r**(-11))\/r*r)\/r)*((r\/(r*r**(2\/3)))\/r)\/r**(-9) assuming r is positive.\nAnswer: r**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23202101022 (base 4) to base 5\nAnswer: 1233231241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.6 - 69.\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + q**4 + 2*q**3 - 12*q**2 + 29*q**4 - 17*q - 40*q**4 + 9*q**4 in the form u*q**2 + w*q + d*q**3 + r*q**4 + x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*q = 295*q - 4563 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 12 + 28 - 210*s**2 - 9 - 7.\nAnswer: -216*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -85*f**2 - 25. Let g(v) = 14*v**2 + 4. What is -25*g(j) - 4*w(j)?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*l**2 + 322*a**4*l - 3*a**4 - 12617*a**2*l**2 - 6*a*l + 2*l**2 wrt a.\nAnswer: 48*a*l**2 + 7728*a*l - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(5\/3)\/h*h))\/h*h**9*(h\/(h*h*(h\/(h*h**(1\/5)\/h*h))\/h))\/(h\/h**(-4))*(h**(-5\/8)*h*h\/(h*h**11\/h))**(-6) assuming h is positive.\nAnswer: h**(3617\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 15 = 0, -11 = 2*k + 3*w + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 - -9bd42?\nAnswer: 9bcf9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 695684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-2\/9)*((j\/j**(6\/5))\/j)\/j)\/((j\/j**(2\/19))\/j**(1\/3)))\/((j*j*j*(j\/(j**(-1\/3)\/j))\/j*j*j*j)**(-6\/5)\/(j**(-1)\/j)**(11\/6)) assuming j is positive.\nAnswer: j**(3548\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -25 - 11*a**2 - 13 + 12*a**2 - 4*a. Let l be x(11). Let p = 18 + 47. Calculate the greatest common divisor of p and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13831.892 - 13860. Round c to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**3 - 2*r**3 + 2*r**3)*(41 + 41*r - 86*r + 42*r) to s*r + c*r**2 + g*r**4 + w*r**3 + d and give w.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 - 25680*a**2 + 308788*a + 334464 = 0. Calculate a.\nAnswer: -6432, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(204) - sqrt(204)*2) + sqrt(204) + sqrt(204)))\/(5*(-2*sqrt(12) + sqrt(12))).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**3\/2 + 3*z\/2 + 25. Factor j(h).\nAnswer: -3*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 2*x + 6. Let f be s(-6). Let g be (21\/(-9))\/7*f. Let a(v) = -v. Let k be a(-2). Solve -g = -k*o - 0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -406, -1124, -2320, -3994?\nAnswer: -6146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/11)*k**(-2))\/((k**(2\/5)\/k)\/(k\/(k\/(k*k**(-6)\/k)))))**13 assuming k is positive.\nAnswer: k**(-5421\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.5. Let l = 124.9 - 124. Let d = l + f. What is the third biggest value in 2, d, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124190*q**3*t + 18*q**3 + 12*q**2*t + 730*q*t - 29 wrt q?\nAnswer: -745140*t + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-44)*18\/(-27). Put 2\/15, o, 5 in descending order.\nAnswer: 5, 2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 1 - 892*q**2 + 15 + 169*q**2)*(5 - 5 + 8*q**3).\nAnswer: -5784*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/772305 and -4\/21.\nAnswer: 5406135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-5))\/3)\/(308\/(-1540)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 11 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 14, -21, -92, -211, -390?\n\"Answer: -2*x**3 + 3*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1646 - 27990\/17. Put d, 4, -2 in decreasing order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1 - 10*u**2 - 8*u + 11*u**2 + 6. Let q be w(0). Calculate the greatest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312033 - 1?\nAnswer: -1312100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142851 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 40 = -21*v. Suppose 5*i = 3*i + a + 3, a = v*i - 9. Solve i*c = 3*f - 3*c - 31, 20 = -4*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962372657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 + p + 7*p**3 - 4*p**3 - 6*p**2 + 1. Let f = -18 + 13. Let u = 5 + 1. Let z(n) = 6*n**3 - 5*n**2 + n + 1. Calculate f*x(w) + u*z(w).\nAnswer: w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1640 + 248 = -116*l. Suppose -3*u + 44 = u. Let w = -6 + u. Solve 0 = 2*k + p - l, w*k - 3*p = 2*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146151 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 4121*q**2 - 4*q**3 + 4121*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 0.1, 3, -2212?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-6 + 32)) + 8 - -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544 and 248?\nAnswer: 16864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3317, 13261, 29835, 53039, 82873, 119337?\n\"Answer: 3315*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254368083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20802444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0 + 0)*(-1 + 4 + 1) - 10 + 10 - 2*h as b + i*h and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.4. Let n = 665 + -751. Let c = 257\/3 + n. What is the closest to c in q, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/56 + (-128)\/(-14). Let g(a) = a + 2. Calculate the remainder when 32 is divided by g(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85521 - 1281913\/15. Let r = -60 + y. Which is the biggest value? (a) 0.3 (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + -8.15. Let n = 9 + s. Which is the second smallest value? (a) n (b) 1\/12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 8 = 5*n. Suppose n*s = -s + 120. Solve -s = -5*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17507791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3767 - -0.369072. What is n rounded to four decimal places?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353 - 330. Is q not equal to 118\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 + 2 + -5 + -11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((8 - 39) + 29 - (-2 + 0)) + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1364 and -79\/682.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -13940, 162, 4 in descending order.\nAnswer: 162, 63, 4, -13940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-20)*10)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14667180?\nAnswer: 2, 3, 5, 11, 71, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x. Let w(i) be the second derivative of -i**7\/2520 + 5*i**4\/6 + i. Let m(t) be the third derivative of w(t). Give m(v(j)).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = n. Let g(k) = -11*k + 6. Let s be (66\/(-55))\/((-6)\/40). Let c(j) = 4*j - 2. Determine n*g(r) + s*c(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211110220200 (base 3) in base 9?\nAnswer: 1743820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1731*n*q*r**2 + 6*n*q + 479*n*r + 3459*q*r**2 - 574*q*r wrt r?\nAnswer: -3462*n*q + 6918*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 - 8*i**2 - i**3 + 5*i**2 - 3*i**3.\nAnswer: -4*i**3 - 3*i**2 + 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 139*b**2\/9 + 137*b\/9 - 2\/9.\nAnswer: (b + 1)*(139*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -220538 less than -220533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 1)*(-1 + 1 - 1)*((0 + 2 - 1)*(0 + 0 - 2*r) - 2*r + 3 - 3 + (2 - 3 - 1)*(-5*r + 2*r + 4*r) + 0*r - r + 0*r) to b*r + f and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvkk when four letters picked without replacement from ktkvvvtkqrk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:36 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9))**(-3\/32)\/(m\/(m*m**(1\/4)*m))**35 assuming m is positive.\nAnswer: m**(2099\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (240\/36 - 11)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 12051773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 4)*(-5*t + 3*t + 0*t) + 1 - 2*t - 1)*(35*t**3 + 50*t**3 - 16*t**3) + 4 - 4 - t**4.\nAnswer: -277*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**3 + 12*j**2 + 6*j - 4. Let g(l) = -l**3 + l**2 + l - 1. Calculate -6*g(p) + z(p).\nAnswer: -p**3 + 6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 8*r + 847. Let b = r - -129. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, -7 in decreasing order.\nAnswer: 5, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609781281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/133 - 74\/(-14) - (-2 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**10\/6048 - v**6\/144 - v**4\/12 + v. Let t(k) be the third derivative of r(k). Find the second derivative of t(u) wrt u.\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 110*s**2 - 21*s + 43. Let h(o) = o**3 - 92*o**2 + 21*o - 42. Let j(b) = -5*h(b) - 4*y(b). What is j(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 2, t: 4}. What is prob of sequence mt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3 - 5*f**2 + 0*f**2 + f**3 + 6*f. Let v be m(5). Suppose 0*g - 5 = 4*g + 5*c, 3*c = -4*g - 3. Solve -v*t + t + 3 = g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52028 is divided by 1792?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/95 - -2\/19. Let w = 2\/5 - v. Suppose 0 = -5*s + 2 - 27. Which is the closest to -0.3? (a) w (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4494 (b) 0 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-78)*24\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9655780*j. Let p(x) = -2*x**2. What is p(q(z))?\nAnswer: -186468174816800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 12:56 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -74719 less than -14420630\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 4:23 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 4)*(10 + 1 - 6)*((2*n + 4*n - 5*n)*(3*n - 4*n - n) + (-3 + 3 - 1)*(n**2 - 5*n**2 + 6*n**2)).\nAnswer: -100*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1090.1 + -1034. Round h to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251232135 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 50*k**2 + 14*k + 6 - 3 + 19*k**3 - 7*k**3 + 14 - 231*k**2. Let x be r(15). Solve 3*g - b = 10, 3*b + 5 = -x*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 244. Solve 0 = 4*m + 2*l - 24, 36 = m + 4*m + g*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 17465280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 1. Let n(m) = 12*m**3 + m**2 + 1. What is -2*i(b) - 2*n(b)?\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8908\/2431 - (-8)\/44 and -5\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h - 7. Let i(f) = 13*f - 10. Suppose -4*d + d - 15 = 0. Give d*i(k) + 7*v(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10038\/(-956)*(-600)\/(-63).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -699 - -679.97. Let f = y - -0.03. Let i be (30\/(-25))\/(4\/10) + -2. Which is the third smallest value? (a) f (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1669373 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1044 (base 6) to base 10\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -3. Let s = 163.1 - 163. Which is the third biggest value? (a) -1 (b) -0.5 (c) t (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -84*y - 1382. Calculate x(-17).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 812440.5 to the nearest ten thousand.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 109*d**4\/24 + 9*d**3 + 2*d**2 + 108. What is the first derivative of r(n) wrt n?\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*6\/18*-1)\/(64\/(-1632))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.153951 decades to years.\nAnswer: 91.53951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2885326 is divided by 318.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209714 = 99*b - 216085. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 + 13*y**3 + 9*y**2 - 22*y**3 - 1 + 0 to u + l*y + a*y**3 + j*y**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6273.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13022 and 16?\nAnswer: 104176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21999)\/(-33) - (-8)\/(-44). Let n = j - 667. Is -1 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73153987 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 30*u - 95. Calculate i(-15).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 61*s**3 - 47*s**2 - 20*s + 28. Let y(m) = 85*m**3 - 70*m**2 - 30*m + 42. Let c(j) = -7*i(j) + 5*y(j). Give c(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 9. Let r be v(7). Suppose -8 + 13 = r*u. Solve o = -u - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 8865?\nAnswer: -8866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6720 - -6720. Let n = 1.3 + -1. What is the closest to 0 in h, -3, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/57*(-8)\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.9 + 44.9. Let y = 2 + -3. Let z = -2 - -2.3. Which is the nearest to s? (a) -2 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -186 or -205?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -131*i**7\/42 + i**6\/6 + 167*i**3\/6 - 563*i. Find the second derivative of f(d) wrt d.\nAnswer: -2620*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -732*m + 509*m + 669 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 99?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnyyyyynynn?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10962 - -2239. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 41294806?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -18. Suppose 3*q + y - 2 = 0, 0 = -y + i*y + 8. Suppose h = q*h - 10. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/50*3\/((-72)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*134862\/741\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -81*j - 3776. What is u(-47)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -58*k - 18. Let p(i) be the second derivative of -29*i**3\/3 - 9*i**2 + 5*i. Let w(o) = 6*p(o) - 5*y(o). Is w(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -5*(sqrt(156) - -1*sqrt(156)) + sqrt(156))\/(sqrt(192) - sqrt(48)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9210762 millennia to years.\nAnswer: 921.0762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 686?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -139, -219, -311, -421, -555, -719?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(3*1*sqrt(132) - sqrt(132))\/(sqrt(24)\/sqrt(2)*2)*-6)**2.\nAnswer: 228096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -90 (b) -2\/21 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -1)\/(23492\/(-29365))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - 2*s**3 + 9*s**3 + (-s + 5*s - s)*(494*s**2 + 499*s**2 - 225*s - 991*s**2) as l*s + k*s**3 + y + m*s**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -731298 * 291.\nAnswer: -212807718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 105\/21 + -1 + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 5*b + 4. Let w be r(-5). Let k = 1328 + -1328. Suppose k = w*a + 17 - 333. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -27*w**5\/20 - 125*w**3 + w**2 - 5*w - 1. What is the second derivative of q(a) wrt a?\nAnswer: -162*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f + 4 + 10*f - 20*f)*(-2*f + f - f).\nAnswer: 4*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-7 - (0 + 3)). Suppose i*m - 273 = -9*m. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13610000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -26. Let g = 256 - 215. Let c = g + s. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 4*q + 0 - q + 0 + (-1 - 2 + 4)*(-5*q + 5*q - 2*q))*(6*q**2 - 4*q**2 - 4*q**2)*(-8042*q - 3 + 1936*q + 2216*q).\nAnswer: -31120*q**4 - 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/364)\/(3 + 42\/(-16)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(((d*d**3\/d)\/d)\/d))**(23\/3)\/(d**(-1\/2)*d*d**(-1)\/d) assuming d is positive.\nAnswer: d**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31741778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -31. Suppose -f + 2 = 3, -12 = -4*r - z*f. Let t be r\/32*142 + (-2)\/(-8). Calculate the highest common divisor of t and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*w + 4, 42*c = 3*w + 43*c - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**4*(a**(-2)*a)**(-26)*(a**(-1\/4)*a\/a**(2\/3))\/(a**(1\/3)\/a*a)**(2\/31) assuming a is positive.\nAnswer: a**(12671\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 258*i**2 - 258*i**2 + 72 + (4 - i - 4)*(5*i**4 + 0*i**4 - 4*i**4).\nAnswer: i**5 + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 21*r**2 - 12*r + 31. Give k(3).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7217 + 20470. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 79*l + 436. Calculate j(17).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1763 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 4, 11, 5, 20, 315 in descending order.\nAnswer: 315, 20, 11, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u)**(-39) assuming u is positive.\nAnswer: u**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272619 is divided by 45433?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r**(1\/6)\/r)**(-29)\/((r*(r**(1\/4)\/r)\/r)\/r**(-6)*(r**(-2\/7)\/r)**(-2\/71)) assuming r is positive.\nAnswer: r**(199081\/5964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*((r**(1\/4)\/r)\/r)\/r)\/r)\/r)**(-2\/41))**29 assuming r is positive.\nAnswer: r**(319\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627966 and 12519.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liyhyjyyjhycyy. What is prob of picking 2 h, 1 c, and 1 y?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(130)\/sqrt(90)) + (2*sqrt(117))**2 - (-1*sqrt(1872)*5)**2*-6)*-2.\nAnswer: -562536 - 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 544, 803, 1060, 1315, 1568, 1819?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-772)\/1930 - (0 + 47\/(-5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 63*t**2 - 267*t - 168. Is f(-73) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11687932.\nAnswer: 2, 1453, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -8 - 2. Let b(a) = 6*a + 3*a**f - 4*a**2 + 0*a + 2*a**2 + 3. Let m be ((0 - 2)\/2)\/(8\/40). What is b(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 4*k - 2. Determine g(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 14478625366235?\nAnswer: 14478625366240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u + 14 - 23*u + 9 + 12 + 56*u.\nAnswer: 74*u + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 546679702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154181581 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:29 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 4*x**3 - 4*x**3 + (-2 - 2*x + 2)*(x**2 - x**2 + x**2) + (-2 - 1 + 2)*(-53*x**3 - 15*x**3 - 20*x**3) as a*x**3 + k*x + j + t*x**2 and give a.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -23 (c) -0.5 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + ((sqrt(44)*-1*-1)\/sqrt(4) - ((sqrt(11) - sqrt(55)\/(-2*sqrt(5))) + sqrt(66)\/(sqrt(24)\/sqrt(4)))**2))*4.\nAnswer: -1052 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 2*a + 0*a)*(5368 + 4905 - 1248)*(0 + 2 - 4)*(0*a + 4*a - 2*a) to the form d*a + u + f*a**2 and give f.\nAnswer: 36100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 303 - 303. Solve -8*f + 40 + 0 = w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -67 + 42*h**4 + 0*h**2 - h + 88\/3*h**3. Find the third derivative of v(t) wrt t.\nAnswer: 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 - 1 - ((-9 - -47) + -28)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*r + 1 - 11*r + 8*r)*(1 + 2*r - 1).\nAnswer: -32*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(539)*1 - sqrt(539)) + -4)**2)*-5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21140\/(-133182)*(-7)\/(-4)\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -36*o + 11. Let t(k) = 165*k**2. Calculate f(t(v)).\nAnswer: -5940*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-15)\/20) - 2. Suppose 10*d - 3576 = r*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -795, -4, -12, -2 in decreasing order.\nAnswer: 2, -2, -4, -12, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17742993 is divided by 1055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 310981 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 + 10*x**2)*(2 - 2 + 7)*(3 - 3 + 2)*(21 - 56 + 4).\nAnswer: -4340*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-756)\/1008*(-208)\/6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8097227011 to the nearest integer?\nAnswer: 89985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32536190 and 75490?\nAnswer: 32536190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9180\/11 + 18295\/22. Suppose z - 8 = 4. Find the common denominator of 1\/3 + 1\/z*-370 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {d: 2, e: 1, l: 1, p: 1, v: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343 + 85. Let u be o\/(-105) - (8\/(-5))\/4. Factor -12\/7*y - 8\/7 + u*y**2.\nAnswer: 4*(y - 1)*(5*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2412 divided by -3\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 20. Suppose -j*p = -3*b - p + 15, 4*p = 0. Find the third derivative of -l**5 - 4*l**b + 2*l**2 + 3*l**5 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*a - 26 + 12, 4*u - 10 = 3*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/95 in -1\/11, 5, 1\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*sqrt(6)\/sqrt(3) + (sqrt(72)*3 + 5)**2.\nAnswer: 183*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 546643163, 1093286325, 1639929487, 2186572649, 2733215811, 3279858973?\nAnswer: 3826502135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.77195872 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 115. What is the remainder when 35 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + -2 + 1 + 1. Let f be (-6 + 3)\/3 + 3. Suppose b + 20 = -5*z - 2*b, 2*z = f*b - 8. Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -531371?\nAnswer: 531352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.0053 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6.9. Let z = 0.1 + -0.6. Which is the nearest to d? (a) 5 (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, -2, -20 in descending order.\nAnswer: 3, -2, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*g + 27. Suppose 2*f - 195 = -5*z, g*f = 7*f - 3*z - 429. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/4 + 453*a**3 - 615627*a**2\/2 + 92959677*a - 42110733681\/4.\nAnswer: -(a - 453)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38684?\nAnswer: 2, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)\/u**6)\/(u**(-6\/7)\/u**(-3)) assuming u is positive.\nAnswer: u**(-841\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 16*u + 0 + 0*u**3 - 17\/12*u**4 - 3*u**2. Differentiate t(w) wrt w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**2 + 26*j + 175. What is the tens digit of v(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let a be b*(-5)\/(-8)*-4. Let k be 2\/(0 - -1) + a. Calculate the highest common factor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - o - 4 = 0, 4*o = 4155*l - 4153*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 15 = 8*t. Solve 1 + 8 = t*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-423)\/(-3300) - (-1)\/(-4). Let u = j + -3\/50. Sort u, 0, 3\/8 in ascending order.\nAnswer: u, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*(1288\/(-6118))\/((-10)\/19)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 102 = 3*n, -4*r + n + n = -128. Let x be (-2)\/10*((-40)\/r + 3). Let f = -0.1 - 0.1. Sort x, 5, f in ascending order.\nAnswer: x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/(-72)*4\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*k - 0*k + 60, -s = 2*k - 28. Suppose -2*f - k = -4*d - 4*f, -2*d + 5*f - 4 = 0. Suppose w + d*w - 52 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69800 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2 - 368190*w + 736392 = 0.\nAnswer: -122732, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4458*n**2 - 8921*n**2 + 4481*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/16 and ((-244)\/(-8))\/1 - -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:40 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 23 - 25. Solve 0 = s + 2*v - q, -3*v = -6*s + 2*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, 26847 in decreasing order.\nAnswer: 26847, 17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = -n, 99*n - 7 = v + 97*n. What is the nearest to v in -2\/21, 2\/15, -260?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Let w be (g\/8)\/(1\/14). Let f be 3 + (-1)\/(-2)*-2. Solve 3*l = s + 9, 6*s + w = f*l + 5*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -8.1.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:29 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d - g = -20, 2*g + 32 = -4*d. Let z be d\/10 - 45570\/(-75). What is z rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -328 != -252542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -165\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 6*o - 4*o)*(3*o - 3*o - 2*o + (-1 + 1 + 1)*(-3*o - 2*o + 3*o)) - 4*o**2 + 0*o**2 - o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4829392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 435035 (base 6) to base 14\nAnswer: d223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 23*g**3\/3 + 2*g - 13. Differentiate j(z) wrt z.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.5, -1992, 5 in increasing order.\nAnswer: -1992, -0.5, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -5086\/5 and -519 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-2 - -1) - (45 - 62)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -9*s + 13*s + 4*v - 52, -1 = 2*s + 5*v for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - -0.01. Let r be ((-4)\/(-18))\/(9\/108*-4). Which is the second smallest value? (a) r (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781031 is divided by 156148?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 132 = 3*k, 0*g + 5*k = g - 100. What is the common denominator of 19\/22 and (-234)\/g + 3\/(-2)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 2, y: 1, d: 1, n: 1, s: 1}. Give prob of picking 1 d, 2 y, and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 3. Let s be a(0). Let q be ((-3)\/(-9))\/(s\/27). Let h = -3 + q. Solve h*k - 4*k - 5*v = 9, 2 = -4*k + 2*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, y: 3, f: 5, k: 9}. What is prob of picking 2 f and 1 k?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 67980*y**3 - 558656512*y**2 + 325541585472*y - 648848001024 = 0. Calculate y.\nAnswer: -17268, 2, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/14)\/((882\/(-1680))\/((-42)\/24)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*x + 12, -4*x + 4*f = -f - 19. List the prime factors of 3 + -58*x\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-7) - 4\/14. Let p = 5 + a. Suppose -2 = -p*t + 4. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14902 - 19744.85098. Let m = k + 19744.79986. Let o = m + 0.2. Round o to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnaaaaaanranaja. What is prob of picking 1 j and 1 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:16 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -0.1 (c) 3 (d) 4 (e) 134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/23))**(-25)\/((s\/s**(3\/5))\/(s*s*s**(-9\/5))) assuming s is positive.\nAnswer: s**(227\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert f (base 16) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at most 2041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - s**2 - s**2)*(-129*s - 289 + 224 + 67).\nAnswer: -258*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -406.1642 - 0.28.\nAnswer: -406.4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - (-9 - -14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2. Let q(b) = -4*b**2. Let i(t) = t**2. Suppose -2 - 2 = -4*d. Let r(z) = d*q(z) + 3*i(z). Give r(c(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 791 and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6359\nAnswer: -3\/6359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w - 20*w - 837*w - 154*w = -33449 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -14771 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 670518537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2874 and -119\/366.\nAnswer: 175314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w + 2. Let q = -3 - -1. Is i(q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 0*g**3 + 0*g**4 - 2\/5*g**5 - 1 + 0*g**2 + 7*g. What is the derivative of n(y) wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 110*g - 541. Give s(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f - 4 + 4)*(-34 + 8 - 25)*(3 - 5 + 1) in the form n*f + h and give n.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 43*u**2 - 69*u - 80. Calculate x(41).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 62 = 3*f - 88, -5*u + 210 = -3*f. Let w = -18 + u. Suppose -23*z = -w*z + 224. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*z + 6. Let i = 1 - z. Is (-10029)\/(-45) + i\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(450)*3)\/(sqrt(50)\/(sqrt(30)\/sqrt(6)*2)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 74 + 96 = 0. Let s = -21 + x. Suppose 0 = 3*a - 5*b - 136, -22 = 4*b - 2. Calculate the remainder when a is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 - 54*n + 4.\nAnswer: -54*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19067126 + -1144002199\/60. Let x = s - 2058\/5. Calculate the common denominator of x and -31\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from dpdmdmoddddppppdmp.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -25 + -18 + 10. Which is greater: -18 or u?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*n + 203*n + 26 = -9*h, n = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4294.23214 + -4486.232317. Let p = -192 - s. What is p rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -803054, -1606111, -2409166, -3212219, -4015270?\n\"Answer: t**2 - 803060*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 9663?\nAnswer: 183597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -74894169 > -74894176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 30 + 27 + (-39 - -20)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4014\/135*6 + 6\/10. Solve 2*b + y - 173 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 5*s**2 + 2*s - 6. Let q be t(5). Let c be 64\/(-31) + q\/2. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 45. Let u be h(8). Let l = u + 70. Solve -16 + l = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*c - 130*c + 66*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31203289 times -0.5\nAnswer: 15601644.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346085 = -29*v + 277107 - 207129. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 2*c**2 + 5*c**2)*(0*c**2 - 3*c**2 + 5*c**2 + (14*c**2 + 10*c**2 - 9*c**2)*(2 - 1 - 2)).\nAnswer: -26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*o - 2310, 0 = -3*o - 0*z - 2*z + 2310. List the prime factors of o.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 22037\nAnswer: 242407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*-2*(-10)\/(-12). Suppose -3*u = 2*u - v. Suppose x - 1 - u = -4*y, -4*y + x + 5 = 0. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299127 or -299107?\nAnswer: -299107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2194334 and 45784.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231.886 - -115.83. Let t = w + 0.056. Let j = t + 117.5. Do 3 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10989?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(140))\/sqrt(5))\/(-2*sqrt(64)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7059, 28445, 64103, 114033, 178235, 256709?\n\"Answer: 7136*j**2 - 22*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45072.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + -6 - -8) - (-171 + 156)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 2*n**2 + 4*n**2 - 2*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14152962 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 - -3400?\nAnswer: 3491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.49214 - 459.453\nAnswer: -455.96086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Let h(t) = t**3 + 6*t**2 - 7*t + 8. Let m be h(-7). Suppose -3*i - m = i. Put i, s, 3 in descending order.\nAnswer: s, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -5*y**3\/3 - 3*y**2\/2 + 14. Let z(q) = -14*q**2 - 8*q. Let s(o) = 8*p(o) - 3*z(o). Let v(a) = 3*a**2. Give s(v(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 1, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55620511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 0*b**2 - 4*b**2 + (b - 5*b + 5*b)*(0*b + 0*b + 2*b) - 11*b**2 + 19*b**2 - 87*b - 4*b**2.\nAnswer: 5*b**2 - 87*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 2247?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14617986?\nAnswer: 2, 3, 229, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(26\/10) + (6\/(-4) - 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177086.9142 seconds to weeks.\nAnswer: 0.2928024375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*-1*sqrt(21))\/(2*sqrt(147)))**2 + (-1*(sqrt(70)\/(sqrt(30)\/sqrt(3)) + sqrt(7)) - sqrt(35)\/(-2*sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: -sqrt(7) + 27\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -23*h - 1296. Determine m(-56).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/5 (b) -123 (c) 147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:48 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*w + 17 = 4*h, -5*h = -5*w - 15. What is the remainder when h\/((-8)\/6)*(-166)\/2 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5473 divided by -5473?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by (0 - -1)\/(3\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00159999 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -74. Suppose 0 = 3*p - v*r - 0*r + 8, -5*r = -20. Let j be ((-3)\/12)\/((-1)\/2). Which is the nearest to p? (a) -0.1 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 16*a**2 - 2*a + 32. Let c be x(16). Suppose -2*v - 5*q = -q + 24, c = 2*v - 3*q - 4. Sort -31, v, 2 in increasing order.\nAnswer: -31, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1595*o + 1588*o = -42 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = 2*p, -5*p + 17 = -3*r - 58. Let o = 16 - p. Let s(h) = -h**2 + 5*h + 2. What is the smallest common multiple of 2 and s(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 - 4936*k\/3 - 4948.\nAnswer: 4*(k - 1237)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 9) to base 13.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -41.\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 55872\/(-52380)*105\/(-72)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2122, 2114, 2106?\n\"Answer: -8*c + 2130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -124. What is the greatest common divisor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1052026669, -1052026670, -1052026671, -1052026672?\n\"Answer: -z - 1052026668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2) + (126 - 3). Suppose 30 - k = 4*m. What is the units digit of 280\/(-16)*m\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b**3 + b**2 - b - 1. Let m be u(-1). Let x(h) = h - 6. Let v be x(m). Suppose 2 = -f + v. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.12 + -2.23. Let o = -0.61 - z. Which is the closest to -2\/21? (a) o (b) 0.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agqqqhhhqggq. Give prob of sequence ghgh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 17. Let l = 448\/3 - 148. Do d and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 3) to base 16.\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 6:05 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*p**2 + 1652*p**2 - 824*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*n = 381*n - b + 6, -566*b = -566 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -67. Let s be (y - 447\/(-9)) + (-4)\/6. Suppose -2*v + 2*n = -208, -2*v + 5*n + 169 = -s. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*f - 141*f = 204. Let b = -1.7 - -5.7. What is the closest to b in 0, -1\/4, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 2 e when four letters picked without replacement from ddxtheldxxde.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 20 = g. Let h(j) = 33*j**2 - 2*j + 1. Let r be h(g). What is the second derivative of -12*u + r*u**3 - 7*u**5 - 537*u**3 wrt u?\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 + 0.07. Let g = -9.821 - -4.821. What is the third smallest value in g, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957842.\nAnswer: 2, 41, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 8*a**2 + 4*a - 17. What are the prime factors of p(7)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4534752 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-51))\/(2\/(-4))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*g - 10039 - 2407 - 11380 = 0 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-68)\/(-10))*((-175)\/(-20) + -8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*h**2 - 496*h**2 - 414*h**2.\nAnswer: -711*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -46, -73, -98, -121, -142, -161?\n\"Answer: s**2 - 32*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22525512103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30619740 is divided by 1113?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 0.014. Let k = 0.0364 + y. What is k rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-30))\/(((-5)\/2)\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.82005749 - 10.82. Round n to 6 decimal places.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2\/27*m**3 + 2\/9*m + 1\/18*m**4 - 1\/9*m**2 + 1. Determine t so that z(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**2 + 143300*u + 286584 = 0.\nAnswer: -35823, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/12 + g**3\/6 - g**2\/2 - 178*g. Let x = 9 - 6. Let u(l) = 5 + 3 - 2 + 3*l**2 - 2 - 4*l. Determine x*u(h) + 12*j(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -216*t**3 - 12523*t**2 - 6*t + 6. Let h(n) = 431*n**3 + 25038*n**2 + 13*n - 13. Let l(m) = 13*b(m) + 6*h(m). Find the third derivative of l(p) wrt p.\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8160*j + 12802*j - 6862*j.\nAnswer: 14100*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -86, -206, -348, -512, -698, -906, -1136?\n\"Answer: -11*a**2 - 87*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) 1\/33 (c) 4 (d) -16\/73 (e) 3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54693 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4 - 9 + 1 + 4*s. Suppose -4*r + 0*r = 12. What is b(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*b + 3*a - 0*a, 5*a - 18 = -2*b. Suppose b*h - 10 = -10. Solve -5*o + 2*o - 9 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 43*q - 1819. Let j be v(46). Solve j*x - 170*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - 7) + (-2900 - -2900).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 418917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 26*v + 31*v + 7*v**3 - 2*v + 8*v**2 - v**4 - 2*v**4 - 9*v**2 to the form n*v**2 + s + x*v + z*v**4 + w*v**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*p = 7, -5*p = -4*g + 2*g - 21. Suppose a + g*a + 2*l = 17, a + 5*l = -3. Solve -w - 7 = v - 3*v, 3*v = 5*w + a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 27) + (7 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 2*y**2 + 112*y + 120. Determine d(-8).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19734 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 2422?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63, -64, -67, -72?\n\"Answer: -o**2 + 2*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*r + 294*r - 1232*r.\nAnswer: -1274*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmhphnp. Give prob of picking 3 p and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 39*n - 38*n + 45, 0 = 2*z + n - 11 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 9*q + 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.3 (c) -9 (d) -2.9 (e) -47.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 5)\/((-1)\/(-2)). Suppose o*j - 17 = 15. Solve -f - 4*f + 2*n = j, 10 = f + 4*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-64 - -26) + -18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 606 (base 12) to base 9\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4445361 + 2?\nAnswer: -4445356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*n - 5*b - 1, 0 = -4*n + 3*b - 11. Does 41 divide (-2 - 45\/n)\/(18\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t*t**(5\/3))\/(t**(-1\/7)*t**(-2)) assuming t is positive.\nAnswer: t**(143\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.037? (a) 3 (b) -0.5 (c) -0.4 (d) -55.1 (e) -1.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/3*f**5 - 4*f**3 - 2*f - 16\/3*f**2 + 0*f**4 = 0 for f.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206536525 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 0*k + 0*k)*(5 + 4 + 2) + (2*k - k - 2*k)*(4 + 2 - 5).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2180 + -2188. Which is the nearest to -2? (a) -2\/13 (b) q (c) 3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -3\/2*s**2 + 2*s**4 + 153 + s**3 - 3*s. Let y(k) = 95*k**3 + 35*k**2 - 35*k - 35. What is 35*n(z) - 3*y(z)?\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.3, 67, 38731\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*z - 8, -159*g + 3*z + 6014 - 1839 = -1060 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, i: 2}. What is prob of picking 1 i and 1 e?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -1 - (-1257 - -1222).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x - 3. Let q be y(-3). Let o = q + -8. Let d be (-18)\/6 + (10 - 2). Solve o*u - 6 = 3*t - 3, 0 = -d*t - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1852640, -7410566, -16673782, -29642294, -46316108?\n\"Answer: -a**3 - 1852639*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1362903623 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = 0, -6*n - 3*k + 91 = -2*n. Suppose -2*d + n = 2*d + x, -4*x + 4 = -2*d. Sort -4, d, -2, 3.\nAnswer: -4, -2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 145003766, 290007532, 435011298?\n\"Answer: 145003766*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 457 - 249. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10154 - 50*s + 0*s**2 - 5079 - 5075 + 2*s**2 to the form l + p*s + f*s**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 - 11 = -5*k, 0 = 5*d + k - 30. Calculate the remainder when -52*30\/20*2\/(-6) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10350, -41318, -92952, -165252, -258218, -371850?\nAnswer: -506148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/10)\/(k**(-2\/9)\/k) assuming k is positive.\nAnswer: k**(137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22227465*q**6 - 12193252*q**2 wrt q.\nAnswer: -2667295800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 171 (base 8) to base 3\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + k + k)*(703*k - 558*k + 2 - 374*k) to the form q + g*k**2 + o*k and give o.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from {p: 2, x: 1, c: 3, q: 3, m: 1, h: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36251766 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3532.778nm to micrometers.\nAnswer: 3.532778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 6*d**2 - 7*d + 2. Let m be u(-7). Suppose -5*t = 2*k - 103998, 0 = -m*t - 4*k - 19668 + 61264. Round t to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5433 - -5?\nAnswer: -5427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -q - 13, -3*q + 15 - 3 = 0. Calculate the remainder when 66 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t + 16*t - 392 = 0. Calculate the greatest common factor of t and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m - 1. Let d be y(4). Let w = -1072\/2805 + -10\/561. Which is the closest to 0.3? (a) d (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 11*q - 6. Let w be n(-10). Suppose -w*r + 0*r = -4. Let k be (2\/(-6))\/(2\/(-30)). Put r, k, -4 in descending order.\nAnswer: k, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**2. Let z(q) = 30*q**2 + 149626 - 149626. Calculate a(z(y)).\nAnswer: 10800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, r: 1, v: 2}. Give prob of sequence vf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 44691*c - 44585*c - 2 - 4*c**2 in the form n*c + b + p*c**2 and give n.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 119*c + 1 - 27*c)*(-5 + 0 + 2).\nAnswer: 438*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 51. Differentiate 38*g**p - 12*g**2 - 18 - 8*g**2 with respect to g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**32\/p)\/p)**(-30\/7)*p\/p**(2\/55)*p\/((p*p**(-1\/34))\/p) assuming p is positive.\nAnswer: p**(-1656911\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3\/4 + 435*h**2 + 252639*h\/4 - 63595 = 0.\nAnswer: -1580, -161, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 341620 to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-612)\/(-459)*1287\/2 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*(-20)\/110*(-9)\/204?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 1936 = -b. Let c = -83 - b. Does 35 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 2*i + 1, -20 = -4*m - 2*i. Suppose 0 = m*x - x - 16. Solve 2*j = -2*a + 6, -3*j + x = -3*a + 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -22*w. Let x(u) = 6*u**2 + 2. Let j(t) = t**2 + 1. Let c(m) = 6*j(m) - 3*x(m). Give h(c(p)).\nAnswer: 264*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.95 + -32.95. What is the nearest to g in 3\/13, -2, -0.2, -4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15680 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33667 is divided by 235.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*i**4 - 46*i**2 + 2020.\nAnswer: 60*i**3 - 92*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -47*m**2 + 27*m - 28. Determine o(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 925?\nAnswer: -462.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 26. Suppose 4*y - t = -5. Suppose -5*l - 576 = -3*q - y*l, -5*l - 5 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 7:46 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 - 3602270*h**2 + 100867345*h - 97265070 = 0. Calculate h.\nAnswer: -720482, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -42*p + 1. Let m be n(6). Let y = -120 - m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235840.8441 - 25.7?\nAnswer: 235815.1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -236 + 226 + 25 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - h. Let z be r(1). Let o be 1\/(1\/(-9)*z). Suppose -q = o*q - 4. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(441) - 4*-3*sqrt(441)))\/(5*(-5*(sqrt(63) + sqrt(126)\/sqrt(2)) + sqrt(63) - sqrt(63))).\nAnswer: -13*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:13 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-528)\/585 - 9)*(1 - -17)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 143\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21113, 20986, 20859, 20732?\nAnswer: 20605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*s + 58*s + 4814 = 71*s for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y. Let g be r(5). Suppose -3*u - 2*u + g = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13803.\nAnswer: 3, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*n**2 - 13*n**2 + 5*n**5 - 2*n**5 wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x + 2*x**3 - x**2 + x - 2*x. Suppose -5 = -5*r, -8*r + 3 = -s - 3*r. What is the remainder when 12 is divided by n(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7276*z**2 + 4489*z + 12. Let t(h) = -7277*h**2 + 4488*h + 10. Let y(r) = -6*t(r) + 5*w(r). Find the second derivative of y(p) wrt p.\nAnswer: 14564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 4. Let n(y) be the third derivative of y**4\/12 - y**3\/3 - y**2. Let p be n(2). Let t be 2*(2 + -1) + p. Give g(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let f be 25\/(-35) - 2\/7 - -22. Suppose 3 - f = -i. Let b(y) = 4 - 4 + 6*y - i*y. Give b(q(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*i + 12*i + 13*i)*(12 - 12 - 7*i) - 3*i**2 + 4 - 4.\nAnswer: -402*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 861\/45 + 10\/(-75). What is the first derivative of 599*r - 647*r + n + 46 wrt r?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.35 in -1, 2\/15, -0.2, -3.769, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 3*l**2 + 0*l**2 + (0*l + 2*l - 7*l)*(3*l + l - 6*l) - 3*l**2 + 6*l**2 - l**2)*(1 - 3 + 4).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131695524, -131695529, -131695534, -131695539, -131695544, -131695549?\nAnswer: -131695554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111101000 + 10010?\nAnswer: -111111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4705 - 1505 = -207*k. Solve -274 = -61*o - k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103, 209, 327, 463, 623, 813?\n\"Answer: f**3 + 99*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40658.963 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {v: 4, t: 5, x: 1, d: 6, o: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 7*g - 2*g)*(7121*g - 14234*g - 442 + 7109*g).\nAnswer: -16*g**2 - 1768*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 15 + 31 + -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 339880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -1, 11 in ascending order.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: be1 (base 15) to base 9\nAnswer: 3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -7 - (-62 + 60) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let x(c) = -c**2 - 8*c - 7. Let m be x(-6). Suppose -20 = -0*g - m*g. Let k(o) = -g*o + o + 2*o. Calculate k(b(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wveq when four letters picked without replacement from {w: 2, e: 1, v: 2, s: 5, q: 2, b: 1}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 17033232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - 0) - (-1 + 45 + -9 - -35).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = -10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2134, 4226, 6304, 8362, 10394, 12394, 14356?\nAnswer: 16274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/24 - 40*v**2 - 23*v. Let x(d) = 145*d**2 + 11*d. Give o(x(g)).\nAnswer: -145*g**2 - 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3847*j**3 - 473*j**3 - 108*j**3.\nAnswer: -4428*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*z - 2*q + 1660, 0 = 4*z - 5*q - 1628. What are the prime factors of z?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 15 (b) 1\/2 (c) 3\/38 (d) -2\/2327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -99, 4, 0, 1 in decreasing order.\nAnswer: 4, 1, 0, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6897 - -535?\nAnswer: -6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 1 + 0 + 17*k - 10*k. Let d(y) = 93375*y - 45. Let p(b) = 5*d(b) - 200*h(b). Let l be p(3). Round l to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 74*q**2 + 3*q + 234. Let x be s(-74). Solve x*m - 89 = -137 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61915 and 580.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 47*d + 17. Give b(-22).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/7 + 10908*x**3\/7 + 87162*x**2\/7 + 141608*x\/7 + 9336 = 0. Calculate x.\nAnswer: -5446, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9627434*g**3 - 35553 + 9627433*g**3 + 35553.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*(-15)\/(-45)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7802*f - 10. Let l be v(5). Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*3\/(-1)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5720500 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)\/sqrt(4))\/(1*sqrt(300)) + 1.\nAnswer: 1 + 11*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 47 - 2. Suppose u = -3*p, 0 = 3*l - 0*l + p - 1. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o + 21. What is y(-6)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/19 + -25\/57. What is the third biggest value in 4\/5, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*a - 21, b - 5 = -2*a + 4. Suppose p + 17 = -0*q - a*q, -2*p + 4*q = -26. Suppose 7 = -p*n + 55. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 349547826.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-3)\/63*28\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1265916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -88*y + 0 + 1\/12*y**4 + 0*y**3 + 0*y**2. Let x(b) = 2*b**2 - 3. Calculate x(k(i)).\nAnswer: 2*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -59324527650 to the nearest 1000000.\nAnswer: -59325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 3 + -2 + (sqrt(1700) - 3*sqrt(1700))**2 + sqrt(1700) + (-4 + -2*sqrt(1700))*6).\nAnswer: -220*sqrt(17) + 13554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(-1)*((-1039311)\/(-702))\/(-329).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.4388\nAnswer: -1.7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/(sqrt(490)*1).\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305 - -3?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 5*s + 7 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -5*t**9\/504 + t**6\/9 - 22*t**3\/3 + 47. Let n(b) be the third derivative of o(b). What is the third derivative of n(m) wrt m?\nAnswer: -1800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/20 - 7*q**4\/12 - q**3 - 4*q**2 + q. Let j be y(-7). Let s = j - 21. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v + 1. Let l(g) = -2*g**3 - 3*g**2 - 4*g. Let x(t) = 4*t**3 + 6*t**2 + 8*t + 1. Let o(k) = -11*l(k) - 6*x(k). Give -o(p) - 4*y(p).\nAnswer: 2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24\/19, -4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 46.206852.\nAnswer: 46.706852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.182 - -0.2532. Let v = -0.076 + y. What is v rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166853 at most -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-154)*7 + (-126)\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8963 - -8964.2. Which is the closest to g? (a) 5 (b) 5\/3 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-10 - -3 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.9 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 205\/4 in 4, 8, 85, 1\/2?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1363594 and 3.7.\nAnswer: 5045297.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16131 * 120.05\nAnswer: -1936526.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -3\/7, 4, 6.73 in ascending order.\nAnswer: -3\/7, 4\/5, 4, 6.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 2. Let f(d) be the second derivative of -d**3\/6 - d**2\/2 - d. Let n(i) = 3*f(i) - k(i). Give n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 89723 + -73?\nAnswer: 89680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 444 + -440. Solve 5*p = p + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 54, 115, 200, 309, 442, 599?\n\"Answer: 12*y**2 + y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 7*d**2 - 2*d - 14. Let o be p(-7). Suppose -5*z + 69 + 16 = 0. Suppose o = 5*f - z - 18. Solve -4*v = -f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2191772040?\nAnswer: 2, 3, 5, 18264767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491, -1168, -2039, -3104, -4363, -5816?\nAnswer: -7463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 10*r**2 + r + 1. Calculate x(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjyt when four letters picked without replacement from tyjyjjqyyyjytytyyqw.\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/5 + 399*x**2\/5 - 2026*x\/5 - 2424\/5 = 0. What is x?\nAnswer: -404, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.17 - -29.1. Let o = -0.07 - h. Let i = o - 2.3. Which is the nearest to 0.1? (a) -2\/13 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c = -2*c - 7*c. Let k(n) be the third derivative of 0 - 5*n**2 + 0*n**3 + 0*n**4 + 1\/30*n**5 + c*n. Factor k(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1841.82 and -0.6?\nAnswer: 1842.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*f = 931, 3*g - 5*f = -4*f + 1377. Let n = g + -156. Suppose n = 4*v + 7*m - 2*m, -4*v + 310 = m. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1794 - 1538 = -66*t + 1760 + 1994 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 26455070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41429226 a multiple of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156025729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 12*t. Let b be k(6). Suppose b*r + 36 = 4*r. Suppose 5*q - s = -2*s + 1318, 3*s = r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.46 + 25.76. Let g = -8.2 - -1.2. Which is the smallest value? (a) g (b) 0 (c) 3\/2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**2 - 355*l + 1100.\nAnswer: 5*(l - 20)*(3*l - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + g**2 - g - 400000. Suppose y = 4*u + 2*y + 3, 4*u = y + 3. Let z be h(u). Round z to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -52*b**3 + 2*b**2 + 3*b - 3. Let h be j(2). List the prime factors of h\/(-11) - 36\/(-198).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59468 divided by -11.\nAnswer: 59468\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**2 + 23*l + 259. Let m be o(-7). Does -3789\/11 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -0.03977 (c) -12 (d) -0.3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.673 + 19.7.\nAnswer: 33.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 105*m + 117 + 4 = 0, 4*m + 20 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-64)\/(-6) - (-1)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -1355\/38?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 5 - (-354 - 2). Calculate the highest common factor of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -9204?\nAnswer: 9205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((-94)\/(-46) + -2). Let t be (2\/8*22)\/((-1)\/6). Let r = t - -56. Calculate the greatest common factor of y and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2062, 2060, 2058, 2056, 2054, 2052?\n\"Answer: -2*q + 2064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3899, -1, 2\/3, 2, 1\/32 in descending order.\nAnswer: 2, 2\/3, 1\/32, -1, -3899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -21941.5861 to the nearest 100.\nAnswer: -21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*y*z - 213*y - 1702*z + 804 wrt z.\nAnswer: -5*y - 1702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*q**2 + 1065*q**2 - 351*q**2 - q**3 + q - 357*q**2 in the form d*q**2 + g*q + u*q**3 + y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 52*q + 54. Let d be p(23). Suppose -b - 2*r = -r - d, 5*r = 4*b - 2866. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, 1, 41, 101, 187?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2120 - 2119.9887375. Round o to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201221122 (base 3) to base 11\nAnswer: -aa21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*c - 62 = 4*c, -c = i - 18. Solve -15*g + 3*f = -i*g + 19, 5*g + 4*f = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**4*j - 2487279*b**2*j + 6*b + 22670736*j wrt b?\nAnswer: -48*b**2*j - 4974558*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10.457093*0.2\nAnswer: -2.0914186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 5*l - 4527, -2*s - 4*l + 9054 = 0. Is s\/18 - (-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.12 + 7. Let o = 0.14 - z. Let j = o - 0.355. Round j to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 188 - 164. Suppose -1 + 9 = -p*n. Let g = -25\/39 + 4\/13. What is the nearest to n in 5, g, 0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2459)\/((-7 - -3) + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 4*n**2 + 2*n - 6. Let z be r(4). Suppose z*s - 6 = -5*g, -g = -5*g - 4*s. Let h = 57 - 34. Solve 3*y = 3, 5*m = 4*y - g*y + h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11272 is divided by 3476.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -o + v + 36, 121 = 2*o - 3*v. Calculate the greatest common divisor of o and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 15*u + 22. Let v(n) = 11*n**3 - 3*n + 2. Let q be v(2). Suppose -4*c = l + 4*l + q, 0 = -l - 4. Let j be i(c). Solve t - 1 = -j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-16925\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/33 + (-831)\/33. Let m = 36 + c. Calculate the remainder when 19 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 + -151. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9715?\nAnswer: 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40261729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + c - 7)*(432*c - 5244 + 5244) to the form u*c + l*c**2 + p and give l.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 5:23 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1240*p**2 - 5 - 7 + 12 in the form i*p**2 + c*p + g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 4, v: 2, l: 1}. Give prob of sequence mzlm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819342.7 years to centuries.\nAnswer: 8193.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 2, -2\/11, 0.4, 1.9, 5\/9, -2\/23?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * -1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93291028 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 2. Let s(q) = -q**2 + 12*q + 16. Let p(g) = -5*b(g) + s(g). Determine p(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iihiihhhi. What is prob of sequence ii?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + 4 - l**3 + 2*l**4 + 2*l - 7 + 2 to v*l**4 + s*l**3 + x*l + f*l**2 + h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13308 divided by -7?\nAnswer: -13308\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**7\/42 - 18*w**5\/5 - 7*w**4\/4 + w**2\/2 + 182*w. What is the third derivative of b(y) wrt y?\nAnswer: -60*y**2 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 482, 566, 650?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a3459 + -1?\nAnswer: -7a345a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*-2*(-781)\/22. Suppose 3*r = -239 + x. Does 13 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -312 + 12.16.\nAnswer: -299.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 3:59 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:29 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 611\/1833 - (-2 + -4 - (-11355)\/1800).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 4191*a**7\/70 - 747*a**3\/2 - 374*a**2 + 2. What is the first derivative of s(o) wrt o?\nAnswer: 50292*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561\/11220 - (-1723)\/(-60) - 2*-11?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -6)*(0 + 0). Let n = 9 - 8.5. Let g = 127 + -125. What is the nearest to -1 in c, g, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-215*r + 3 + 204*r - 2)*(-2*r + 3 - 3) + (-r + 2 - 2)*(-34 + 34 + 4*r) in the form g*r + x + a*r**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 289 + 136 = 0. Let o(j) = 12*j**3 + j**2 + j + 4. Let w be o(4). Let h = k + w. Round h to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9625475.\nAnswer: 5, 521, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4247, 8492, 12737, 16982, 21227, 25472?\nAnswer: 29717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 312 - 164. Let a = 223 - s. Let m = a + -75.0041. What is m rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, k: 5}. Give prob of sequence ukku.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 102. What is the highest common divisor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1878*x - 191563. Give c(102).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16\/7)\/u**(-21)*(u*(u**32\/u)\/u)\/(u**(-10)\/u))**(1\/9) assuming u is positive.\nAnswer: u**(425\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -338*t - 3034. Let h be b(-9). Solve -z - 10*o - 4 = -7*o, 2*z = 2*o - h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2. Let q(j) = -6*j + j + 0*j. What is q(n(k))?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 24*y. Suppose 3*n - 60 = -0*n. Let k(q) = -q. Let d(x) = n*k(x) + 2*a(x). Let t(u) be the third derivative of u**4\/12 + 386*u**2. What is d(t(h))?\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9341763.\nAnswer: 3, 3113921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 3*g - 19. Let l(w) = w**2 + 1. Determine l(h) - r(h).\nAnswer: 2*h**2 + 3*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (162 - 14*y - 162)*(2*y - 3*y - y) + 3*y**2 + 3*y**2 + 0*y**2 to z*y + f*y**2 + g and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 4\/(-8)*(-1 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 - -0.6. Let r = -34.9 + 39.9. What is the second biggest value in 0.2, g, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3295 = -5*f, -5*f - 2699 = -7*z + 3*z. Calculate the greatest common divisor of z and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 8*z**2 + 12*z - 187. Let f be u(9). Suppose 0 = 3*v + 5*r + 13, 0 = -5*r - 10 - 0. Sort v, f, -7, -5.\nAnswer: -7, -5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3267332 (base 9) in base 15?\nAnswer: -24a992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -546\/638719?\nAnswer: -546\/638719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*n + 21*n - 5*n**3 + 18*n + 2 + 19*n to m*n**2 + u + h*n**3 + j*n and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 - -11101111010001?\nAnswer: 11101110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 49, 76, 103, 130, 157?\n\"Answer: 27*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1024*l - 12285. Let n be m(12). Solve 2*s + 9 = -s - n*g, 3*s + 9 = 3*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 14. Solve 0 = -d*j + 9 + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.600775 - -50.6. Round b to five decimal places.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, 4, -202 in decreasing order.\nAnswer: 4, 3, 1, -5, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 13 = -5*b, -2*y = -7*y + 5*b - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -11, 148\/163.\nAnswer: -11, 148\/163, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 0.024\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*-1 - (8 + -10). Which is the second biggest value? (a) 1\/5 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 58. Let s = -43 + o. Is 14 a factor of 167*(5\/(-5))\/(0 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a99 (base 11) to base 2\nAnswer: 10100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -6*g + 3*g + 3*n, -2*n = 4*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*8*(-6)\/(-20). Let u be -2*6*(-3)\/a. Let f(w) = -w**3 - 2*w**2 + 2. What are the prime factors of f(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/112 + 3\/7. Let x(o) = -o**3 + 2*o**2 - 1. Determine x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241327*h + 5*v - 22 = 241331*h + 102, -122 = 2*h - 5*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpppruppprppcdxrdc. What is prob of sequence xc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p - 4*d - 29, 11 = -3*p - 4*d. Suppose -p*n + 2 = -7. Suppose 0 = 4*m - 14 - 10. Sort -3, m, n.\nAnswer: -3, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42374, 42360, 42346?\nAnswer: 42332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = 4*p. Let m be 0 + (0 - (1 + p)). Suppose m*o + 2 = -4*a, -2*o = -2*a - 7*o - 13. Solve -q - a = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, u: 3}. Give prob of sequence kkku.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * 0.03.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.9466 plus 0.1?\nAnswer: -91.8466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 63. Let r = -32 - -52. Calculate the greatest common divisor of y and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.664784944 rounded to three decimal places?\nAnswer: 0.665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 4*f**2 - 3*f**2. Let w(g) = 123*g - 10. Let o(p) = -95*p + 8. Let c(y) = 5*o(y) + 4*w(y). Give c(i(a)).\nAnswer: -102*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h**3 + h**3 + h**4 - 2*h**4 - 3*h**3. Let j(d) = 15*d**5 - 24*d**4 - 18*d**3 + 18*d**2. Let x(z) = 18*a(z) - j(z). Factor x(r).\nAnswer: -3*r**4*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 8*h**2 + 3)*(7 + 6 + 2)*(3 + 1 - 1) to the form r + s*h**2 + v*h and give s.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 25. Suppose 6 = t*g - 12*g. Find the first derivative of -374*o - 7 + 374*o + 2*o**g wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14577 and 13560.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*o + 27363, 3*k = o + 1647 + 14747. Is 66 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(75\/9))\/((-28)\/20).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 12, -24 = 4*h - 4*i. Put 3, h, -5 in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.2. Let n = 6.2 - -1.8. Let p = n - 4. What is the nearest to -1\/2 in s, -3, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16 - 1)*(-3)\/(-5). Let b be (3 - k)*2\/(-3). Suppose 0 = -0*x + b*x. What is the nearest to -1 in x, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyy. What is prob of sequence yyj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12600815 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1578 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 21. Let z be ((-15)\/(-3) - -2)\/(6\/66). What is the highest common factor of f and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -677.\nAnswer: 3\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (19 + (-4 - 17))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:57 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6396*i**3 - 6*i**2 - 2419*i. Let k(r) = -6394*r**3 - 4*r**2 - 2419*r. Let f(d) = 2*g(d) - 3*k(d). Find the second derivative of f(l) wrt l.\nAnswer: 38340*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220563 (base 8) in base 5?\nAnswer: -4332344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 31 = -b, 5 - 4 = b + 4*t. Is 230\/(-1)*(b\/(-6))\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000010011111 (base 2) in base 5?\nAnswer: 231401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88058 divided by 62\nAnswer: 44029\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 101 = 2*q - 0*q, -2*c - 4*q + 26 = 0. Let r = c - 11. Suppose 6*v - r*v + 254 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 765 - 764.7. Which is the nearest to -26? (a) 5 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g)**1\/(g**(-3\/7))**(-3\/7) assuming g is positive.\nAnswer: g**(-156\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (66 + 27 + 8)*(0 - 3 + 1)*(n**2 - n**2 + n**3) in the form h*n**3 + d*n + y*n**2 + a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.99864 + -36. Round k to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j - 3*j + 3*j)*(4 - 1 - 2) + (2 + 0 + 0)*(-2*j + 0*j + 4*j) to the form u*j + r and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-1288)*(-6)\/5\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(1 - m - 1)*(-1 + 1 + 1).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2492?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499843559 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-161)\/(-14) - 9)*8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1 + 4)**2.\nAnswer: -56*sqrt(3) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 97*o**2 + 293*o + 5. Let v be l(-3). Which is the closest to 2\/3? (a) -5 (b) 13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 + 5*u - 5. Let w = 1 - -5. Let s(a) = -9*a**2 + 6*a - 6. Let f(z) = w*n(z) - 5*s(z). Let i(x) = -3*x**2 - 638 + 638. Calculate f(i(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.4, 4, -61382666?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.52 take away 54316486?\nAnswer: -54316609.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.134507, 0, 1, 5, -1?\nAnswer: -0.134507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 35*f**2 + 37*f + 12. Let a be n(16). Let g = 159 + a. Let h be (-1816)\/312 - (-2)\/13. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2 + 22*u**2 - 44*u**2 - 2 + 74*u**2. Let g(l) = -3*l**2. Determine g(b(i)).\nAnswer: -8112*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -40.3. Let k = s - -2.299985. What is k rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*a**3*b**2 + a**3*b + a**2*b**2 - 21*a*b**2 - 3*a*b + 259*b wrt b.\nAnswer: -398*a**3 + 2*a**2 - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-823 - -821) + -6 + 6 + -50.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 9:49 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94707568?\nAnswer: 2, 37, 159979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3746, 7510, 11274, 15038, 18802?\nAnswer: 22566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8760.9688 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7306 by -6709.\nAnswer: 7306\/6709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-150))\/(3\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2 + 23*k + 23. Determine s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31960 divided by -68?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -38. Let o be ((-2)\/x)\/(1\/(-2)). Solve -o*m = -2*q, 3*q - q = 2*m - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 1. Let i(l) = -l**3 + 2*l**2 - l. Let s be i(2). Let z(x) = -x**3 + x - 1. Determine s*z(g) + 2*q(g).\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 less than -1201?\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - w + 4*w + (2 - 2 - 2*w)*(17 + 8 - 4) + 3*w - w - 3*w + (-4 + 0 + 2)*(3*w + 0*w - 5*w) + 2*w + 7 - 7 as p + m*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192555.\nAnswer: 3, 5, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1230 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 181351.877?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/4 (b) -3 (c) 0.08 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 4*y**2 + 24*y + 99. Let g be r(-4). Let q(i) = i**2 + i + 1. Let j(p) = -5*p**2 - 1. Give g*q(t) + j(t).\nAnswer: -2*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*(-890)\/178?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1161, 979, 485, -477, -2063, -4429, -7731, -12125?\n\"Answer: -26*l**3 + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w**2 - 16*w**4 - 8*w**4 + 8*w**2 + 54*w**4 - w + w**3 - 20*w**2 in the form t + k*w**4 + u*w**2 + l*w + b*w**3 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 + (-3795)\/(-77) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 18*q**3 - q. Suppose -7 - 3 = -4*l - y, 0 = 4*l - 3*y - 18. Suppose 3*t = 24 + l. Calculate the remainder when p(1) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c - 12. What is the tens digit of u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/(-1)) + -10 + 40 + -45. Suppose -52 + 4 = 2*n - 3*q, 4*q - 16 = 0. Let r = i - n. Solve -5*y - 3 = 2*j, 5*j = -r*y + j + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 3*p + 3*p)*(-1 + 4 - 5)*(-3 + 1 + 5)*(0 - 2 - 5)*(0 - 4 + 8) in the form d + u*p and give u.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 607*r + 58 = 605*r, 2*w + 12*r = 52 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13196452.\nAnswer: 2, 31, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, p: 5, b: 5, o: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -5*j**5\/6 - j**3\/2 - 39*j**2 - 16. Let t(h) = -49*h**2 - 4. Determine 4*o(i) - 3*t(i).\nAnswer: -53*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 86?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4998154609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -15. Factor 8*a**2 - 4*a - z*a**4 + 6*a**5 - 6*a**5 + 4*a**5.\nAnswer: 4*a*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 2067 = -2073 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/4 + 306243*j**3 + 31260979191*j**2 - 125047591704*j + 125048816688.\nAnswer: 3*(j - 2)**2*(j + 204164)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1 (b) 5 (c) -11 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 2*r**3 + 2*r**3 + (-2*r**2 + 4*r**2 - 3*r**2)*(-24 + 20*r**2 + 24).\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 14 = -0*b. Let u = b - 18. Let c be u + (3 - 5) + 0. What is the second biggest value in c, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5889478 divided by 1.\nAnswer: -5889478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 and (183\/(-6))\/((-18)\/4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2492, -4978, -7464, -9950?\n\"Answer: -2486*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(2*sqrt(4)) + sqrt(5) + -3.\nAnswer: -3 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98461001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 5:24 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745.2 - -0.11.\nAnswer: 745.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 35 = -4*y, -25*y + 14 = -26*y + 2*t. Solve y = 5*m, 6*v = 3*v + m + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -42640*i - 85282. Give l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsssssqssssssqssqqs. Give prob of sequence qq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(10\/9)*w**(-2\/97)*w*(w*w**(1\/7))**(-32) assuming w is positive.\nAnswer: w**(-210713\/6111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*c + 165 - 168 = 0, 4*h = -4*c + 24 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*6 - 1. Suppose 5*t = -b*q + 57 - 7, t + 4*q = -7. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 1\/60*q**6 + 0 - 1\/8*q**4 + 1\/3*q**3 - 1\/30*q**5 + 55*q**2 + 0*q. Calculate b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/32 + (-905)\/40. Let c = 553\/20 + r. Find the common denominator of (-2)\/22*31\/2 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v + 4*v**2 + 15*v**2.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1142.191606848 + 678.191606847. Let y = 464 + v. Round y to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 85. Let v = 0 - 2. Let z(w) = -6*w**3 - 3*w**2 - w. Let g be z(v). What is the greatest common divisor of l and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.765833 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 - -0.4587?\nAnswer: 1294.4587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (574\/82)\/((-93)\/(-124)*(28\/186)\/1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.43755 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 2*p - 1. Let s(u) = -25 + 4*u**2 + 6*u + 27 - 2*u. What is -3*s(x) - 5*v(x)?\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -329*m - 416. Let i be a(-13). Calculate the highest common divisor of 3267 and i.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -499, -2865, -9073, -21043, -40695?\n\"Answer: -320*w**3 - w**2 - 123*w - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-17)\/6 + ((-96102)\/(-52668) - 1)?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(-2)\/3. Let p = 6 - z. Let w(u) = -u**3 + 4*u**2 + 6*u. Calculate w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17630 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffrrffffffff. Give prob of sequence rfrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2\/11 (c) 0.1 (d) 148788 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*-12*1\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/((n*((n\/(n\/((n*n**(-2\/7)*n)\/n)*n))\/n)\/n)\/n)*n\/((n**(1\/4)*n)\/n))\/(n**(-1\/4)\/n)**2*(n*n\/(n**4*n)*n**(2\/5)\/n)\/(n**1)**12 assuming n is positive.\nAnswer: n**(-989\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-16)\/236) + 2\/8. Suppose -8*m = -z*m + 28. Solve 4*v + 0 = m*c - 4, 2*v - 33 = -5*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(-11*12\/(-1056))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - -2) + (3 - 9). Factor -x - 31*c - 3*c**2 + 25*c + 10.\nAnswer: -3*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = a. Suppose -5*g + a = -10. Suppose -g*h + 0*h**2 + 3*h + 2*h**2 = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaj when three letters picked without replacement from {v: 1, m: 1, a: 2, j: 2, g: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (6\/(-4))\/(5\/10). Let a be 3 + (4 - (h + -2)). What is the nearest to 1\/3 in -0.2, a, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 34393.1.\nAnswer: 34393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1128299 to three decimal places.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 3*h**4 + 0*h**4 + (-15*h**2 + 45*h**2 + 0*h**2)*(-98 - 18*h**2 + 98).\nAnswer: -541*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 4 - 22. Suppose 4*u = c*v + 19 + 7, 9 = u - 2*v. Suppose -4*d = -u*d + 63. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 20 = 4*q, 3*d - d = 5*q + 17. Calculate the common denominator of (-1)\/d*166 + 3 and 127\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-27)\/12) + (-3)\/24. Which is the fourth smallest value? (a) 2\/11 (b) o (c) -3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234625\/525 + -2 + (-176)\/(-84)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 3, k: 6, c: 4}. Give prob of picking 1 c and 1 k.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + 1339123156\nAnswer: 1339123155.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 5\/56*m**7 + 3\/80*m**5 + 4*m + 0*m**3 + 0 + 0*m**2 + 1\/5*m**6 - 1\/8*m**4. Factor p(g).\nAnswer: 3*g**2*(g + 1)**2*(5*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2 + 3 + 2*j - j**2 + j - 2 + 6*j**3. Let b(k) = 11*k**3 - k**2 + 5*k + 5. Let d(s) = -3*b(s) + 5*z(s). Find the third derivative of d(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 7)*(-2*w**2 + 1 + 5*w**2 - 2*w**2 + w) to the form h*w**2 + s + j*w and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from zczzbzzzbczzzccf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132512?\nAnswer: 2, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4\/5, 0.4, -17, -10\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 + 101.000047. What is a rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(2\/6)\/(11\/(-33)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -8\/7*z - 4\/7*z**3 - 17 + 9\/7*z**2 + 1\/14*z**4. Determine m so that y(m) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-9 - -3) + (4 - 3) + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**5 - 4*o**5 + o**5 + (3*o**5 - 4*o**5 + 3*o**5)*(-3 + 2 - 10)*(-2 + 1 + 10) + o**5 - 3*o**5 + 0*o**5 + (-2*o**4 + 2*o - 2*o)*(-3*o + 3*o - 2*o).\nAnswer: -194*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 221914 + 1079?\nAnswer: 222993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*p - 207, -6*f + 2*p = -4*f - 192. Suppose f*n - 107*n = -432. What is the remainder when 197 is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.24 and 0.92?\nAnswer: 4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 31*t + 2. Let c be q(1). Let g(y) = 1 + 64*y**2 - 5*y**3 + 2*y - 34*y**2 - 2 - c*y**2. Let f(h) = 9*h**3 + 5*h**2 - 3*h + 1. Give 3*f(r) + 5*g(r).\nAnswer: 2*r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426799265.\nAnswer: 5, 85359853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5017307657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0, 18, 1\/10, -6\/7, -10, 0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11338 is divided by 1565?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15053.4688 + -0.04724.\nAnswer: -15053.51604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 1\/48*o**6 + 0*o**4 - 1\/60*o**5 + 0*o + 0 + 0*o**3 + 1\/60*o**7 - 30*o**2. Suppose m(k) = 0. Calculate k.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5761875 + 4585.\nAnswer: -5757290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q. Suppose 4*t + 5 - 1 = q. Let o(r) = r**2 - r + 2. Let l be o(2). Sort l, 5, t in descending order.\nAnswer: 5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84935 by -6.\nAnswer: -84935\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600128 - 6*z**3 + 600128.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 21. Suppose -a = -0*g - 4*g. Suppose -4*b - m + 6 = -2*b, -g*b + 4*m + 16 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3705 + 3650.65. What is i rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-130)\/(-25))\/(1\/5). Solve -3*o + 29 = -5*y, -2*o + t = -y - 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 0*l**4 - 3*l**4 + (-l + 3*l - l)*(2*l**3 - 3*l**3 + 3*l**3) to u*l**3 + n*l**4 + h*l + z*l**2 + j and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5711834455 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -3, 0.4, -4\/7, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257701 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -4303?\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9781 - 9635. What is the remainder when i is divided by 118?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*t = -10*t + 25, -5*t = 3*u - 13. What is the tens digit of 112\/u + (-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-w**4 + 3*w**4 + w**4)*(0*w + w + 4*w).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -421*c**3\/2 - 2346*c**2 + 4409*c. Differentiate g(o) wrt o.\nAnswer: -1263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 741*z**3 - 742*z**3 - 105*z + 75*z**4 + 104*z to the form u*z**3 + d*z**4 + w*z**2 + h + s*z and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 203*u - 5404. Calculate the smallest common multiple of x(127) and 59.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 35*m**2 + 47*m - 187. Let n be v(-19). Solve 5*u + 20 = 2*y - 6*y, 4*u - 15 = n*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = a - 25, r + 3*a = 3*r + 7. Suppose 0 = 3*q + 4*u - 16, 3*u - 11 = r*q + 1. Solve b + q*b - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2799, -0.5, 2, -189, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.9785 centuries in millennia?\nAnswer: 11.59785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**4 - 3452*d**3 - 743032*d**2 + 753408*d + 1492992 = 0?\nAnswer: -432, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 3096?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 47. Let z be t(-22). Suppose z*x + x = 8. Solve -2*v + 16 = x*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26054803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (sqrt(9) + sqrt(54)\/sqrt(6) + sqrt(9)))\/sqrt(3) - (sqrt(75) + -2)) + -3.\nAnswer: -7*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-21))\/((-8)\/14) - (-7)\/(-14). Solve 5*b + 3*k = -27, 4*b - l*k = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -62. Let n(u) = -u**2 - 49*u - 150. Is 8 a factor of n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2. Let g be q(1). Let z be 3\/12 + 13\/g. Let a(u) = 2*u**3 + u**2 + 2*u + 2. Let o(h) = -h**3 - h**2 - 1. Let l(y) = a(y) + 3*o(y). Give l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 + g**4\/8 + g**3\/2 - 5*g**2. Is j(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32979 + 274.\nAnswer: 273.67021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 125971992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2537*o + 105*o + 7 + 2042*o.\nAnswer: 4684*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 8. Let b be ((-34)\/o)\/(4\/(-6)). Let l = b - 17. Is l <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 + -118. Suppose 25*b = 24*b + 7. Suppose -3*g + b*g = 4. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 12) in base 10?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16528 - -16529. What is the closest to 1\/8 in 0.4, -0.152, i, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2.325, 3\/7, -9, 0.02?\nAnswer: -2.325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/(-9768))\/(455\/546)*2\/(-4)?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1 + 8*o**3 - 7*o**3 - 6*o**3 + o**2 + o. Let a be p(1). Let u(y) = -y**3 - 3*y**2 - y - 11. Is 9 a factor of u(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 13*k + 59. Let x = -473 + 491. List the prime factors of l(x).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1825*g - 1829*g - 2 = 3*f - 7, -119*g - 2*f = 462 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135448, -270897, -406346, -541795, -677244?\nAnswer: -812693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*z + z + 424, -k + 4*z - 89 = 0. Let y = k - -1367\/13. Which is the nearest to 0? (a) -2 (b) 2\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416823.528 rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 188\/21*s - 2\/21*s**2 + 190\/21 = 0.\nAnswer: -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1908 divided by 4\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*c + 122 = 32, 3*k + 54 = -4*c. Let l = 8 + k. Suppose 14 = -2*s - 8. Is l at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47592)\/(-37016) + -1 + 2 + -1?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15*c*c*((c**(9\/4)*c)\/c*c*c)\/c*c assuming c is positive.\nAnswer: c**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1541784, -2, -6, -3, 0.\nAnswer: -6, -3, -2, -1, 0, 1541784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 2*k + 2*k)*((2 + 3 - 4)*(2 + 6 - 3) - 2 + 2 - 3)*(2 - 2 - k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1)\/z))**(1\/3))**26\/(z**(-2\/9)*z**(-11)\/z)**(-6) assuming z is positive.\nAnswer: z**(-142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1954, 3913, 5874, 7837, 9802, 11769, 13738?\n\"Answer: r**2 + 1956*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - p + 1. Let m be g(0). Let l = 2.92 - 3.02. What is the nearest to l in m, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -111 + 120 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 3*y**2 + 2*y + (-y + 0*y + 2*y)*(y - y + y) + 2*y**2 + 3*y**2 - 7*y**2 - y**2 + 5*y**2 - 2*y**2 + 186*y + 132*y**2 + 186*y - 370*y.\nAnswer: 136*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1971834? (a) -2 (b) 0.111 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*s = -122*s + 533*s + 41522 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 - -1.4. Let f = 4.8 + 0.2. What is the closest to b in 2\/3, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let o = 20 + -102\/5. Let p be 25\/(-30)*(-12)\/(-20). Sort o, w, p in decreasing order.\nAnswer: w, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(4\/3))**35*g\/(g*g*g**(-12\/13)\/g)*g*(g\/(g\/(((g*(g**(-1\/11)\/g)\/g)\/g)\/g)))\/g assuming g is positive.\nAnswer: g**(-5935\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -453 - -821. Let i = w + -206. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426306694 to the nearest integer?\nAnswer: 20647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -23*i + 17. Let p(x) = 8*x - 6. Let g(f) = -6*d(f) - 17*p(f). Let h(b) = 33*b**2. Give g(h(r)).\nAnswer: 66*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3.6. Let x = -266 - -265.8. What is the closest to x in 0.4, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93469.09 weeks in days?\nAnswer: 654283.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 6*b - 1. Let q be x(5). Suppose -11*m = 5*t - 13*m + 7, t + 2*m = 13. Sort -2\/5, q, t, -13\/3 in descending order.\nAnswer: q, t, -2\/5, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*a = -100, a = 2*a - 4. Let g = 107 + i. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 28 = -0*s. What is the third derivative of 22 - 15*g**6 + 13*g + 154*g**s - 152*g**2 - 13*g wrt g?\nAnswer: -1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - -6 - -10) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3)*f**3*f**(-2\/7)\/(f\/((f*f\/(f*f**(-1\/2)))\/f*f)) assuming f is positive.\nAnswer: f**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:16 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 9.2466\nAnswer: 0.92466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.367 kilometers in nanometers?\nAnswer: 393367000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443823.\nAnswer: 3, 239, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3553 = 3*v, -3*k - 2*v = -4*k + 3558. Suppose -4*s - 3*o + 2238 = -1333, -4*s = 4*o - k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/54)\/((-21)\/28*(-48)\/(-54))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**2 - 12*m + 6. Let f(q) = -3*q**2 - 4*q + 2. Calculate -11*f(t) + 4*v(t).\nAnswer: t**2 - 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72cf (base 16) to base 4.\nAnswer: 13023033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778049645.\nAnswer: 5, 2137, 72817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 5}. What is prob of sequence xx?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1989, -1820, -1539, -1146, -641?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14*y = 11*y + 12, 4*n + 4 = y. Let s = -5 - -6. What is the nearest to s in 1\/7, -0.5, n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1235821?\nAnswer: -1235821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/448544 and -123\/520.\nAnswer: 29155360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1307904302 and 1.49.\nAnswer: -1307904300.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0.8. Let x = 142 - 84. Let m be 4\/(-24) + (2 - x\/36). What is the third biggest value in m, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 3331056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + 112274?\nAnswer: 112245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10641281*h**2. Let u(a) = 2*a**2. Calculate q(u(d)).\nAnswer: 42565124*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2 + 1097*i + 8745. Give h(-91).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117613.\nAnswer: 337, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 2, g: 6}. What is prob of picking 1 g and 1 r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -30004?\nAnswer: 30007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66054010*k**3 - 936168700 wrt k?\nAnswer: -198162030*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2067 - -2101.26. Let q = 34 - d. What is the biggest value in 1\/2, q, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-405)\/225*(22\/(-6) + 2). Solve -a = 5*t + 15, d*t - 13 = -5*a - 0*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 - 109*p. Let r(u) = 4*u**2 - 55*u. What is -3*m(x) + 7*r(x)?\nAnswer: x**2 - 58*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + -9)\/((-1)\/(-3)). Let y be -2 + (6 - 3) - p. Which is the nearest to -1? (a) -3 (b) y (c) -1\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 15, z: 2, v: 3}. Give prob of picking 2 z and 1 v.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**5\/10 + 97*k**4\/6 + 190*k**3\/3 - 554*k. Find z, given that s(z) = 0.\nAnswer: -95, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.2 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**1*((n*n**(2\/9))\/n)\/((n**4\/n*n)\/n) assuming n is positive.\nAnswer: n**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -398 - -278. Let t = -118 - y. What is the lowest common multiple of t and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1727264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/60 - m**4\/24 + 19*m**2 + 2. What is l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*x**2 + 6*x**2 - 5 + 7 + x**2 as n*x**2 + j*x + t and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300)*-2)\/sqrt(10))\/(sqrt(66)\/(sqrt(11) + 2*-3*sqrt(11))).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + (-868605)\/(-1370) - 3. Let s = -624 + c. Calculate the common denominator of s and -17\/3.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.54 - -0.46. What is the biggest value in -1.42, i, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17044 - 4*k**2 + 4*k**2 + 4*k**3 - 316*k - 17044 as l + x*k**2 + b*k + p*k**3 and give b.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 5. Let c(h) = -3*h - 61*h**2 + 130*h**2 - 70*h**2 + 3*h. What is c(g(b))?\nAnswer: -b**2 - 10*b - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-12)*(-6)\/(-4). Let b(f) = f**2 - 10*f + 11. Let t be b(9). Factor 0*p**2 + 5*p**t - 3*p**d - p**3 - 3*p**2.\nAnswer: -p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -81, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768078.\nAnswer: 2, 3, 71, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 - 45\/5. Let x(q) = -q - 1. Let c(r) = -2*r**2 - 6*r - 6. Let m(l) = -l**2 + 15*l - 13. Let p be m(14). Determine p*c(k) + z*x(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -181*q**4\/4 - 1897*q - 1674. Find the first derivative of a(n) wrt n.\nAnswer: -543*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 43 = 10*n. Suppose -n*o + 0*o = 2*c - 6680, -3*o = 4*c - 6688. Suppose 1 = -m, 2*x + 28 = 2*m + o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t + 25*t**2 + 5106*t**6 + 4 - 5241*t**6 - 4 wrt t?\nAnswer: -16200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = 5*g - 4*p, -10 = 2*g + 2*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**3\/3 + 6. Let y = 63 - -127. Let j(u) = y + 21*u - 190. What is j(i(s))?\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*g + 17740, -5*g - a + 17724 = -g. Let k = -1959 + g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 190*u + 400. Let k be g(-2). Solve 0 = 4*x + n + 5, -k = 4*x + 4*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k + 4. Suppose -2*s - 3*x = 7, 5*s + 0*x - x = 25. Let r(d) = 11*d + 7. Let f(z) = s*r(z) - 9*u(z). Determine f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 6044908?\nAnswer: -12089816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f + 3. Suppose 9*l - 490 = 923. Let a = l + -153. Let q(g) = 13*g - 7. Let n(o) = -o**2 + 10*o + 9. Let x be n(10). Determine a*q(u) + x*d(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1\/7357 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1396980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -50. Suppose -s - 2*s = -90. Let r = s - 18. What is the least common multiple of n and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.520301 rounded to the nearest integer?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305 + 192. Let y = 107 + j. Put -0.1, 5, y in descending order.\nAnswer: 5, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28778022 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 52 = 5*b, 0 = -3*u + 12*b + 209 - 53 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:26 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/((-3)\/4). Let k be 10\/45 - f\/(-9). Suppose 0 = -k*q - 4*q + 24. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4972 and 264?\nAnswer: 29832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vas when three letters picked without replacement from vvsyvvvvasav.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 3 (c) -5 (d) -2 (e) -5.5 (f) -1655\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {j: 6, f: 1, a: 5, c: 2, p: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -38?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let b(n) = -2*n - 4. Let m(i) = i - 1. Let d(o) = -b(o) + 4*m(o). What is f(d(r))?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11298 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5650183*d**4 + d**3 + 67222361*d**2?\nAnswer: 135604392*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 5*s + 0 = 7*q - 2*q + 25, -139145 + 139155 = 10*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2 + 6*(-3*sqrt(891)*-2 + 4))*-5 + 2)**2.\nAnswer: 398520*sqrt(11) + 28883529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2250749 - -1.\nAnswer: -2250748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose -2*i + 6 = o. Suppose -i*k + k = -5. Solve -4*d - 7 = k*m + 9, 8 = -2*d + 3*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-166)\/(-8) - 2\/(-8). Let j be 27\/d + -1 + 0. Is j at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313812.\nAnswer: 2, 578453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -93. Suppose w = -w + z. Suppose 5*v = 2*v + w. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2068541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5)*(62 + -2). Let o = g - 10. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 3001?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 14*z + 9. Let g be q(4). Let h be g\/9*(-2)\/(-6) + 3. Let k(d) = -6*d + d + 4*d - 4. What is k(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*d**2*l**3 + 5*d**2*l*t*w**2 - d**2*t*w - d*l**2 - 4*d*w**2 + 2*l**3*t*w + 7*t*w**2 + t wrt d.\nAnswer: 48*l**3 + 10*l*t*w**2 - 2*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 34*p + 36. Give f(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 163, 243, 321, 397?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -3\/4 (b) -2\/5 (c) 3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 114. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**3 + 214*r**2 + 420*r = 0.\nAnswer: -105, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/21, 174, 0.1, -13?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quq when three letters picked without replacement from qqquqqqqqqu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (29 + (-3 - (-37 - 76)))\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -k - g - 57, -4*k + 14 = 2*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5e (base 15) to base 9\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 4*t - 5. Let v be h(-4). Let q be 2\/6*(-2)\/(-3). What is the second smallest value in v, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.71 + -1.316. Let c = 21 + v. Let z = c + 0.02. What is z rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 - 2*u - 2. Let b be k(-2). Calculate the highest common factor of 234 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41724388 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15582 is divided by 140.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 19, 26, 31, 34?\n\"Answer: -u**2 + 12*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-48))\/((-1)\/(-4)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*b = 24, b - 2 = 2*z - 7. Let n be (z - 4)\/(2 - 1). Solve -5 = -n*q - 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 24*i. Let p be w(1). Suppose -3*j - p = -5*j. What is the greatest common divisor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 13. What is r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**3 - 7*r**2 + 7*r + 4. Let c be d(2). Let v = c + 78. Solve -v*y = -y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111134 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1470 = 84. Calculate the remainder when (-266)\/(-11) + (-7)\/(n\/18) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -21*o - 1. Let s be i(-1). Let l(f) = -12*f + 16. Let w be l(-17). What is the highest common divisor of s and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -5 + 32 + -10 + -35\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.34 - -297?\nAnswer: 306.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 575720147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y - 2\/7*y**2 + 2\/3*y**3 + 6. Determine t so that k(t) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576279917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12425 + -12284. Calculate the remainder when 291 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p, 0 = f + 4*p + 1. Suppose -10 = x - 5*l + l, -2*x - f*l = -24. Suppose 2*j + 88 = x*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*n + 17, 4*c + 17 = 3*n - 6. Let x = 3 - n. Let q(m) = 8*m + 7. Let a(b) = -7*b - 6. Let d(l) = 4*a(l) + 3*q(l). Calculate d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -2, -1\/5, -72, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468)*2 - (sqrt(468) + (sqrt(468) - (-1 + sqrt(468))) + 5))**2 + (-3*2*sqrt(468) + ((2*sqrt(468) - sqrt(468)) + sqrt(468) + sqrt(468))*6)**2.\nAnswer: -60*sqrt(13) + 67885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3602\/25 + (-26)\/325. Calculate the greatest common divisor of w and 768.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/23236 and -34\/2261271.\nAnswer: 334668108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 + 7*i + 37. Let k be o(4). Which is the nearest to -2? (a) -2\/7 (b) k (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5625 + -64?\nAnswer: 5531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.92 + 10. Let v = z - -0.02. What is the nearest to 1 in 4, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -41?\nAnswer: 7\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6426 and 2204496?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 9) to base 15.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p = 10. Let q(c) = c**p - c**2 + c**2. Let k(v) be the first derivative of 2*v**3\/3 - 3. What is q(k(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 186.46*0.2\nAnswer: 37.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q**2 - 6*q - 2. Let c be r(-5). Suppose 0 = 3*u - 5*u. Suppose u*i = -3*i - 5*f + 22, -4*i - 2*f + 20 = 0. Solve a = -c*a + i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120 - (-64 + -40)) + 64.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from wpdmapmpmwapaym.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10*p**3 - 3*p**2 - 7*p. Let z(s) = -29*s**3 + 8*s**2 + 22*s. What is 8*y(m) + 3*z(m)?\nAnswer: -7*m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 - (-182791951)\/6327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -6*c - 7 + 12 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8*r. Calculate the remainder when 66 is divided by (1 + r)*(-2 - -19).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*t + 17, 3*t + 2*a + 6 = 4*t. What is the greatest common divisor of t and 37072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q*(q*(q**(1\/4)\/q*q)\/q*q)\/q)\/q)**44*(q**(2\/3))**(-1\/18))**(3\/8) assuming q is positive.\nAnswer: q**(334\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1195.395 milliseconds?\nAnswer: 1195395000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u + 1. Let c(a) = 15*a**2 - 67*a - 4. Let o(b) = -c(b) - 4*x(b). What is the second derivative of o(g) wrt g?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053.57*-7.\nAnswer: -7374.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 17 - -7)*(-7)\/(-21)*-3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from {z: 3, x: 4, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 times -3.2?\nAnswer: 3.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 16233070 and 16233070 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1379 (base 15) to base 10\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**5\/120 - 2*m**3 - 4. Let s(l) be the third derivative of i(l). What is s(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19818 and 19818 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26272 is divided by 174.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379\/2904 - -2\/363. Which is the closest to -1? (a) -2\/3 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45898, 46008, 46116, 46216, 46302, 46368, 46408?\n\"Answer: -t**3 + 5*t**2 + 102*t + 45792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (7 - (10 + -9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-840)\/819*(-33)\/44 - (-2 + (-3 - -6))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/10*(-7420)\/159. Calculate the greatest common factor of 48 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1*(-6)\/2. Let k = 84 - 86. Which is the third biggest value? (a) k (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 130?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1854? (a) -3 (b) 3 (c) -9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 22632 = 4980. Let m = 4011 + f. What are the prime factors of m?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(121) - (sqrt(121) + 2*sqrt(121) + sqrt(121) + sqrt(121) + sqrt(121))) - sqrt(121)) + sqrt(121) + 3*-2*sqrt(121))*-3)\/(-5*-2*sqrt(275)*-2).\nAnswer: 21*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:35 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1623\/68 + -95\/4. Let w = 3 + -7. What is the second biggest value in w, p, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1464104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2712 and 15707?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 806401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:41 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + p - 12 = 0, -3*p + 3 = -t - 3. Is (-3)\/t*-6 + 118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 6*k - 33*w = -30*w + 12, 5 = -5*k - 2*w - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/(-1))\/9)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a = -14 - 266 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2 + 7. Let z be -2*(-1)\/1 - 0. Let l(s) = 2*s**2 + 0*s**3 - 3*s**3 - s**z - 3*s + 1 + s. What is l(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -0.58?\nAnswer: 16.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = -6*t. What are the prime factors of 50 + (t - (2 + -4))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*g - 9. Let t = 1 + g. Let m(n) = n - 3. Calculate m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a**3 - 2*a**2 + 1. Suppose -2*g + 5 + 3 = 0. Let t(r) = 3*r**2 + 7*r + g*r**2 - 2*r**3 + 0*r**3 + 3*r**3 + 5. Let b be t(-6). Determine y(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18058078 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/3 (c) 2\/13 (d) 0.536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 3*b**2 - 10*b - 6. Let l be w(5). Suppose 2*t = 42 + 18. Suppose -r = 4*r + t. Is l less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726 divided by 33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 + -2.8. Let u = f - 1. Which is the second smallest value? (a) 0.5 (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**3 + r**3 - 2*r**3)*(0*r + 3*r + 5*r) in the form k*r**4 + n*r**3 + l + a*r**2 + x*r and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.071 smaller than -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1193, 2352, 3487, 4598, 5685?\n\"Answer: -12*y**2 + 1195*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 3436*j**2 - 83426*j - 330980.\nAnswer: 2*(j - 1742)*(j + 5)*(j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*12*(-4)\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/34)\/(3\/(-16)) - (-104)\/(2288\/(-1870))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -910, -938, -968, -1000, -1034, -1070, -1108?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 5 + 19*v**2 + 2*v - 2*v - 11*v**2 - 6. Let q(x) = 17*x**2 + 7*x - 2. Determine 14*o(j) - 6*q(j).\nAnswer: 10*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32680 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 - -92. Which is the nearest to -1? (a) -2\/11 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848.1 plus 7961?\nAnswer: 8809.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4284, 0.188, -1\/10 in increasing order.\nAnswer: -4284, -1\/10, 0, 0.188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 375964583711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3966*v**3 + 553*v**3 - 22*v + 22*v - 179*v**3.\nAnswer: 4340*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 4, 1, -10 in ascending order.\nAnswer: -10, -1, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4*5\/15 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 8, 2 in ascending order.\nAnswer: -94, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-11 - 7) - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjtn when four letters picked without replacement from ptwtwmnwtmjj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 896 = -5*d - 2*k + 17764, -d - 5*k + 3369 = 0. What are the prime factors of d?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 148527 + 14?\nAnswer: 148542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534 divided by -89.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + v + 2. Let r(z) = -27*z**2 + 15*z + 377. Let x(i) = 5*l(i) - r(i). Find the first derivative of x(p) wrt p.\nAnswer: 34*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 4. Suppose u*k + 90 = 5*x + k, -41 = -2*x - 3*k. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 2 u when four letters picked without replacement from suuqqywuygugyy.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10230 divided by -186\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.52*3\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5387?\nAnswer: -1\/5387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, -4, 273 in decreasing order.\nAnswer: 273, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**5 - 39*b**3 - 16*b**2 + 27.\nAnswer: 540*b**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224 - 92. Let k = 129 - p. Let u = -0.7 - -1.7. Put u, 16, k in descending order.\nAnswer: 16, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.5 (c) -0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/6*-21*6\/(-42). Put p, 0.2, -2 in ascending order.\nAnswer: -2, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u - 72*u - 3*q = -8, -5*q = 2*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -4 + 1\/(9\/(-180)). Let b(d) = 4 + 5*d - 2 - 8*d**3 - 6*d - 6*d**2 + 4. Let s(n) = -23*n**3 - 17*n**2 - 2*n + 17. Determine u*b(i) + 6*s(i).\nAnswer: -2*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -5, -0.4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2. Let q(w) = -w**2 + 4*w - 4. Let l(f) = 2*f**2 - 9*f + 9. Let o(k) = -4*l(k) - 9*q(k). Calculate -4*o(t) + z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**1*k))**(-22)*k**(1\/5)*(k\/((k\/((k\/k**(3\/7))\/k))\/k))\/k*(k\/(k\/k**(-1)))**(4\/19)\/(k\/(k*k**(-5)*k*k*k)*k*(k\/k**(-1)*k)\/k*k*k) assuming k is positive.\nAnswer: k**(9683\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19499891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555 and 2923350?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5126 > -5128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 20951.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6*y**2 + 4 - 2*y**2)*(-3*y - 2*y - 3*y)*(-1198 + 1198 - 8*y).\nAnswer: 256*y**4 - 128*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 + 6*d**2\/11 - 8\/11.\nAnswer: 2*(d - 1)*(d + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1887 and -1.9.\nAnswer: -1.7113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 0*c - 4*c + (23 - 41 + 17)*(-1 + 1 - 4*c) + 10*c - 34*c - 29*c)*(1 + 4 - 6)*(4 - 4 + 1).\nAnswer: 47*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20387104.\nAnswer: 2, 637097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k + 2. Let f be j(-2). Suppose f = x - 0*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1368314 and -1368314 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*f - 4*f, 3*p - 21 = 3*f. Solve -p = r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 11. Let i be d(8). Suppose i*x = 4*q + 12, -8 = -2*x + 3*q - q. Let j be 0 + x + -5 + 1. Solve j*m + m - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 14*a - a)*(3 - 3 - 3) to o + w*a and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2487 and 176386330.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 = -b - 4*b, -14 = -4*z - 2*b. Suppose -x + 3 = -z. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2 - 2*f - 2. Let a(i) = -495*i**2 + 63*i + 63. Let u(m) = 2*a(m) + 63*t(m). Let z(y) = -y. Give z(u(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011545 to five dps.\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 19773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*r - 128*l**2 + 29*r wrt l?\nAnswer: -2*l*r - 256*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/14*-2*4\/80?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/103)\/u)*u\/u**(4\/3))\/(u**(-26)\/u**(1\/6)) assuming u is positive.\nAnswer: u**(17189\/618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1722635 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*d*p*x + 36*d*x*y - 7*d*y + 12*d + 8*p*x*y - 2*p - 160518*x*y wrt d.\nAnswer: -261*p*x + 36*x*y - 7*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.234 times -57409\nAnswer: -13433.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 36*l + 10*l + 11*l + 5*l. Let g(m) = 575*m**2. Determine g(v(x)).\nAnswer: 2300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q - 1. Let z = 64 - 65. Determine n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 347602 (b) 21 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -162259, -162276, -162313, -162376, -162471, -162604, -162781?\n\"Answer: -q**3 - 4*q**2 + 2*q - 162256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -29. Let p(z) = -3*z**3 - 4*z**2 - 6*z - 3. Suppose t = -4*t - 10, 4*t = c - 6. What is the remainder when v is divided by p(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/9 + 16*b**2\/9 + 106*b\/9 - 40\/3 = 0?\nAnswer: -5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = 12. Let o(x) = -2*x**2 - 2*x + 4. Let v(m) = -m**2 - m + 3. Let s = -6 - -8. Determine h*v(k) + s*o(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86283037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 42 - 18. List the prime factors of ((-6)\/o)\/(2\/140).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1564398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 90*p - 3915. What is w(72)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2094 + 4189\/2. Determine i, given that -i + g*i**2 + 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16069089 is divided by 1236080.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64282763?\nAnswer: 17, 29, 101, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x - 4. Let i(y) be the first derivative of y**4\/4 + y**2\/2 + 5*y + 3. Let d be i(0). Let k be r(d). Is 5\/6 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((20\/(-32))\/(-5))\/((-2)\/(-8)). Is p at least -0.465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1936 and 3240160.\nAnswer: 35641760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7471 divided by 7471?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 152. Let r = -76 - g. Suppose -5*o - r*n = -13*n - 39, 5*n = 15. What is the least common multiple of 24 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16915 - -4482. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -723884820 divided by 17\nAnswer: -42581460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12560035.\nAnswer: 5, 2512007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 9. Let a(m) = -2*m - 4. Let o(z) = 5*a(z) + 2*s(z). Let t be o(-3). Find the third derivative of 46*l - 46*l - 10*l**2 + t*l**4 wrt l.\nAnswer: 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*f**4 + 0 - 2*f**2 + 2*f - 1\/2*f**3.\nAnswer: f*(f - 2)*(f - 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000111100110 - 101101001?\nAnswer: 1000000001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14108 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 24*u. Let g(p) = 9662350*p - 2. Calculate o(g(t)).\nAnswer: 231896400*t - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 973 + -7747\/8. What is the common denominator of q and -39\/1520?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**3 + 2*v**2 + v. Let n be g(-1). Let w = n + -6. Let u = w - 4. Solve 3*z + 0*z - u*h = -17, -28 = 4*z - 4*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1 + 0*w**2 + 4*w**2 + 17*w + 1 - 14*w. Let x be f(-2). Suppose 10*r - x*r = -16. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -5, -486.3 in increasing order.\nAnswer: -486.3, -5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 6, 26, 66, 132, 230, 366, 546?\n\"Answer: x**3 + x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -3*a + 0 + 7\/2*a**2 + 1\/20*a**5 - a**3 - 1\/3*a**4. Calculate w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. Suppose -3*d - 5*i + 17 = 0, -4*d = -0*d + 5*i - 21. Suppose -d*s = -s. Which is the second smallest value? (a) y (b) -2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2324*p**3 - 1681*p**3 + 2010*p**3 + p**2 to o*p**2 + y*p**3 + d*p + v and give y.\nAnswer: 2653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 4. Suppose 7*s = 8*s - 3, -2*y - 23 = -3*s. Calculate v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5355 times -0.3?\nAnswer: -0.16065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 224.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -31*g - 2. Let z be -3 + (9 - 3)\/3. What is the units digit of q(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*x + 32*x + 11 - 13 - 39 in the form z*x + y and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 0*b + 0*b)*(-4*b + 2*b + 0*b) - 5*b**3 + 3*b**3 - 5*b**3 as m + f*b + v*b**3 + k*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/5)*(d*d**3*d)\/d*((d\/((d**(-3)\/d)\/d))\/d)**(-33) assuming d is positive.\nAnswer: d**(-807\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u**2 - 5. Let b be ((-5)\/(-4))\/(7\/(-28)). Let v(c) = 13*c**2 + 7. Give b*v(w) - 7*i(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -68*k**3 - 11*k**2 - 11*k + 8. Let y(s) = -23*s**3 - 4*s**2 - 4*s + 3. What is 4*v(b) - 11*y(b)?\nAnswer: -19*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/((-142)\/(-355))*-7*7\/(-14)\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13201055 by 1885865.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4906 rounded to 1 decimal place?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -35. Suppose -g - 4*b = -6*b - 18, -b = -5*g + 45. Let h = g - 5. Solve -3*c + d + 3 = 5*u, h*c = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119140363 to the nearest integer?\nAnswer: 10915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:30 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 2 - 2 + 5*g - 5*g + 5*g**2 + (3*g - g - 3*g)*(-10 + 10 - 4*g) + 0 + 3 + 2*g**2 - 4 to the form u*g**2 + y + b*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/25)\/(s**(2\/71)*s*s) assuming s is positive.\nAnswer: s**(-3742\/1775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33\/19 + -1497\/304. Find the common denominator of m and 122\/(-40) - (2 - 3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**10)\/f**(-16)*(f\/(f\/(f*f**6*f*f)))\/f**1 assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2573, -2575, -2577, -2579, -2581, -2583?\n\"Answer: -2*x - 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = -5*w, 1 = w - u + 2*u. Solve -w*k + 4 = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 524 and 573256?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33162 + 26?\nAnswer: -33134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69953 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260\/7837 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 796*f**3 - 2571*f**2*k**2 - 2213850*k**2 wrt f?\nAnswer: 2388*f**2 - 5142*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4957 or 360\/647?\nAnswer: 360\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8849.938 days?\nAnswer: 764634643200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 - -158. What is the nearest to -0.2 in 0.02, d, -2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10874969?\nAnswer: 7, 1553567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n - 11 = f, -4*f + 32 = -3*n. Suppose -5*l = -2*l + 3*u - 30, 4*l + f*u - 35 = 0. What is the remainder when 29 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22495)\/(-116875) + 36\/(-2250).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1161 and 27.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.31 - -41.91. Which is the closest to 53? (a) u (b) -2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-622)\/(-10) + 1\/(-5). Let r be (-3)\/6 + j\/4. Let q = 73 - r. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7254*q - 29 + 29 + 7249*q. Let r(s) = -248*s. Give x(r(j)).\nAnswer: 1240*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1144 - 2?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -106, 2, 5\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - 16*v + 2. Let u(q) = -13*q**2 + 65*q - 8. Let w(j) = 9*a(j) + 2*u(j). Let c be w(13). Is c\/((-22)\/160) - 2 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042202 + 0.5?\nAnswer: 0.542202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 8*g**2 + 7*g + 4. Let s = 445 + -441. Suppose -23 = -2*r + 3*c, 0*c - c = s*r - 25. Determine h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109666678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 14\/18 - 8\/36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 6, u: 1, b: 3, z: 2, w: 5}. Give prob of sequence ru.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/1)\/1 + 1. Let k = -2616\/11 + 238. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2973, 5895, 8817?\n\"Answer: 2922*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4288 and -123\/10.\nAnswer: 21440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 65, -149, -671, -1603, -3047?\n\"Answer: -17*i**3 - i**2 + 114*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-564)\/(-2444))\/(((-9)\/(-2))\/(-3))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9347 rounded to two dps?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmiiiiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -73. What is the closest to -2\/7 in -0.2, c, 28, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04156666 to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 9*h + 10 = 0. Let g(x) = -6*x + 7. Calculate g(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - (-4 + 7) - -108. Solve -2*p - 91 + f = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -9. Let k = u + -36. Let b = k + 61. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:42 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -7*m + 18. Suppose 5*k = -2*s - m*s + 420, -2*s = -4*k - 168. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2564343127 + -27.81?\nAnswer: -2564343154.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -58613 (base 10) in base 3?\nAnswer: -2222101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Let b = -18 + 38. Suppose -a = 3*a - b. What is the remainder when a is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y = 10. Suppose y*z + 3 = -z. Let j = 5 + z. Solve 4*u = 4*q + 4, 9*u - 4*q - j = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87\/7 + -1145\/91. Let u = -334 - -333.9. Let v = 1 - -2. Sort v, u, l in ascending order.\nAnswer: l, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - (-9 - -6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2*w + 12. Determine p(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 - 1.86. Put v, 0.3, 0.2 in descending order.\nAnswer: 0.3, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -54. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27200, -108830, -244888, -435380, -680312?\n\"Answer: -r**3 - 27208*r**2 + r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*(t*t*t**(-4\/9))\/t)\/t*t)*(t\/(t**(-4)\/t))\/t)**(-39)*((t**(-2\/9))**(-2\/15))**(17\/3) assuming t is positive.\nAnswer: t**(-70132\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/4 + 4\/16. Let d be (-3)\/(-6)*10 - 1. Suppose 3*w + 16 = d. Put l, w, -1 in decreasing order.\nAnswer: l, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25002607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 2, q: 1, f: 7, w: 3}. What is prob of picking 1 w, 1 k, and 1 q?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(63\/66) + 3. Suppose 115 = -72*f + 43. Let i = 0.7 + -0.2. Which is the closest to f? (a) i (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/4 + 12813*r**2\/4 - 9608*r + 6405 = 0.\nAnswer: 1, 2, 12810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 44063 = -2*o, -140*n + 145*n - 3*o = 44062. Is 178 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -122, -356, -808, -1550?\n\"Answer: -12*o**3 - o**2 - o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 21*v = 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25526 is divided by 371?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + -5 + 1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10103, -10132, -10173, -10220, -10267?\n\"Answer: u**3 - 12*u**2 - 10092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153806557 is divided by 10986182.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 100, 1, -4, 3 in increasing order.\nAnswer: -4, 0, 1, 3, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:27 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*3)\/sqrt(9) - sqrt(126)\/(sqrt(3)*1 + sqrt(3) - sqrt(3)))\/(((sqrt(18)*2 - sqrt(18))*-6)\/(sqrt(243) + 2*sqrt(243))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 53 from -24.62488972.\nAnswer: -77.62488972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.0105 - 1.9305. Suppose -5*h + 0*h = -150. Suppose h = 4*f + 10. Which is the smallest value? (a) f (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3 + 26. Let a(m) = -2*m**2. Determine a(s(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 60*h - 56.\nAnswer: -4*(h - 14)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbo when three letters picked without replacement from {n: 2, o: 4, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1618 and 10172366?\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*p**3 + 10*p**3 - 3*p**2 - 23*p**3 to the form r*p**3 + i*p + o*p**2 + z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7654*a + 7655*a - 5*q + 29 = 0, -25*a + 5*q = 605 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4077744703 to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 at most as big as 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*l - 32, -l = 3*l - 20. Suppose -s*n - 56 = -18*n. Suppose 3*z = n*z - 0*z. Solve p = -z*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-859*i + 1768*i - 238*i)*(3*i + 2*i - 3 + 2) as s*i**2 + g*i + x and give s.\nAnswer: 3355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*f + 2 = 0, -w - 64*f = -59*f + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 40 = 20*l. Let t(u) = -2*u - 6. What is the lowest common multiple of l and t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19651076.\nAnswer: 2, 47, 104527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 245\/(-14)*(42\/15)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-12711*d**3 + 210*d**4 + 12711*d**3).\nAnswer: 210*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/3 + (-3 - -7). Let x be (s\/5 - 1)*(-220)\/44. What is the greatest common divisor of x and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 6. Let m be s(5). What is the remainder when 26 is divided by m + (-1 - -3) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.26882mm in nanometers?\nAnswer: 97268820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 20. Let u be (0 - y\/(-4))*(-2 - 2). What is the greatest common divisor of 33 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105949 > -105937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1755521076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*x + 14 = 0, 7652*x + 20 = 7647*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -5. Let d be -2*p\/6 + -6. What is the units digit of (0 - d)*(0 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 2. Suppose -4*o = b + 2 + 1, i*b - 2 = -4*o. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 7:27 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z - z - 3*z)*(0*z - 3*z + 4*z) + z**2 - 6*z**2 - 3*z**2 + (5*z - z - 2*z)*(-13*z - 2*z - 12*z))*(-2 - 2 + 5).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 2535*t + 22673. Give c(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 3897*a + 7789. Give d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose f = 2*a - 5*h - 16, 3*h - 7*h = 8. Suppose -a*i = -0*i - 27. Round i to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231992 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -5, -4, -837, -0.7.\nAnswer: -837, -5, -4, -0.7, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 226922 and 29714.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - y + 1. Let l be a(2). Let z = -6 + l. Factor 1 - 1 + 12*w**4 - 3*w + 3*w**3 - 3*w**2 - z*w**4.\nAnswer: 3*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1643\/12 + 437\/3. Let b = 1662627 + -16694457\/10. Let l = -6825 - b. What is the common denominator of l and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.047 and 54.75.\nAnswer: 54.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 23 - 1 = 2*z, 5*z = 4*y + 48. Suppose 4 = z*o - 6*o. Solve 24 = v - 5*w, -5*v + 3*w = o*w - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155 + 5?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 88. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7 - 11. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**0)))\/y**(1\/2)*(y**0)**(-20\/7))\/((y**(-2)*y)**(-1))**(-44) assuming y is positive.\nAnswer: y**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - d + 24. Does 6 divide r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2648*s - 11. Let v be f(-1). Let m = v - -3770. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26559702821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2358\/(-131))\/(((-2)\/(-12))\/(4\/(-16))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**21*b*b)\/(b*b\/(b*b\/(b\/(b*b*b*b**(-8)*b*b)))*b)*(b**(-2\/47)\/b)\/(b**(7\/9)\/b*b*b) assuming b is positive.\nAnswer: b**(6421\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/91656 and -91\/9720.\nAnswer: 12373560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 25. Let c(w) = w**3 - 9*w**2 + w - 5. Let l be c(m). Solve -15 = -z + l*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1444468177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-224)\/(-308) + 252624\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 5, 9187\/7, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 3*j**3 - 15*j + 32*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 7*i - 5. Let g be a(-7). Let m = g + 7. Suppose 2\/3 - 1\/3*d - 1\/3*d**m = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177072 and 190128?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15381 - 15382. Is m bigger than 3\/6241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(10) - 2*sqrt(10)))\/sqrt(2))\/(sqrt(400)*-1 + sqrt(400) + (sqrt(48)\/sqrt(2))\/sqrt(6)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -2, -17, -228.\nAnswer: -228, -17, -16, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 161*p + 26887. Let i be d(-167). Let w(l) be the first derivative of -l**2\/2 - 2*l + 1. Give w(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 17)*(-4*l - 3*l - 2*l)*(1 - 3 + 3).\nAnswer: 81*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110021 + 222000?\nAnswer: 2102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83384 is divided by 571.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-4)*(-2)\/(-6). Find the third derivative of -26*j**3 + 4*j**2 + 11*j**3 - 6*j**f wrt j.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 287 and 27470?\nAnswer: 192290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-25) - (-158)\/(-10). Is (-8)\/6 + (-2045)\/q + 1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((528\/(-18))\/(-22))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -949*o - 29417. What is z(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 2*u - 3*u**3 + 4*u**2 + 0*u**3 - 2. Let m = -44 + 46. What is d(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*((-1 - -5) + -3). Suppose 5*h = 5 + b. Solve k = -2*x + h, 2*x - 3*k + 4 = 6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 5*a - 4*o = 12, 0 = -5*a - 16*o + 20. Let p be (2\/(-3))\/((-2)\/(-408)). Let y = a - p. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 + 2*h - 3*h**2 + 4*h**3 - h**2. Let q be j(4). Solve -3*w + g = q, 2*w + 2*g = -g + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/7 + 12*j**4\/7 - 158*j**3\/7 - 24*j**2 = 0. Calculate j.\nAnswer: -12, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7947 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/255 and 31\/161826?\nAnswer: 13755210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8536475 = -38136475. What is f rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186662.342 to the nearest 1000.\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-2 + 2*i + 2)*(958*i + 72*i - 235*i) as f*i + o*i**2 + c and give o.\nAnswer: -3180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 539.14 + -551. Let v = m - -12.347. Round v to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-3 - -4) + 14 + -1 + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from {o: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.37 + 0.01. Let g = 0.06 + n. Let a = g + 0.299992. What is a rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 1696 - 861 = 751 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:56 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*y + 5*f + 88, -y = 4*f - 42. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017822934 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249*o**2 + o**2 - 1046*o**3 + 7*o + 2 + 551*o**3 + o**4 + 2666*o**3 + 99*o**3 wrt o.\nAnswer: 24*o + 13620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/3*1 + -5. Let f(i) = -4*i. Does 8 divide f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3831*((-35)\/(-30))\/7. Let o = x - 637. Find q such that -7\/2*q - 1\/2*q**3 + o + 5\/2*q**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 43\/2 of a millennium?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 40. Let t = 21 + c. Let s(z) = z - z + 3 + 0*z - t*z. Calculate s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/644)\/(1\/(20\/265)). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, b: 3}. What is prob of sequence ff?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4307 + 4311.243. Let l = r + 0.057. Let i = 1.3 - l. What is the smallest value in i, 1\/8, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.1. Let z = 19.5 - 5.9. Let k = -14 + z. Which is the third smallest value? (a) 2 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 32 = -2*z, -18*x + 13*x - 7 = 3*z + 16 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/33*13 + -6. Which is the smallest value? (a) v (b) -1 (c) -1.33 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1454, -3, -94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16532 + -16527. Solve 0 = -a - 2*l + 9, 31*a - 36*a - f*l + 30 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648792 and 78088?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9473, -9446, -9399, -9332?\n\"Answer: 10*n**2 - 3*n - 9480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 9*v + 14*v - 46*v + 12*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-1 - -2))\/2. Suppose m = -2*r + 10. Suppose 3*w = -0*j + j + 6, 0 = r*j + 3*w - 60. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -24. Let l(x) = x - 6. Let k be l(u). Suppose -o = 4*o - 20. Solve k*j + 5 = -y, -2*j + 0*j = -o*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7)\/m*m)\/m**(-1\/7))**0\/((m*m*m**(2\/5)\/m*m)**49\/(m**(-3\/7)*m**(-4))) assuming m is positive.\nAnswer: m**(-4271\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 93\/6 - (-3)\/6. Let r = m - 12. Suppose -r*z - 4*u + 1472 = 0, 5*z + 2*u - 2104 + 255 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 398 - 1?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(77418\/(-2244))\/((-5)\/(-2)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22222 (base 3) in base 4?\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {k: 1, n: 6, v: 2, h: 2, f: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.036 + -0.136. Sort -0.3, -3\/5, n, -1.\nAnswer: -1, -3\/5, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-105) - 242\/(-14). Solve n*i - 20 = 21*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101536 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 928 and 198304.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1547409\/105*10\/8. Let v = f + -18425. Let k = v - -15\/4. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 0 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 286857 (base 9) to base 2\nAnswer: 101010111000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/50 and -9\/590.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2527853200 to the nearest one million.\nAnswer: 2528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.056 + -15.056. Which is the fourth smallest value? (a) 2\/3 (b) -2\/71 (c) -0.2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 2. Let w be o(3). Let m = 2 - w. Let x(j) = 3*j**2 - 2*j - 1. Let h(p) = -4*p**2 + p. Let s(k) = 2*h(k) + 3*x(k). Determine s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 23228*u\/5 - 29568.\nAnswer: -4*(u - 1155)*(5*u - 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(656\/220 + -3). Suppose -3*g = -2*s + a, s - 1 = 4. Let f be 26\/15 + 6\/g. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 1 + 6. Let u(x) = x - 1. Let p be u(k). Suppose -15 = 3*z + 4*q - 9*q, 2*z = q - 10. Sort z, 2, p.\nAnswer: p, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-1\/6))\/(f**(1\/8)\/f) assuming f is positive.\nAnswer: f**(73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(12\/16) - (-4 - 169).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -582*l - 92. What are the prime factors of r(-4)?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**3 + 3*o + 2*o**2 - 3*o**2 + 11*o**3 + 3*o**2 + 1 in the form b*o**2 + s*o**3 + g + j*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.7. Let l be ((-5)\/(225\/(-6)))\/(4\/18). What is the smallest value in l, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/5 + 94*m\/5 = 0.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = 5*t + 16*m - 55, -14*t + 5*m = 47 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -5. What is the highest common factor of 88 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 16*s. Let x(m) = -m**2 - 15*m. Let o(j) = -4*k(j) - 5*x(j). Let i(b) be the second derivative of -b**4\/6 - 4277*b. Give i(o(h)).\nAnswer: -18*h**4 + 132*h**3 - 242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15229136 divided by 844?\nAnswer: 18044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*j + j + 4*n, -n - 2 = 0. What is the second derivative of -2*x**5 - 21*x**2 - 2*x + 21*x**j wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3226*g + 183872. Give l(57).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1441525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53744035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 154 + 136 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 117455592, 234911182, 352366772, 469822362, 587277952, 704733542?\n\"Answer: 117455590*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 + 2631422?\nAnswer: 2631550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1.01 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*f + 23 = 2*f, -2*g + 12 = -2*f. Suppose s = g*s - 52. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 71*y**4\/3 - 179989*y**3\/3 - 116681*y**2 - 159835*y\/3 + 10148\/3 = 0.\nAnswer: -1, 4\/71, 2537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 27 = 22. Calculate the greatest common factor of 14 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 51*r + 3643740000 = 0. What is r rounded to the nearest 1000000?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -1285638205.\nAnswer: -1285638222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*k - 23. Let o(c) = -c**2 - c - 1. Let p(x) = 5*x**2 + 11*x - 1. Let d(m) = -4*o(m) - p(m). Let r be d(-7). Solve -r*n = -10*n + k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49257532 is divided by 1472?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 239824069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5039 + -1739. What is h rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4\/9 + 6*s**3 + 124*s**2\/9 - 24*s - 464\/9 = 0.\nAnswer: -2, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 898 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/18 and 91\/36 + (-65)\/(-52).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**8\/1680 - n**7\/630 - n**6\/90 + 5*n**4\/12 + 10*n. Let f(g) be the third derivative of q(g). Factor f(y).\nAnswer: 4*y*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjvjgvjvvjvvvjvjj. Give prob of picking 1 j and 1 v.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - -19 - -10) + 9 + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/3 + 186*i + 1140 = 0?\nAnswer: -6, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by -19083.\nAnswer: 101\/19083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -1. Let b(p) be the third derivative of p**5\/30 + 7*p**4\/24 + 2*p**3\/3 + 102*p**2 - 2*p - 1. Determine b(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/35 + 3 - (-112)\/180.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n**2 - 2. Let w(h) = -h + 1. Calculate w(f) + z(f).\nAnswer: -11*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + t**2 - 3 + (-2 + 0 + 0)*(t**2 - 3*t**2 + 0*t**2).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 12. Let s = 263 + -260. Let g = -252 + 245. Which is the fourth biggest value? (a) s (b) 3\/2 (c) g (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -153, 9, 0, -2, -3, 3420 in decreasing order.\nAnswer: 3420, 9, 2, 0, -2, -3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92001 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 14*w + 93\/2.\nAnswer: -(w - 3)*(w + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*v - 2*q, -4*v - 7*q = -5*q - 74. Calculate the remainder when 43 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*j - 37, 0 = -3*q + 5*j - 0*j + 34. Suppose x = -q*a - 1 + 5, -4*x = 8. Solve -122*m**3 + 106*m**3 - a*m**2 - 14*m**2 - 4*m**4 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 378, 398, 426, 462?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5367 is divided by 1759?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8149464 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 62*j.\nAnswer: -62*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133022220131 (base 4) to base 3.\nAnswer: -120101002011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320907990 and 2834?\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -215\/3*b**2 - 14\/3*b**4 - 500\/3 - 241\/6*b**3 + 850\/3*b - 1\/6*b**5.\nAnswer: -(b - 1)**2*(b + 10)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.23 + 1.77. Let f = -0.24 + 2.84. Let y = f - 0.6. Sort z, -6, y in ascending order.\nAnswer: -6, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 224 (b) -4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879083991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b**2 - 243*b + 243*b. Let p = 1018 - 1024. Let l(x) = -6*x**2. Give p*d(j) - 17*l(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*y = -j + 416*y + 15 + 18, 4*j - 66*y + 524 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (66*y - 54*y - 2 - 314*y - 93*y)*(-275 + 456 - 248) as j*y + c and give j.\nAnswer: 26465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(0 + 2 + 0)*(-3*i + 0*i + 4*i) - 14 + 14 - 12*i to g + a*i and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/1*1135\/(-2270). Let b(k) be the third derivative of -2*k**2 + 7\/40*k**5 + 0 + 47\/16*k**4 - c*k**3 + 2*k. Let b(q) = 0. Calculate q.\nAnswer: -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30688, -61186, -91506, -121654, -151636, -181458, -211126, -240646?\n\"Answer: -v**3 + 95*v**2 - 30776*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1122 and 137\/1734.\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3\/3 - 5*g**2\/2 - 93*g - 36. What is the first derivative of z(x) wrt x?\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 1 - 1)*(2 + 0 - 1).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 3:58 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 2*p**3 + 0*p**3 + (-2 + 2 + p**3)*(4 - 2 - 1) + (2*p**3 + 0 + 0)*(4 - 5 + 0).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/260919 and 82\/14469.\nAnswer: 23743629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52045 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*s - 6*s. Solve -5*x = -s*j + 27, 0 = -2*j - j + 2*x + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5130*f**3 + 5134*f**3 - 15395*f**3 + 5130*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9\/42)\/((-5)\/(280\/(-16)))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00232592394 rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**4\/12 + 29*w**3\/6 - 20*w**2 - 3*w - 1. Is p(15) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 142, 124, 106, 88, 70?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 13*z**2 + 10*z + 5. What is the units digit of m(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 2*y - 2. Let i(a) = a**2 + 1. Let h be i(-2). Let j be n(h). Let q = j - 7. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from ihigbbgsgiaii?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57911 + 24466. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/44*2\/(-5)*4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27350117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11041293.\nAnswer: 3, 3680431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 0.4. Let s = -302.737 + 303. Let m = 0.037 + s. What is the third smallest value in m, c, 1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 3*n**2 - 4*n + 4. What is the units digit of c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r + 3. Let y be z(0). Let o be 12*2*y\/(-12). Is (o*1)\/2 - -12 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6.06. Let r = 2.06 + p. Let l = -74881 + 524166\/7. Sort r, l, -4, -1 in increasing order.\nAnswer: -4, -1, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1524258 (b) 0.4 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, 1 r, and 1 a when four letters picked without replacement from {h: 1, x: 1, a: 1, y: 2, v: 1, r: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Suppose -h + 107 = 4*j, 3*h + f*j + 274 = 5*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34321751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -23*m + 15. Suppose m*x - 700 = -5*x. Let j be (((-64)\/(-20))\/4)\/((-2)\/(-35)). What is the greatest common divisor of j and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 7. Let s(c) = -3*c**2 + 5. Let y(w) = w**3 - 5*w**2 - 4*w - 5. Let x be y(6). Determine x*s(f) + 5*k(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18392036119.101383 - 18392000698. Let g = -35421.4 + o. Let f = -0.298 - g. Round f to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r**2 + 945*r + 17*r**2 - 54*r**2 + 20*r**2 to the form p*r + u + m*r**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 1, -2 in ascending order.\nAnswer: -11, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16\/13 - -67\/65. Put -15, v, 0.2 in descending order.\nAnswer: 0.2, v, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 2*t**2 - 4*t**2 + (-3 + 11*t + 4 - 9*t)*(2*t + 0*t + 5*t) in the form v*t + a + g*t**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:05 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-1)*15\/6. Suppose -5*d = i - c, -d = 2*i + 2 - 24. What is the remainder when 17 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*h + 41, 0*h = 4*h + 16. What is the remainder when 40 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-488)\/22) + 106\/(-583). What is the greatest common divisor of r and 5567?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15776, -31596, -47416?\nAnswer: -63236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -m - 119, 15 - 19 = 3*m + 2 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 16287*s**2 - 16284*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*60\/75 - 9*1052\/(-474)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**2 - 7*c. Let z be (55 + -57)\/(4\/(-14)). Let d(s) = -9*s**2 - 6*s. Determine z*d(u) - 6*h(u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -974082.9775 + -2393.\nAnswer: -976475.9775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 51\/(-9)) + 104\/312. Let g(k) be the second derivative of 0*k**2 - 5*k**3 - 5\/12*k**4 + 0 + 5\/4*k**o + 11*k. Find a such that g(a) = 0.\nAnswer: -1, 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 - 214286*s**3 - s**2 + 1258*s + 223?\nAnswer: 60*s**2 - 1285716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/2074*(-582)\/(-97).\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*o - 2091 = 448*o. Let q = -264 - -281. Calculate the greatest common factor of q and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**7\/35 - 5*s**3\/6 + 8*s**2 + 33. Let h(t) be the second derivative of q(t). Differentiate h(l) with respect to l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39507 = -27*y + 151962. What are the prime factors of y?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j - 459. Let p = 1073\/7 + j. Factor -2\/7*v**5 + 0 + 0*v**3 + 0*v**2 - p*v**4 + 0*v.\nAnswer: -2*v**4*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 t, and 1 g when three letters picked without replacement from {g: 5, b: 4, t: 3, y: 5, a: 2}.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2339 - 2?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8276437 - 0?\nAnswer: 8276437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(((z**(2\/11)\/z)\/z)\/z)*z**(1\/10)*(z**(2\/7))**(-1\/8)*(((z**(-1\/3)*z)\/z)**(-12\/7))**(-41) assuming z is positive.\nAnswer: z**(-28561\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1332 divided by 444\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240957071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 0*b**4 + 5*b**4 + (-3*b + 2*b**2 + 3*b)*(-2 + 0 + 1 + 4*b**2) + (2 - 5 + 4)*(-2*b**4 + 0*b**4 + 0*b**4) + 22*b**2 - 22*b**2 + 4*b**4.\nAnswer: 11*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2066 - -2335. Does 90 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/9 (b) 155 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.3. Let h = 0 - m. Which is greater: h or -0.03?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 0 - (6 + -46). Let w(z) = -10*z**2 - z - 1. Let v be w(3). Let d = v + y. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 190, 175, 144, 91?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.473 (b) 3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786628 is divided by 715?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 13*z - 5. Let s(k) = -3*k**2 + 25*k - 9. Determine 7*m(n) - 4*s(n).\nAnswer: -2*n**2 - 9*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45*(0 - 33\/(-11322)). Let q = -1\/74 + y. Which is the closest to 1? (a) -5 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 3*u - 7*u)*(4 - 1 - 1)*(-44 - 33 + 29).\nAnswer: 480*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*(3*y - 5*y + 3*y) + 87*y + 83 - 83.\nAnswer: 90*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 8:15 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7716*u**3 + 3*u**2 - 179657*u?\nAnswer: 46296*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 6:05 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8327 + 2.5.\nAnswer: 1.6673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)\/(m*m**0))**(-26)\/((m*m**(2\/7)*m)**(1\/20)\/(m**(2\/5))**(-2\/155)) assuming m is positive.\nAnswer: m**(210927\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1170 + -1164 - (0 - -22)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*w - 5, -2*p = -4*p - w + 10. Let i be p + (17 - 12 - (5 + -1)). Solve i*t - 8*t = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-3))\/(16\/(-152)). Let r = 21 - j. Factor 8\/7*b**r + 8\/7*b + 2\/7*b**3 + 0.\nAnswer: 2*b*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*((-228)\/(-8) + -2).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 1.3. Which is smaller: 3\/14 or c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let a(c) = -2*c - 4 + 4. What is x(a(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1334 + 186 = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s + 8*s - 22*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k. Let w = 0 - 1. Let o(l) = l**2 + l + 1. Let z be o(w). Let f(m) = 3*m**2 + z - 4 + 3. Give y(f(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aakae. Give prob of picking 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(5 + (5 + (sqrt(1700) + 1 + sqrt(1700) + 0 - (1 + sqrt(1700) + 0)))**2).\nAnswer: 1800*sqrt(17) + 31140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjrz when four letters picked without replacement from jjzrzrjjrrrrr.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c07e8 - -d?\nAnswer: 1c0806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 365112 and 1028952?\nAnswer: 11318472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45055 = -366*g - 483*g - 14375 for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85036, -170074, -255112, -340150?\nAnswer: -425188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705604406.\nAnswer: 2, 13, 19, 109873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 3 + 3 + (-6 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -5 (b) -0.029 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 3*a**2 - 2*a + 2. Let v = 21 - 14. Let u = v - 10. Let g = u + 6. Give s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t. What is w(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -17*l**5\/120 + 55*l**3\/3 + 80. Let n(x) be the third derivative of h(x). Let d(y) = 4*y**2. What is n(d(s))?\nAnswer: -68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m = 15*m + 147. Suppose -34 + 4 = -l - 4*i, 175 = 4*l + 5*i. Calculate the remainder when l is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 8*z - 11. Give p(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11306 - -11317. Solve -22*h - u + 99 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -0.123, -2\/89.\nAnswer: -4, -0.123, -2\/89, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 24*v = 52*v + 140 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.76 * -4.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2\/5 + 154887561*i\/5 = 0. Calculate i.\nAnswer: 0, 51629187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -23892.855 to the nearest 100.\nAnswer: -23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -22012.\nAnswer: 3\/22012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*u - 4322 = 4493, -c + 5*u - 1763 = 0. What is the tens digit of 15\/135 + c\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.411591 decades?\nAnswer: 409.39092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + 43. Suppose 9*z = 866 - 101. Let q = z - p. Solve 0 = 4*y + 8 + q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*j - 142*j - 30*j**2.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2867465*n**4 + 8126256*n wrt n.\nAnswer: -34409580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48 + -13787?\nAnswer: -13738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16114928 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -49\/5 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40760353?\nAnswer: 73, 647, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*v**2 + 3*v**6 + 108*v**5 - 57*v**5 - 58*v**5 wrt v.\nAnswer: 360*v**3 - 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72546794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3219763 take away 22600.8?\nAnswer: -3242363.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1339 and 2987.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**2 + 5344*j = 0?\nAnswer: 0, 1336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-48)\/(-18). Let p(l) = -11*l**m + 8*l**2 - 6 + 2*l**2. Calculate p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195608 is divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 581 and 24319.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 13*v**3\/3 + 103*v**2 + 213*v. Let n be w(-8). Let m(j) = 2*j + 0*j + 0*j - 3*j**2 + 1. What is m(n)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97643 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w + 94. Let a(j) = 31. Determine 7*a(b) - 2*x(b).\nAnswer: -2*b**2 - 2*b + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 14*m - 11*m)*(-m + 1 - 1 + (m + 0 + 0)*(3 + 1 - 2) - 2*m + 2*m + 2*m - 2*m + 4 - 5 + 2).\nAnswer: -22*m**2 - 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-2 - -4 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 6. Suppose -8*k = -3*k - 2*y - 17, k + 1 = -4*y. Let z(x) = x + 1. Determine k*p(t) - 16*z(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*b + 1 + 2)*(0*b - 2*b + 0*b) + 216*b**2 + 19 - 144*b**2 + b - 18.\nAnswer: 68*b**2 + 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15604507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 127. Let k(f) = f - 1. Let u(l) = -a(l) - 4*k(l). Let t be u(13). Calculate the highest common divisor of t and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)*f**(1\/5)*f)**(-50) assuming f is positive.\nAnswer: f**(-380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105)\/(-33) + 4\/(-22). Suppose 15 = -s*t, x = 6*x - t + 55. Let w = 17 + x. What is the greatest common factor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15 and -700722173802.\nAnswer: -700722173802.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017520 is divided by 298.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -6 - (-1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3 - 51\/(-6)). Let i = -5 - u. Let k = 22 - i. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2048*a - 1883 = -201*a + 20281 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-3)\/(-6)*0. Solve 0 = k + 1 + 2, 4*s = c*k + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 12*h**3 - 1. Let o be r(-1). Let l(m) = 7*m**3 + 18*m**2 - 24*m - 6. Let y(z) = z**3 + z**2 - z - 1. Let s(t) = l(t) - 6*y(t). Is s(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/99 or 0?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13 - 2*x + 0*x - 2. Let s be m(-5). Solve f - q + 3 = 0, -3*f - q - 2*q = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + -104. Let w be ((-3)\/a)\/((-1)\/2)*28. Let x be (120\/35)\/(2\/w). Calculate the highest common divisor of x and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2540 is divided by 220?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(48) - (-3 + 2 + sqrt(3))**2).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8 = -4*z. Let n = z + -6. Let v + v - n*v**3 + 0*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 9 = -7*c. Let t be (-1)\/(-299*4\/(-400) - c). Let b = 102 - t. Solve 3*p - 8*p + m - 1 = 0, -6 = -b*p + 2*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*d - 4, 3*d + 18 = -2*u + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4)\/(i\/(((i**(-7)*i)\/i)\/i))*i**(4\/3)*i\/(i\/(i*i\/(i*i*i**1*i*i)*i*i)))\/(i\/(i*i**12)*i\/(i*i**(-2\/13)*i))**(-35) assuming i is positive.\nAnswer: i**(-71297\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*a - 12, k - 2*a + 1 = 7. Sort -1, k, -4 in ascending order.\nAnswer: -4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3\/6 - 7*d**2\/2 + 28*d + 8. Determine u(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 0.11, -927, -0.04?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 35*s = 29*s + 42, -2*s + 10 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13948.4 - 13950. Which is the biggest value? (a) 0.7 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.4 - -5.6. Let j = i + 25. Round j to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 22*u.\nAnswer: -u*(u - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**3 - u - 70 + 70)*(-1 - u + 1) as a + f*u**2 + d*u**4 + y*u**3 + m*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3336172 and 1?\nAnswer: 3336172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:13 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/4920 and -121\/12?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 4*p - 2960. Let n = -597\/2 + p. Let a = 5.09 - 0.09. What is the smallest value in n, 4, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 5*t**2 + 4*t + 5. Let x(z) = -z**3 - 6*z**2 - 5*z - 6. Calculate 6*i(y) + 5*x(y).\nAnswer: y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**4 + 56540*n**3 + 160064455*n**2 + 1276391500*n - 1436512500 = 0.\nAnswer: -5650, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-160417 + 160417 - 5*b - 39*b**3).\nAnswer: -78*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.9, -5138, -0.1, 7, 0, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 + 43. Let h = r + 1604\/9. Let d(j) = -j**2 - 3*j - 4. Let o be d(-3). Which is the closest to 2\/7? (a) h (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34494 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7683659719?\nAnswer: 109, 1217, 57923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 517*v - 188*v - 10 + 234*v.\nAnswer: -471*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 87 - 123 = 4*y, 3*b - 26 = y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989433 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8294088 divided by -2136\nAnswer: -3883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 + 2*s + 5. Let h(x) = 11*x**2 + 4*x + 9. Let r(u) = -7*a(u) + 4*h(u). Let m = -11 - -8. Does 5 divide r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*13\/13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211156585.\nAnswer: 5, 6323, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:45 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/((-74)\/1554)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/5)\/(2\/30). Suppose -221 - 254 = -5*a. Let r = z + a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1423503292 to the nearest integer?\nAnswer: 37729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, -4, -12, 5 in descending order.\nAnswer: 5, -4, -12, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*h**2 + 66*h**2 - 87*h**2 + 74*h**2 + 141*h**2.\nAnswer: 351*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**4 + 2*v**3 + 16*v**2 + 8*v + 4. Let q(x) = -5*x**4 + 5*x**3 + 31*x**2 + 16*x + 7. Let a(u) = 4*q(u) - 7*t(u). Find h such that a(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18835 + -18422. Suppose -2*n + 73 = -19. What is the remainder when f is divided by n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 95448. Let i(j) = -3*j**2. Determine m(i(c)).\nAnswer: -6*c**2 + 95448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73671 = -559*h - 1330*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*c**2 - 17*c + 362?\nAnswer: -18*c - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-4)\/(-18)*-3. Let o be (-70)\/40*(-16)\/x. Solve 0 = j - 4*v - o, 5*j - j + 1 = -3*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 28. Suppose -n = 2*d - 6*d. What is the highest common divisor of 35 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, h: 3, c: 5, m: 3, l: 3}. Give prob of sequence cc.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 33014?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6 - (-27)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 k when four letters picked without replacement from kkukkuukkkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 326165?\nAnswer: 1956990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 u when three letters picked without replacement from {p: 3, v: 5, u: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-315))\/((-588)\/(-7056)) - (-2)\/(-14)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003097237 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((149760\/140)\/(-78))\/((-3)\/(-7)*14\/(-21))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130582 by -1.\nAnswer: 130582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*3\/(-15))\/(14\/35). Let w be ((8\/(-2))\/4)\/y. Let l be -2 - (w + -1)*1. Is -1\/6 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 266445*h\/4 + 5197959\/2.\nAnswer: -3*(h - 88854)*(h + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let a be (x\/(-2))\/(-3 + 2). Suppose -5*t - 3*z - 8 = 0, 5*t = 4*z - 3 + 2. Is a smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggiiww. Give prob of picking 2 w, 1 g, and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206 + 217. What is the highest common divisor of 264 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29383 - -18?\nAnswer: -29365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**4 - 5*v**3 + v**2 + 5*v + 3. Let z(h) = h**4 + h**3 - h**2 - h - 1. Let g(w) = -s(w) - 3*z(w). Factor g(d).\nAnswer: -2*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -70. Let c(v) = -v + 20. Let p be c(6). Let r(l) = 1 + 7 - p + 9 - 3*l. Let s(y) = 7*y - 7. Determine z*s(g) + 10*r(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 4*v**2 + v - 2. Let i be (2 - -6)*(-3)\/(-6). Let f be g(i). Let j(s) = -3*s**2 + s**2 + 4*s**f. Let r(z) = -3*z**2. Calculate j(r(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0.2, 1405 in ascending order.\nAnswer: -29, 0.2, 1405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7473008940 to the nearest 1000000.\nAnswer: 7473000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 4*t - 3*t - 3927 + 3927 - 114*t + (-2*t + 4*t - 3*t)*(-2 + 0 + 4) - 3*t + 0*t - 2 + t.\nAnswer: -116*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33144 by 6.\nAnswer: 5524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 160 = -2*b. Let y(a) = -2*a**3 - 3*a**2 - 4*a - 3. What is the remainder when b is divided by y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -4*l**2 - 98 - 4*l - 4\/3*l**3. Factor q(u).\nAnswer: -4*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.205 - -0.095. Which is the second biggest value? (a) j (b) 3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*g = 4, 4*j - 18 = 240*g - 239*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/42)\/6)\/(10\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.59 + 2.89. Let u = 0.3 - g. Let b = 3 + u. Does b = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*u + 7*u**2 + 57*u + 6*u**3 + 61*u to n*u + f + t*u**2 + l*u**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/12 and 2 - 2 - 82\/40?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -36*d - 2. Let q(l) = l - 1. Suppose -127*c + 314*c + 187 = 0. What is c*a(x) + q(x)?\nAnswer: 37*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 100010?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8006, -8000, -7982, -7946, -7886, -7796, -7670, -7502?\n\"Answer: u**3 - u - 8006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = n + 204*x - 208*x, 2*x - 2 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, 4, 2, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 18. Let m = -5.82 + -1.88. Let n = l + m. Sort -2, n, -0.1 in decreasing order.\nAnswer: n, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 195525, 195393, 195173, 194865, 194469, 193985?\n\"Answer: -44*o**2 + 195569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*y + m, -5*m = y - 7*m - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5794188 and 1356.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(-1 + 0 + -4*(-1 + sqrt(448))))**2.\nAnswer: -6912*sqrt(7) + 258372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, b: 5}. Give prob of picking 2 b.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xmx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 2 - 2)*((6 - 1 + 14)*(-2*a + a - a) + 4*a + 2*a - 5*a).\nAnswer: 148*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2\/3*b**3 - b**5 + 5\/3*b - 1\/3 - 2*b**2 + 7\/3*b**4 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143060 - -41451?\nAnswer: -101306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2*q - 6*k**2 + 81*k*q - 2*k - 592405*q wrt k?\nAnswer: -4*k*q - 12*k + 81*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8 + 9 + 0 - d + 2*d**2 - 2*d. Suppose 3*n - 4*v = -2 - 4, -4*n = -3*v + 1. Let c be u(n). Solve w + 2*j + c = 0, -2*w + 4*w = 3*j - 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8287108856.\nAnswer: 2, 13, 19, 443, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/8 - 35721*c**2\/4 + 17862*c.\nAnswer: -3*c*(c - 2)*(c + 23816)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3364539 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18053\/30105 - -2\/6021. Factor 1\/5*u + 3\/5*u**2 + t*u**3 + 1\/5*u**4 + 0.\nAnswer: u*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 33. Let j = k + -48. Let q(m) = -4*m**2 + m**3 - 1 + m + m + 5 - j. Determine q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:40 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -12858 not equal to -12858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/((sqrt(80) - (sqrt(80) - (3*sqrt(80) - sqrt(80))))\/sqrt(10) - sqrt(8)) + -4*(-2 + sqrt(7) + -1))*2 + 3)**2.\nAnswer: -324*sqrt(7) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 2*v**2 + 4*v - 4. Let m be r(-3). Let g(p) be the third derivative of p**5\/60 + p**4\/3 + p**3\/2 - 2*p**2. What is g(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in 0.05, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -518, 0, -2.\nAnswer: -518, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i**4\/11 - 706*i**3\/11 + 3546*i**2\/11 + 6082*i\/11 + 1820\/11 = 0.\nAnswer: -1, -2\/5, 7, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1. Let l(x) = -x**2 - 4*x + 1. Let n(m) = 2*b(m) - l(m). Let j be n(-6). What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-16)*16\/(-10) - -3. Is u at least as big as -2\/305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 31 = -5*r, d + 3*r - 8 = -21. What are the prime factors of (180\/8 - d)*14?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1745 and 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by 15?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284833 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/5)\/((-9)\/(-225)). Let y be ((-2)\/5)\/(2\/b). Let a = y + 19. Solve 4*m - a = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 4. Suppose -3*k + 16 = 7. Let n = k - 3. What is r(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/24 - (-2)\/3. Suppose m*j - 840 = -5*j. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 32 = -z, 10*j = 6*j + 3*z + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8134529 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 2)*(-2)\/4. Solve -j = -k - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -600 + 603. Solve 0 = -5*f - k - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3 or 127.07?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12045, 50217, 114521, 204957?\nAnswer: 321525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:04 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -992.133 to zero dps.\nAnswer: -992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -1\/3*i**4 + 0*i + 5\/6*i**3 + 0 + 2*i**2 + 1\/10*i**5 - 1\/120*i**6. What is m(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 774 and 20468?\nAnswer: 184212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 94752 divided by 423\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 5, -3 in increasing order.\nAnswer: -6, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40433 (b) 0.05 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 252 - 258. Sort 5, -1, 0, a.\nAnswer: a, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3572016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59197955 + -6.\nAnswer: -59197961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7811.6182 - 7801.3. Round r to one decimal place.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 - 4*x. Let y(k) = 3 + k - 3. Let a(u) = -c(u) - 4*y(u). Suppose -42 = -13*z + 6*z. Let h(d) = -d**2. Calculate z*h(q) + a(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.98 + 5. Let v = -0.02 + i. Which is the nearest to -1\/2? (a) v (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -44, -49, -52, -53, -52?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45843 is divided by 6543?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbcqcqjcqbcqccc. What is prob of sequence bqcq?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2434\/297149 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -4. Let b = -8 - g. Sort b, -2, 5 in increasing order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -91*l**2 + 662*l**2 + 710*l**2 - 1 - 237*l**2. Let x(y) = -y**3 + 9*y**2 - 10*y + 15. Let c be x(8). Is v(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**2\/2 - 2. Let x be a(-9). Suppose 2*v + 3*n + x + 2 = 0, 5*v + n - 5 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5407*r + 5412*r + 5, 0 = -r - 3*m + 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.37746 litres in millilitres?\nAnswer: 4377.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 + -22 - 18) + 1 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518483563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75146566*g**2 + 63099729 with respect to g.\nAnswer: 150293132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3\/2))\/m)**17 assuming m is positive.\nAnswer: m**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 7*g**2 - 5186*g + 115080. Give d(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.14. Let l = y + -10.76. Let g = l + 11. Sort g, 3\/5, -3\/4 in decreasing order.\nAnswer: 3\/5, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bowbcwocwwwbbswwe. Give prob of picking 1 c and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhrhzzzohhjjj. Give prob of picking 2 h and 1 o.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, 644, 1887, 3670, 5993, 8856?\nAnswer: 12259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b - 5 = t, 0 = 3*b + 9. Suppose -4*w + 354 = -3*h, -4*h + 32 = -2*w + 204. Calculate the remainder when w is divided by 3\/(-2) - (0 - 325\/t).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/10 + -1)\/((-4)\/(-40)). What is the closest to 0 in l, 1\/2, -3, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -105, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.9085 - -0.0915. Let f = -0.5 + 1. Which is the closest to i? (a) f (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 - 975*c + 316875\/2.\nAnswer: 3*(c - 325)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 24. Let r be w(10). Calculate the greatest common divisor of r and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((-8)\/24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3408398*p**2 - 722676 wrt p.\nAnswer: 6816796*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1. Let g be 1 - (-4)\/28*-7. Suppose g = -30*r + 34*r + 4. Let n(y) = 3*y - 2. Give r*n(i) - s(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -7 - (-54)\/(-9). Let j(m) = 10*m**2 - 2*m + 164. Let b(w) = 14*w**2 - 4*w + 163. Let a(u) = n*b(u) + 4*j(u). What is the derivative of a(h) wrt h?\nAnswer: -4*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, s: 1, d: 1, t: 4, r: 3}. What is prob of picking 2 r, 1 t, and 1 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169487 or 1525372\/9?\nAnswer: 1525372\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 264.5978 and 3.\nAnswer: 267.5978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 8}. Give prob of sequence yy.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*((-3276)\/39338)\/(-63)?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -3*n**4\/8 + n**3\/3 + 7*n**2 + 13*n. Let k(u) = 2*u. What is k(q(y))?\nAnswer: -18*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {k: 1, y: 3, u: 3, m: 2, f: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 8*k**2 - 44*k**2 + 10*k**2 + 22*k**2 - k**3 + 9. What is y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*h = -14 + 14. Solve 9*x + 10*x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-70)\/63) - 1\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.825 - 8.965. Round o to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-245)*(-195)\/390\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3 - 538646*o**2 - 1615931*o - 1077286 = 0.\nAnswer: -538643, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 3*r - 4\/3*r**3 - 1\/2*r**2 - 1\/2*r**4 - 1. Let m be c(-3). What is the highest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 159.\nAnswer: 159.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, h: 9}. What is prob of picking 1 h and 1 g?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-33 - 5) + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i - 2. Let b be k(-1). Let q be 5\/(-20) + (-42)\/b. Let c(v) = 3*v + 9. Let n be c(q). Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41277037, 41277036, 41277035, 41277034, 41277033?\n\"Answer: -q + 41277038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -5\/6*t**3 + 0*t + 0*t**4 + 29\/60*t**5 + 6*t**2 + 0. What is the first derivative of v(j) wrt j?\nAnswer: 58*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 2?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/13))**(-16\/9))**(-10)\/(((n*n*n**3)\/n)**21)**(10\/13) assuming n is positive.\nAnswer: n**(-7880\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137822 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3231 is divided by 661.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g**2 - 7*g + 2. Suppose 5*m + 30 = 65. What is the units digit of y(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 6*t + 10. Let n be r(-7). Suppose -s = -3*s + 8. Sort n, s, 5 in decreasing order.\nAnswer: 5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -225414412?\nAnswer: 225414404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 7*r + 48, -116*r = -3*z - 59*r - 54*r + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 884.77022 to 0 dps.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8984778 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 59. Let j = 50 - s. Let v be -18*(-3 - -2)\/1. Solve -j = 5*c + 3*r, -r + v = -5*c - 0*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -84, -128, -170?\n\"Answer: p**2 - 49*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 10*y + 14. Calculate r(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 + 9*a. Let d be o(-4). Suppose 3*k = k + d. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*i + 8, -3*i + i = 5*s - 14. Let u be 36\/21 + (-6)\/(-21). Let r be 7400 - (0 + (i - u)). What is r rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8 - 1 + 314*u - 308*u. What is the remainder when i(11) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/58357 and 29\/134670.\nAnswer: 1750710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 4876?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -6*a - 20 + 46. Let i be (-1)\/(-27) - (-3 - (-57)\/18). Do a and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -738, -2996, -6852, -12384, -19670, -28788?\nAnswer: -39816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11798 = -4*z + 11822 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:34 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2318*q - 2607. Determine n(-1).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4 and 14 - 18 - (-55)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.388786677167 and 0.6.\nAnswer: 0.211213322833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13696 and 307632?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = 20*q + 187 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -33. Suppose 3*n = i*n - 3. Suppose -3*m = 9, -n*s + 0*m + 66 = -5*m. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1 - 1. Solve -3 + 1 = -a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -301*b**2 + 119. Let u(i) = 15*i**2 - 6. Let g(p) = -6*o(p) - 119*u(p). Let c(a) be the second derivative of -a**4\/6 - 33*a - 5. Give g(c(l)).\nAnswer: 84*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 485007*j**4 + 6*j**3 - 4*j**2 - 8*j - 4184107?\nAnswer: 5820084*j**2 + 36*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0067513568 rounded to six dps?\nAnswer: 0.006751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 83 = -5*k - 2*h, -h = 2*k - 36. Let y be 83\/k - (-38)\/323. Suppose 7 = 2*t - y. What is the smallest common multiple of t and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008732 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 7*y**2 - 11*y + 13. Let v be t(9). Let b(f) = f - f + 4*f + v*f**2 - 77*f**2. Let d(u) = -u**2 + 5*u. What is 5*b(m) - 4*d(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + o + 3*o - 5*o - 6*o.\nAnswer: -2*o**2 - 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6222 and 70685031.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 20*t = -15*t + 41, -4*t - 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 - -289. Suppose -21*y = -26*y + h - g, -y - 2*h = 17. Let d(v) = v**3 + 11*v**2 - 6*v + 16. Let b(u) = 2*u**2 - u + 3. Determine y*b(j) + 2*d(j).\nAnswer: 2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5562995 millimeters in centimeters?\nAnswer: 0.05562995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 58 - 17*u + 20*u)*(-2*u**4 - 6*u**4 + 2*u**4).\nAnswer: -18*u**5 - 618*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 2, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149718 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202353548?\nAnswer: 2, 3, 11, 53, 171863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -60, -57, 116, 597, 1524, 3035, 5268?\n\"Answer: 23*m**3 - 53*m**2 + m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -13*w - 7. Suppose 0 = 11*r + 34 - 144. Suppose -r*o + 17 = 47. Let t(l) = 7*l + 4. Determine o*g(d) - 5*t(d).\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1431?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11. Let k(q) = 13. Let m(p) = -6*b(p) + 5*k(p). Let n(r) = -2*r - 3. Calculate m(c) - n(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/10 + 3*x**4\/8 - 5*x**3\/6 - 2*x**2 + 1267. Let g(i) = 17*i**2 + 27*i - 14. What is 8*f(z) - 3*g(z)?\nAnswer: -3*z**2 - 9*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103144 (base 13) to base 6.\nAnswer: 12034301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -p - 0*p. Let u = -28 + p. Let r(i) = -i. What is r(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5986779 >= -5986675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*m + 9 = -6, 4*w = -2*m + 28. Suppose -11*f + 1602 = -w*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1.39 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17072527 to the power of 1\/2, to the nearest integer?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -17. Let j = 10.5 - k. Let v = 1.5 + j. Which is the closest to -1? (a) v (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.5 (b) -4 (c) -5 (d) 5.4 (e) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*m + 1012*m + m**3 - 510*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Suppose -2*n - z*w - 10 = -4*n, 2*n = -2*w + 22. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1707 - 847 + 29*d - d**3 - 1017 wrt d.\nAnswer: -3*d**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -54\/7*y**3 + 9*y**2 - 33\/14*y**4 + 0 - 1\/210*y**6 - 19\/105*y**5 + 0*y. Factor j(q).\nAnswer: -4*(q + 1)*(q + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 14 = 0. Find the second derivative of 2*y**2 + 0*y + y - i*y**2 - 3*y wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -39*v + 271. What is f(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhhhhliliilii. What is prob of sequence hhhh?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:30 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5 (b) -120 (c) -1\/5 (d) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 694083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-2\/7)\/d*d*d*d)**37\/(d*d\/(d\/(d*(d\/(d*d**12))\/d*d))*d**(1\/3)*d*d) assuming d is positive.\nAnswer: d**(3047\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(33)\/(3*sqrt(75)) + -1 + -2.\nAnswer: sqrt(11)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + k**5 + 0*k**5 + (k**4 + 0*k**4 - 2*k**4)*(k + 2 - 2) + 18*k**5 + 27*k**3 - 27*k**3.\nAnswer: 19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3212 and 25982?\nAnswer: 3793372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -3*z, -3 = -z + 2*s - 4*s. What is the common denominator of (5 - z) + (-95)\/4 and 87\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-43 + -3 - -6 - -19).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)\/(3 + (-33)\/6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**6\/d)\/(d*d*d**(-1\/4))*(d**(2\/5))**(-6\/13)*d**0\/(d**(-1)*d)*((d\/d**0)\/d*d)**(-23\/4) assuming d is positive.\nAnswer: d**(-89\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:05 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:52 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45 - -42)*(-8)\/6. Solve -w - 5 = -y*n - 0*n, -n = 3*w + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/10)*(r*(r**12\/r)\/r)\/r*(r*r**1)**(-44) assuming r is positive.\nAnswer: r**(-777\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, 7, 37, -284 in descending order.\nAnswer: 37, 7, 3, 1, -4, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyyz when four letters picked without replacement from {u: 1, f: 1, z: 2, y: 3, k: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 1. Let j be n(1). Suppose -14 = -11*k + 19. Put k, j, -2 in ascending order.\nAnswer: -2, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*v - 231*v - 270 = -119*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173\/3 - -57. Is -1\/3 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44, 3, 0.4, 0.3 in ascending order.\nAnswer: -44, -1, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 1. Let d = -405.79 - -405.89. Let i = 3 + -4. Which is the nearest to h? (a) i (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 144 - -9a0?\nAnswer: b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.2 or -0.0022085?\nAnswer: -0.0022085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 52283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*q - 9, 0 = -5*q - 0*q - 4*n - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-330)*-6*(60\/2)\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*h**3 + 16*h**3 - 21*h**3 + 70*h**2 wrt h?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/5785?\nAnswer: -6\/5785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, -38\/9, 0.5, 4, 0.03, -517, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(2736)*-2*6 + (-5 + -1*sqrt(2736) + sqrt(2736))*2*4)**2.\nAnswer: 12096*sqrt(19) + 395748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 497*x - 4871 - 2584 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 + 1. Let x(h) = 482*h**3 - h - 5*h**2 + 6 - 257*h**3 - 238*h**3. Calculate 5*s(y) - x(y).\nAnswer: 8*y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 11*g**3\/3 + 5*g**2\/2 - 7*g - 2. Let n(f) = -5*f**2 - 2*f + 3. Determine 6*l(r) + 14*n(r).\nAnswer: -4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**8\/840 - 3*t**4\/8 + t**3\/3 + 37*t**2. Let u(i) be the first derivative of n(i). What is the derivative of u(c) wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 25 = -i, 4*i - 13*i + 1730 = -4*y - 91*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55\/2 + 28. Let n be (-64)\/(-128) + (-2)\/8. Let n*s**2 + v - 3\/4*s = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3588 rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w**2 - 1. What is d(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/46 - (185850\/(-805))\/(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7436, -10461, -15502, -22559?\n\"Answer: -1008*u**2 - u - 6427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -17*d**4\/24 - 13*d**3\/6 + 5*d**2. Let c(b) = -9*b - 7. Suppose 7*a - 26 = -68. Calculate a*p(s) + 11*c(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 19*x**2 + 3*x + 778. Give n(-10).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q - 96 + 96.\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2, 5*r + p = r + 10. Suppose u + 10 = 3*u. Calculate the remainder when u is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.459 - -0.341. Let h = -48.28 + b. What is h rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92266*i - 96922 with respect to i.\nAnswer: 92266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = 128188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034288715 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13156.\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 18. Suppose 21*u - 7*u + 19*u = -u. Factor 3\/2*l**z + u - 3\/4*l - 3\/4*l**3.\nAnswer: -3*l*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157406305 divided by 31481261\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2806153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 11 - 0. Let p = 1 - -1. What is the remainder when 1*p*21\/2 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and -12456.\nAnswer: -460872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1629156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(-7)*y)*y))\/y)\/(y**4\/y)*y**(-2\/7)*y*y**(-1) assuming y is positive.\nAnswer: y**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 2*w**2 - 7*w - 5. Suppose 5*q - 5*h - 20 = -2*h, -4*q + 16 = h. Determine v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10 - 36*x + 0 + 6.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2)\/(39\/39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 307 - 122 - 185 - k. Let v(y) = y**2 - 3*y - 8. Let c(w) = -4*w**2 + 8*w + 23. Let r(t) = 3*c(t) + 8*v(t). Determine r(d(b)).\nAnswer: -4*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tztttszsztzz. Give prob of picking 2 t and 1 z.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (1\/(-1) - 143*-1). Suppose 0 = 3*y + 4*k + 679 - 243, -2*k + 692 = -5*y. Is d > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145 + 271 - 127) + 8 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929959 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504675749 a multiple of 1890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.4906 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 194151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -10.0516, -5\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28204078 and 0.2.\nAnswer: -28204077.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - 2) + 4 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 15*g**2. Let m(f) = -10*f. Determine m(j(k)).\nAnswer: -150*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116361 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. Let g(n) = 6*n + 0*n + 5 + 0*n**2 - 3*n + n**2. Let t be g(i). Solve t = -k + 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 428\/3 - 142. Let i = 0 + -0.1. What is the nearest to -0.1 in h, -3\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 89 + 35 + 380*l**2 - 58*l**2 to the form o*l + u + b*l**2 and give b.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**10\/105840 - w**9\/52920 - 5*w**4\/12 + 3*w. Let o(x) be the third derivative of b(x). Determine c so that o(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1847, 12960, 43037, 101558, 198003, 341852, 542585?\nAnswer: 809682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-4)*-3*-5. What is the highest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - 44. What is the highest common factor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(12\/16) + 4. Let f = 3 + y. Suppose f*p = -4*c + 5*p + 34, -4*c - p = -31. Solve h + c = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 12 + 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.1. Let o = j + -0.2. Let d = -544\/1855 - -2\/265. Which is the nearest to d? (a) 3\/2 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3 (b) -3 (c) -0.5 (d) 0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*o + 43, 4*o - 4*z + 419 = 495 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -53348430?\nAnswer: 1\/17782810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1626.858 nanograms to micrograms.\nAnswer: 1.626858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and -1310.\nAnswer: -1309.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -26. Let q(h) be the first derivative of 2*h**2 - h - 1. What is q(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*u)*(3 + 1 - 3) - 17*u + 178*u + 26*u + (-2*u + 2*u - 2*u)*(-3 - 2 + 3) + 0*u + 2 + 0*u - 2*u.\nAnswer: 191*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 36. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1118 - -1646. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-88)\/(-5) - 1) + -3)\/(10\/(-25))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 79 = -5*k + 24*a, -4*k + 56 = -5*a. Suppose 0 = -5*t - 2*c - 3*c + 345, 3*t + c = 217. What is the remainder when t is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.293, -0.2, -0.4, 3 in descending order.\nAnswer: 3, 0.293, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1879 + -2 - (11 - 9). What are the prime factors of 3\/(-12) - n\/28?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2203986 divided by 107\nAnswer: 20598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 43207265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -502, -5, -0.0492, 9\/8 in decreasing order.\nAnswer: 9\/8, -0.0492, -5, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35350 or -5?\nAnswer: 35350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1331 and 15488.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*u - 105*u + 6 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*90\/135?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z = -600 - 752. Solve -16*y = -90 + z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-2)\/((12\/26)\/(-3)). What is the greatest common factor of 36 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2163131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*u**4 + 12*u**3 + u**2 + 129155*u + 1 wrt u.\nAnswer: -1584*u**2 + 72*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*w + 3 = 1, y = -3*w + 13. List the prime factors of (-30)\/(-2)*((-210)\/(-10) + y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 4*d - 6. Let s be l(-6). Let y = 448 + s. Suppose -4*t + y = n + 74, -n + 4*t = -96. Is 30 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -104. Let y(l) = 4*l**3 - 5. Let q(m) = 10*m**3 - 12. Give k*y(z) - 5*q(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-874)\/190 + 3\/10*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 2, 48*x + 9*x = p + p - 1050 + 1101 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 413 and 413 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/8)*k\/(k\/(k**(-34)*k)) assuming k is positive.\nAnswer: k**(-267\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 7*i - 20*i)*(-1 + 1 + i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -4, -4\/7, 226, 3, 17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 7. Let u(i) = -138*i. Determine o(u(d)).\nAnswer: -138*d + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 8.283315.\nAnswer: -1.24249725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -128. Suppose 11*q = 6*q. Suppose 2*a + 4*d + 4 = q, -5*a = -3*a + d - 5. What is the remainder when t is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3262 and 11184?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 2 i when four letters picked without replacement from {o: 2, p: 4, f: 3, i: 6, z: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m + 18. Calculate the remainder when 85 is divided by g(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14464 and 29.5.\nAnswer: -14434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 194256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l*l*(l\/(l**(-2\/9)*l)*l)\/l))\/l)**(-16)*l**(-8)*((l*l**(9\/7))\/l)\/l)**(1\/8))**(-2\/21) assuming l is positive.\nAnswer: l**(-1381\/2646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14384 is divided by 164?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*z - 7, -4*z = z + 25. What is the remainder when 23 is divided by (u\/(-4))\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j. Suppose 944 + 1041 = 5*h. Suppose -i + h = -j*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 326, 557, 840, 1193?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:42 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -1, 1, -1\/265, 0.8, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4962017 by 11303.\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 5*h**2 - 7*h + 5. Let s be v(6). Let g = 0.08 - 0.86. Let w = -1.22 + g. Which is the second biggest value? (a) -3 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**5 + 0*v**7 - 1\/1008*v**8 - 1\/72*v**4 + 0*v**3 + 1\/180*v**6 + 9*v**2 + 0*v + 0. Factor d(w).\nAnswer: -w*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 485*f**2 + 245*f - 726. Give i(242).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 7*b + 4. Suppose -6*p + 24 = -16*p + 14*p. Determine t(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*((sqrt(77)*-2)\/sqrt(7) + sqrt(11) + -5) + ((sqrt(99) - sqrt(99)*1)*5 + sqrt(99))\/(sqrt(576)*-2))**2.\nAnswer: -730295\/256 - 1575*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.1, -6, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-114)*(6 - 45\/6). Which is the third smallest value? (a) 4 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p**2 + 165*p + 157. Calculate t(16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -53.25. Let s = u + -0.25. What is the second smallest value in -2\/3, 2, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.202, -1.318, -1.8.\nAnswer: -4, -1.8, -1.318, -0.202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 4, c: 3, g: 3}. Give prob of sequence hgc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 6*n + 7. Determine q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -5*o**4\/4 + o. Let k = -57 + 59. Let c(i) = 10*i**k + i**2 - 8*i**2. Calculate c(f(d)).\nAnswer: 675*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74842 - 27.\nAnswer: -74869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 5 (c) 7\/40 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 14. Let y = 7 + d. Suppose 2*i = -11 + 3. What is the third biggest value in -0.5, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -934508?\nAnswer: -3\/934508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b**2 - 16*b - 57. Let w be f(-5). Let x(i) = 2*i**2 + i + 3. Determine x(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + i**3 - 3*i**4 + 2*i**4 - 2*i**3 to the form n*i**4 + r*i**2 + u + d*i + l*i**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/10, -4\/7, 0, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1761*b**5 + b**2 - 1522*b?\nAnswer: -105660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 + 15*v**2\/2 + 4*v + 1. Calculate r(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**6\/45 + 121*m**5\/50 - 79*m**4\/10 + 353*m**3\/45 - 11*m + 262. Let z(p) = 0. Calculate p.\nAnswer: 0, 1, 353\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81696 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 4329\/4, 0.03, -2\/7, 0 in descending order.\nAnswer: 4329\/4, 0.05, 0.03, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 3*y + 2. Calculate q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236635123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -111. Suppose -6*j = -b - 98. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**2 + n - 5. Let p(g) = -12*g**2 - 2*g + 4. Let x be 0 - (-7 - -3)\/(-1). Let u(r) = x*d(r) - 5*p(r). Find the second derivative of u(i) wrt i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2216\/4177?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l. Suppose 3*g + 4 = 7. Let k(s) = 8 - 7 - g + s. Calculate u(k(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 4. Let m = 2221 - 2225. Calculate w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 275 (b) 86 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*x**4 + 1043424*x**3 - 39646863*x**2\/2 + 188317455*x\/2 = 0. Calculate x.\nAnswer: 0, 19\/2, 173885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -m + 274, 377 = m + 4*p + 121. Suppose c - 12 = -4*j, -4*c - c + 3*j + 129 = 0. Calculate the highest common factor of m and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4546 - -18181\/4. What is the smallest value in 2, l, 5, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(1008\/171)*2 and -43*2\/40 - -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*u + 16 = 0, -49*u + 14341 = -7*c + 2*c + 14321 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/20 and 109\/111984?\nAnswer: 559920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 25376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103331.\nAnswer: 191, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -3 (c) 0.279 (d) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 810181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -125.49?\nAnswer: 126.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (15 - 6) - (-19 + 18 + 2) - 53\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 52\/17, -0.3, -4, -5\/4, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.4875 millennia to months.\nAnswer: 6857850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5780327 and 82838.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 21 = 2*x - 5*x, -3*x + 3*h = -51. Is x <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (1 + -12)) + 9 + 8 + -145.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 3 = 0. Suppose c = -4*g + 56, -y*g + 2*g - 4*c = -29. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.4 + -6. Let j = m + 8.6. What is the biggest value in j, -5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320830089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:14 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1537 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0044 + -1.0044. Which is the closest to m? (a) -2\/9 (b) -3 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -328, -399, -496, -601, -696, -763, -784, -741?\n\"Answer: 3*h**3 - 31*h**2 + h - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 204\/(-312) + -1 + (-15)\/(-13). Which is smaller: 13442 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5813 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 9 = u, 78448*u - 78453*u = 3*d - 31 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from {a: 1, l: 4, b: 10, w: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 95.439 + -144.2\nAnswer: -48.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 2:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**5 - w**5 - 3*w**5)*(-3 + 4 + 0) - 2141*w**5 - 40*w**4 + 2126*w**5 + 64*w**4.\nAnswer: -17*w**5 + 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*s - 3515 + 3515 as j*s + i and give j.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729088 is divided by 10381?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*t**2 + 43*t**2 - 1179*t + 1213*t - 2 wrt t.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, and 2 r when four letters picked without replacement from drdddddrddrrmrrrer.\nAnswer: 56\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 8:38 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5 + 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*k**2 - 42*k**2 + 33*k**2 + (-2*k - 2*k + 6*k)*(-2*k + 6*k - 2*k).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6) - 80\/(-6). Suppose 0 = -2*n + 6*n - d. Solve 6 = f + n*f + 2*k, k - 2 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394 + -338. Let r be z\/(-2)*(-82)\/164. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-18) - (84985\/4485 + 12\/234).\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/1067 and -46\/77.\nAnswer: 7469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h + 30. Let z be (-93)\/(-12) + (-27)\/36. Determine k(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.9. Let g = -4 - -5. Let v = 13 - 27\/2. Which is the nearest to w? (a) g (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(7\/7)\/9*4\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 + i. Give d(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhvesg. Give prob of picking 1 g, 1 v, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-14) - (-10 + (-14079632)\/(-49)). Round m to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -49*m - 5453. Give o(-113).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:56 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -426313298 and -426313299 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -13*v**3\/6 + 2*v**2 + 8*v. Let r(m) = 3*m - 1. Suppose 3*t = 6 - 33. What is t*r(w) - 2*j(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -1.75 (c) 2\/27 (d) -854 (e) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/35 or 0.77517?\nAnswer: 0.77517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*j = -190*j + 24. Let d = 31\/4 - j. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -76. Let v be (p\/4)\/(3\/(-1)). Which is smaller: v or 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127\/4149 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + 54 - 103 + 49.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 32 - 1623*d**2 + 1624*d**2 + 11*d + d. Calculate k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*37565.\nAnswer: -225390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 19. Let i = -1.6 + -14.4. Let d = i + a. What is the third biggest value in d, 0, 1\/4, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 - ((-195750)\/1131 - -96)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 3. Let j(a) = -38292*a - 6. What is m(j(k))?\nAnswer: 38292*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2624, 2630, 2624, 2600, 2552?\nAnswer: 2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -27*u + 0*u**2 - 1\/2*u**3 + 31. Let t(y) be the first derivative of j(y). Let s(n) = -7*n. What is s(t(g))?\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 3:53 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 169*i**2 + 566*i + 82. Determine n(81).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/10)\/(2\/110). Suppose y = -2*g + v, -y + 5*y - 52 = g. What is the smallest common multiple of y and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 6*c - 300, c = -4347*d + 4343*d + 185 for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 19*n + 3. Let y be v(-9). Let f = y - -89. Solve 3*u + f = 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 456 = -4*b, -4*b - 4*d - 112 = -600. Suppose w - b = -w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/30 + 7*a**4\/12 - 5*a**3\/3 - 4323*a**2. Calculate w(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2 + 3*k + 3. Let q(m) = -12*m**2 + 7*m + 7. Give -7*d(v) + 3*q(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/60 + v**3\/30 - 10*v - 6. Let x(i) be the first derivative of z(i). Solve x(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -32, 22, 128, 304, 568?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1197*-0.06.\nAnswer: -0.007182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000390302391 rounded to 5 dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.3434.\nAnswer: 0.13434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6 - z**2 + 2*z**2 - 4*z**3 - 7*z**2 - 5*z**3 - 8*z. Let q(n) = 8*n**3 + 5*n**2 + 7*n - 5. Determine 5*m(d) + 6*q(d).\nAnswer: 3*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.9 - 20. Let d = -35.4 - -35. What is the nearest to -2 in j, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {i: 1, b: 3, y: 3, h: 2, p: 1, u: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 4 = 22*n, 0 = v - 4*n + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let q(z) = -z**2 - z - 12. Let w = -1753 + 19245\/11. Find the common denominator of q(r) and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -993795 - -36775740\/37. Let n = -144 + s. Let x = -1495 + 1496. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/98 and -47\/49196?\nAnswer: 49196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 704698607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 4*z, 5*z - 3 + 0 = 4*b. Let q(y) = 2*y**2 - y + 4. Let k(n) = 28*n**2 + 330*n - 17. Calculate the remainder when k(-12) is divided by q(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17109 + 7705. Calculate the remainder when h is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 54, 111, 204, 345?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 53*z**5\/5 - 19*z + 32. Find the first derivative of o(j) wrt j.\nAnswer: 212*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2369 - 1638. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 - 6*g + 5. Let m(o) = -6*o**2 + 0*o - 5*o - 2*o + 6 + o**2. Give -5*m(w) + 6*p(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 5*b = d - 29, -4*b + 61 = 5*d. Calculate the highest common factor of 450 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 4. Let c(z) = z - 1. Let u(d) = -4*c(d) - i(d). Let g be u(-6). Suppose g*w - 6 = 7*w. Is -6 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/10 + y**4\/3 + y**3\/3 - 15*y. Factor u(s).\nAnswer: 2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 1. Let l = 306 + -279. Suppose -5*q = -y + 2, -3*y - l = 5*q - 93. Let o(z) = -12*z - 3. Calculate y*g(t) + 6*o(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from sskqqpqvpvnp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022527 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1, -56.2, -0.5, 5.\nAnswer: -56.2, -0.5, -0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(35\/14830) - 8\/(-2). Suppose s + y = 19*s. Calculate the highest common divisor of s and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085751?\nAnswer: 101, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s - 559*s**3 + s + 567 - 565 + 3*s**2 wrt s?\nAnswer: -3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25 + 2a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44795778091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 233245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 643, -5, 0.2, -0.05, 11?\nAnswer: 643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623906885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 9*p**2 + 2. Determine k(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 3*z**2 - 4*z + 2. Let w(x) = -3*x - 11. Let q be w(-5). Let o be h(q). Which is the smallest value? (a) -3 (b) o (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, and 1 u when three letters picked without replacement from igfjdfudi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from joljml?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(68)*-1 - sqrt(68))**2 - -1*(sqrt(51)\/sqrt(3) + 3 - (sqrt(68) + 2))**2.\nAnswer: -2*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 4*c = -16*o - 5, -30 = 5*o - 3*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 11828900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 12:08 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -3*y. Suppose a = -y*b + 5, -2*b - 35 - 8 = -3*a. Solve 20 = -5*p + 4*o, 5*o = 2*p + a - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -4, -5, -1, 51 in decreasing order.\nAnswer: 158, 51, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -8 - 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -319*n**2 - n - 1. Let f be x(-1). Let m = -188 - f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 - 157. Solve -18*g + r = -20*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22065 + 45*j - 22065)*(2*j + 2*j - 3*j).\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -457?\nAnswer: -8\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = 37*d - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290890366 to the nearest integer?\nAnswer: 17056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus -6146715099?\nAnswer: -6146715098.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 543277163 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = 3*u. Suppose 10*i - 170 = 27*i, 50 = 2*k + 175*i - 180*i. Factor 2\/7*j**2 + 2\/7*j**u + k*j + 0.\nAnswer: 2*j**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/9 + 27000758*b**2\/9 - 54001508*b\/9 = 0?\nAnswer: 0, 2, 13500377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5471723*x**2 - 5225218 with respect to x.\nAnswer: -10943446*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1808 - 445. Calculate the greatest common factor of i and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014319353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + 457. List the prime factors of z.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.407 + -0.053. Let w = -0.86 - b. Sort w, 4, 0.5 in decreasing order.\nAnswer: 4, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182 - -185. Suppose -3*n - 3*j + 51 = -6*j, 0 = -n + s*j + 9. What is the remainder when n is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*r + 18 = 10*r, 2*g - 25 = 3*r. Solve -5*w + 10 = -3*l, -2*l - 5*w + g = -2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*t = -88*t + 4500 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + 0. Let w(o) = -28*o**2 + o - 1. Let z be w(1). Let q = t + z. Let g(d) = -10*d - 12. Let v(l) = l + 1. What is q*v(j) + g(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:42 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 15. Let c(l) = -l - 8. Suppose -9*a - 3 = -10*a. Let v(o) = a*i(o) + 5*c(o). What is the first derivative of v(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 629*j**2 + 3*j + 5. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 3*f + 3. Let m be v(4). Let t = m + -3. Suppose -17 = -a + t*q, 0 - 2 = 2*q. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -2.21.\nAnswer: -15.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -7210.\nAnswer: -1\/7210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 6.4 (c) -1203 (d) -7 (e) -3 (f) -4 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -618\/8915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 5:40 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 786, 1796, 3232, 5106?\nAnswer: 7430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(252))\/sqrt(1936))**2.\nAnswer: 567\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 6*z - z. Suppose 28*i - z*i = 15. Suppose -63 - 147 = -2*j. What is the highest common factor of j and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292781 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/174*20*12\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f + 14. Determine g(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3225993561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777390 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370085 by 10.\nAnswer: -74017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(sqrt(32)*-1 + sqrt(32)))**2 - (2*(sqrt(72)*2)\/sqrt(4))**2.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -406 + 688. Suppose m = 6*b - 1116. Let w = 444 - b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuvujssuzs. Give prob of sequence vz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -446, -1247, -2388, -3863, -5666, -7791, -10232, -12983?\n\"Answer: z**3 - 176*z**2 - 280*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 90857 divided by 29\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*p + 6, 3*a + 4*p = a + 4. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 16*a**4 - 668*a**3 - 14776*a**2 - 17572*a - 3480 = 0.\nAnswer: -15, -1, -1\/4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 3) + (-45)\/(-5). Find the first derivative of -1 - d - 7*d - g + 0 wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -817.24932 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(315)\/(sqrt(25)\/(-1*sqrt(5)))*-6.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 9. Let c be m(-3). Suppose c + 28 = 2*w. What is the derivative of -13*r**2 - 16*r**2 + 4*r**2 - w - 25 wrt r?\nAnswer: -50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -56) + (-1 - -1) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14 - 9*n**2 + 13 + 9*n + 7*n**2. Give m(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 1, o: 1, z: 2, t: 1, a: 1}. What is prob of picking 1 a, 1 z, 1 o, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1693 - 1689. Solve 4*c - 12 = -z, -r*c + z + 12 = 6*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 - 1 = -3*k, -2*k + 26 = 5*r. What are the prime factors of (r\/(-5))\/((-4)\/90)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 95 = 10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -272, -274, -276?\n\"Answer: -2*y - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/24 + 9)\/(2\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*c = -2*h, 2*c = 5*h - 2 + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 6\/12*2. What is the third derivative of 0*l**2 + l**6 - 51*l**i + 4*l**2 + 37*l**4 wrt l?\nAnswer: 120*l**3 - 336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -294*q**5\/5 - 132*q + 143. Differentiate d(b) with respect to b.\nAnswer: -1176*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 523, -2 in ascending order.\nAnswer: -9, -2, 523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 8:20 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -143739 in decreasing order.\nAnswer: 0, -3, -143739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 5, -0.4, 3\/8, -3\/28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 553849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2863?\nAnswer: 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 250 - 101 - 23 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:49 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.78 in 2\/11, -0.0012, -27?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63a2 - 36?\nAnswer: -6418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {f: 7, z: 1, i: 1, b: 2, p: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5221.\nAnswer: 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -83, 0.35, 190\/203?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404059649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4 - 10. Suppose -1 = -5*f + 5*y + 4, -3*f - z = -5*y. Find the first derivative of 70*n**4 - 10 - 89*n**f - 7 wrt n.\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-4*3 + 3.\nAnswer: -12*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 27303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.261 - 219.739. Let n = o + 230.102. Let h = n + -10. Round h to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*p - p. Let b be 5 - (2 + 0) - (1 - -6). Let o(y) = -2*y**3 + 2. Let z be o(0). Sort z, b, p.\nAnswer: p, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35090 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6 and 91\/184933176.\nAnswer: 184933176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -0.044, 1\/2, 0, -2\/9, 2.\nAnswer: -6\/5, -2\/9, -0.044, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 1:26 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/11))**(2\/87)*(x\/x**(2\/11))**24 assuming x is positive.\nAnswer: x**(570\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1617220 is divided by 147002?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 96228274 less than or equal to 96228274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 + 1. Let k(q) = -16*q**4 - 2*q**3 - 2*q**2 + 4. Let t(r) = 2*b(r) + k(r). What is the first derivative of t(l) wrt l?\nAnswer: -64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-3)*v*v*v**7)\/(v\/(v*v*v\/(v**(-1\/8)\/v*v)*v)*v)**(-47) assuming v is positive.\nAnswer: v**(-743\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4285 = -2*f. Let c = 1551 - f. Let q = 5467\/8 - c. Calculate the common denominator of -9\/2 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2004 + 292583\/146. Which is the biggest value? (a) -3\/2 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*r + 2, 2400*w + 8 = -2*r + 2404*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 + 963. Calculate the remainder when g is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21010302 (base 5) to base 10.\nAnswer: 172577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*v + 6. Let r = -3 - -3. Let z be (33 - -3)\/(r + 1). Calculate the highest common divisor of v and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 0*d**5 - 2*d**5 - d**5 + 3*d**5 + 0*d**5 + d**5 - d**3 + d**3 + (-2*d**5 + 2*d**4 - 2*d**4)*(3 - 3 + 1) - 1 + 1 - d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*q*w**3 - 4*g*q - 30*g*w**3 - 58*g*w**2 + 3010*g - 2*q*w + 2*q + 17016*w**3 wrt w.\nAnswer: 12*g*q - 180*g + 102096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0.06857 (c) -1.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.058339+-177\nAnswer: -176.941661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45 + -256?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3496*i + 14364 = 1250*i + 4872. Determine t so that -282\/7*t + 6627\/7 + 3\/7*t**i = 0.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 348, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 39. Let z be r(0). Let f be z\/(-6) + 1\/2. Let q = 18 - f. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88418402*g**2 - 19016140*g + 1022450 = 0.\nAnswer: 715\/6649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 10*j - 24. Which is bigger: 14 or j?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 4, -5, -1 in increasing order.\nAnswer: -16, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**4 - 6*s - 227 - 62*s**4 + 215 wrt s.\nAnswer: -648*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2138, -2\/3, -4, 4 in increasing order.\nAnswer: -4, -2\/3, -0.2138, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2471443?\nAnswer: 13, 17, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 570024 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190 + -328. Let p = g - -250. Suppose -s - s = -p. Calculate the remainder when s is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0.038, -0.1, -4, 98\/5, 0.1 in descending order.\nAnswer: 29, 98\/5, 0.1, 0.038, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -2.4. Let i = 3.0679 - -0.9321. Let v = 74\/65 - 20\/13. What is the nearest to v in -0.2, w, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -103*x**3 + x. Let z be o(-1). Suppose 0*w = 3*w - z. What are the prime factors of (-1)\/(3 - 104\/w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -60.7. What is the third smallest value in 0.15, y, 0?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -113*f - 1134. Determine j(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*v - 26 - 4, v = -2*s - 3. Let k = s - -14. Suppose r + r - 38 = 0. Calculate the remainder when r is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7905 and 318.\nAnswer: 837930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-6))\/k*k**2)**(-18) assuming k is positive.\nAnswer: k**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3559654 + 6540346. Let u be (-1)\/1 + (o - -1). Round u to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) - 2\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 33. Let u be j(0). Let o = u - 23. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2102 (base 5) to base 13\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:40 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 40 = -18*i. Suppose -11*u - i*u = -15*u. Suppose 0*o + 5*o - 105 = u. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.4 + 14. Let h = 4 + -3. Let z be (2\/6)\/((-2)\/3). What is the nearest to h in z, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(45).\nAnswer: -6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149897*w**3 - 3*w**2 - 14791 wrt w?\nAnswer: 899382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -20856.1.\nAnswer: 31284.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.347 (b) -0.3 (c) 4.9 (d) 1\/4 (e) 2\/19 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/120*5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxvxxxxvxvxx. Give prob of sequence xv.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*t + 102. Let h = 164 + t. List the prime factors of h.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-750)\/144))\/(5\/(70\/28)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20002220 (base 4) to base 2.\nAnswer: -1000000010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374290 = -20*r + 16959 + 371731. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 3*k**2 + k**2 + (k - 4 + 4)*(-3*k + 0*k + 0*k) + (0*k**2 - 2*k**2 + 3*k**2)*(-3 + 0 + 5)*(10 - 6 + 12).\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 221613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 1 - 2 + 3*k - 4. Calculate the least common multiple of d(7) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnbnjavlaalvja. What is prob of picking 1 b and 1 j?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4642 minus 5983572.19?\nAnswer: -5988214.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35871788?\nAnswer: 2, 8967947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose 4*o = 16, -3*o = 3*a - t*o - 21. Let b(z) = 2*z**3 - 3*z**2 - a + 4 - 3*z**3 - 2*z. Give b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*i - 23, -1296*n - 41 = -5*i - 1299*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 2*o**2 - 5*o**2 + 2. Suppose 5*t + 3 = -0*u + 2*u, -3*t = -4*u - 1. Let m = -1 - u. Give b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 0*c**2 - 2*c**2 - 3*c**2 + 3*c**2 - 2*c**2 + (0*c + 2*c - 4*c)*(3*c + 3*c - 4*c) - 28*c + 28*c - c**2 + 2.\nAnswer: -5*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**4 + 595*g + 12*g**4 - 245*g)*(-g + g - g).\nAnswer: -2*g**5 - 350*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -957, 0.05, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3774*t**2 + 814*t + 407. Let s(w) = -37*w**2 + 8*w + 4. Calculate 4*n(q) - 407*s(q).\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.256 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105a34b (base 12) in base 7?\nAnswer: 35261402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42093*h**2 - 42122*h**2 - 42116*h**2 + 126324*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/4 (b) -2\/11 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 750294 - -1396266. Let o = -596560 + a. Round o to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31050392, 31050382, 31050366, 31050344, 31050316, 31050282, 31050242?\n\"Answer: -3*h**2 - h + 31050396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 20.115559.\nAnswer: 12.115559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/4 + 47\/12. Let j = -2 - -1.6. Let m = 0.5 + -0.3. Which is the third biggest value? (a) j (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*w + 50057, -34*y + 38*y = -w + 12537. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3165\/422*(-5)\/(-150)*436?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5466 divided by -3.\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + -2 - (-8 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2536778484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 z when four letters picked without replacement from nzzzzznnnn?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(-48) assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 16605*p**2 - 668568*p - 2408400.\nAnswer: 3*(p - 5575)*(p + 4)*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 25\/4 (b) 106 (c) -1 (d) 0.3 (e) -517\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -0.38. Put f, -5, 0.2 in ascending order.\nAnswer: -5, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0227776483 rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-169)\/2*16\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 10025925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -0*j. Suppose -84 = -38*a + 10*a. Sort j, a, 1 in decreasing order.\nAnswer: j, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -117. Suppose 5*o - o = u. Let j be (-6)\/o - (-8)\/20. Solve j = 4*y - 5*q + 40, -2*y - q - 16 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-44) - 4\/(-22))*1105. Suppose -3*x - 2*x = -c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29612*m**2 + 525*m - m**3 + 360*m + 29610*m**2.\nAnswer: -m**3 - 2*m**2 + 885*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -0.17, 0.5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1116700 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(80) - -5*-3*sqrt(80))*5))**2.\nAnswer: -17920*sqrt(5) + 6272064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 + 36. Let y(n) = -n**2 - 3. Let z(l) = x(l) + 12*y(l). Let i(t) = -24*t. Calculate z(i(q)).\nAnswer: -2304*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.82 and -545.\nAnswer: -528.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4506002\/9 + 2\/9*g**2 + 6004\/9*g = 0.\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 2*r. Suppose -5*h = -r*x - 760, -3*h + 37 = -x - 415. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2189 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 540397*m**5 - 80*m**2 - 64*m - 1?\nAnswer: 32423820*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2718 = -6*o + 1458. What are the prime factors of o?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 0.012688.\nAnswer: 0.0114192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Let 96*s**2 + 1161 + 32*s**3 - 1097 + 0*s**2 + b*s**4 + 128*s = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5948*f**2 + 2970*f**2 - 72 - 76 + 148 as v*f**2 + t*f + h and give v.\nAnswer: 8918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + d + 0*d = -245, 3*a = -5*d + 119. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14609)\/(-2) - ((-21)\/6 - -3). Suppose 0 = -r + 5152 + f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111220020001 (base 3) to base 15.\nAnswer: -560ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 48)*(-5)\/4 - (-68 - -57)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*h - 545 - 939 - 549 = -557 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/754720 and 117\/4793320.\nAnswer: 1706421920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 947 and 5.\nAnswer: 4735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.936057 years?\nAnswer: 0.3936057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 743380 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 2*p + 5*p = 0. Suppose -4*j + 111 - 992 = -i, -3*i - 2*j + 2671 = p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045784849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2945*j + 144. Let k(t) = 2943*t + 120. Let b(c) = -5*h(c) + 6*k(c). Let u(g) = -g. Give b(u(r)).\nAnswer: -2933*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhhghhghhghhhhhgg. Give prob of picking 1 g and 3 h.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 243, 477, 709, 939, 1167?\n\"Answer: -s**2 + 237*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and (-9)\/(-50)*5\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247143.3 milliseconds in minutes?\nAnswer: 4.119055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22036 is divided by 10671?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-36)*(-9)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-735)\/56 + 8\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*c = -267*c - 4754226 + 1955190. What is c rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 1381*j**6\/60 - 328*j**5\/15 + j**2 - 25*j. What is the third derivative of i(k) wrt k?\nAnswer: 16572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 26*l - 124. Let t be v(-7). Solve -8 - 37 = -t*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10068149 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = j + 14, -5*j + 19 - 56 = -4*k. Suppose 0 = -3*i - k, 2*p - 35 = 4*i + 101. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 395 - 228. Let l be j + (-9 - -6 - (1 + -2)). Let o = -92 + l. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.026*-0.01.\nAnswer: -0.10026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*q - 11358 + 17062 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 10. Let b be y(5). Suppose 5*w - 2*s = 11, 2*w + 1 = s + b. Let m(j) = 3*j**2 - 5*j + 2. What is the tens digit of m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*g + 10, 3*g - 5*q = -83 + 58 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16881 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92403, 92578, 93061, 94008, 95575?\n\"Answer: 26*g**3 - 2*g**2 - g + 92380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 163*r + 3256 = 0, m + r = 62 - 44 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 14*f - 10. Let i(v) be the second derivative of -v**4\/24 + v**3\/6 - v**2 - 3*v. Let s(r) be the first derivative of i(r). Give 12*s(b) + x(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 2089.85?\nAnswer: 2089.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -7\/2, 10180, 3.\nAnswer: -7\/2, -1.1, 3, 10180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -322, -733, -1310, -2053?\nAnswer: -2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j**3 + 19*j**2 + 6*j - 4. Let q(r) = -r**3 + 3*r - 2. What is g(x) - 2*q(x)?\nAnswer: -7*x**3 + 19*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*60 - (-13 + 13). Is 21 a factor of 75\/k + (-7235)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1962152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60982 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0622 and 0.684?\nAnswer: -0.0425448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 6. Let s be c(14). Solve 36*r - s = 41*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b + 1 - 1 + 69*b - 60*b - 13*b - 26*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 34?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 3 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 2, l: 2, t: 3, f: 10}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and -135.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533*s - 1034*s - 490*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16102 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -196768a (base 11) in base 2?\nAnswer: -1100101010010011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 320*z**3 + 1\/2*z**6 + 0*z - 768*z**2 + 126*z**4 + 94 + 69\/5*z**5. Factor a(w).\nAnswer: 3*w*(w - 1)*(w + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1350*w + 469. Is x(53) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 159, 274, 385, 486, 571, 634, 669, 670?\n\"Answer: -c**3 + 4*c**2 + 110*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -133, -3 in increasing order.\nAnswer: -133, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.2. Let y be (1 + -1)\/(-5*(-2)\/(-5)). Put y, -1, -3, j in descending order.\nAnswer: j, y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x + z + z, 6 = 3*x - 3*z. Find the second derivative of -i**2 - i + i**2 - i**x + 0*i wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**5\/5 + 55*f**4\/4 + 259*f**3 + 405*f**2\/2 - 4374*f - 1056. Suppose g(z) = 0. Calculate z.\nAnswer: -27, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/10 - 5*q**3\/6 + 13*q**2. Differentiate c(m) with respect to m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -42.\nAnswer: 17\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1. Let i(z) = -21*z. Let x(r) = 24*a(r) - 3*i(r). Suppose -312 + 268 = -11*o. What is the tens digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/8 + 7 + (-47348)\/(-11838). Is t at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71855765.\nAnswer: 5, 29, 495557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0) + 2\/(8\/3). Is 2.73 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 4*f = -15, 0 = 2*f. Let w(y) = -294*y + 5. Let a be w(-7). Suppose -o*d = -a + 734. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75418?\nAnswer: 2, 7, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 288?\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 86. Differentiate 5*h**2 - 5*h**2 - 468*h**4 - y + 455*h**4 wrt h.\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + c + 14 = -c, 4*l - 3*c + 5*c = -6 - 4 - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.43 times -42?\nAnswer: -2034.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + 8.86. Let v = -6 + o. What is the closest to 0 in v, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:24 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 431 (base 6) to base 4\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/20 - 828\/144) + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2416 - 1373. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 5)\/((-2)\/(-6)). Solve 2*k - f = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 7 = 47. Which is smaller: 5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 222*m + 315 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-267)\/445)\/(4*(-2)\/5)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-10) + ((-459956)\/(-11480) - 41). Is x less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 22\/5 (c) -0.5 (d) 57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Which is the nearest to y? (a) 0.5 (b) -1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -6.6845 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 16. Let t(s) = -4*s**2 + 91*s + 125. Let n be t(24). Let f(w) = -3*w - 32. Determine n*k(y) - 2*f(y).\nAnswer: y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -19. Let y(x) = -x**3 - 6*x**2 + 7*x + 5. Let l be y(s). Put l, 2, 1 in descending order.\nAnswer: l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68108418.\nAnswer: 2, 3, 7, 180181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 11*i - 93 + 13 = 15*i - 12, -14*i = -2*c + 68 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 62413479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 5*z - 4. Let l(x) = -x. Let o(f) = 2*f + 1. Let j(b) = 4*l(b) + 3*o(b). Let q be j(-3). What are the prime factors of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:59 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 + (11 - -3) - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1870)\/855 + 2 + 4\/18. Let j = -0.12 - 3.88. Which is the closest to -2? (a) x (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 322*f\/15 + 104.\nAnswer: 2*(f - 156)*(f - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x - 4*j = 12 - 54 - 78, 11*j = 3*x + 38 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.8. What is the third biggest value in o, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 13) in base 11?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-4)\/(-1)) - 8\/(-4). Let x be 1\/58*(-2 - -4). Let k = -33\/116 + x. Is j > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**4\/8 + 11*y**3\/2 + 69*y**2\/4 - 396*y. Factor x(k).\nAnswer: -3*(k - 23)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/165*-11)\/((-6)\/(-27))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3321?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/140 and 19\/77.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36 times -0.019\nAnswer: 0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**4\/12 - d**3\/2 - 7*d**2. Find the first derivative of m(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2747283?\nAnswer: 3, 7, 11, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 20 + 22. Suppose l = -2*k + 185. Suppose 4*w - 100 = -4*g, -5*w + 2*g + k = -w. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3\/2 (c) -1\/10 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + r - 6, -d = -3*d + 4*r + 6. Let b(s) = s + 11. Let q be b(-6). Suppose -2*p + 2 = 4*n, p + 3 = q*n - 10. Put n, -1, d in descending order.\nAnswer: d, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21) - -2) + -67 + 16205\/245.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27020053 to the power of 1\/2, to the nearest integer?\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 49\/4 of a microsecond?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 5:24 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17 + 15)*(-287)\/2. Let d = 287 - b. Solve 0 = h + 1, j - 9 = 5*h - d*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 625, 937, 1249, 1561, 1873?\nAnswer: 2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/39 + (-2490)\/(-78). Suppose 0 = 33*g - k*g - 21. Calculate the remainder when 164 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 6*u - 6. Let v be a(1). Calculate the remainder when 140 is divided by (v - 1) + -1 + (22 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1343 - -1346. Sort k, -9, 0.5, -2\/15, 1\/4 in increasing order.\nAnswer: -9, -2\/15, 1\/4, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/3 - 3*d**2 + d - 2. Calculate the remainder when 1 is divided by o(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16260 from -0.08.\nAnswer: 16259.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5 - 5067*m**4 + 1256176*m**3 + 14172452*m**2 - 71602176*m + 76546048 = 0.\nAnswer: -73\/5, 2, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8364 and 27\/4.\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 3) + 4 + -13 - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47500\/9 - 5278. Let x = -1 - -1.2. Let h = -0.04 + 2.04. What is the closest to 1\/4 in h, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**6\/120 - b**5\/12 - b**4\/8 + 7*b**3\/6 - b**2 + 15. Let a(x) be the second derivative of y(x). What is a(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 1. Suppose 4*s = 4*v - 28, -4*s + 3 = 3*v + 17. Let r = v + 1. Let d(t) = 5*t**2 + 0*t - 2*t + 1 - r*t**2 - 3*t. What is -d(y) + 3*j(y)?\nAnswer: -2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -557 - -557.0257. Let u = 0.3257 - f. What is the closest to 1 in 5, -9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18966 + -18662.27. Round t to 0 decimal places.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10206 and 423306?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111359417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 11*x = -214. Let r = x + -107. Solve r*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*t + 98*t = -230 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, 23 in increasing order.\nAnswer: -2, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + 3\/(-9). Which is greater: 11\/10 or l?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - g + 3, 4*t + 3*g - 9 = 0. Suppose t = -5*d + 17 + 648. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12257\/6666 + -20\/303. Let l = -330219629 + 1075855538383\/3258. Let k = l - -63\/181. What is the common denominator of k and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789, -3114, -6989, -12414, -19389, -27914, -37989?\nAnswer: -49614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose -5*r + 159 = l, 2*r + 0*l = l + 65. Let w = -27 + r. What is the remainder when w is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13*s - 1. Let j(y) = 32*y + 258. Let g be j(-8). Calculate l(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -338*d**2 - 27\/10*d**6 + 115*d - 207\/2*d**5 + 0 - 12757\/12*d**4 + 2990\/3*d**3. Factor n(j).\nAnswer: -(j + 13)**2*(9*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8319.5 + 0.2598269?\nAnswer: 8319.7598269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t + 5. Let d = -2 - 2. What are the prime factors of v(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1667 - -2621. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 98160.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 42\/(-12))*40\/6. Let h be (-45)\/c - 1\/(-2). Let y(x) = 12*x**2 + 9*x. Let n(i) = 3*i**2 + 2*i. What is h*y(z) + 18*n(z)?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4667351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24436 and 12874.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/50 (b) 20\/3 (c) 2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -2 - (-6 + 5). What is the biggest value in -4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(sqrt(21)\/(sqrt(3) + sqrt(3) + sqrt(18)\/(sqrt(24)\/sqrt(4))) + 2 + (sqrt(7) - (sqrt(28) + -2)) + 1 + -1))**2.\nAnswer: -3440\/9 + 320*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/26 + 33\/130. Let q be ((-3)\/9)\/((-8)\/9). Suppose 0 = v + 3*v. Which is the nearest to v? (a) 2 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3424, 28, 2\/9, -45, -1\/3, 0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*m**2 - 161*m + 27*m + 35*m + 70*m + 29*m.\nAnswer: 211*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + o. Let s(h) = -h**3 + 7*h**2 + 2*h + 40. Let v be s(8). Let f be j(v). Is 6 a factor of (f\/16)\/(1\/4) + 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 w when four letters picked without replacement from qwyyqqqqyyqyqyq.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 10:35 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768)*1 - sqrt(768) - sqrt(768) - sqrt(768))\/sqrt(216) + -4)*-6.\nAnswer: 16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4 - 0)\/(24\/64).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50078 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131.6 and 19.\nAnswer: -2500.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - a?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190696 = 16146*q + 46710 - 511031 - 1873793 for q.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 18347?\nAnswer: 12\/18347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 20. Let m(t) = -t + 1. Let g be m(i). Solve 0 = g*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 18?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 477*u - 482*u + 135. Suppose 16 = -0*v - v. Let t = u + v. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32190 + -56610. What is l rounded to the nearest 100?\nAnswer: -24400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 43*d**2 + 45*d + 130. Let x be g(-42). Suppose 2*r + x - 16 = -4*i, -i = -2*r - 3. Solve -o + 5 = -r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 121 + 134 - 94)*(2 - 4 + 1)*(5 - 4 + 2)*(-2*b + 2 - 2)*(-3 - 1 + 3).\nAnswer: 12*b**2 + 486*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4b5 (base 12) to base 9\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -33. Suppose -2*j + 99 = z + 15, -2*j - 3*z = -q. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + f + 1 + 2*f + 0 + 0 + 1 - 1 - 2*f + (0 + 3 - 1)*(-1 + 1 + 2*f) - 2*f + 2*f + 2*f.\nAnswer: 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) 0.4 (c) -0.062 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**0*o))\/(o*o**3))\/(o**0*o*o**(-4\/7)))**3 assuming o is positive.\nAnswer: o**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 18. Let n = w + -2. Suppose o = n, -b + 4*o - 8 = -0. Solve -b = -2*v + 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658240 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -359, -5, -1 in decreasing order.\nAnswer: -1, -5, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3\/4 (b) 13 (c) 2\/15 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 11*t**2 + 13*t + 17. Give d(11).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40799465 to three dps.\nAnswer: 0.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122055 is divided by 13559?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v**4 + v**2 + 42 - 16*v**4 + 2*v + 0*v + 34*v**4 to r*v + f*v**4 + m + y*v**2 + b*v**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j, -2*l - 3*j + 29 = -2*j. Let z(d) = 12*d + 1519 + 1528 + 57*d**2 - 4557 + 1520 - 58*d**2. Determine z(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38529345024425 + 5.\nAnswer: 38529345024430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233030111 (base 5) to base 2.\nAnswer: -100000011110111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = o - 37. Is 16\/4 - o*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 3, w: 1, u: 1, j: 1}. Give prob of picking 1 r and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*m - 8*m - 10*m)*(-51 + 51 - 13*m) - 2*m**2 - 3*m**2 + 0*m**2 to h + r*m**2 + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12711, 0.5 in descending order.\nAnswer: 0.5, -4, -12711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525062904 is divided by 3418?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -708, -722, -744, -774, -812?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8812.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/4 + 477*k\/4 - 938 = 0.\nAnswer: 8, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -2 + 1 - -5. Put 0, -5, c in ascending order.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -445 + 361*j + 882 - 180*j**4 - 439 wrt j?\nAnswer: -2160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49264 is divided by 348?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-5 - (0 + -3)). Suppose -o - 5*l + 9 = -r*l, 0 = -o - 4*l. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25947 - 5624. What are the prime factors of h?\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 40 = -13*j. What is the tens digit of ((j\/4)\/1)\/((-2)\/(-2900))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 58 + 120 - 61 = 5*v, 208 = -16*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/266 and 103\/20938.\nAnswer: 146566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m + 89 = 221 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 14 - 5. Suppose 68 = p*u - u. Suppose 38 = w + 4*i, 0*i = -3*w + 4*i + 34. Calculate the remainder when u is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 60, -2.1, 15\/293?\nAnswer: 15\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j. Suppose -2 + 9 = -7*t. Let q(c) be the third derivative of c**4\/24 - 3*c**2. What is t*q(d) - s(d)?\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3765100 by 2300.\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/45 + (-7358)\/18)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 12*y**2 - 51*y\/2 - 1445.\nAnswer: (y - 10)*(y + 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*u + 3694 + 624 = -106*u + 329*u for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1430, -1442, -1478, -1550, -1670, -1850, -2102, -2438?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgxxdpgjeppg. What is prob of picking 1 p and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105973442605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((23\/(-115))\/(6\/4))\/((-8)\/5)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 6. Factor -6*m**2 - h + 2*m**2 + 7 + 8*m**3.\nAnswer: 4*m**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.41 + -15.59. Let x = z - -16.00000042. Round x to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 295?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/4 (b) -1\/3 (c) -0.4 (d) -46\/42121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*u - 56 = 0, -1597412*m - 4*u = -1597405*m - 56 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1578 + -3604?\nAnswer: -2026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.045604 * -121\nAnswer: -5.518084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.296125 rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5320, 0, 4 in decreasing order.\nAnswer: 4, 0, -5320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -14145154.\nAnswer: 141451540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from kkkkkkkkkwkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104*a = -27918 - 7410 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*s - 2*s - 2*s**2 - 5.\nAnswer: -2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:50 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2554641638.32466715 - 2488423374.324667. Let d = h - 66218248. Let f = -16 + d. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v + 136 = 0. Suppose 2*x - v = 142. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*g**3*v**3*z + g**3*z - 2*g**3 - 2*g**2*v**3*z - g**2*v**3 - g**2*v**2 - 4*g*v**3*z - 9*z wrt g.\nAnswer: -354*v**3*z + 6*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l**(-5\/6)*l)**(5\/13)*(l**1\/l)**(-29)*l*l*l\/(l*l*l**(5\/6))*l*l\/(l\/l**(-6)) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 24, -2 in ascending order.\nAnswer: -2, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*c + 39 + 29, 29 = 2*o + c. Suppose x - 5*x = -o. Calculate the smallest common multiple of x and 2\/(-3) - (-26)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from vkvvkkpknmvmvpvvmapm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 622.6 times 1354\nAnswer: 843000.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.093 (c) -2\/5 (d) -0.1 (e) -4 (f) -0.3 (g) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b**(-2\/11))\/(b**(-6)\/((b*(((b*b*b**(-1\/6))\/b)\/b)\/b)\/b*b)))**(-46) assuming b is positive.\nAnswer: b**(-4577\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7768033.\nAnswer: 7, 13, 85363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6168, -2\/1985, 4 in decreasing order.\nAnswer: 6168, 4, -2\/1985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -258\nAnswer: 2838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5*z = -4, 4*u - 20 = 3*z. Suppose -u*s = 2*s. Suppose 3*a - 2*h - 71 = 0, 4*a + 5*h = -s*a + 64. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22279718 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = -4*v, 0*q = -5*q - 4*v - 2. Let n be -3 + (24\/2)\/q. Solve 3*f = -n*d, 11 + 19 = f - 5*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136456031 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.8 + 14. Let l = -0.209 + m. Let z = l - 7.891. What is z rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -2\/11, 0.3, 10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 100617386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 150 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k - 10*k**5 + 6*k**5 + 6*k**4 + 5*k + 6*k**4.\nAnswer: -4*k**4*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 76*t**2 + 352*t.\nAnswer: 4*t*(t - 11)*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5406 + 5415. Sort -0.5, h, -0.4, -22 in decreasing order.\nAnswer: h, -0.4, -0.5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**3 + 2586*f**2 - 308*f - 1293768726 with respect to f.\nAnswer: -18*f**2 + 5172*f - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 0. Let c = -4\/13707 + 251351\/191898. Let v = c + -8\/7. What is the second biggest value in -2\/5, k, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18119319 is divided by 1129.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*c - u + 8, -39*c + 51 = -47*c - 3*u + 35 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6036531, -12073063, -18109595, -24146127?\n\"Answer: -6036532*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -88619, -88658, -88717, -88796, -88895?\n\"Answer: -10*h**2 - 9*h - 88600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160a49a2 + -3?\nAnswer: 160a499b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 14 - 11. Let z(q) = -q**2 + 6*q + 2. Let x be z(6). Solve x = -n - 5*v + 1, p*v = n - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 86313 - 86363 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -61.1. Let a = 4 + y. Let g = 2.0634 - 0.0634. Are a and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + -3 + (-1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 - -182. Suppose -w = -2*s + 4*w + 62, 0 = -5*s - 2*w + 126. What is the greatest common divisor of s and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (2\/23)\/1. Suppose 4 = -4*o - 5*m, -4*o + 1 + 19 = -m. Suppose o*n - 12 = 2*d, 4*d + 0 = 4*n - 16. Which is the nearest to d? (a) t (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106445*c + 106445*c - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25229755.8 milliseconds to days.\nAnswer: 0.2920110625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (1 - 2) + 618. Let j be 16\/(-200) - (-46010)\/125. Let p = x - j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 3:42 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 12. Calculate the lowest common multiple of x and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1747 (b) -43 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122, 250, 380, 512, 646?\n\"Answer: b**2 + 125*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(9\/5)\/((i\/(i*(i*i\/i**(-2\/9))\/i)*i)\/i*i) assuming i is positive.\nAnswer: i**(91\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 34 = 2*r + 3*r, r + 57 = -5*m. Let u be 2 - (-1 + m\/(-3)). Let a(l) = -l + 5. Let f be a(6). Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 1. Let i = -6 - -20. Let k = i + -15. Which is the closest to j? (a) 5 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384313 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -21434442?\nAnswer: 21440000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 15*d - 144. Solve 5*f - g = -18, -2*f - 9 = -5*g + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-38))\/(1 - (0 - -2)). Solve 5*b - 6 + 1 = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*o**3 - 10\/7*o - 8\/7*o**2.\nAnswer: 2*o*(o - 5)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 - 5. Let o(l) = -l**2 + 1. Calculate a(g) + 2*o(g).\nAnswer: -6*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 1 = 18*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (1 + (2 + 384 - 1)). Let v = x + 457. What is the highest common divisor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2025*v**2 + 32*v + 91. Is 40 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -60, -73, -86, -99?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-3) + 5\/(-15) + 0. Suppose -4*a - a = -4*o - 70, 40 = -i*o + 5*a. Let f(j) = 12*j + 15. Let z(s) = 2*s + 2 + s + 2. What is o*z(l) + 4*f(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 17769*m - 35537*m - 119 = -17765*m, 4*y = -4*m - 92 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 - -198. What are the prime factors of n?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90498 is divided by 1740.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/((-120)\/(-640))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*f + 31, -1 = -3*f + 2*f. Let z be (6\/(-3))\/((-8)\/d). Are -2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:23 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**7\/70 - h**5\/5 + 13*h**2. Solve d(p) = 0 for p.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*k**2 - k - 3 - 4*k**3 + k**2 - 20 + 30 to i*k + j + t*k**3 + q*k**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1634784 and 1634785 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -776*t - 42. Let m be p(-4). Suppose 4*z = 4*a - 230 + m, 2*z - 1428 = -a. Suppose 15*j = 11*j + z. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(0 - 30\/(-9)). Let f be g\/(-27) + (-4)\/18. Let -5 + d - d**3 - d**4 + d**f + 5 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 e when four letters picked without replacement from emmnemmmmnnm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:24 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-882)\/(-189). Let q(t) = -5*t**2 + 5*t + 4. Let a(v) = -6*v**2 + 6*v + 4. What is i*q(z) + 6*a(z)?\nAnswer: -z**2 + z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1135 (base 6) to base 9.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2 + 44*y - 13. Let h be z(-5). Solve -h*v + 608 = 34*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1679*2.\nAnswer: -3358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (5 - -1) - (0 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32076 and 2916.\nAnswer: 32076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 94 - 5?\nAnswer: 8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 74*r + 77*r + 949, 5*d + 5*r = 925. Let n be (3 - d\/91) + (-48)\/56. Which is the closest to 1? (a) -2\/9 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 8*y**3 - 199*y**2 - 1197*y - 990 = 0.\nAnswer: -33\/8, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j + j)*(7*j - 33*j + 12*j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2445 - 2446.761. What is f rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-5) - -4)\/((-21)\/(-9)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2\/89 (c) 0 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1, -5 in ascending order.\nAnswer: -5, -1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 27*p - 10*p. Let q = 2 - -1. Suppose q*r - r = p. Solve r = w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*c**2 + (-c - 2 + 2)*(-1 - 2*c + 1))*(-3 - 2*c**3 + 3) + 0*c**5 + c**5 - 5*c**5.\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 597*c**2 - 723006*c - 723600.\nAnswer: 3*(c - 402)*(c + 1)*(c + 600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((5\/30)\/(-1))\/((-35)\/1828470)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -34*r + 288. Let o be v(5). Sort o, -2, 5 in descending order.\nAnswer: o, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3114 and 5418?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 106. Let f be (8\/(-6) - -1)\/(k\/(-810)). Let r = f + -7. Solve r*o + 5 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(832) - (sqrt(832)*1*-3)**2 - sqrt(832)).\nAnswer: -7490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - (-144 - -77)) + -34?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from euebeeffme.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 7\/10, 2, -5, 3.5, -1?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -6. Solve -3 = -4*b + q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13376 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95583*f**5 - 571*f + 80.\nAnswer: -1911660*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18705 or 2630?\nAnswer: -18705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose 0 = -5*l + 61 + 9. Let r be (-856)\/749*l\/(-4). Solve -z*h + 5*f = 11, 0*h + 4*f = 4*h + r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -6 - -5) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -24*v**2 - 7. Let y(i) be the first derivative of -i**3\/3 + 1221. Give y(b(r)).\nAnswer: -576*r**4 - 336*r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 9*y + 2. Determine s(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51696 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a + 8. Suppose -4*w - 2*y + 4 = -4, 4*y = -3*w + 1. Suppose -a*j + w*j = 0. Solve j = b + 5*g, 4*g - 3*g - 16 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 137, 5, -3 in descending order.\nAnswer: 137, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:05 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (8 + -2) - (9 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6\/(0 + -4*(-4)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/156)\/(-5 - (-45)\/10).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x - 47 + 353 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixixxwxiwixixxrx. Give prob of picking 1 r and 2 w.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:15 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540776.104 - -128684?\nAnswer: 2669460.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/866 + 8669\/7794. Let w be 5\/(-2)*(-24)\/15. Let l be (1\/2)\/(w\/8). Do q and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874517593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 32. What is the highest common divisor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14813*428\nAnswer: 6339964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.35 + -2.35. Which is smaller: -2\/23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14421583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 1589 = -17*q. What is the remainder when q is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 77315 + 77115 = 0 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*w - 29 = 5*y + 144*w, -34*y + 36*y - 2*w + 16 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*r + 3*f + 63 = 156*r, 120 = 5*r + 5*f. Solve -7*t + r = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = n + 7, 0 = 4*o - 15*n + 12*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:42 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1893610 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2725, 11106, 25147, 44848?\n\"Answer: 2830*o**2 - 109*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 - 2*v)*(-137 - 206 + 71 - 108).\nAnswer: 760*v - 380","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l - 2*o, 4*l = -l + o - 13. What is the nearest to -2 in -7, l, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(8) - (sqrt(80)\/(sqrt(10)*2))**2).\nAnswer: -12*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybbbyybyyybbyoyb. Give prob of picking 2 b.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -305129.16 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + c - 26 - 122 - 20 - 21 to s*c + p and give p.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-76364)\/(-272) - ((-7)\/(-4) - 1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 2\/3*f**3 + 0*f + 0*f**4 + 0 + 1\/30*f**5 + f**2. What is the first derivative of v(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((((-3456)\/(-160))\/(-18))\/((-48)\/105))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - 6. Suppose 0*y + 2*k = -v*y + 14, 3*y - 7 = 5*k. Suppose 2 = y*n - 6. Solve 0 = n*m - 4*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 3 (c) -2\/9 (d) 5978 (e) 4 (f) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -2. Let r = -0.7 - h. What is the nearest to r in 1\/9, -5, 1\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 340. Let y be w(0). Let d = y - 156. What is d rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*l = -4*l - 49, 3*a + l = 36. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1970, 1971, 1972, 1973, 1974?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 1, z: 1, j: 3, b: 3}. What is prob of sequence az?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1586 and 16216972?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4\/3 - 11897*c**3\/3 + 13494337*c**2\/3 - 26952979*c\/3 + 4490180 = 0.\nAnswer: -12940, 1, 1041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 1\/5585407 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 24445797 = 3*f, -5*c - 10 - 5 = 0. Let z = 2835716953\/348 + f. Let b = -16\/87 + z. Calculate the common denominator of b and 13\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from {e: 5, f: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 12, 8, 2, -6, -16?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -29853*g**2 + 14956*g**2 + 13882*g**2 as i*g + c*g**2 + t and give c.\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -99, -383, -949, -1893?\nAnswer: -3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*g + 5*m, 0 = 5*g - 2*g + m - 14. Suppose u - 13 = -g*x, -5*u + 4*x = -5 - 3. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6384, 13973, 21566, 29163, 36764, 44369, 51978?\nAnswer: 59591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -37) + (-22 - (1 - -10))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16261061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 + 168. Which is the closest to 0.3? (a) t (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*w - 44, -17 - 59 = -4*g + 4*w. Let v be 47\/g - 6\/45. Solve 0 = -4*u + v*h, h - 1 = u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058282 to 7 decimal places.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 741*l - 408*l - 393*l + 23 as d*l + k and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 310\/4*23688\/210 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2074 + 2074 - 170*o**5 + (4 - 2 + 0)*(2*o**5 - o**3 + o**3).\nAnswer: -166*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 15*d + 22 = -18*d, 5*d + 28 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 18}. What is prob of sequence hhk?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**2*s*s*s))**(-3\/4) assuming s is positive.\nAnswer: s**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3849, -424, 1, 0, 3 in decreasing order.\nAnswer: 3849, 3, 1, 0, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8961\/2 or 4480?\nAnswer: 4480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 25*a + 89. Let r be z(-17). Round r to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(20)\/sqrt(2)) - 1*(sqrt(17) + -1))**2 + 4 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 2*h. Differentiate -3 - h*d**2 - 7 - 3*d**2 + 1 wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4 + 5334*j - 27 + 813*j + 12 + 2.\nAnswer: 6147*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7144760 divided by 26860?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)\/(5 - 4). Let o(c) = c**2 + c. Let s(j) = j**2 + 5*j. What is k*s(w) - 5*o(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 57.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 911, 960, 1045, 1172, 1347, 1576?\n\"Answer: u**3 + 12*u**2 + 6*u + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 28 = 16*q. Let f(a) = -5*a**2 + a - 5*a + q*a. Let b(y) = 5*y**2. Give b(f(m)).\nAnswer: 125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45757906?\nAnswer: 2, 79, 289607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 2*s**2 - 5. Let j = -2 - 1. Let l(k) = k + 10. Let y be l(-8). Suppose y = 12*n + 14. Let v(g) = -g**2 + 1. Calculate j*v(b) + n*i(b).\nAnswer: b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 - 4070 - 4073 + 8143 - 3*c**3.\nAnswer: 3*c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 203\/390 and -127\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(99) + -5 + sqrt(99) + 0 + (sqrt(99) - ((sqrt(99)*-1 - sqrt(99)) + sqrt(99))) - 5*(sqrt(99) + 3 + -2)) + -3)**2.\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-63\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 + 6*y**2 + 2062*y - 1 - 2062*y to z*y**4 + r + p*y + a*y**3 + o*y**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 85045\/(-3262)*(-8)\/(-15) - -14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 3*w. Let f(d) = 4*d**2 - 13*d. Let z(g) = -26*a(g) - 6*f(g). Let x(i) = -30*i**2. What is x(z(v))?\nAnswer: -120*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.595514 rounded to zero decimal places?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -505 + -5?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(-3 + 6 - 4)*(-6 + 3 + 1)*(18*x + 407 - 407) in the form t + g*x and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 13*b**2 - 13*b - 63. What is the lowest common multiple of 4 and q(-11)?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by (0 + (-39)\/(-4))*40\/(-180)*-36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2. Let t(j) = 6*j**3 + 15*j**2. Let x be 6*2\/(-4) + 8. Let k = -16 + 15. Let s(a) = k*t(a) + x*u(a). Find the third derivative of s(g) wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*r - 84. What is the tens digit of (-4)\/r + (-48)\/21 + 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/3, 55, 1, 1\/4, 622, 0.2 in decreasing order.\nAnswer: 622, 55, 11\/3, 1, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 53 = 59. Suppose 4*m + 3*u = 4*u + 1613, m - o*u - 398 = 0. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:14 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 11*p = a - 3 - 19 - 12, 9*p = 31*p + 154 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*72\/(-16)*6\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 194*g**3 - g**4 - g**4 + 5 - 198*g**3 - 2*g**2 + 2*g in the form t*g + x*g**2 + u*g**3 + m*g**4 + h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/41408 and 11\/36532208?\nAnswer: 146128832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 27 - 69 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(120)\/sqrt(2))\/sqrt(6) + (sqrt(90)*-1)\/sqrt(9))\/(sqrt(32)*3*-5).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + -3*(1*sqrt(891) + sqrt(891) - sqrt(891))*3 + -2)**2.\nAnswer: -72175 + 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 6623390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*1*-4)\/(sqrt(11) + 5*sqrt(11)*-1 - sqrt(11)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from mmwwwmwwwmwwmmwwmww.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. Solve 5*g = -w*a - 10, -4*a - a = 3*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13709 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -147 in descending order.\nAnswer: 3, -2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.18\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -366*g*j**3*m - 175*g*j**3 - g*j*m + 7*j**3*m - 37222*j*m wrt g?\nAnswer: -366*j**3*m - 175*j**3 - j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**21\/g)*g*g*g**(-3\/19))**(-25) assuming g is positive.\nAnswer: g**(8150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = f + 5*r, -r + 3*r = f - 137. Let u(d) = -65*d - 238. Let v be u(-3). Let g = f + v. Calculate the remainder when g is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -122321.54 to the nearest 1000.\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2219930 by -443986.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 460*u + 14 - 302*u - 160*u. What is q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 8.\nAnswer: -15, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (-11187)\/(-594))\/(10\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2629 + 2629 + 64*a**3 + (-2*a + 0*a - a)*(-5*a + 5*a - 18*a**2) to the form y*a**3 + c + m*a + s*a**2 and give y.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**5 - 3*y**5 + y**5 + (-2*y**3 - 6*y**3 + 4*y**3)*(1266*y + 49*y**2 - 1266*y).\nAnswer: -194*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*u + 33, 4*o = -4*u - u + 44. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 + 2*k**2 - 8*k - 6. Suppose -20 = -3*g - 5. Let p(v) = 5 + 6*v + v - 2*v**2 + 0*v - 4*v**3. Calculate g*u(s) + 6*p(s).\nAnswer: s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:17 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -22. Suppose 59 = 3*r - w. Suppose k = -k + 6. What is the greatest common divisor of r and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 3)*(-8 + 0 + 7 + 1 + 1 + 3 + (1 + 0 - 3)*(-2 + 1 + 2) - 1 + 3 - 3)*(3*u - 3 + 2 - 1) to a*u + k and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21004 - 21006. Which is the nearest to -0.77? (a) -11 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*i = -6447, -4*u - 2*i + 5160 = -3434. What are the prime factors of u?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11 - 15*v**2 + 1 + 3*v**2 - 1 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61, 194, 327, 460?\n\"Answer: 133*k - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13866b + -2?\nAnswer: 138669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(36)\/(sqrt(12) - (-2*sqrt(72))\/sqrt(6)) + -2 - sqrt(30)\/(sqrt(10) + sqrt(80)\/(sqrt(8)*2))*-2).\nAnswer: -8 + 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {s: 1, f: 1, v: 3, m: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 617*g - 620*g + 10, -g + 4*h - 18 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/((-6)\/174). Suppose -s + m = -35. What is the greatest common divisor of s and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 10027*u**2 - 246 + 10024*u**2 + 0*u**4 + 2*u**4 - u in the form k*u**3 + b*u + j*u**2 + t + a*u**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 3}. Give prob of picking 3 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + p - 170 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 16380*t - 6142464.\nAnswer: -(t + 384)*(t + 15996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/(-6))\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21049846 to the power of 1\/2, to the nearest integer?\nAnswer: 4588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7309 is divided by 997?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043 + 1083 + (-16 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*y**4 + 260*y + 89*y - 281*y**4 - 2*y**2 - 2 to the form a + k*y**2 + g*y**4 + v*y**3 + u*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 2818 - 2818.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3505 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8820 and 1092.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3359776444 is divided by 4377.\nAnswer: 4375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -1. Let q(l) = -l - 3. Let v(u) be the first derivative of -u - 3. Give z*v(k) + 2*q(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.808 + -7.192. Which is the nearest to q? (a) 2 (b) -1\/5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2385, -4770, -7155, -9540?\nAnswer: -11925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.35822841 to four decimal places.\nAnswer: 2.3582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88157957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -799 - 5333. Let g = t - 335. Is g a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(270)*-2)\/(-1*sqrt(24)).\nAnswer: -7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from wywlswwgwasswagllllw?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 72 + 6. Let d = -50 - -95. Let o = w + d. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4 + 6\/((-30)\/(-1475))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**5 + 708*w**4 - 738*w**3 - 6432*w**2 - 7833*w - 2844 = 0?\nAnswer: -237, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 17334.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-1 + (-35)\/(-20)). Suppose -4*c + h = -6*y + 3*y, y - 10 = -2*c. Suppose g + 5*v - 131 - 138 = y, -5*g + 1253 = 2*v. List the prime factors of g.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/14*(-7)\/2. Solve 2*v - 7 = -5*x, 0 = 2*v - 4*x + a - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**3 - 32*c + 3*c**3 + 51 + 6*c**3 - 34*c**2. Calculate the remainder when (-2)\/(0 - 2\/68) is divided by j(-33).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 32 = -74, 4*p = 3*c - c + 40 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30869 - 88480 = -9*u. Let t = 6191 - u. What is t rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2350, -0.058, -0.65 in ascending order.\nAnswer: -2350, -0.65, -0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z. Suppose 12*b - 16*b + 340 = z. Suppose -4*f - f = -b. Calculate the remainder when f is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128735359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose -u + 0 = -j*o - 2, 0 = -3*u + 2*o + 6. Let b = 118 - 116. Solve -b*d - 3*d - n = 12, 4 = -u*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 36349. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2412922824.9999262 - -2412922016. Let c = o + 809. Round c to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.68904 and 41292674?\nAnswer: 41292676.68904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 24*u - 17. Let m be l(1). Let j(a) = a**2 + 5*a - 70. Let q be j(m). Let g(y) = -y**3 + 15*y**2 - 14*y + 1. Determine g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39d - -4?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(14\/15))\/((20468\/833)\/86)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -3*d - 29\/50*d**6 + 1\/5*d**3 + 99\/100*d**5 + 9\/70*d**7 + 0*d**2 - 3\/4*d**4 + 0. Factor c(g).\nAnswer: 3*g*(g - 1)**3*(9*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198831359 is divided by 4160.\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197562803.\nAnswer: 131, 1508113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9570, 9598, 9638, 9684, 9730, 9770, 9798, 9808?\nAnswer: 9794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -416*v**4 + 653*v**2 wrt v.\nAnswer: -9984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34490161 and 820506?\nAnswer: 33669655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 - 95*h**2 - 390*h = 0. Calculate h.\nAnswer: -13, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + -11 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143466\/79 + -1816. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 360341?\nAnswer: 1081023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 30\nAnswer: -44\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1829\/202 + -479993\/54540. What is the common denominator of 79\/10 and z?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 11:04 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-11968)\/1056*42\/119\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.42336l?\nAnswer: 9423.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/1265 and -49\/857.\nAnswer: 1084105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1704\/((-24)\/(-6))*(-3)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000000000110011 (base 2) in base 12?\nAnswer: -31b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -20 + 9 - (-61 + 15).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7920\/(-10080))\/((2\/(-8))\/(10\/(-20)))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/(-12)*1). Suppose 0 = 3*w + 2*y - 29, -6*y - 20 = -4*w - 4*y. Solve -4*h + f = -3*c, 3*c - 1 = -w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61263.56 litres?\nAnswer: 61263560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwoooovowrooooww. What is prob of picking 1 w and 1 r?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 9) in base 5?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/15 + 138*n**2\/5 = 0 for n.\nAnswer: 0, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 1896*l - 1899*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -55*(1\/(-4))\/((-1)\/(-4))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18038860.888674+5\nAnswer: -18038855.888674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8684333 and -19\/1148?\nAnswer: 34737332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0*j**3 + 0 - 21*j + 0*j**2 - 1\/6*j**4. Let t(s) = -23*s**2 - 1. What is m(t(f))?\nAnswer: -1058*f**4 - 92*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -6) + 1 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -12, -4*w + 14 = -5*r + 66. Determine v so that 17*v**2 + 257*v**3 + 8*v + r*v**4 - 229*v**3 + 11*v**2 = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47911*v + 46 + 47910*v + 53 in the form k*v + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4*h + 4 + h - 2*h + 4*h + (-2*h + 0*h + 3*h)*(3 - 4 + 0) + 2*h + 0 + 0)*(75 - 98 - 28)*(h + 0 - 1 + 3) in the form m*h**2 + d*h + t and give d.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -171073090 plus 0.4?\nAnswer: -171073089.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/3)\/(1134\/70 - 15)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 252 = j. Is 12 a factor of (-3)\/27 + 2338\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 25 = -4*u. Let o be (-21)\/(-6) - (u - -5). Let p = -2 - 2. Which is the closest to 1\/2? (a) o (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2541 and 8589427?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 18140?\nAnswer: -18138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 161*f + 62. What is the hundreds digit of u(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2433 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60660*l = 60672*l - 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 18*q + 76. Let r be d(-4). Factor 1\/4*t**5 + 0 - t**r + 0*t - 1\/2*t**2 + 5\/4*t**3.\nAnswer: t**2*(t - 2)*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -324, -365, -410, -459, -512?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnjvnjjfwvvwvvvnj. What is prob of sequence nj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 9*n - 11. Suppose -3*m - 10 = -5*m. Suppose -m*x + 1 = -3*u, -u - 4*u + 50 = 2*x. Calculate k(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*u - 14 + 37*u + 14 as k*u + o and give k.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 206121 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**3\/6 + 147*l. Let w(g) = 1327*g. Give w(b(h)).\nAnswer: 1327*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.9 + 0.1. Let f = -11 + n. What is the smallest value in -0.03, f, -1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - 24\/9. Let i(b) = b + 1 + 1 - 2*b. Does 4 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 43*w**3 + 41*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = 10*w - 5*z, 1798*z = w - 6*w + 1803*z + 305 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3987)\/(-5) + (-3)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 32379.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) - ((-4032)\/140)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0 + s**4 - 2 - 3*s**2 + 7*s**2. Let z(o) = o**4. Let g(p) = u(p) - 3*z(p). Determine i, given that g(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1089*u**5 + 2*u**4 - 24*u - 507?\nAnswer: 21780*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = n - 101 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1643*g**2 + 19*g + 51. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -120303022?\nAnswer: -120302322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097227723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(252))*3)**2 + 1.\nAnswer: 108*sqrt(7) + 2278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36\/53 + -2\/159. Let o = 383\/5 - 76. Put 2, m, o in increasing order.\nAnswer: o, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 12. Let u be w(-9). Let j = u + 12. Let v be 7\/(-22) + j\/12. Which is the closest to v? (a) 4 (b) -3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**3 + a**3 - 4*a**3)*(-81*a + 103099 - 103099) + 4*a**4 - a**4 - 4*a**4 to b + z*a**4 + d*a + w*a**3 + c*a**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4362 - 70*s**2 + 4362)*(s**2 - 8*s**2 - s**2) + (0*s**3 + 0*s**3 + s**3)*(-2 - 2*s + 2).\nAnswer: 558*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -156. Let j be t\/(-26) - 10\/65. Solve 3*g = 2*p - 5, -p + g + 7 = -j*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59566, -59560, -59566, -59590, -59638, -59716, -59830, -59986?\n\"Answer: -r**3 + 13*r - 59578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 5. Give b(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006869509 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79, 157, 235, 313, 391?\n\"Answer: 78*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7932054 and 570.\nAnswer: 753545130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -309843 or -1549214\/5?\nAnswer: -1549214\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((-3 - -7)\/(-2)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.03 + 0.03. Let l = -1.27 + 79.27. Let z = l + -77.8. Which is bigger: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2075, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 - 13125*j**2 + 882160*j - 869040 = 0.\nAnswer: 1, 68, 2556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/2, 2\/11, 6, -1193?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11786, 11878, 12150, 12692, 13594, 14946, 16838, 19360?\n\"Answer: 15*p**3 - 13*p + 11784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11232 is divided by 212.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0234 and 3?\nAnswer: -0.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 87780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14272, -57092, -128458, -228370?\n\"Answer: -14273*c**2 - c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6)*(-12 - 0). Let n be (d - (-4 - -3)) + 29. Let a = 276 - 172. What is the greatest common divisor of n and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose d*w = -w + 15. Suppose 71*v = 70*v + 8. Solve 0 = s + 2*s + x - v, 3*x - w = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 13*k - 4*a, -2*k + 51 - 56 = 3*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680501651 to the power of 1\/4, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -80. Differentiate -14*l**3 + b - 11*l**3 - 6 - 25 with respect to l.\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4143 to one dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2403 and 280713?\nAnswer: 224851113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 3628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 12*d**2 + 12*d + 5. Let f be q(-11). Let j(z) = 13*z**2 - 35*z - 20. Let v be j(f). Calculate the highest common factor of 28 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -2*d + 4, -5*b = -5*d + 25. Let k = b + 5. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 22, 79, 178, 331, 550?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 11660 = 5*k, 2 + 3 = d. Suppose -5*j = -2162 - k. List the prime factors of j.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139314.69ms in minutes?\nAnswer: 2.3219115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:14 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3720 - -3730. Suppose 0 = 3*v - 27 + 3. What is the lowest common multiple of v and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-65)\/(-78))\/(20\/45). Let j be (-1)\/(1\/9)*1. Let u = j - -11. Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1916\/35 + 17314\/315. Suppose -4\/9 - k*w**2 - 2\/3*w = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93909117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2845028 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = -4*d - 1, 0 = -b - 5. Suppose 0 = 2*v + 3*v - 25. Let x = v - d. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8. Let o(i) = -i - 7. Let a(t) = 4*o(t) + 3*z(t). Let v = -66591 - -66589. Determine a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from lpppljlplpppc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -191816, -191288, -190758, -190226?\n\"Answer: q**2 + 525*q - 192342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 3*y. Let a be r(-2). Let p(j) be the third derivative of 0 + 0*j**4 + 0*j - 2*j**a + 1\/30*j**5 + 0*j**3. Let o(h) = h. Give o(p(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1 - 1) + -44)*-1. Suppose 5*w - 155 = 5*t, -w + 4*t + r - 10 = 0. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 58. Let j be k*30\/27 + (-6 - -3). Which is the nearest to j? (a) -1.8 (b) 1\/4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-3)\/6)\/((-8)\/64) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233560 (base 7) to base 2\nAnswer: -1010010010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117639*x - 235281*x + 117648*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -595*r**4 + 17*r**3 - 958*r**2 + 2*r. Let k(v) = -v**4 + 8*v**3 + v**2 + v. Let q(u) = -j(u) + 2*k(u). What is the third derivative of q(p) wrt p?\nAnswer: 14232*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvgggg. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b1 + 5?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12702 by 87.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -727679\/8236767 - -5\/13937. Calculate the common denominator of 79\/6 and c.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -607 - -604. Let v be (-11)\/k + (196\/(-21))\/14. Solve 0 = v*d + 6, 2*o - 2 = 5*d - 0*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81752213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(99)*1*4 - sqrt(99)) + sqrt(99) - sqrt(99)) + sqrt(99))*-3)\/(sqrt(81)\/sqrt(225) + (sqrt(9) - ((1*sqrt(81))\/sqrt(9) - sqrt(9)))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8493030 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.69939, -1\/66, -0.6 in increasing order.\nAnswer: -2.69939, -0.6, -1\/66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.46 + 13.66. Which is smaller: -4\/117 or a?\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -38. Suppose -h*a + 959 = -a. Let w = 264 - a. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -297 - -297.1. What is the second smallest value in 5, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k**4 + 164*k**3 + 172*k**2 - 84*k - 108 = 0 for k.\nAnswer: -9, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9254561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000103155 rounded to 6 dps?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 - 9*q - 5. Let d be s(-8). Let p be d - -1*(0 - -1). Suppose -4*j + p*r + 36 = 0, 3*j - 26 = 5*r + 9. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:59 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 + 3 - (51 + (118 - 203)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 5*a - 3. Let f be n(-3). Suppose f*t - 125 - 40 = 0. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3330804143*v**2 + 3330804143*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 58.2. Put 2, i, 43 in ascending order.\nAnswer: i, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 minus 400?\nAnswer: -399.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 49*u**2 + 3*u - 143. Determine v(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(198))\/sqrt(11))\/(sqrt(441) + (-1*sqrt(441) - sqrt(441))).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -310, -952, -1944, -3286, -4978?\n\"Answer: -175*q**2 - 117*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*p + 23, -b + 4*p - 23 = 9*p. Let i(w) be the third derivative of w**4\/4 + w**3\/6 - w**2. What is i(b)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/105 - 47*n**5\/35 - 365*n**4\/42 - 452*n**3\/21 - 180*n**2\/7 + 142*n - 4. Suppose t(f) = 0. Calculate f.\nAnswer: -90, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30576 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 115 - (-21*(-11)\/21 + -12)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2417, -4847, -7289, -9749, -12233, -14747, -17297, -19889?\n\"Answer: -s**3 - 2423*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 14. Let d(c) = -3*c + 6. Let r be d(2). Determine m(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*y + 21, 9*y - 8*y - 6 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.35638mm to micrometers.\nAnswer: 93356.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 3:22 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**3 - 5*p**3 + 11*p**3 + (-5*p**3 + 3*p**3 + p**3)*(-3 + 1 + 0) + (2*p**2 + 2*p**2 - p**2)*(-2 - 2 + 3)*(3 - 3 + 6*p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**4\/3 + 9*v. Let b(n) = 3*n. Give u(b(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18343 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7475331188?\nAnswer: 2, 13, 17, 383, 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 9) to base 12.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*7\/(-140))\/((-16)\/10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 30*j + 50. What is n(20)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -147 - -93 - (0 + 3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.63 - 48. What is s rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*-1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222354?\nAnswer: 2, 3, 11, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54290, -108599, -162918, -217253, -271610, -325995, -380414, -434873?\nAnswer: -489378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - c**3 + 0*c**3)*(581*c - 1 - 4250*c - 2572*c).\nAnswer: 12482*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*u - 207*u = -272*u - 1032 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-12))\/(1\/6*1). Let c(b) = b**3 - 6*b + 14. Let s be c(l). Put s, 3, 0.2, -3\/2 in increasing order.\nAnswer: -3\/2, 0.2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s + 5 = 28*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -j + 15892001, 2*j + j - v = 47675999. Round j to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.727.\nAnswer: -1.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 930 - 834. What is the remainder when 192 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (0 - (-10 + 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 7. Let a be d(-6). Solve -4*i - a = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - n = n - 748, 3*v + 5*n - 561 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6381 is divided by 3150?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpsmpspgp. Give prob of sequence smp.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:21 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515502 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 8*l**2 - l. Let u be v(8). Calculate the remainder when 6 is divided by 1*(-4)\/8*u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 4:52 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -361*g - 8676. Determine u(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.2, 2, 0.06, -4954, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 3*g + 0*g - 2*g**2 + (g - 3*g + g)*(2*g - 3*g + 3*g) + g**2 + 4 - 4 + 0*g + g - 6*g**2 - 2*g.\nAnswer: -9*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oetetpzeooztto. Give prob of sequence ztz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*v = -132*v - 28468 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 + o + 1. Let k be d(-7). Let q be (-3)\/9 + (-50)\/k. Calculate the least common multiple of 12 and (-2)\/(-2) + -1 + q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*k**3 + 182*h**2*k**2 + 23*h**2*k - 35*h**2 + 1595*h*k**2 + h + 15*k**3 - 5*k**2 + 1 wrt h.\nAnswer: 4*k**3 + 364*k**2 + 46*k - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + k + 0 = 23, 2*k = 5*x + 26. What are the prime factors of 166\/((-6 + 4)\/8*x)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9*(-30)\/4. Suppose 8 = -5*z + q*h + 33, 3*z - 17 = h. Suppose 4*k - z*k = 3*f + 16, 0 = -3*k - f - 17. Sort 4, k, 5 in increasing order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -26 - -27 - -91*1. What is the greatest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 6*m + 7*m)*(-717 - 441 + 1581 + 2265) in the form n*m + a and give n.\nAnswer: 24192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 3*s - 5. Let r be q(6). Let b = 9 - r. What is the smallest value in b, 0.5, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 4690.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + u - 99 = -101, 4*x - 8 = -5*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2\/2 - f - 2. Let p(t) = 2*t - 1. Suppose -3*l = -2*l + 3. Calculate l*p(r) + 4*w(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 83142*f + 415805. Calculate v(-5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0, 9, 2\/5 in decreasing order.\nAnswer: 9, 2\/5, 0, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 348*b**2\/5 - 732*b\/5 + 2832\/5.\nAnswer: 3*(b - 118)*(b - 2)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 0, -3, 2436 in descending order.\nAnswer: 2436, 2, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*y + 13, 7*q - 2*q = -15. Let n(z) = 1 - 1 + 1 + y*z + 22*z**2. Let m be n(-1). Calculate the greatest common divisor of 231 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12233, 14, 4 in decreasing order.\nAnswer: 12233, 14, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15223.6 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 410 - 70. Let r = w + -340.00000431. Round r to seven dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 10*j. Give x(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, h: 7, s: 5}. Give prob of picking 2 h, 1 s, and 1 t.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 1298738.\nAnswer: 7792428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 7*r**2 - 10*r - 6. Let x be u(-6). Let c = x - 30. Let b be 4\/c*3\/5. What is the second biggest value in 1, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.936 - -13.9. Let s = 24 + -23.936. Let g = z - s. Which is the fourth biggest value? (a) -5 (b) g (c) -1\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-20)*q*q**(1\/21)*q*q*q\/(q*q\/q**25)*q*q*(q*q**(-1\/21))\/q)**29 assuming q is positive.\nAnswer: q**261","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 6063?\nAnswer: -36378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 + c - 8. Let k(v) = 14*v**2 - 3*v + 16. Let z(y) = 2*k(y) + 5*n(y). Give z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 5*c - c + 1 - 1 - c + (-4 - c + 4)*(3 + 3 - 4))*(-2*c**4 + 2*c**4 - 2*c**4).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 138.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (140*w + 66*w + 188*w - 3*w + w + 0*w + (-3*w - w + 3*w)*(1 + 0 + 0) - 2*w + 5*w - w + (3*w - w - 3*w)*(-3 + 5 - 1))*(15 - 1 + 2) as t*w + r and give t.\nAnswer: 6272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(11\/(-2) - -4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23958500 to the nearest one hundred thousand.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69446373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5255*j**3 + 2*j**2 + 9*j + 8. Is 72 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(13) + 5))**2.\nAnswer: 250*sqrt(13) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5168, 5172, 5176?\n\"Answer: 4*j + 5164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2. Let n(r) = 5. Let l(y) = n(y) - 3*w(y). Let q(p) = 7*p - 40 + 34 - p. Let z(k) = -6*l(k) + q(k). Let i(f) = 9*f. Calculate i(z(j)).\nAnswer: 54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1234*p + 13. Let l(j) = 822*j - 8. Give -8*l(m) - 5*o(m).\nAnswer: -406*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5985734009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52217063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -57*k + 2. Let z(t) = 407*t. Determine z(w(o)).\nAnswer: -23199*o + 814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -14*k + 714. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1310 - 2361.1. Round h to the nearest 10.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 28605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-2 + 6)) + 14 + (27 - 30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 11042\/20 - -9*4\/(-360). Let f = a + -524. Solve -5*w - 4*i = 0, 5*w - 2*i - 2 - f = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -3*s - 3*l - 51, 2*s = l + 33. Calculate the least common multiple of s and ((4 - 35) + -21)*(-2 - 0).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 440\/13. Suppose b - x = -4*b - 10, 2*b - 5*x = -27. Put s, 2, b in decreasing order.\nAnswer: 2, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1099 + 1662. Suppose -48 = 8*s - 2*s. What is the hundreds digit of f\/4 - 2\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30959 less than or equal to -30901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 6*f**2 + 5*f + 20. Give p(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*n = -2*u - 44, 2*u - n = 49. Let c = -17 + u. Let h = 47 - c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*v = -14*g + 181 + 173, 0 = 4*g + 5*v - 7*v - 122 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**2 - 38*y - 38. Calculate j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8250\/(-270) - -31)*90\/(-100))\/((-4)\/810)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*o**2 - 4 - 12 - 9 + 28 to f + n*o**2 + l*o and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/2380?\nAnswer: -9\/2380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*r**2 + 3 - 2*r - 244*r**2 - 431*r**2 + 2*r**3 - 3 to the form a*r**3 + q*r + k + x*r**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + n**2 + 1)*(2*n + 0*n - 4*n + (-28 + 12 - 26)*(-n - 4 + 4))*(-4*n + 6*n + 5*n).\nAnswer: 280*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 8 = 0. Suppose -2*w = 2*w - a*r - 20, 0 = 5*r + 10. Is (-2)\/(2\/(-93)*w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k + 268 = 47*k - 586 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n*s**2 - 5*n*s + 2001*n + 3*s**2 + 12*s + 3 wrt s.\nAnswer: -6*n*s - 5*n + 6*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 775162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 5*l - 4. Let m(g) = -g - 7328 + 7328. Determine -f(h) + 4*m(h).\nAnswer: 2*h**2 + h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1627, 63 in descending order.\nAnswer: 1627, 63, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 14) to base 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 977 - 1955\/2. What is the third smallest value in g, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1186508 and 21?\nAnswer: -24916668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 - 18\/(-10). Suppose 5*y - 15 = -5*s + s, 24 = -4*y + 4*s. Is m less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 38479*g**2\/4 + 384715*g\/4 - 961725\/4.\nAnswer: (g - 38469)*(g - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = -l + 2, -2 = -k - 3*l. Let x(t) be the third derivative of 0 - 1\/12*t**4 + 0*t - 2*t**k + 0*t**3. Let p(b) = -2*b**2. Determine p(x(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/9))**(-5\/7)*f**16*f**4 assuming f is positive.\nAnswer: f**(1250\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let y(d) = -338*d + 633*d - 425*d - 1. Determine b(y(i)).\nAnswer: -33800*i**2 - 520*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 85*b - 2 = -83*b, 5*b + 5 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:26 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 600 and 22275.\nAnswer: 178200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**3 - 47*r**2 - 2*r - 33. What is t(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -17) + -55 + -20\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**2. Let q(y) be the third derivative of -y**6\/180 - y**3\/3 - y**2. Let f(o) be the first derivative of q(o). Give f(v(k)).\nAnswer: -162*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 2094950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -447636.7 and 18.\nAnswer: -447618.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 385 + 92. Solve -55*q = -g*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346\/7 + 223\/14. Suppose -4*n = w + 31, 4*n + 9 + 127 = -4*w. Which is bigger: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26a2a - -4c3?\nAnswer: 2710d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 1 - 4\/(-2). Suppose q = -3*n - 6, -3*u + 24 = u - 4*n. Let l(m) = u*m + 5*m - 5*m. Let i(d) = 2*d**2. What is l(i(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 23*v = -72. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255 - 137 - 5*p**3 - 118.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -8 - (-1 + 17)) + -393 + 349.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 3*f + 6. Let k be j(5). Let p(s) = -s**3 + 9*s**2 - 10*s + 10. Let r be p(8). Is r\/k + 301\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1700) + -4 - sqrt(1700)*-6*-4) + -5 + 3)*-3.\nAnswer: 18 + 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43186762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from grrmjmjgrrgrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 3 (c) 1.85 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-266)\/(-35)))\/((-20)\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*n**2 + n - 64*n**2 - 33*n**2 + 167*n**2 + 6 as g*n**2 + h*n + x and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3 + 43. Let r be -3 + 3 - (x - 0). What is the greatest common factor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313020 (base 4) in base 16?\nAnswer: -dc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*d**2\/3 + 1904*d + 27744.\nAnswer: 2*(7*d + 204)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1011 and 17056581.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2619 + -73317\/28. Find the common denominator of -61\/24 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*i**4 + 13894*i**3 + 1220704*i**2 - i?\nAnswer: -408*i + 83364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = n + 26, 77*x - 18 = 75*x - 5*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 21 = -4*u, 4*h - 5*u - 1099943 = 0. Suppose -3*l = -5*i - l + h, 2*i = 4*l + 109984. Round i to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2) + (-3)\/(-6). Let z(h) = 3*h**2 + 5*h**2 - 3*h**k - h**2. Let w(i) = 18*i**2. Determine w(z(o)).\nAnswer: 288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16149*s. Let y(n) = -4*n - 106. What is q(y(o))?\nAnswer: 64596*o + 1711794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10727 + 10907 = 10*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 9024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(48))**2*-3.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 9*v - 1. Let w be h(6). Let j(d) be the second derivative of 5*d**3\/3 - 24*d**2 + 6*d + 1. What is the units digit of j(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 - -136. Suppose 3*h - h = 5*s + 332, 3*s + 197 = -h. Let q = i - s. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20450 = 363*u - 3871. Solve -62*s + 15 = -u*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275701898.\nAnswer: 2, 29, 701, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10545, -21095, -31627, -42141, -52637?\nAnswer: -63115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12750529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2180*d**2 + 22*d + 22. Let p(i) = -872*i**2 + 9*i + 9. Determine -12*p(k) + 5*z(k).\nAnswer: -436*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145119 and 111630.\nAnswer: 1451190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 82 - 21 = 2*z, d + 5*z = 23. Suppose 15 = -2*t + 7*t, d = 3*c - 4*t. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/(1\/9*(-410)\/(-820))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 14*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 14 + -10 + -11 - (-5 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-40)\/(-70))\/((-65)\/(-182)))\/(8\/30). Solve -27*m = -v*m + 126 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809.19 + -210.203216?\nAnswer: 1598.986784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 + 1\/2. Let g = 13 - 21. Let i = g + 13. Which is the closest to l? (a) 4 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -442 + 568. Calculate the smallest common multiple of b and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(sqrt(13) - sqrt(13)*2))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-119)\/(-21)*-2 + 12. Factor 0*h**2 - 2\/3 + 4\/3*h**3 - 4\/3*h + p*h**4.\nAnswer: 2*(h - 1)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 759200 or 759201?\nAnswer: 759201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiyic. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239795, 959479, 2158949, 3838199, 5997223, 8636015, 11754569, 15352879?\nAnswer: 19430939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*((-2)\/(-6))\/(-1). Find the third derivative of -5*s**2 - u*s**5 + 5*s**5 - s**5 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 13. Suppose 3*n + 173 = -5*c, 4*c + k = -0*c + 2*n. Does 2 divide c\/(-6) - 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m - 31. Let a(k) = k + 6. Suppose 25*s - 73 - 202 = 0. Determine s*a(z) + 2*g(z).\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 1 + sqrt(1573))*-3*4)**2.\nAnswer: 6336*sqrt(13) + 906192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - b**2 + 2*b - 1. Let t be u(2). Suppose -3*l + a = t, -l = 2*a - 1 + 15. Sort l, 5, -3 in increasing order.\nAnswer: l, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -0.1. Let y = 52 + -52. Which is the nearest to y? (a) t (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, -2.5, 1, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.12, 2\/5, 237\/13 in descending order.\nAnswer: 237\/13, 2\/5, 2\/9, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Suppose -3*x = 2*x, 0 = j*r + x - 128. Suppose -3*q = -128 + r. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**2 + 1. Suppose -3*s + 18 = -3*h, -2 = 3*h - h. Let v(y) = s - 5 - y. Determine z(v(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 5*p**2 + 4*p + 1. Let s(q) = q**3 - 5*q**2 - 3*q + 9. Let l be s(5). Let y be r(l). Solve c - 5*d = 21, -5*c + 2*d + y = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - 1. Let m be w(-8). Let f = -203 + m. Let h = -61 + f. What is the remainder when h is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (1 + -1) - -56. Suppose -v + i = 3*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzdkzzjdzzjzkjj. What is prob of sequence dj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666157297.\nAnswer: 13, 97, 653, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 1 + 15*c + 1 to r + x*c and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 7446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/72 + 5*x**3\/6 + 75*x**2\/4 - 2*x + 91. Factor m(p).\nAnswer: (p + 15)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlqqzqlzmll. Give prob of sequence ql.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*s - 369*s - 44 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.49806 tonnes in grams?\nAnswer: 91498060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*p**3 + 539*d**3 - 317*d**2*p + d*p**3 wrt d.\nAnswer: 12*p**3 + 3234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(6)\/sqrt(48) + -3.\nAnswer: -2 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16120, 32212, 48242, 64216, 80140?\nAnswer: 96020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/78 and 1\/2431?\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 1\/4*w**3 + 0 - 1\/4*w**4 + 0*w**2.\nAnswer: -w**3*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1690 and -99\/14466400?\nAnswer: 14466400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 - -139.1. Let n = j - 6.8. Let u = 13\/5 - 133\/55. Which is the closest to -1? (a) u (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 + 268?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/39 + 56\/(-26). Let c(q) = -1331*q**3 - q**2 - q. Let a be c(z). Suppose 0 = -4*l - a - 2954. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*x - 6 = -3*x, -x = -2*c - 6. Let t(i) be the second derivative of -1\/20*i**5 - 1\/3*i**3 - 1\/2*i**2 + 0 - 1\/12*i**4 - 2*i. What is t(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -3 (c) 24\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883 - 628 = -655*q + 3729 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/40*5 + (-24)\/(-15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2868*x - 1350*x - 1524*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*z - 48, f = -4*z + 44 - 5. Let k = 123 + -71. What is the remainder when k is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88265\/41656 - 9\/4 and 11\/10.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 1 + -2 + 161\/7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2 (c) 0.11 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 6 = 2*i + 14*u, -4*u = -i. Suppose -5*j = -l - 85, -3*j + 18 = 5*l - 5. Put 4, i, j in ascending order.\nAnswer: i, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 - 484766*v**5 - 8358*v**2 - 62*v?\nAnswer: -240*v**3 - 29085960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and 1.907?\nAnswer: -122.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 53 = -4*g, 3*g - 5*g + 24 = -2*l. Suppose -229*r = -222*r + g. Let d(c) = c**3 - c**2. Determine d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v**4 + 5 - 3 + 15*v**4 - 20*v**3 in the form o*v**2 + g*v**4 + y*v**3 + r + u*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -433, -648?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Suppose c*n - 2*p - 326 = 1188, -2*p = 3*n - 1139. What is the units digit of 2\/(-13) + n\/13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-177)\/118)\/((-3)\/2) + 12347 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951 - 4968 = 84*z + 8*z + 123 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 4*s**2 + 3*s. Let z be w(-5). Let r be (-6)\/z - 25680\/(-50). Suppose 4*u - c - r = -2*c, 5*c - 279 = -2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*l = 12, 2*n - l = -14 + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 455 = 3*a. Calculate the highest common factor of a and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 - -1 - (-67 + 71 + -50).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*h**3*y**3 + 7*h**3*y**2 + 6*h*y**3 - 12*h*y**2 - 3*y wrt y.\nAnswer: 114*h**3 + 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 0.08, 10 in increasing order.\nAnswer: 0.08, 10, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 2. Let h(f) = -10*f. What is h(m(t))?\nAnswer: 10*t + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000074023 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 + 24. Let k(y) = 493*y. Determine a(k(d)).\nAnswer: -729147*d**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2444142 (base 5) to base 16\nAnswer: -b6cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:00 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqcqccc. What is prob of sequence qqcl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-294) - -32*3\/(-126). What is the third biggest value in j, -0.4, -8, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210021121 (base 3) in base 12?\nAnswer: -8b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*x**2 - 6*x**2 - 11*x**2 - 208*x**2.\nAnswer: -501*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 7. Let q(w) = -7*w - 15. Let u(n) = -8*n - 18. Let k(y) = -7*q(y) + 6*u(y). Let m(z) = z - 2. Give r*m(h) + 3*k(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12832819 and 128673?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/255525 and 121\/119250.\nAnswer: 406284750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 8, o: 1, n: 7}. Give prob of picking 1 o and 3 b.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3922 = 8*x - 52546. What is the units digit of x\/30*5 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416855481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8615018 and -45\/2621962.\nAnswer: 60305126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*b = 338*b + 7141 + 29419 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15055.\nAnswer: 5, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 3. Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5937502, 5937475, 5937438, 5937397, 5937358, 5937327?\nAnswer: 5937310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6582, 0, -4, -1.\nAnswer: -6582, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 1412460676.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 284*d - 2882 = 0. What is d?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -0.3 (c) -45172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence leo when three letters picked without replacement from olelloeeekeoof.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -5 (b) -103 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6020 - -6117. What is the remainder when 872 is divided by g?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53, 80, 107, 134, 161, 188?\n\"Answer: 27*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*q**2 + 335?\nAnswer: -224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q*q\/(q*q**1))\/(q**(-1\/3)*q)**(2\/135)*(q**(1\/2))**(2\/9)\/((q*((q**(-2\/3)\/q)\/q*q)\/q*q)\/q**(-2)) assuming q is positive.\nAnswer: q**(-499\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366\/854*(12\/((-924)\/473) - -6).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q**2 + 828*q - 1457. What is o(-77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -8. Let l = -19 + 56\/3. Let f = -1.64 - -3.64. Which is the closest to 0? (a) f (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7655359194 - -0.2.\nAnswer: 7655359194.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 790327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**4 - 2141*l**3 + 587494*l**2 + 2376192*l + 2384943. Let m(x) = -7*x**3 + 2*x**2 - 3. Let f(g) = -5*m(g) - r(g). Factor f(p).\nAnswer: -2*(p - 546)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 2 x when four letters picked without replacement from pptpxkxxxppxppppp.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = 36*f - 269*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmmw when four letters picked without replacement from rmmwrwmmrmmmwmrw?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -811517*j. Let d(u) = -10*u + 3. Give d(l(o)).\nAnswer: 8115170*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -3*x**6 + 31*x**3\/3 - 7. What is the third derivative of t(y) wrt y?\nAnswer: -1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(126\/(-378)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = w, -2*w = t + 15. What is the smallest value in -2\/11, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-15*w - 1 + 1) + ((3 + 4 - 5)*(2*w + 3 - 3) - w + 9*w + 0*w)*(-5 - 1 + 4).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 13. Which is the closest to -3? (a) s (b) 0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5073 + (-29)\/9 + (-18)\/(-81). Suppose b = 3*u - 4257. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 - 264*h**2\/5 - 2697*h - 194122\/5.\nAnswer: -(h + 31)**2*(h + 202)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((254590\/245)\/((-2)\/1))\/(2\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + y - 4, -3*y - 2 = 2*d - 14. Let t = 3 + d. What are the prime factors of t\/(9\/(-4))*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and 1048 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12585*h + 3591*h = 4146*h + 4561*h + 2053316 for h.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0136308 to five dps.\nAnswer: -0.01363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-2)\/((-20)\/(20\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -23. Suppose 4 + 6 = -k*f. Let z(d) = d. Let v(j) = 2*j + 4 - 5 - 5*j. Calculate f*v(i) - 5*z(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-1) - -2)\/1. Let l(i) = 13*i - 4. List the prime factors of l(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*79\/(-158)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 63 - 41 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*n**(-1\/9))\/n*n)\/n)\/(n**(-4\/7)*n))**(-1\/15) assuming n is positive.\nAnswer: n**(-29\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6212 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -47615045 rounded to the nearest 100000?\nAnswer: -47600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q + 39. Suppose -r + l = 3, q = -3*r - l - 2*l. Let g = 9 + r. What is the remainder when 7 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2131, -2130, -2131, -2134, -2139, -2146, -2155?\nAnswer: -2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -57*z + 617. Is x(-6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 - 1049*f + 4*f**2 + 1049*f + 2*f**5 - 2*f**3 = 0. Calculate f.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2*z + 7*z - 5, -4*z + 62 = 7*t + 69 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 14.83. Let y = a + -0.13. Let c = -8 - -3. Put -2\/3, y, c in descending order.\nAnswer: y, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*v**4 - 7*v**2 - 11*v**2 + 24*v**2 wrt v.\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8058 and -4.8834.\nAnswer: 39350.4372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(55\/15 - 4). What is the closest to -1 in k, -5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (3 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -521.\nAnswer: 64\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 506395237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*b - 33*b + 4*b**2)*(-7*b**3 - 2*b**3 + 0*b**3) + 2*b**5 + 11*b**3 - 11*b**3.\nAnswer: -34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*x + 129, -j + 3*j = -4*x + 174. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 4*i + 7. Let k be ((-45)\/(-6))\/3*2. Let g be v(k). Suppose g*x = -x + 24. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321237.\nAnswer: 3, 7, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.1 (c) 0.42 (d) 1843 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 16 = 2*n - 58, -n + 1 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*l - 41*l - 29 + 29.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 1.4. Let x = -0.4 - -0.38. Let y = -0.38 + x. What is the third smallest value in q, -1\/3, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(240)\/sqrt(4))\/(sqrt(48)\/sqrt(64))*5.\nAnswer: 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2706 - -2708. Solve 0 = 2*h - x*w - 2, -4*h + 3*w = -0*w - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(-6)*(0 + (-32)\/(-12)). Solve -4*g = -2*n + k, -5*n - 2*g + 2 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, -705, -1056, -1405?\nAnswer: -1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40944, 14, -1, -4 in descending order.\nAnswer: 14, -1, -4, -40944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oif when three letters picked without replacement from ooifooaiioooi?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = -2. Let k(z) = 9*z + 2. Let v(s) = -4*s - 1. What is x*k(w) + 7*v(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t - 0. Let y = 165 + -165. Which is the closest to t? (a) -4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.78 and 3.\nAnswer: 15.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -484, -469, -468, -487, -532?\n\"Answer: -v**3 - v**2 + 25*v - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**3\/3 - c**2\/2 + 16*c + 9. Let u be n(0). Calculate the highest common factor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2*d*d**2*(d\/d**1)**21 assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 rounded to two decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18219 + -0.20219. Which is the closest to h? (a) 90 (b) 3 (c) 5\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*(-264)\/(-176)*-2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tppttptppp. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h - 3177 + 69 = -34*h for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 + 9*f + 16. Let x be k(-7). Solve 3*q = 5*u - 4 + 1, -x*u - 2 = -2*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 447627, -1, -3, 4 in ascending order.\nAnswer: -3, -1, 0, 4, 447627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4962 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, 0, -21, 189 in decreasing order.\nAnswer: 189, 5, 0, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/m*m*m\/(m**(-1\/9)\/m))**10 assuming m is positive.\nAnswer: m**(730\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (41*(-1)\/2 + -1)\/((-212)\/43248*102)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1429\/7195 + 2\/1439. Which is bigger: 15\/8 or o?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184 - 180. Suppose -q*c - m + 686 = c, m = -4*c + 548. What is the remainder when c is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24623 (base 8) in base 10?\nAnswer: 10643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 3*b - 1 - 2*b - 5. Calculate the lowest common multiple of 7 and z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*g - 287*g = -5632 + 26674 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 16 - 0. Suppose 0 = -2*h - y + 8. Let k be 51\/(-2 + h + 1). What is the greatest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 993 + 561. Let g = n + -214. Solve -m + g*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 1. Let z(i) = -i**3 - 21*i**2 + 2*i + 47. Let p be z(-21). Determine n(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 8)\/(-1) - (-58 - -2). Solve i*h = 53*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(66*27\/3564)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqzm when four letters picked without replacement from sqlqqqzmz?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/7, -0.1, 0.1, -0.04, -4\/7, 0.2, 2\/263?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*x + 1 = 8*x, 2*x = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 88*t + 582. What is the remainder when 469 is divided by v(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323 - -100. Suppose 0 = 5*w + 373 - q. What is the remainder when 14 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -69, -153, -271, -423, -609, -829?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) 1 (b) 1\/6 (c) 0 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 408*118\/(-2832)*2\/(-2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - 4\/16. What is the nearest to f in 2\/3, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 5. Let o(z) = -z + 7. Let g be o(-8). Let j = -11 + g. What is the units digit of i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*x + 59*x + 501072 = 0. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-91)*(-252)\/(-756)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/2 (c) 87\/14 (d) -3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358632570 divided by 71726514.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.1.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3719930 to the nearest 10000.\nAnswer: 3720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2433*x - 1. Let n(l) = -402*l. Give u(n(d)).\nAnswer: -978066*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:46 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g = -6. Let d be g\/(-6) - 2\/4. Which is smaller: d or 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331302443044 - 4?\nAnswer: 331302443040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 40. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2361642 and 63485?\nAnswer: 11808210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 30*r + 6. Let d(p) = -150*p - 30. What is 3*d(b) + 16*g(b)?\nAnswer: 30*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/27)\/(2\/6). Sort -1, -32, c.\nAnswer: -32, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -369 (b) -0.4 (c) 2\/13 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42022\/531 + -4656\/59. Suppose -14\/9*a**2 + 14\/9*a + 10\/3 + f*a**3 = 0. Calculate a.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q*q\/q**19))\/(q\/(q*q*q**(-10)*q)*q\/q**(3\/22)) assuming q is positive.\nAnswer: q**(223\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 89 = -2*w + 7*d, 3*w = -3*d + 81. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - (-4)\/6. Let c(b) = 3*b. Let z be c(k). Let m be (2\/4)\/((-2)\/(-20)). Sort z, m, 4 in ascending order.\nAnswer: z, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, -90\/239, 0.1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360413*t = 360625*t + 5300 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 - 840*v - 117600.\nAnswer: -3*(v + 280)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1319 * -0.4.\nAnswer: -527.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.9 + -33. Let z be -4 + 4 - (-2)\/(-7). Which is the nearest to -1? (a) 6\/11 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.071274ns to minutes.\nAnswer: 0.0000000000011879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1967 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42498\/517 + 71463949\/953865. Let h = -273\/41 - x. Calculate the common denominator of h and 22\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 46*u**2 + 48*u - 23. Determine b(-47).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -76. Let d = j + -5. Calculate the remainder when 17 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3*x = 0. Let d(t) = -2*t + 7. Let z be d(x). Let m be (3 - z)*(1 + -5). Which is greater: m or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/3, -14.18 in descending order.\nAnswer: 2\/3, 0.2, -14.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 101865713\nAnswer: 4\/101865713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**2)\/v)**32 assuming v is positive.\nAnswer: v**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 43. Let m(g) = -g + 41. Give 2*c(z) + 3*m(z).\nAnswer: -z + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2 + 0*z - 1 - z**2 - 3 - 3*z. Let i be 3 + 1\/(-3)*-3. Suppose -2*b - 2*b = 2*s + 2, i*b = -s + 1. Calculate w(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = 0, -5 = -h - 5*f + 4*f. Suppose 127 = h*b - 8*k + 13*k, -125 = -3*b - 4*k. What is the smallest common multiple of b and 33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d8 - -4?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108.8 and 15.159.\nAnswer: -1649.2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1772?\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 12*h + 8. Let a be m(-3). Is ((-637)\/(-4) - a)\/(10\/40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2)**(-3\/8)*(b**(-2))**(-2\/9) assuming b is positive.\nAnswer: b**(-49\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x**6)**5\/(x**(-13)*(x*x*((x*x**(-15))\/x)\/x)\/x)**(-4\/15) assuming x is positive.\nAnswer: x**(713\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 36*o + 2. Let r be (-20)\/(-6) - (-1)\/(-3). What is the smallest common multiple of b(r) and 16?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f + 6. Let u = 268 - 268. Suppose -f*b = 2*r + 18, 3*b + 12 + 0 = u. Which is greater: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/((-246)\/(-205)) - 22\/(-6). Factor 0 - x*j**4 - 8\/3*j + 16\/3*j**3 + 4\/3*j**2.\nAnswer: -4*j*(j - 1)**2*(3*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69974 rounded to the nearest 1000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1 (c) 0 (d) 11 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:50 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568052455 to the power of 1\/2, to the nearest integer?\nAnswer: 23834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 0*v**2 - 1 - v + 3 + 3*v**2. Determine q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/21 and -64\/5523?\nAnswer: 5523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 26 - (-40 - -24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 25*d**6\/48 - 11*d**5\/2 + 589*d**4\/32 - 311*d**3\/12 + 67*d**2\/4 - 5*d + 169. What is c in t(c) = 0?\nAnswer: 2\/5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2 (c) 2\/9 (d) 0.6 (e) -4\/9 (f) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -40. Suppose -v*r - 11 = -39. Which is greater: 11 or r?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 25 - 41 - -3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3601336*w**4 - 288291 wrt w.\nAnswer: 14405344*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12) + (-4393)\/138. Let f = a - -33. Let m(o) = 6*o**2. Determine m(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447 = -53*y + 164*y + 2112 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 12 (b) -2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 86730.21 nanometers?\nAnswer: 0.00008673021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = 4*n, 5*g + 7 + 3 = 0. Let q be (-1 - n)*77\/22. Put q, -1\/6, -5 in decreasing order.\nAnswer: q, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -5*a - 13*k + 60, 0 = 2*k. Solve -2*j - 2*l + a = 0, -3*j - 113*l + 26 = -108*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*8\/48*39\/(-65).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 215*z - 224*z + 783. Calculate the remainder when 250 is divided by z.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 84*l - 358. Give q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2 - (-11)\/(44\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 2304 = -2288. Which is greater: c or 0.073?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/8 - 9*c**3\/2 - 13*c**2 - 10*c. Let q(a) be the first derivative of n(a). Is 3 a factor of q(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c + 2*c. Solve -3 - 2 = c*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 0*s)*(-2*s**4 + 1 - 1) - 4*s**3 + 4*s**5 + 4*s**3 - 2*s**2 - 4*s**5 + 6*s**5 + 0*s**2.\nAnswer: 4*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 64*b**2 - b - 69. Calculate g(0).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1720, -1727, -1734, -1741?\n\"Answer: -7*z - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -66*t + 4050. Give h(63).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 + 33 = -5*c, -5*f - 15 = -2*c. Let n(u) = -7*u + 88. Let v be n(17). Let p = f - v. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 f when three letters picked without replacement from {f: 1, q: 1, n: 1, e: 5, s: 1, j: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 227014 or 227170?\nAnswer: 227170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qssq when four letters picked without replacement from {s: 2, q: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -137 and 5255 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96701.86 decades to millennia.\nAnswer: 967.0186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*g*m**2*u + 2*g*m**2 - 385*m**2*u wrt g?\nAnswer: -32*m**2*u + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1)\/(-2)*0\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 119.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**8\/280 + p**4\/24 - 4*p**3\/3 + 7. Let z(f) be the third derivative of l(f). Differentiate z(o) wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - n - 7, -g - 4*n + 68*n - 29 + 67 = -150 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11672900 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 147, 532, 1165, 2040, 3151, 4492?\n\"Answer: -i**3 + 130*i**2 + 2*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*6*(sqrt(72)*-2)\/sqrt(6))\/((6*sqrt(54) - sqrt(18)\/sqrt(48))*-6))**2.\nAnswer: 1152\/5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -5 + -3 + -1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8997881\/110 + 81800. Calculate the common denominator of h and -73\/340.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3279, -4420, -5559, -6696, -7831?\n\"Answer: d**2 - 1144*d - 2136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5\/7 - 1324*i**4\/7 + 93196*i**3\/7 + 387452*i**2\/7 + 70000*i + 197072\/7 = 0.\nAnswer: -2, -1, 109, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 697829\/4555 - 3\/4555. Let c = 153 - a. What is the nearest to 1\/3 in -0.5, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2. Let u be x(-1). Let c(h) = -h + 1. Let b be c(u). Suppose 0*r = -r + b. What is the lowest common multiple of r and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 + 633\/18. Let z(d) = -3*d - 1. Let p be z(-2). Suppose -5*l + r = -p. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156)*1)*1 - (sqrt(156) + -2*sqrt(156)*2))\/(((sqrt(480)*1 - sqrt(480))*2 + sqrt(480))\/sqrt(10)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/161 and 15\/14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) -3.31 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55930.3521 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 5*a - 6. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + 1 + -1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2427581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(128)*2).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6330 and 719220930?\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 0*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -441, -1444, -3399, -6624, -11437, -18156?\nAnswer: -27099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -4*j, 3*i - j = -3*j + 10. Let o(y) = y**2 + y - 2. Let k be o(-3). Let h(m) = m**i - 5*m + 11*m + 2 + k. Calculate h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 4:34 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 805*u**3 - 21*u**2 + 8*u - 1. Is i(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001494349047 to 7 dps.\nAnswer: 0.0014943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -360 and -6.63.\nAnswer: -366.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3347633983 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1111\/202 + -2 + -7 + -2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 - 91*u - 86. Calculate m(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29620763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*y**3 - 45\/2*y - 567\/2 + 39\/2*y**2.\nAnswer: -3*(y - 9)*(y - 7)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 52*b**2 + 15*b**2 + 20*b**2 + 24*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2996 + 2244 = 5*i - 5*t, -5*t - 2111 = -2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/5)*i)\/i)\/i**(1\/11))**(2\/7)*(i**(2\/5))**4\/(i**5\/i**(-3\/2)) assuming i is positive.\nAnswer: i**(-523\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 4*y + 3*y**2 - 21*y**2.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 213\/12 + (-2)\/(-8). Suppose 5*i = q + 2. Find the second derivative of 0*u**5 + 0*u + i*u**5 + 5*u - u**5 wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -27 + 11. Suppose -g*r + 44 = -4*i - 18, -3*r = -4*i - 87. Let f = 17 + r. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**4*a**(-8\/7)*a**(-1\/4)*a*a*a**3*a)**(-3))**(-20\/11) assuming a is positive.\nAnswer: a**(405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - q + 1. Let g(a) = 23*a**3 - 3*a**2 - 3*a + 3. Determine -g(z) + 3*o(z).\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m + 12 = 0. Suppose 5*q - 1 = -0*q + 4*w, -m*w + 3 = 0. Let d(v) = 5*v**2 - 5*v**3 + 14*v**3 - 4*v**2 - v. Calculate d(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 97 = -6*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 10*l - 4*x + 203, 5*l = -3*x - 1130. Let i = 224 + l. Is 1\/31 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 - f - 15. Let g(d) = 9*d**2 + 3*d + 30. Let a(b) = -3*g(b) - 7*l(b). Let t be a(6). Calculate the highest common factor of 52 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from sccrrtrtcc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 9*p**2 + 194*p - 1762. Calculate o(10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 35211 = c + 2*c, -35207 = -5*q - c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145126381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2241177862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22815944661\/6520 - -3499378. Calculate the common denominator of 11\/1630 and c.\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 + -0.69. Let a = -0.43 - q. Let f = -0.124 - a. Round f to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 4, 5 in decreasing order.\nAnswer: 46, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 - 12*x + 2. Let t(f) = 4*f**2 + 14*f - 3. Give -5*b(g) - 4*t(g).\nAnswer: -g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 3, u: 2, e: 6}. Give prob of sequence guu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2816, -2836, -2856?\nAnswer: -2876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let k = 0 - 0.1. Let v = 0.05 - -0.15. What is the closest to k in c, -1\/8, v?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7360)\/1380)\/((-3)\/7 - 177\/(-315)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/84*21\/56\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 116917175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -198768 divided by -82\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v + 18. Suppose -4*d + d + 1 = -4*f, 0 = -f + 3*d + v. List the prime factors of f\/10 - (-328)\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 136*h**2. Let t(n) = -21*n. Calculate x(t(g)).\nAnswer: 59976*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76443173, -152886347, -229329521, -305772695?\nAnswer: -382215869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 2*g + 4, 3*g - r = -26. Let p be (28\/g)\/((-2)\/10). Let u = p + -13. Solve 3*h = -12, -h + u = -4*y - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*k**4 + 2*d*k**3*x - d*k**3 - d*k*x - 3*d*k + 17*k**4 - 4*k**2 + k wrt k.\nAnswer: -24*d*k + 12*d*x - 6*d + 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7094, -14177, -21260, -28343, -35426, -42509?\nAnswer: -49592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 5*x + 5. Let t be b(-4). Let j = t - 6. Let q = -116 + 124. Solve m + q = -j*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45418298, 45418300, 45418302, 45418304, 45418306?\nAnswer: 45418308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1295*b - 37. Let t(s) = -144*s - 4. Determine 4*i(l) - 37*t(l).\nAnswer: 148*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 != -224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75 + 6*b + 75)*(4*b**2 - 5*b**2 - 2*b**2) in the form n*b**3 + w*b + x*b**2 + y and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1\/2 + -2 + -1 - (-6620 + 6501).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 217?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -101*p**3 - 8*p**2 + 15*p - 19. Let x be t(-9). Suppose -5*h = -x - 46748. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d*g**3 + 3*d*g**2*n**2 - 5*d*g + 32717*d + 37790*g**3*n - 3*g*n + 6*n**2 wrt g?\nAnswer: 60*d*g + 6*d*n**2 + 226740*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z - 3. Let n(j) = -7*j - 4. Determine 6*d(s) - 5*n(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 13*w**2 + w + 19. Let h(a) = 35*a + 372. Let o be h(-11). Determine y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 4, t: 3, i: 1}. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -750*(-11)\/231*7 is divided by 87?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 4)*(132 - 117*o - 132)*(-4*o - 12*o - 6*o) as b*o**2 + j + t*o and give b.\nAnswer: -7722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4155717 and 597.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 3*q. Let h be d(-3). Let p = -39 + h. Solve -p = y + 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 9*o**2 - 6628289*o**3 + 20*o**2 - 3*o**2 + 6628291*o**3 - 8*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41700029 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11001101100100011111011 (base 2) to base 15\nAnswer: 8d0d4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/8))**(-19) assuming b is positive.\nAnswer: b**(-95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*w = -58, 0 = -v - v + w - 116. Let q(a) = a**2 + 15*a + 19. Let h be q(-9). Let m = h - v. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/6 - 7*u**3\/2 - 53*u**2\/6 + 7*u\/2 + 9 = 0. Calculate u.\nAnswer: -18, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 59037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*(-12)\/8 - ((-2829)\/(-69) - 68).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 less than 35\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 - 6*f + 5. Let a be n(5). Let u be (a + (-2)\/(-5))*15. What are the prime factors of 1\/u - 118\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 12*o + 23. Let r = -46 - -36. Let g be y(r). Solve -g*l + 2*l = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 93*m - 45. Sort 1\/7, m, -40\/13, 1\/2, 4 in increasing order.\nAnswer: -40\/13, 1\/7, 1\/2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + -1 + 3 + (388 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2855472 and 25650.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 59*g + 1963. Let a be y(-32). Solve 10 = 4*b - 2*n, -4*b - 47 + a = 4*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) 1\/6 (c) -3\/4 (d) -3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110 (base 2) in base 3?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4832 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/13)*(h\/h**(-1\/4))\/h*h)\/(h\/(h*h*h*h*h**(-2\/5)*h*h)*h\/(h\/(h*h**3*h))))\/(h**(2\/43)\/h**41) assuming h is positive.\nAnswer: h**(469083\/11180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -666*d**2 - 88. Let c(l) = 665*l**2 + 89. Let v(q) = 7*c(q) + 6*s(q). Differentiate v(y) wrt y.\nAnswer: 1318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 3.4.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 1083, 2550, 4691, 7512?\nAnswer: 11019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 1)**2 + -3 - -6*(-1*sqrt(18))**2.\nAnswer: 22*sqrt(2) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.008 - 0.092. Let l be (3\/(-8)*-2)\/3. Which is the nearest to n? (a) l (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 3\/4, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e - a68d?\nAnswer: -a6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -973.5 - -973.7. What is the nearest to c in 4, 0.1, -2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58491241*h*u + 137977420*h wrt u?\nAnswer: -58491241*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 28*f + 28 - 30*f - f**2)*(-1 + 6 - 3).\nAnswer: -2*f**2 - 4*f + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -38245\nAnswer: 42\/38245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9 times 270?\nAnswer: 3753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -189, -148, -107, -66, -25, 16?\n\"Answer: 41*f - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, 0.4, 0.03, 0.149?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2 (c) 2\/97 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67765 is divided by 5643.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -132*a + 13. Let j be i(-2). Let l = j - 274. Solve 0 = g + 6 - l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -385.5 and -5.04?\nAnswer: 1942.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -37*q**3 - 19*q**3 + 33*q + 4*q**5 + 48*q**2 - 41 + 19*q - 7 = 0?\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*f - 90*f - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17d0a27 + 1?\nAnswer: 17d0a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175 is divided by 129?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 - -232. Let t(m) = -m**3 + 6*m**2 + 11*m - 26. Let a be t(u). Round a to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102852 and 324.\nAnswer: 925668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.1 + 0.1. Let h = 5.1 + x. Is -1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 1, -128, -5, 3?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - 4) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1351 (b) 2 (c) 22 (d) -4 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixixiixiii. Give prob of sequence xx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 - -142?\nAnswer: 142.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 5*o + 26, -o = -4*f + 2*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7421919926.\nAnswer: 2, 83, 137, 326353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*g + 4, -g - 2*v + 4*v + 1 = 0. Suppose 3*z = 2 + g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 0, -21, -11, -2723?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -26. Let w = 7 - x. What is the greatest common divisor of 12 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2. Let t(l) be the third derivative of -11*l**6\/720 - 5*l**4\/24 + l**3 - 42*l**2. Let f(p) be the second derivative of t(p). Give j(f(n)).\nAnswer: -484*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 4*a + 926, 0 = 2*g - 4*a - 1836. Suppose 5*p - g = s + 26, -3*p + 560 = -s. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4590 - f**2 + 3*f**2 - 4590.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 17794.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250966 = 102*k + 245050 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 276284 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*l - 2 + 2.\nAnswer: -285*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1092 + 1094. Let a = -1 + 4. What is the nearest to b in 4, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 = 4*t + 56. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5)*(-42)\/56. Is 1 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 12*r + 11. Let n(k) be the first derivative of -2*k**3 + 42*k**2 - 78*k + 3. Let b(t) = -2*n(t) - 15*q(t). Factor b(y).\nAnswer: -3*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 451\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let q be z(-2). Let x(t) = t + 1. Let b(c) = -7*c - 9. Let i(s) = b(s) + 4*x(s). Calculate i(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1489 and 4\/311201.\nAnswer: 311201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7046 - 3*d**2 - 7053 + 11*d + 14082.\nAnswer: -3*d**2 + 11*d - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/((b*b**(-1\/9))\/b))\/b*b)\/b**(-2\/23)*((b\/(b*(b\/((b**(-3\/28)\/b)\/b))\/b))\/b)**(-1) assuming b is positive.\nAnswer: b**(36545\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 22152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3099, 3114, 3119, 3108, 3075?\nAnswer: 3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = -2*t, -2*z - 5 = 4*t + 11. Let i be (-17)\/(-20) + z\/(-8). Let r = 37\/50 - 6\/25. Which is the third biggest value? (a) -2\/11 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((8\/(-12))\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*r + 324, -3*s = 4*r - r - 468. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -844\/1479 - -8\/51. Let n = 56\/145 - i. Factor -2\/5*u + 2\/5*u**3 + n*u**2 - 4\/5.\nAnswer: 2*(u - 1)*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60820\/763 + -558\/7. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 + 44*g**3 + 120*g**2 = 0. Calculate g.\nAnswer: -6, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 6*a + 90 + 8 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2, 5\/28, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, 2, 9793, -5, -8 in decreasing order.\nAnswer: 9793, 2, -5, -8, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1117 + 1153 = 0, 5*n - b = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, x: 4, k: 1, u: 2}. What is prob of sequence xx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 - k - 2. Let v be h(5). Let r(u) = -4143*u - 1. Let l be r(v). Round l to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3237 divided by -1\nAnswer: 3237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 = 3. Let v = l - 3. Suppose -n = -3*n + v. Solve -3 = 3*h + 4*i + i, n*h - 2*i - 18 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose 0*k = -n*j - k, -4*k = -2*j. Suppose j*d - 2*d = -398. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 - 183 - 24*a**2 + 13 as q*a + t + k*a**2 and give t.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and -305.604.\nAnswer: -304.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31919*h - 63976*h + 668*h**2 + 32458*h wrt h?\nAnswer: 1336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/5)*(x**(2\/7)\/x)\/x)\/(x**6\/(x*x**(-3))))**(-35) assuming x is positive.\nAnswer: x**319","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 10 - 3. Suppose -x*h + 15*h + 4 = 0. What is the common denominator of h*(-2)\/((-48)\/111) and -19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 11*n**2 + 2*n + 6. Let j(c) = -c**3 - 6*c**2 - 2*c - 1. Let a be j(-6). Suppose -3*d + 22 + a = 0. What is the units digit of o(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1230 and 2420.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -818 minus 0.519?\nAnswer: -818.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7318116*c**4 + 7*c**2 + 2131336.\nAnswer: -175634784*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1 - -2) + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 113. Let z(u) be the second derivative of -7\/2*u**2 + 7\/6*u**j + 3*u + 0. Differentiate z(d) wrt d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 3180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -596, -600, -606, -614, -624?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 220\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -1571\/12. Let r = 11.3 + -1.3. Let z = r - 10. Which is the third biggest value? (a) z (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 + 213. Is 17 a factor of t + 7186\/10 - (-255)\/(-425)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 19*r + 444. Let g be f(0). Solve -g + 460 = 8*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 498, 1187, 2168?\nAnswer: 3441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-13 - -6) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -4\/3, -1\/8 in increasing order.\nAnswer: -4, -4\/3, -1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -210*s + 517. What is j(5)?\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 1674*z + 13392. What is x(-8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(9*11\/(-6)*(-2)\/(-11)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 324*k**2 + 315*k + 223. What is the lowest common multiple of i(-163) and 144?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 17\/3. Let q(x) = -x + 8. Let s = -14 - -23. Let o be q(s). Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61774\/9 or -6863?\nAnswer: -6863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 4:09 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2*k**2 + k**2 + k**3 - 4*k**3 + 2*k**4 - 3 in the form v*k**2 + f*k**4 + b*k + o*k**3 + c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let l(x) = x**2 - 7*x + 7. Let k be l(6). Let n(t) = -t - 1. Let g(q) = k*m(q) - n(q). Calculate the least common multiple of g(-7) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326 = -10*n + 112*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 65*p**2 + 5*p - 65 = 0. Calculate p.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67291970 is divided by 412?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.14 + 13.54. Which is greater: k or -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158138 = -29*w - 158109 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294085, -294078, -294071?\nAnswer: -294064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -1\/3 (c) 1\/4 (d) 151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 5, 0, 19, 68?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*p + 17, 3*w + 4 + 5 = -2*p. Let k = w + 1. Let o = 5 + k. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422 - -417. Calculate the lowest common multiple of 7 - (h - -16) - -6 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12853 + -9031. List the prime factors of h.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/15 (b) -21 (c) -21603 (d) 4\/3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 199 = 3*a, 2*b = -0*b - 2. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7853285, -7853301, -7853317, -7853333, -7853349?\n\"Answer: -16*y - 7853269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1870 - 1854. What is the nearest to p in -1\/4, 9, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -4. Let f = s - 0. Suppose -f*b = -b - 88. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4388*j**4 + 3*j + 61099?\nAnswer: -17552*j**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/63 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 5*m + 3. What is the units digit of d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 91 = 96. Suppose 122 = v + 4*m, 250 = 2*v - 3*m + w*m. What is the greatest common factor of v and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 2*v**2 - 2*v - 2. Let t be u(2). Is 9779\/t*(-2)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 9:17 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323559641 to the power of 1\/2, to the nearest integer?\nAnswer: 17988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5326 less than 2425841928?\nAnswer: 2425841925.4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 4*d - 5. Suppose 6 - 1 = -z. Let p be h(z). Suppose p*v = 3*v - 6. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 2. Let d(x) be the first derivative of x**2\/2 - x + 32. Give -3*d(p) - t(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3145265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z**2 + 5*z - 3. Let j be y(-3). What is the second biggest value in 1\/7, 19, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 2*v, -5*v + 5 + 2 = -3*r. Which is the fourth biggest value? (a) 0.5 (b) r (c) -2\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3 - 1. Suppose -7*k = -k + 348. Let i = -53 - k. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 120 = 2*n, -2*m + 123 = 4*n - 3. Let d = 94 - m. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -26*u + 24. Let k(a) = -735*a + 680. Let j(f) = 170*h(f) - 6*k(f). Let t(d) = -477*d + 3. Calculate t(j(z)).\nAnswer: 4770*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18603*d - 3255503. Give g(175).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(15)*-1*3)\/(sqrt(30)\/(sqrt(48)\/sqrt(72))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -501737 (base 8) to base 12\nAnswer: -7b47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.08, -5, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 701 - -274. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1400*k + 454*k - 3 + 1 + 611*k in the form j*k + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4 + 3 - 6 + 0. Let a(r) = 5. Let b(v) = -2*a(v) + 9*h(v). Let c(i) = -2*i + 2 - 1 + 2. Calculate 5*b(f) + c(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2859371976859.8 from -0.3.\nAnswer: 2859371976859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 829246 >= 829268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706205 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*d**3 - 6*d**3 + 5*d**3 + (d**2 - d**2 - d**2)*(-2*d + 2*d - d) + 0*d**2 + 0*d**2 - d**3.\nAnswer: -42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/6 + 15*j**3 + 8*j**2 - 49*j. Let v(z) = -z. What is v(k(f))?\nAnswer: 4*f - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -0*i. Does 21 divide i*(1 + (-76)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6 - -2) + 15 + -3 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 - 104 = -2*n. Suppose 0 = -4*o - n + 39. What is the tens digit of (63\/6)\/((-15)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 34, 12, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 91*n = -87*n, 3*n = 2*k - 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -3*f**5\/20 + 3*f**4\/8 - 3*f**2\/4 + 3*f\/4 - 195. Suppose y(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90248?\nAnswer: 2, 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9383156 and 28075?\nAnswer: 9411231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5 + 7 - 5*o - 2. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-8))\/(3\/(-4188)). Suppose t = h + 312. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401350115 (base 6) to base 2.\nAnswer: 11001111010111011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 40 (b) -4 (c) 26032\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 211331843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 8*j**2 - 13*j - 11. What is f(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 119*s + 11. Give g(-2).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115775216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-1 + 1 + (2 - -1)). Suppose 3*s - 4*w + 14 = o, -2*s - 4*w + 29 = w. Suppose 240 = s*y + 4*y. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 + r. Let s(y) = y**3 + 2*y**2 - 61*y - 129. Let u(g) = -2*d(g) - s(g). What is the first derivative of u(v) wrt v?\nAnswer: 3*v**2 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -0.3, 2\/93?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -10 (c) 1\/9 (d) 3\/136 (e) 0.087\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812 is divided by 70?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21466 - -21467. Let s(j) = j. Let p(b) = 258*b - 2. Let n(c) = p(c) - 2*s(c). Is n(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 15 = 10*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 7*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37\/4 + -489\/52. What is the closest to 1 in -5, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82400000 to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - g)*(4*g**3 - 3*g**3 + 2*g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 30. Let a be b(-6). What are the prime factors of (0 + a)*(-1903)\/(-66)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149286 divided by 2.\nAnswer: 74643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*f + 10. Let b = 13 + -13. Suppose 0 = -2*j + 3*k + 4774, b*k + 4778 = f*j - 2*k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuzlvurrzu. Give prob of picking 1 l, 1 r, and 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*-3 + sqrt(68))*1*-3*-5)\/(4*sqrt(8)\/(sqrt(4)\/sqrt(2))*-3).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8*b = -4*p + 24, -3*b = -12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 2.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4293 + 4292. Which is the closest to 2? (a) j (b) 0.002 (c) -0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2290)\/(2\/(-303)*3). Let p = y - 62745. Round p to the nearest 1000.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7569*t**3 + 7*t**2 - 23*t - 166. Is m(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(3\/5)*b**4)\/((b*b\/(b\/(b*b**3\/b)))\/b**(1\/7))*(b**(-4\/3)*b*(b*b**2\/b*b)\/b)\/(b**(5\/3)\/b**(-2\/11)) assuming b is positive.\nAnswer: b**(139\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, l: 4, j: 2, p: 3}. What is prob of picking 2 g and 2 p?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 218, 311, 266, 83, -238?\n\"Answer: -69*i**2 + 300*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 717393763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 1. Let l(p) = -3*p**2 + 9*p + 14. What is -l(k) - 6*t(k)?\nAnswer: 3*k**2 + 21*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -647*t**4 + 1331 wrt t?\nAnswer: -2588*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:29 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(832) + -2 + -3*sqrt(832) + (0 + sqrt(832))*-2)**2.\nAnswer: -64*sqrt(13) + 13308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 65103*r + 65068. What is m(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 80719400 and 80719398 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490591.9g in nanograms?\nAnswer: 490591900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14 + 5082\/(-1080)*-3. Is c greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*231946\/72. Let f = r + 4837. Calculate the common denominator of f and -83\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100626 divided by 4.\nAnswer: -50313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7463730.\nAnswer: 2, 3, 5, 23, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 114 = -3406*a + 3413*a, -193*a = -2*o - 2901 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, 1\/3, -290817 in decreasing order.\nAnswer: 1\/3, 0.3, 0, -290817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*c - 0*f + 15, 4*c - 2*f - 10 = 0. Suppose -49*g + 44*g + 625 = c. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from fymmffzyffcyfzz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 38 - (14 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 12*p**6\/5 + 2*p**4 + p**2\/2 + 47*p. Find the third derivative of w(o) wrt o.\nAnswer: 1728*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(192) - (sqrt(192) + sqrt(192) + (sqrt(192) - 1*sqrt(192)))*6) - (5 + 2*sqrt(192) + -4))**2.\nAnswer: 208*sqrt(3) + 32449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-11\/6)\/c)\/c)\/(((c\/((c\/((c\/(c\/((c*c\/c**24)\/c*c)*c)*c*c*c)\/c))\/c))\/c)\/c))\/(c*c*c**(-2\/7)*c)**48)**(-13) assuming c is positive.\nAnswer: c**(61217\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 987?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**5 - 54*a**2*o - 2681*a**2 + 18802236*a*o wrt a.\nAnswer: -160*a**3 - 108*o - 5362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*b - 13*b + 4481 - 6353 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 228956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 11*g + 38. What is x(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 23. Let j(r) = -50*r - 4*r - 28*r + 46*r - 29*r. Determine j(q(g)).\nAnswer: 130*g + 1495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/13*o**2 - 2\/13*o**3 + 10\/13*o - 6\/13 = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8516951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*l = 107*l - 3366 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 23 = -4*y, 92*v + 30 = 97*v + 5*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2232332 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 10 - 10)*(-j**2 + j**3 + j**2).\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4557 + 7236. List the prime factors of n.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -0.17, -85408 in decreasing order.\nAnswer: -0.17, -5\/3, -85408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 u when four letters picked without replacement from eeeelleuulllueuell.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 49*i**6\/30 - 17*i**2 - 53*i - 1. Let y(z) be the first derivative of o(z). Differentiate y(c) wrt c.\nAnswer: 196*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 4 + 3*c + c**2 + 3. Let q be (-6)\/(-27) + (-76)\/18. What is l(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7))*-3 - (sqrt(42)\/(sqrt(30)\/sqrt(5)) + sqrt(7)).\nAnswer: -5*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - h + 13 = 0, -4*h + 17 = 4*j - j. Suppose -j*s = -357 - 28. Calculate the highest common factor of 77 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 49. Let z(r) = r + 4. Let w be z(-3). Let x = 0.1 - -0.2. Put x, w, a in decreasing order.\nAnswer: w, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - -1134?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*i + 18, -5*x - 2*i - 34 = 24. Let z = x + 17. Suppose 12 = z*b - 3*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*i**2 - 174*d**3 - d**2*i - 10*d*i**4 wrt i.\nAnswer: 4*d**3*i - d**2 - 40*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnw when three letters picked without replacement from {n: 2, w: 11, p: 2}?\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 928\/9, -0.2, 776?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*z + 1 + 0 - 2 - 2 with respect to z.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 14 - 77 = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 166837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/1*(-52)\/286 - 2. Let r(k) = k**2 + 24*k. Let q be r(n). Let o = -5\/12 + 59\/84. What is the nearest to 1\/2 in -4, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Let l be h(-5). Suppose 3*n - 60 = 390. Suppose -153*t + 9 = -n*t. Solve -l*s = -t*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.75 - -0.25. Let a = 1 + o. Let k = a - -15. What is the closest to 1 in 0.2, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/4 + 4*g**3 + 7*g**2 - 11*g + 63. Let s be l(13). Let a = -13 - -15. Solve -2*c - 4*j = 0, -a*j - s*j - 8 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 3 + 618480\/288*(-2)\/(-430)?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-3 + 2)\/55). Suppose 3*n - 11 = r, -5*r + 6 + 19 = 5*n. Does 6 divide (-1)\/2 + l\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -77. List the prime factors of -1*((-45)\/5 + o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -41, -46, -51?\n\"Answer: -5*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 12) + 0\/(3*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6728 and -10049.\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 11*q**2 + 11*q + 14. Let f be k(10). Let x = 15 + f. Calculate the remainder when x is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -73. Let i(x) = 4*x - 9. List the prime factors of i(j).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -2*q. Suppose 3 = -2*y + q. Let i(n) = n. Let f(g) = -5*g. What is y*f(d) + 3*i(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 23*g**2 - 45*g + 18. Let i be d(21). Let s = i - -42. Is 2\/7 + s\/(21\/(-1727)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158114, -316183, -474252, -632321, -790390, -948459?\nAnswer: -1106528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 82*k + 8. Let g(s) = 28*s + 3. What is -17*g(w) + 6*r(w)?\nAnswer: 16*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*m = -10, 69*m = -4*a + 66*m + 65. Solve -a*z - 13 = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (5\/(-3))\/((-10)\/30). Suppose -26 = -2*z + 5*m, 0 = -t*z - z - 2*m + 20. Let o(f) = f**3 - 7*f**2 - 7*f - 7. Give o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 57 = 113. Let l = c + -23. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10193*s - 11403.\nAnswer: 10193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 8*z - 47 = 4*y, 6*z = -5*y - 58 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47873 is divided by 73.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6477 = 5*j + v, -5 = -v - 8. Suppose j = -6*p + 1356. Calculate the remainder when 114 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z)*(5*z**2 - z**2 + 2*z**2)*(-z + z - 11*z).\nAnswer: -66*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43240651.967 + 43360893. Let x = y + -120292. Let r = x - -51. Round r to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61233.43 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcc when three letters picked without replacement from {p: 6, c: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = -4*n. Suppose 5*r - 1605 = -n*u, 0 = r + 2*u - 361 + 32. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 76, -5, -2\/5, -0.3 in decreasing order.\nAnswer: 76, -0.3, -2\/5, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4185234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 - 2*u - 15. Let b be o(4). Solve -4*l - 4*q = -36, 2*q - 33 = -b*l + 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74357*-0.2.\nAnswer: 14871.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -137*h - 1022. Determine l(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-4) - 4 - ((-2005)\/(-140) + -15)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -123.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10079 - -10068. Which is the closest to -12? (a) -2 (b) -1\/6 (c) 1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, -6\/5, 3, 10, -7.3, -4 in decreasing order.\nAnswer: 10, 5, 3, -6\/5, -4, -7.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51957 is divided by 429?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.32 - 99.68. Let y = h - -102.000000444. What is y rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -536*s - 2219 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, -422, -201, -17, -1 in descending order.\nAnswer: 3, -1, -4, -5, -17, -201, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110695 + 110694.5. Let b = 2.7 - 3. Put 0.23, v, b in decreasing order.\nAnswer: 0.23, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*w**3 + 39837*w - 308810.\nAnswer: -21*w**2 + 39837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 396207*n + 0 - 1 - 396269*n to the form p*n + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 13*a**4\/12 + 185*a**3\/6 - 3087*a**2\/2 + 15*a - 43. Differentiate v(g) wrt g.\nAnswer: 26*g + 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (162\/(-1323))\/((12210\/(-259))\/22)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*l - 8, 2*a + 0 = -3*l - 1. Let y = -181\/4 - -45. Let v = 155 + -2323\/15. What is the closest to l in v, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -143*x**2 + 12*x + 3. Let l be i(-4). What is the units digit of (6\/(-9))\/(3 - l\/(-777))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + g**2 - 2. Let d be b(0). Let l = d + 0. Is (-492)\/(-10) + l\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272177.85 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13 = c - 2*k, 0 = -c + 4*k + 9. Suppose -c*z + 21 = -2*z. Calculate the highest common factor of 77 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 + 5 + 6 + 21*v**2 - 3 - 15 in the form l + w*v**2 + m*v and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648*n + 665*n - 303858 = 0. What is the greatest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**6\/120 + m**5\/12 + 5*m**4\/24 - 5*m**3\/6 + 1271*m**2. Calculate u(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -496946603 and -496946603 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 3. Let q(b) = -2*b**2 + 11*b - 2. Let a be q(5). Suppose 0 = -5*z + a*g + 151, -2*g = g - 9. Calculate the remainder when z is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/9)\/m**(5\/6)*(m**(-2\/5)*m)**17)**(-1\/49) assuming m is positive.\nAnswer: m**(-883\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-450)\/840*-14*(-2)\/(-12)*4. Solve -10*w - 5*k + 8 = -9*w, m*w - k - 14 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 187, 225, 263, 301, 339?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 96442368?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-64))\/((-1)\/(-8)*-45)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/18126 and -107\/8056.\nAnswer: 72504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -7, -832, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/10 + (-6)\/(-5). What is the second biggest value in -3, -5, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 507 + -482. What is the third biggest value in -0.5, -5, j, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 2721*n + 433287. What is u(144)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {l: 1, t: 5, i: 1, n: 3, a: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45.2483 + 0.0517. Let z = h - 45. Let s = -0.4 + 4.4. What is the biggest value in z, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-168)\/(-7)))\/(1\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43686248+-0.6\nAnswer: -1.03686248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-551889\nAnswer: 275944.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 312538339*l*m**2 - 2111638*l*m - 42*l wrt m.\nAnswer: 625076678*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 7:27 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 b, and 1 n when four letters picked without replacement from drrrnrbnerbnrdb.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 525015?\nAnswer: -525020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 200 - 142 - (21 - 6)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 46*r + 2 = -49*r, 5*r = -5*v + 20. Solve v*n = 94 - 100 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)\/c)**(-27))**19*(((c\/((c\/(c*c\/(c*c\/c**(1\/3)*c)))\/c))\/c)**2)**(9\/14) assuming c is positive.\nAnswer: c**(14358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o**2 + 10*o. Let n(h) = -12*h**2 + 10*h. Let c(r) = -2*n(r) + 3*y(r). What is the second derivative of c(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 12. Let w be k(-8). Suppose 0 = a - w*p - 2, 5*p + 6 = 3*a + 3*p. Solve -6 = 3*i, 2 = -h - a*i - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 2\/1 + -2. Suppose -3*d - x + 0*x + f = 0, 0 = 5*d - 5*x - 25. Solve 4*j - d*j = -8, -5*o + 4*j + 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -54, -85, -118, -153, -190, -229?\n\"Answer: -i**2 - 26*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -95. Suppose w*q + 2 + 23 = 0. Suppose 5*t + 0*t = 20. Put 5, t, 0, q in ascending order.\nAnswer: q, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 1, s: 2, c: 1, o: 1, i: 1}. Give prob of sequence zsjc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**4)**(-11\/6))**(-35))**39 assuming o is positive.\nAnswer: o**(25025\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -970730727*s**5 - 123591*s - 3926.\nAnswer: -19414614540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**5 + 145*z**4\/4 - 105*z**3 - 145*z**2\/2 + 310*z - 58. Determine k, given that y(k) = 0.\nAnswer: -31, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {c: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2405248727?\nAnswer: 7, 61, 181, 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = 36*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -33*v + 113. What is the remainder when 489 is divided by k(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187325499 is divided by 253?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 9*z**2 - z - 5. Let h be a(-9). Find the third derivative of -4*j**4 + 3*j**4 + j**4 - 8*j**6 - h*j**2 wrt j.\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011212121 - -1012220?\nAnswer: 11020002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*y**2 + 323*y?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(243) + sqrt(243) + sqrt(243) + -2)*2 + -2 + ((sqrt(21) - (sqrt(189)*2)\/sqrt(9))\/(1*sqrt(1008)))**2.\nAnswer: -383\/48 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845391.1l to millilitres.\nAnswer: 845391100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180.65 - 180.6499944778. What is g rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(6*(2 + sqrt(200) + -3 + sqrt(200) + -4) + 4) + 2)**2.\nAnswer: -3888000*sqrt(2) + 18419904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18.70723 years?\nAnswer: 224.48676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 37*y. Let l(r) = -8*r. What is l(k(m))?\nAnswer: -296*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3.1, 978, -1\/6, -5 in ascending order.\nAnswer: -5, -1\/6, 3, 3.1, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/2, 3\/7, -4.\nAnswer: -4, -0.3, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160065 + 160065 + 20*h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-112))\/((-12)\/6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -179, -583, -1367, -2657, -4579, -7259?\n\"Answer: -21*d**3 - d**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 32 = -5*k + 2*k, -k + 5*y - 24 = 0. Let z(t) = t**2 - 2*t - 2. Let h be z(0). Put h, 1, k in decreasing order.\nAnswer: 1, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = 2*g - 10*q, 3*g + 3*q = 27. Suppose k + 213 = 4*i - 2, 3*k - 273 = -g*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:14 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 579619, 1159232, 1738845, 2318458?\n\"Answer: 579613*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 != -751771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 390121630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 17 - 24*p - 115*p - 3 + 47 to the form t + f*p and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7.3. Let k = -32 - -30.3. Let d = k + j. Which is smaller: 1\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.03414 micrograms to tonnes.\nAnswer: 0.00000000004503414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - 16\/(-72). Factor -2\/7*c**4 + 6\/7*c**2 + 0 + g*c**3 - 4\/7*c.\nAnswer: -2*c*(c - 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-2))\/(6\/12). Let q(s) = -2*s - 1. Let h be q(w). Solve -h*o + o = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 247 - 9 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, d: 2, x: 1, s: 1}. What is prob of picking 1 x and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.22 + 0.22. Let n = -3 - l. Which is the third biggest value? (a) -1\/4 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71467000 rounded to the nearest one million?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(204)*-1*-5*-4)\/(sqrt(48)*2 + sqrt(12)*1*-6).\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-102)\/112)\/(18\/12). Let l = 1\/7 - p. Factor -3\/4*a**2 - 1\/4 + 1\/4*a**3 + l*a.\nAnswer: (a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230120 - 203122?\nAnswer: -3033302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75820 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**3 + z**2 + 3. List the prime factors of d(-3).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -668 + 662. Let u = -1.1 + -0.1. Let p = u + 1.4. What is the third biggest value in m, -0.2, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:23 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 minutes before 7:37 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:47 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = h. Suppose h*v - 46 = -4*u - 10, 3*v + 4*u - 31 = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 times -2486794?\nAnswer: -12185290.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20646, 40576, 60506, 80436, 100366, 120296?\n\"Answer: 19930*w + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.3, -2\/7, 4, 5.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t. Let c = t + 83. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 7*y, 2880*n - 2882*n - 4*y + 54 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 27. Suppose -10 = -b*a - 4. Solve v = a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -24. Let h be ((u\/26)\/(1\/20))\/(-2). Let o be 345\/6*4\/10. Solve -5*b - 5*r + 3 - o = 0, -2*b + h*r = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/24400 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 40. Let p(v) = -2*v**2 + 5 - 4*v - 9 + c - 1. Calculate p(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -4. Suppose 2*o = -2*y + 6*o + 24, 3*y + 2*o - 68 = 0. Suppose -2*s + z*s = y. Sort -1\/2, -0.2, s in increasing order.\nAnswer: -1\/2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u + 3*i, 3*i - 2*i + 2 = u. Suppose -4*d = -u*d - 24. Suppose -32*x + 37*x = 2*t + 31, -5*x + t = -33. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.043 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 i when four letters picked without replacement from {t: 5, s: 2, i: 7, p: 5}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 5:08 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6490 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.294 rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*d + 3*d + 5700*d**3 - 5687*d**3.\nAnswer: 13*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 36, 35, 36, 39?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**2 - 156*c + 152 = 0?\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (0 - 1 - -1). Suppose -4 + c = i. Let z = 5 + i. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 14. Let j = 12 - a. Let h(g) be the first derivative of -g**2\/2 + 4*g - 3. What is h(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 + 64*c**2 + 8.\nAnswer: 64*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81147018 and 197438?\nAnswer: 81147018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 1, y: 1}. What is prob of sequence yz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14346 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 the value of ((-36432)\/4968*24\/2)\/6?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 3 + 0 - 1) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/25 - 363\/25. Let z = o + 15. Solve z*y**2 + 0 + 2\/5*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - u = 0, -5*c + 3*c = -u - 12. Suppose 0 = -c*n - 4*t + 68, 0 = -5*n - 0*t - t + 81. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.8 in 0.5, 7\/3, 1\/7?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/9411 and 49\/105930.\nAnswer: 332302410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0376? (a) 0.3 (b) 2\/1471 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303\/904 + -9\/226. Put 4, i, -22 in descending order.\nAnswer: 4, i, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127224080?\nAnswer: 2, 5, 347, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/25467 and -34\/15.\nAnswer: 127335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 49\/2. Let g = 4.92 - 2.95. Let p = 0.03 + g. What is the closest to -2\/11 in 4, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/27375*73)\/((-2)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 0 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 11 = -2*h - 2*d, d - 28 = h. Is (-420)\/(25\/h + (-26)\/(-182)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*w = 71, 12*w = -5*m + 13*w + 76. Suppose m*i + 22 = 142. Solve 3*f - 4 = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 3. Let d be a(-3). Are -6 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*i - 20, i + i - 15 = 3*h. Let x = h - -20. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 112 = 4*c, 2*c + 110 = 5*r - 24. Let n = 27 + -25. Suppose -4 + r = n*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113794117 is divided by 28448529.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(-7 + 7 + 7*w)*(-2 - 3 + 6)*(-5 + 4 + 4)*(3 - 6 + 4).\nAnswer: 63*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (0 - -1) - 5. Let p(j) be the second derivative of 3*j + 1\/2*j**2 - 1\/2*j**3 - 15 - 1\/12*j**4. What is p(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2\/7 - 4245*y\/7 - 1640988\/7 = 0. What is y?\nAnswer: -316, 1731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -74 and -24136483340.\nAnswer: -24136483414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(9 - 5 - 6 - 10*x).\nAnswer: -10*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 4 + 13802*o - 3.\nAnswer: 13802*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 23, 22, 3, -40?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2356744 and -37?\nAnswer: 2356744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 100, 8.\nAnswer: -10, 8, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (2 - 5) - -2. Suppose -j*q - 125 = -14*q. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38797 + -63797. Round k to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f - 9. Determine z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**7\/1260 - k**5\/60 - k**4\/4 - 3*k. Let p(h) be the third derivative of b(h). Differentiate p(y) with respect to y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.073 + 6.333. Let u = -6.26 + w. What is the second smallest value in u, 0.4, 10, 0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 36281*a - a**2 - 160368*a.\nAnswer: -a**2 - 196649*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**(-22) assuming s is positive.\nAnswer: s**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3868*k + 1 - 1744*k - 2 + 2571*k)*(-k + k - k) as p*k + f*k**2 + u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -883*l**6\/40 + l**5\/20 + 317*l**4\/24 + 992*l**2. What is the third derivative of q(c) wrt c?\nAnswer: -15894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1864242 divided by -874\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11471 - -0.0572.\nAnswer: -11470.9428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p + 2. Let i = 0.18 + 10.82. Let r = -6 + i. Which is the biggest value? (a) r (b) -1\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -3, -u - 1 = -c. Let v = -7 + 9. Suppose -c*y - v*y - 4040000 = 0. What is y rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -25*g**5 - 360*g**4 + 385*g**3 + 2460*g**2 + 900*g = 0.\nAnswer: -15, -2, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = a. Suppose a = 3*m + m. What are the prime factors of (-138)\/(-30) - m\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(1\/2)))\/j)**(-12)*j**0*j*j\/(j**(-1\/8)*j))\/(j**(1\/12)\/j*j*j*(j*((j**10*j)\/j)\/j)\/j)**(-46) assuming j is positive.\nAnswer: j**(11591\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 33?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 151, -0.07, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13767716 divided by -6?\nAnswer: 6883858\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 6*z - 25. Let g be m(-10). Calculate the highest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - s - 2*s)*(4*s - 3*s - 2*s) - 9*s**2 - 101*s + 101*s as a + n*s + h*s**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**2 - 4*b**2 + 3*b**2 + 3*b**2 + 3*b**3.\nAnswer: 3*b**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500)*2*-1*5)\/(sqrt(225) + 1*1*sqrt(225) - ((sqrt(225) + sqrt(225)*-1)*-6 - sqrt(225))).\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 5*t**2 + 2*t + 2. Calculate r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 138*m + 1\/14*m**7 - 7\/4*m**4 + 0*m**2 + 0 + 7\/10*m**6 - 27\/20*m**5 + 4*m**3. Suppose p(l) = 0. What is l?\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 29. Solve -5*b + d - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*y - 365*y - 907*y - 242*y in the form c + n*y and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 136\/30*(13 - 3). Let j = i - 45. Let f = 8 - 12. Is j at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -19 + (-11 + 14 - 5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18845145 is divided by 348984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let a(v) = -35*v + 2. What is a(w(x))?\nAnswer: -35*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 = 3*a - 25, 5*c + 5*a = -15. Let w(b) = -719*b - 30. Is w(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050848786 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-1 + 0)*1. Let o be 3 - (-1 - 1) - q. List the prime factors of o*3\/6 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*y**3 - 914 + 914)*(0 - 1 + 8) as r*y**2 + q*y**3 + j + w*y and give q.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**0*p))**(15\/11)*(p**6*p)\/(p\/(p*(p**(4\/3)\/p*p)\/p)))\/(((p\/(p*p\/(p\/p**(-5))))\/(p*p**(-2\/15)*p))\/(p**(-1))**(-37)) assuming p is positive.\nAnswer: p**(206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97389 and 7101?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 216\/243*(-6)\/(-32)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2*2\/(-6). Let u be 1\/(b\/(-5)) + -2. Suppose 0*s + u = 3*s. Solve v + 8 = -3*a - 2, -a + 4*v + s = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 26 = -17*c. What is the remainder when -4*(c + (-10)\/4) - -4 is divided by -6*2*1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2*(-5)\/16*(-8908)\/2227)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.6998848 + 21.7. What is f rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 49. Suppose 33*f - 46 = 20. Solve -a = -0*i - 5*i + 7, -a = -f*i + l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5056 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 84.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-72) + (0 - 1 - -1). Let j be (b + 1)*1*(1 - -8). What is the highest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12*d - 6. Let k(l) be the second derivative of -l**4\/12 - 98*l + 2. What is k(c(w))?\nAnswer: -144*w**2 - 144*w - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5 - 4 - 14*d + 12*d. Let b be k(0). What are the prime factors of -4*b + 29 + 3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 85040269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173653 and 2954?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169524172 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 579657653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/110*(-22)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4264 divided by 52.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -76. Let u be 8\/(-12) - (-5)\/3. Let n be (u - 2) + -4 + -2 + 26. Calculate the greatest common divisor of n and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/5 + 1)\/(319\/(-110) + 3). Let p(t) = 2*t + 13. Determine p(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 53*y + 603. Let i be a(16). Which is smaller: -374 or i?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 709543 and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -17*w**4\/2 - w**2\/2 - w + 1. Let s be h(-1). Suppose 5*g - 1 = s. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/15 and 37\/645?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(39\/(-39))\/(4\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-11))\/6)\/((-954)\/(-4664)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g + 5160 = 44*g. List the prime factors of g.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, j: 2, c: 1}. What is prob of sequence cpj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + (-35)\/(-14). Suppose 5*d + y = 47, 2*y + w + 13 = d. Let q = 4 + -3. Solve 3*f = d - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 580878?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-28))\/h*h\/(h\/(h\/(h\/(h*h*h**(2\/17)*h*h)))*h*h))\/((h**(2\/55)\/h*h*h*h)\/((h*h*(h*h**30)\/h)\/h)) assuming h is positive.\nAnswer: h**(2881\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/3 - 1951*h**4 + 60066*h**3 + 1654132*h**2\/3 - 1327416*h = 0. Calculate h.\nAnswer: -9, 0, 2, 38, 5822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 (base 9) in base 7?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**4 + 4263*j**3 + 494737*j**2 wrt j?\nAnswer: -96*j + 25578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)**(-12)\/(r**(2\/5))**5)**(1\/16) assuming r is positive.\nAnswer: r**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-8 + 0)\/4. What is the common denominator of -3 + (595\/14)\/(11\/2) and 245\/56 + c + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339.0307us in hours?\nAnswer: 0.00000064973075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22385502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**2 - 3*u**2 - u**2 + (-1 + 1 + 2*u)*(u + 1 - 1) + (-51 - 22*u + 51)*(-3*u - 1 + 1) - u**2 + 0 + 0.\nAnswer: 69*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 69. What is the remainder when 52 is divided by (0 - c\/2)*(9 - 24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25868 by -92.\nAnswer: 6467\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -134526.\nAnswer: -1\/44842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 14. Let h be r(8). Factor 7*l - 4*l**2 + 7*l - h*l - 3*l**3 - l**3.\nAnswer: -4*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-k + 3*k - 3*k)*(32 - 32 - 4*k + (3*k + 4*k - k)*(0 + 3 - 6)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*u - 90, 0*s + 36 = 2*u - 4*s. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 divided by 1?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - -5. Suppose 20*g = 13*g + b. Let v(k) = 8 - 6 - 9 - k**2 + 6. Let s(o) = 2*o**2 + 5. Give g*v(y) + s(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-29 - -22) - (3 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -0.4, -3.8, 2, 9?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 905 + -908. Let y(f) = 2*f**2 + 3*f - 3. Let s(z) = -z**2 - z + 1. Determine t*s(a) - y(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 40402 (base 5) to base 16\nAnswer: a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-48) + 6\/18?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 10 - (13 - -19 - 28) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3907980*t**3*z - 2*t**3 - 93872*t**2*z + 13*t*z wrt t?\nAnswer: -23447880*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 20600\/26911 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.0267.\nAnswer: -0.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 335856799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 55*q**2 + 18600*q - 71820 = 0.\nAnswer: -342, 42\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 11*s**2 - 10*s + 10. Let h be (-4)\/(12\/(-5))*-6. Is p(h) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -0.3, 5 in decreasing order.\nAnswer: 5, 3, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, j: 1}. What is prob of sequence hhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 186450 divided by 10\nAnswer: 18645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13622*l**3 + 10037*l**2?\nAnswer: 81732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*d**3*y + 15430*d**3 + d**2 - 546*d*y**4 wrt y?\nAnswer: -39*d**3 - 2184*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5\/7 + 23412*z**4\/7 + 68585424*z**3\/7 + 410950816*z**2\/7 + 821527200*z\/7 + 547560000\/7 = 0.\nAnswer: -5850, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d - 15. Let h(p) = -p + 1. Let s(c) = -33*h(c) - 2*n(c). What is the tens digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 438.1973.\nAnswer: 438.1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -4 (c) -10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1566, 0, 5 in increasing order.\nAnswer: 0, 5, 23, 1566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 6. Let a(r) = -r - 7. Let i(h) = 5*a(h) - 4*d(h). Let k be i(5). Solve 0*y = k*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a + 6*a - 5*a to the form d + t*a and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**2 - 3015*c + 15150 = 0.\nAnswer: -1010, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5.1. Suppose -3*y + 4*y = 3*l - 4, 14 = 4*y - 2*l. Which is the nearest to u? (a) 1\/5 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 99*o**2 + 123*o + 2680. What is h(-98)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1399876631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/7 and 2\/15481.\nAnswer: 108367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*p - 44*p - 2246*p**2 - 2253*p**2 + 4500*p**2.\nAnswer: p**2 - 219*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 5*s)*(-1 + 1 - 3 + (2 + 0 + 0)*(-4 + 5 - 3)).\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 3\/2)*2. Let g be 27\/18*70\/3. Calculate the greatest common factor of s and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*m + 76 = 0, -5*k + 35 = 2*m - 75. Let z be (-8)\/k*6\/(-8). What is the closest to 0 in 3, z, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5449\/100 and -53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181 + 12*o + 9*o**2 + 181 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - (3 + -11))\/((-6)\/(-4)). Let n(r) = r**2 + r + 1. Let u(l) = 4*l**3 + 18*l**2 + 18*l + 18. Calculate o*u(j) - 36*n(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -5*d + 4*b, 0 = -7*d + 3*d - 4*b + 172. What is the first derivative of -50*i**3 + 4 - d*i**3 + 21 - 8*i**3 wrt i?\nAnswer: -309*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -24. Calculate the remainder when -4 + 16*(-5)\/(-20)*9 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8320 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12625764 by 2006.\nAnswer: -6294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, -8, 3 in decreasing order.\nAnswer: 26, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(105)\/sqrt(3)*2)\/(-2*sqrt(500)) - (1*sqrt(2240))\/(-5*(sqrt(5) - sqrt(20)))))**2.\nAnswer: 51*sqrt(7)\/5 + 2923\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127210623?\nAnswer: 3, 47, 421, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70025 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*c + 51 + 7 = -40*c - 2*w, -3*c + 17 = -4*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -79846 times 7\nAnswer: -558922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 2. Let q(w) = -1. Let f(s) = 2*q(s) - u(s). Let a = -5 - -6. Let z be (0 + a)*(6\/(-3) - -5). Give f(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201864691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-6 - (-4 - 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/9)\/((-2)\/(-3)). Suppose 51 = l*w - 13. Let r be (w - -2)\/(45\/12 + -3). Calculate the greatest common factor of r and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*m**4 + 62*m**4 + 0*m - 6*m**3 + 8*m.\nAnswer: -2*m*(m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 957067494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -1, 665, 0.4, -295, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.5 + -932709817?\nAnswer: -932709859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2\/3 (c) -3\/4 (d) 0.17 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2913 + 1947 = 550*v - 226*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-28) - 0\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-267 - 406 + 1316 - 375)*(10 + 2*o**2 - 10)*(-3*o + 3*o + 2*o).\nAnswer: 1072*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.06 - -0.9. Let m = 0.84 - t. Let y = 2 + -1. Is m at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -3*c**4\/2 + 5*c**3\/3 + 6. Let j(p) = -3*p**2 + 4*p**2 + p**3 - 2*p**3. Give 5*j(x) - r(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*z + n + 35, 2*z + 5*n = 27. Let t be 8\/28 - (-52)\/14. Calculate the lowest common multiple of z and (6\/t)\/((-3)\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0253 + -3?\nAnswer: -2.9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 28. Calculate the remainder when -15*(-6)\/9*2 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) 269 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -15184*b - 30366. Let n be m(-2). Solve 80\/7*k**n + 0 + 4*k**4 + 4\/7*k**5 + 32\/7*k + 72\/7*k**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187.34 + 187.34053636. Round n to six decimal places.\nAnswer: 0.000536","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 14*g - 219193 = 262869. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1277 + -731. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -12. Let x(q) = -i*q + 3*q - q. Let w(t) = -t**2. Calculate x(w(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 2*y - 2. Let u be b(-7). Let q be ((-2)\/4)\/((u\/(-36))\/11). Solve 3*x = -q*v + 3*v + 9, -3*v = x - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(-12 + (-80)\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.94, 0, 5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 6:43 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/4, -3, -5, 3, -2.\nAnswer: -5, -19\/4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) + (-8 - (-742)\/84)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486464, -972930, -1459396, -1945862, -2432328?\nAnswer: -2918794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 18238079*l - 2. Let b(v) = 4*v. Determine u(b(a)).\nAnswer: -32*a**2 - 72952316*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(98*g - 1974*g - 761*g)*(0 - 2 + 4).\nAnswer: 5274*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -0.31?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.603 and 1622793.\nAnswer: 1622785.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/5711 - -28567\/22844. Which is the fifth smallest value? (a) 18 (b) 5 (c) y (d) 0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 2, y: 2, l: 1, j: 2}. Give prob of sequence ijlh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1748976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v. Suppose -9 = -b + 2*s, -b - 2*s - 7 = -v. Is (254*b)\/(-4 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -518, -1188, -2148, -3410?\nAnswer: -4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 440\/4 + (6 - (1 + 6)). What is the greatest common factor of 4687 and f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05129 + 0.05. What is u rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-160))\/((-6)\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/17)*t**(1\/7))**(-8\/7))**40 assuming t is positive.\nAnswer: t**(-9920\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 123.968755.\nAnswer: -110.968755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 2021 = -2*z - 16*s, 5*z + 4*s = 5010. What are the prime factors of z?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4351016 divided by -8\nAnswer: -543877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j*n*t**4 - 3*j*n*t + 2*j*n - 21*j*t + 3*j + 112 wrt t?\nAnswer: 12*j*n*t**3 - 3*j*n - 21*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 515818.9 decades?\nAnswer: 51581.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 u when four letters picked without replacement from {s: 4, o: 9, u: 2, b: 1}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11076767 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 44*s + 3394. What is l(-77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52575 by -3.\nAnswer: -17525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86995468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -1\/120*q**6 - 2\/3*q**3 + 0 + 1\/10*q**5 - 2*q**2 + 0*q + 1\/12*q**4. List the prime factors of m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*c - 3*w, -4*c = -2*c - 3*w - 13. Suppose 2*s - 50 = -2*x, -2*s - 5*x + 43 = -13. Calculate the remainder when s is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4372984 divided by -4372984?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1098261 - 1098261 - p. Let y(d) = 478*d**2. Determine a(y(g)).\nAnswer: -478*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000001 (base 2) in base 9?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + v)*(-47*v + 15*v + 8*v + 2*v - 6*v + 2*v + (1 + 1 - 1)*(2*v + 2 - 2) + 0 + v + 0 + 3*v - 3*v - v + 2*v + 1 - 1).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(8\/12*-12*(-2)\/16).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77266 - 5?\nAnswer: -77271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or -45555?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 10 = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -76 + 1159. Let k = p + 62. Solve k*m - 10 = -0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/9 (c) 3.61 (d) -1 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*r = s - 621, 0 = -2*s + r + 307. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77297 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8455, -8454, -8453, -8452, -8451, -8450?\n\"Answer: v - 8456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.07, 5, -8 in ascending order.\nAnswer: -8, 0.07, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5*r**2 + 38*h**4*r**3 - 2*h*r**3 - 6*h*r + 26*r**3 wrt h.\nAnswer: -20*h**3*r**2 + 456*h**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120806 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-15)*2*(21580\/(-83))\/52?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81928 by 19.\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(44\/11))\/(4\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 5*m - 14. Let b be z(5). Let x = 684 + b. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -659.4684 and 12.27.\nAnswer: -647.1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/77)\/((-12)\/882*-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-12))\/7)\/((-6)\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = -4*i, -4*i + 5*z = -i - 29. Suppose 2*w + f + i = 0, 0*w + 4*f + 8 = -4*w. Let v(s) = -9*s**3 + 1. Is v(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.88 rounded to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*j - j. Let y be 2\/j - 544\/(-24). Solve -3*n = -5*d + 35, -2*n = n - 2*d + y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89243410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3625.938 + -3549. Let h = 77 - q. Let f = h + -0.01. What is f rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13524, -13519, -13512, -13503, -13492?\n\"Answer: a**2 + 2*a - 13527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -376884738 divided by 9?\nAnswer: -41876082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4 - 3*l**3 - 20*l + 2*l**2 - l**3 + 24*l - l**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 6*m**3 + 35*m**2 - 32*m. What is the first derivative of q(w) wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let d = -1.04 + 0.04. Let a = d + o. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94119 and 916.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-933)\/(-1244))\/((-9)\/60)*((-264)\/(-10))\/3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (2 - (1 - 1 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 26*j**2 - 4. Is w(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47278 and 68.38?\nAnswer: 47346.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2663, -2662, -2661?\n\"Answer: z - 2664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/9 + -10\/9. Which is the nearest to 3? (a) 2 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-4)*(-152)\/456?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:39 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14010 + -4?\nAnswer: -14014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - -2 - 2*(-285)\/108 and 39\/2*(-4)\/(-96).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39868 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/26*(108\/220 + (-24)\/264). What is the nearest to -2\/7 in -0.2, t, -3\/4, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*g - 5 = 0, -4*x - 2*g - 11 = -5*x. What is the second biggest value in x, -0.07, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.386325nm to micrometers.\nAnswer: 0.001386325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.84.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -451.53 and -0.06.\nAnswer: -451.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 t, and 1 j when four letters picked without replacement from wjetetepypweptp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.3? (a) 5\/4 (b) 0.02 (c) 0 (d) -25\/6 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5170038.993 + -5166798. Let c = 3248 - t. Let a = 7 - c. What is a rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Let o be j(-1). Suppose 5*l = 4*a + 55 + 33, 0 = o*l - 2*a - 34. What is the remainder when 59 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*p + 5. Suppose p = -3*u + 52. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 1. Let j be s(-1). Suppose -j*b + 10 = b. Let q be 9\/(b - 1 - 2). Let k(u) = u**2. Let r(a) = -5*a**2. What is q*k(n) - 2*r(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -41. Solve 4*t - 2*l + 21 = -l, d*t + 13 = -2*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzzqzq. What is prob of picking 2 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p. Let u(b) = 6*b**2 - 4*b. Let h(t) = 22*m(t) + 4*u(t). Let h(k) = 0. What is k?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16133.\nAnswer: 13, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1247*f - 1131*f - 3*f**2 + 84*f**3 + 2*f**2 wrt f?\nAnswer: 504*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + -0.28. Which is the closest to t? (a) -3 (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1761.9998044 - -1762. What is l rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107526437 to the power of 1\/2, to the nearest integer?\nAnswer: 10369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5226, -5, -32.\nAnswer: -32, -5, 5226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1.7 (c) -0.5 (d) 1 (e) 0.0625\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6316418 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, j: 6, a: 2, p: 1}. What is prob of picking 2 a and 1 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Let w(q) = 4*q - 2*q + h*q - 4*q. Let u(t) = -t. Determine u(w(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5100, 5102, 5102, 5100, 5096, 5090?\nAnswer: 5082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6882680 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510 - 666*v**2 + 58 + 274.\nAnswer: -666*v**2 + 842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 d, and 1 x when four letters picked without replacement from {i: 3, n: 2, x: 2, d: 1, m: 3, t: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeerlhevheevvvll. What is prob of sequence eleh?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**2. Let o(q) = -13*q. What is o(u(h))?\nAnswer: 91*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i**4 + 28*i**3 - i**2 - 7. Let k(l) = -5*l**4 - 9*l**3 + 2. Let d(p) = 2*f(p) + 7*k(p). Let d(t) = 0. What is t?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 1. Let r(w) = w**2 + 5*w + 5. Let c be r(-4). Let g(s) = 1. Determine c*z(y) - 2*g(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3045 + -2016. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*((-171)\/(-264))\/(-19))\/((-87)\/1624)\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 17 + 17 + (-5*j + 0*j + 2*j)*(j - j - 2*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 7*q + 9. Let i be j(6). Suppose -2*y + 60 = y + i*b, -5*b - 130 = -5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 75, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/30 + y**4\/24 + y**3\/2 - y**2. Let t be l(-2). Let z(r) = r**2 - 2*r - 5. Is z(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + 78\/10 + -3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381668 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 - 0.3. Let q = -1.2 + -3.3. Let f = 4 + q. Put f, t, 2\/7 in descending order.\nAnswer: 2\/7, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4707 and 1071104.\nAnswer: 9639936","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 8542768.2 rounded to the nearest 100000?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*i - 22, 0 = 4*i - 5*g - 24 - 0. Which is smaller: i or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 21*y**2 - 10*y - 5. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2420224200 (base 5) to base 12.\nAnswer: -1a77a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12883280029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, a: 9, r: 4, f: 2}. Give prob of sequence aaaf.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*sqrt(60)\/(sqrt(24)\/sqrt(2)) + -3 + -5 + sqrt(245) + 0)**2.\nAnswer: -110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:07 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -55 + 7 + (1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 100.4. Sort 0.22, 5, 0, x in increasing order.\nAnswer: x, 0, 0.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 12011382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from mssessemsmmss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -h - 6, -5*j + 4*h + 128 - 138 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15 = -2*h. Suppose w = 3*d + h - 1, 24 = 5*w - d. Suppose w*i + 0*i - 3*s + 5 = 0, s - 5 = 0. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*3\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-1*sqrt(5)*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x**3 - 1614*x**2\/5 + 5412*x\/5 - 304\/5 = 0. Calculate x.\nAnswer: 2\/35, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2002\/(-2160) + (112\/(-240))\/(14\/(-36)) and 87\/4.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + y**2. Let h(c) = -106*c**2 - 1944*c - 11664. Let n(g) = -h(g) + 2*u(g). Factor n(z).\nAnswer: 2*(z + 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -381.4 - -3245159\nAnswer: 3244777.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (75 - 79)*(-1)\/(-2)*-25 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4677 - 4677. Let i(g) be the third derivative of -13\/120*g**6 + 0*g**3 + v + 0*g**4 + 13\/60*g**5 + 0*g + g**2. Find the third derivative of i(q) wrt q.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3 = -13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.58 + -11. Let f = 11 + -11.08. Let k = x + f. What is the nearest to 1 in 4\/5, -3, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = l - 30 + 4, -3*l - 2*f = -118. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/1)\/((-1)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/(-13) - (-10176)\/11024.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57c - 321a?\nAnswer: -2b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4268, 4278, 4300, 4334, 4380?\n\"Answer: 6*i**2 - 8*i + 4270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2 - 2 - 7*p + 3*p. Let m(i) = 2*i**2. What is m(a(l))?\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**(-3)*j)\/(j\/(j\/j**(-3\/4))))\/(j**(1\/4))**(-6))**(-49))**(-26\/5) assuming j is positive.\nAnswer: j**(5733\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o - 9*o)*(o - 3*o + 5*o)*(-2 + 2 + 37) + (-4*o + 7*o + 0*o)*(1 + o - 1).\nAnswer: -885*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*16\/18*(-861)\/(-28). Calculate the remainder when 320 is divided by 6\/(-4) + a\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x**3 + 2*x**2 - 2*x + 1. Suppose 4*s + 4 = -4*n, 2*n - s = 4*n + 4. Let g be (-1)\/n*-3*-1. Give u(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*v + 105*v + 18 = 0. What is the nearest to -1 in 5, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnynynnnyn. What is prob of picking 3 n?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4 - 20076*t**3 - 1270080*t**2 - 26708724*t - 187090722 = 0.\nAnswer: -21, 10101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 4*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)\/(b*(b*b*b**(2\/5))\/b))**(2\/55)\/((b\/(b*b*b\/b**0*b)*b*b)**(-1\/23)\/((b**(-2\/3)\/b)\/(b*b**(-3\/8)))) assuming b is positive.\nAnswer: b**(-406363\/151800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -141245*c**2 - 2132*c - 533. Let q(d) = -1587*d**2 - 24*d - 6. Calculate -6*o(u) + 533*q(u).\nAnswer: 1599*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077154 rounded to 3 decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 33. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49332, -49338, -49346, -49356, -49368, -49382?\nAnswer: -49398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -331505?\nAnswer: 331501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 427185 - 427182. Factor 56 - 16*n - 230\/7*n**2 - 50\/7*n**h.\nAnswer: -2*(n - 1)*(5*n + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.7386, -0.04, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.3 take away -37.2612255?\nAnswer: 115.5612255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1651570*k*s - 2145844*k wrt s.\nAnswer: 1651570*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 567044, 1134087, 1701130, 2268173, 2835216?\n\"Answer: 567043*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 + 0 + -5 - 1) + (25 - -29).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 times -0.701?\nAnswer: 346.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670595.\nAnswer: 5, 71, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 203459.\nAnswer: 1017295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + j + 0*j + (-2 + 0 + 4)*(-j - 3*j + 3*j) + (0*j + 2*j - 3*j)*(-5 + 1 + 3).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-312))\/(153\/(-204))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Suppose 4*z = -j*s + 28 + 26, s - 2*z = 23. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/35)\/(-93*44\/(-115940))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -945*d**3*n*y**3 - 1408*d**3*n*y**2 - 3*d**2*n + 3*d**2*y**3 + 26*d*n*y**3 - 127*d*n*y**2 + d*y + 2*n*y wrt d?\nAnswer: -5670*n*y**3 - 8448*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302537 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108611497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 24 = -4*t, 10*t = -4*d + 5*t + 11. Suppose 3 = d*a - 1. Calculate the greatest common divisor of 8 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*o = -26, -5*a - 13*o = -19*o + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -286.3567 - -4.6968848\nAnswer: -281.6598152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1921, -33223, -123279, -301465, -597157, -1039731, -1658563?\n\"Answer: -4896*y**3 - y**2 + 2973*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a359 - -b?\nAnswer: 2a368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/21, 27799, 0.5.\nAnswer: -2\/21, 0.5, 3, 27799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times 90?\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(11) + sqrt(11)*2)**2.\nAnswer: 24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-12441)\/660 - -20\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12687 is divided by 3260.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 - 6 - (0 + 1). Suppose u = 3*o, -3*o - o + 14 = i. What is the second derivative of -2*q + 0*q + 6*q**3 - i*q**3 - 2*q wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.30602824 to one dp.\nAnswer: -40.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20189*m - 46 + 92 - 36 - 10.\nAnswer: -20189*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278316603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4148 and 68\/27?\nAnswer: 111996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93852043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192867\/8 - 24108. What is the nearest to 14 in v, 2, -70?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*j + 17*j + 409*j to the form u*j + d and give u.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 11. Let h(m) = -1 + 4 - 2*m**3 + 6*m**3 - 2*m**2 - d. Let g(a) = -17*a**3 + 9*a**2 - 4. Calculate -2*g(k) - 9*h(k).\nAnswer: -2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15464815?\nAnswer: 5, 17, 31, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1359908)\/5797 - -236)*-1*2\/8.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one halves of a millennium?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 100*u**2 - 2032*u - 2128.\nAnswer: 4*(u - 14)*(u + 1)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2887, 11757, 26487, 47077?\n\"Answer: 2930*t**2 + 80*t - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*k**2 + 18*k**2 + 0*k + 9*k - 6*k to a*k**2 + y*k + x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddmw when four letters picked without replacement from dmydmmywdwddmddwwdy.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/(-4)*100\/1125*-2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170)*1 + sqrt(170)) - sqrt(170) - ((sqrt(170) - 2*sqrt(170)) + sqrt(170))*-1)\/(-4*1*sqrt(160)*6).\nAnswer: sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 35*x**2 + 42895*x - 320580 = 0.\nAnswer: -1233, 52\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-6))\/((-2132)\/(-1072) + -2). Calculate the common denominator of 626\/(-90) - 14\/(-35) and m\/24*(-14)\/35.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1060 and -11\/100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/2, 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32364 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11593801, 23187603, 34781407, 46375213, 57969021, 69562831?\nAnswer: 81156643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2548, 880 in decreasing order.\nAnswer: 880, 0, -2548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244 - 234. Suppose g = -7*k + 136. Sort 0, 1, k, 4 in decreasing order.\nAnswer: k, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = 2*l - m, -l - 5*m = -9. Let j be -2 - (4 + 14\/l). Solve j*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 89*f + 1168 = 88*f, 2*f = 3*s - 871. List the prime factors of s.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i + i + 4*i)*(4 - 4 - 1) + 1 - 1 + 2*i + (-3 + 0 + 5)*(2*i - 2*i + 2*i))*(6*i**4 + 2844 - 2844).\nAnswer: 30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -79046032?\nAnswer: -79046034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (298\/149)\/(2*1\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5170, -5204, -5182, -5104, -4970, -4780?\nAnswer: -4534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1110)\/1800 - (16 - 7)*(-5)\/60?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13667488 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1181*h + 33 - 34 - 6456*h.\nAnswer: -5275*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 18*k + 419 = 0. Let w = k - -1400. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.2 and 10978.\nAnswer: 254689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 27. Let v = -231226 + 3933258\/17. Let k = v - 142. Which is the closest to -2\/3? (a) k (b) 1\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:46 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*i**2 - 76*i**2 + 207*i**2 - 61*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -51 + -294 + 363 + -2 + -8?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -27371 at least as big as -25265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16318204*c**2*y**3 - 10239*c**2*y**2 - 92*c**2*y + c + y**2 wrt y.\nAnswer: 97909224*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10404, 10419, 10436, 10455, 10476, 10499?\n\"Answer: a**2 + 12*a + 10391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3186689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39338489 - -1?\nAnswer: 39338490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2463665\/4 > -615917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -122?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18 = -42. Let y = -214 - -216. Let s be 1 - 3\/2*y\/(-3). Solve l = v, s*l = -v - l - z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/4 + 715*b**3\/4 + 119*b**2\/2.\nAnswer: b**2*(b + 238)*(3*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -657355833\/37 - -17764404. Let k = 1970 + t. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 - 2*r**2 + 1. Let j be m(1). Let c(u) = 8 - 1 - 7 + 4 + u - 3. Determine c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*m - 47 + 16, -5*c = -4*m + 32. Let s(l) = 12*l. Let b(x) = 4*x. Determine m*s(v) - 8*b(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*r + 430*r - 84*r + 14260 = 30*r for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161382.8ng to tonnes.\nAnswer: 0.0000000001613828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from uuoouodywououuood.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11625\/625)\/((-6)\/(-20)))\/((-4)\/2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2*w**2 - 43*m*w**2 + 7651*m*w + 188*w**2 + 59*w + 4 wrt m.\nAnswer: -4*m*w**2 - 43*w**2 + 7651*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 12:36 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 445 + 4?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29959 less than 15882?\nAnswer: 45841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-782)\/(-102)*3\/(-2)*-2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**3 + 392*b**2 - 4*b + 8. Let y(w) = -4*w**3 - 131*w**2 + w - 3. Determine 3*g(p) + 8*y(p).\nAnswer: p**3 + 128*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 5, h: 3, r: 2}. What is prob of picking 2 e and 1 g?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 345*a**2 + 329*a**2 + 88 + 2*a**3 - 668*a**2 to d + v*a + i*a**2 + s*a**3 and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5730*t + 454 - 455 - 6115*t.\nAnswer: -11845*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + (-3 - -1) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 18713\nAnswer: 1\/18713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/17? (a) 0.1 (b) -1\/9 (c) 2.835 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2385 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1)*3*38\/(-38). Let s be (-3)\/9 - 145\/(-3). Let c = t + s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -466 in 5, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2192)*4\/2. Let o be ((-8 - -3)\/(-5))\/1. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**5\/24 - z**4\/8 - 40*z**3\/3 + 114. Let w(o) be the third derivative of c(o). Differentiate w(p) with respect to p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiicc. Give prob of sequence ciii.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 543*x - 534*x + 6 + 27. Let i be c(-3). Solve i*s + 2 = 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053060456 to six decimal places.\nAnswer: 0.005306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 6) in base 13?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 10*u + 2*u + 6*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -766\/15. What is the biggest value in -2, j, 1\/9, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-54 - -4) + 17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-210)*(180\/8)\/9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1884)\/(-36) - 52)\/(16\/(-2)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10.1 times -2\nAnswer: -20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10219, 20921, 31623, 42325, 53027?\nAnswer: 63729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -289 - -294. What is the nearest to 1\/3 in -0.5, 3\/16, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 62 = -5*b, -6545 = -2*m - 2*b - 6573 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6253, 2, -4, 3.\nAnswer: -6253, -4, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:51 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*w**2 - 96*w**2 + 67*w**2 + (7*w**2 + 3*w**2 + 2*w**2)*(1 + 1 - 3) - 8*w**2 + 2*w**2 + 3*w**2 to the form b*w**2 + u*w + v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116911\/2 - -58460. Factor 0*l - 3*l**3 + 0 + 0*l**2 + 21\/2*l**4 - y*l**5.\nAnswer: -3*l**3*(l - 2)*(3*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10298 is divided by 10030.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 155 = 2*s + 54, 3*i + 204 = -3*s. Let r = -27 - i. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 9*r**2 - 44*r - 92. Let z be m(13). Let x(o) = -o**2 + 7*o + 7. Give x(z).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 7:36 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(27)*2) + sqrt(57)\/(sqrt(297)\/sqrt(11) + sqrt(3)) + (-4*sqrt(114)*-1)\/(1*sqrt(150)).\nAnswer: 73*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43 * -1\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/50584 or 1?\nAnswer: 3\/50584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*y. Let f be -3*(-1)\/(-3)*-2. Factor -p**2 - f*p + y*p - 4 + 3.\nAnswer: -(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/70*(-910)\/(-2184)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.196757\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 229. Let k = g - 80. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 5. Is y(9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -264, -263, -258, -249, -236?\n\"Answer: 2*l**2 - 5*l - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, -2, -3674?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839611079.\nAnswer: 3, 43, 53, 89689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/665420 and -93\/700?\nAnswer: 3327100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 28 = 2*g, -3*l - 16 = 3*g + 8. Suppose 2*v + 18 = 8*v. Which is the closest to 1? (a) 1 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ayyyyayatttaatyyy.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -739 - -521 - (-10 - 56)\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**4 - 752*b**3*v - 3539*v wrt b.\nAnswer: 12*b**3 - 2256*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**2\/2 - 6*o - 3. Let d = -10 - -18. Is i(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + (-49 - -48) - -54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (sqrt(288) + -1 + sqrt(288))*3))**2 + -5 + (-3*(sqrt(288) + 0) - sqrt(288)) + 4.\nAnswer: -15600*sqrt(2) + 373571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 0. Let d = -1 + 2. Let k = -9876 + 9876. Sort d, k, -3, f in descending order.\nAnswer: d, k, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -401890, -401889, -401890, -401893, -401898?\n\"Answer: -y**2 + 4*y - 401893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.6 (c) -0.175 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/31)\/o)\/(o\/(o*o**(-4))) assuming o is positive.\nAnswer: o**(-154\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235 + 26. Let h = q + 208.999999997. Round h to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -96*q**3 + 13*q**2 + 44*q + 7. Is f(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknnkkkk. What is prob of sequence nn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -28*(-8)\/18 + -4 + (-592)\/74. Let 2\/3*x + p + 2\/9*x**2 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 9. Suppose 0 = r + k - 213. Is 14 a factor of 8\/(-10)*r\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(10\/9)))\/(i**(3\/2)\/i)*i**(-11)\/(i\/i**6) assuming i is positive.\nAnswer: i**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woyu when four letters picked without replacement from {o: 7, w: 4, m: 1, y: 3, u: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 2, g: 5, q: 5, o: 6}. What is prob of picking 2 g, 1 q, and 1 y?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 16 = -2*g - g, 2*z = -4*g - 14. Let i = g + 8. Suppose -2*o + 3 = -o + 4*x, 5*o + 1 = -i*x. Which is greater: o or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8439 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -4. Calculate the remainder when s is divided by 56\/2 - 2\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5845, 0.3, -0.2.\nAnswer: -0.2, 0.3, 1.5845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18752 - -18752. Solve 2*j - 10 = m, l = 3*m - 6*m + 2*j - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6\/7, 87 in ascending order.\nAnswer: -3, -6\/7, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1312)\/(-112) + 4\/14. Calculate the highest common factor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3\/5 + -2. Let t = -58.3 + 59. Which is the second biggest value? (a) -2\/9 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 - -15050?\nAnswer: 15446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 - 11\/((-44)\/692). Suppose -6 - 18 = -4*q. Calculate the greatest common divisor of q and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2*l**2)*(-259 + 259 - 3*l) + 0 + 5*l**3 + 1 - 3*l**3 to the form a + q*l**3 + c*l**2 + m*l and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 5*x + 2. Let w(v) = -1023*v + 10256. What is the remainder when l(5) is divided by w(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**21\/(x\/((x*(x*x*x\/(x*x**(-1\/32)))\/x)\/x))*(x**(-26)*x)**(-22) assuming x is positive.\nAnswer: x**(18273\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a + a**4 - a**3 + 2 + 13*a**2 - 16*a**2 - 8*a**2 to the form c*a + l + b*a**2 + o*a**4 + n*a**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {w: 1, k: 6, f: 4, z: 4, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/7 + 2*o**3\/7 + 6780*o**2\/7 + 185400*o\/7 + 162000 = 0. What is o?\nAnswer: -30, -9, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/45391 and 85\/1482.\nAnswer: 3540498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 6*c**3)*(2*c + 1 - 3*c + 1)*(2*c + c - c).\nAnswer: 12*c**5 - 24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.047107.\nAnswer: 0.235535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 183*s. Let y(x) = -7*x**2. Determine b(y(i)).\nAnswer: 49*i**4 + 1281*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 741 + -740.97. Let w = -0.06 + -0.14. Put -1, w, f, -4 in decreasing order.\nAnswer: f, w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1221345 (base 7) to base 10\nAnswer: 156588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5\/5 - 12592*i**4 - 503856*i**3\/5 - 1259776*i**2\/5 - 1007872*i\/5 = 0.\nAnswer: -4, -2, 0, 15748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014120018 to four decimal places.\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 - 38 = -5*i, i - p - 9 = 0. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 2*j - 7*j + 4, 0 = o + j - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -18. Suppose -v*k + 3*d = -k - 16, -4*d - 16 = -4*k. What are the prime factors of (-8)\/(-2) + k\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -2*w - 2*w, 3*v + 5*w + 17 = 0. Let u = 24 + v. Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 3*c**3 + 2*c**4 - 2*c**2 - 6*c**3 + c**3 + c as u*c**3 + x*c**2 + b*c + f*c**4 + z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/16836 and -91\/132?\nAnswer: 185196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521976024?\nAnswer: 2, 3, 17, 61, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p. Let a(n) = -4*n**2 - 4. Let y be a(2). Let z be ((-12)\/y)\/((-62)\/(-30) + -2). Let v(x) = -6*x + z*x - 2*x. Calculate c(v(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, i: 4, u: 2, k: 5}. What is prob of picking 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 + 44*d + 42. Let t be n(-10). Factor -2\/7*w**t + 0 + 4\/7*w.\nAnswer: -2*w*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d**4\/5 - 9*d**3 + 342*d**2\/5 + 532*d\/5 + 24\/5 = 0 for d.\nAnswer: -2, -2\/43, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.02383947 - -464795\nAnswer: 464794.97616053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97.862 + 83.05. Round d to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305134170 to the power of 1\/3, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 492 + -493. Suppose -3*l - 33 - 18 = 0. Is l less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519142856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/20 - i**4\/2 + i**3\/3 + 4*i**2 - i. Let l be c(-7). Let w = -27 + l. Solve 2*j = 3*o + 5*j - 18, 3*o - w = -j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47528819, -95057642, -142586465?\nAnswer: -190115288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o\/o**(5\/11)))*o))\/((o**(-1)\/o)\/o))\/((o*o\/o**(-19\/2)*o*o)\/(o\/(o\/(o\/o**(1\/10))))) assuming o is positive.\nAnswer: o**(-558\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1ab79?\nAnswer: -1ab76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 108. Let k = u + 93.5. What is the closest to 1 in -0.1, 3, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 6*q - 10 - 7*q + (0 + q + 0)*(-3 - 3 + 5) + 2*q - q - 3*q + 7*q - 2*q - 3*q.\nAnswer: -2*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -71912 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(12\/(-8)))\/((-2)\/10). Suppose -7 + 37 = j*x. Solve x + 9 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 - 33*q - 4. Let n be i(-8). Let r(y) = 12*y**2 - 16*y + 42. Is r(n) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -917, -909, -899, -887?\n\"Answer: n**2 + 5*n - 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36778\/2999 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.3. Suppose h - 23 = 4*v, 2*v = -12 + 2. What is the second biggest value in 2, y, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/3)*o)**(-11\/2)*o**(2\/5)\/o**(-4) assuming o is positive.\nAnswer: o**(-143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4639, -39, -29, 5.\nAnswer: -4639, -39, -29, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -194 (c) -0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 10*o - 342. Let r = -115 - o. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 1\/2*g**2 + 1\/6*g**3 - 3 + 1\/2*g. Solve i(s) = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*b**3 + 12 - 12)*(-2*b + 2 + 1 + 2) to i*b**3 + v*b**4 + d + p*b**2 + c*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -789, -789, -783, -765, -729, -669, -579, -453?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0256 - 236.5256. Let o = v + -214.7. Round o to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3295 - 3236. Calculate the remainder when 308 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -o + 6, 3*o - 58*c = -57*c + 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 25*g + 2. Let z(r) = r**2 + 3*r + 8. Let v(c) = -2*o(c) + 10*z(c). What is q in v(q) = 0?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*c*p**4 - 3*c*p*s + c*s + 13666*p**4*s - 50*p - 88*s wrt p.\nAnswer: -300*c*p**2 + 163992*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3799.4337 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + 0 + 58 + -50?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 90574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27923*w - 5040 = 27643*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11242280 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -121.260272 times -2\nAnswer: 242.520544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39983 is divided by 227.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**5\/60 + y**4\/24 + y**3\/2 + 56*y**2. Determine f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 97. Let g be (-13)\/(-4) + (-45)\/u. Suppose -2*j = 2*x - 50, -100 = x - 5*x + g*j. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**7\/21 + 5*h**4\/4 + 7*h. Find the third derivative of f(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**6\/70 - s**5\/140 + 2*s**4\/21 - 2*s**3\/21 + s. Factor h(l).\nAnswer: -l*(l - 1)*(l + 2)*(3*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -96 + (29 - 52).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 460878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.207 - 3.207. What is the nearest to -643 in 3\/4, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2525 - -0.3\nAnswer: -2524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -102211001 (base 3) to base 11\nAnswer: -6521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -152675 = 0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50d4 - -47d?\nAnswer: -4b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 244*t + 19. Let c be b(61). What is the greatest common divisor of c and 7543?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 + (-384)\/(-40). Suppose -5*c = -0*c - v. Solve -3*a - c - 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = -238*v - 840*v - 13820 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52202416 + -3?\nAnswer: 52202413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 - (-163 - -257)) + 32 + 2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 12132.\nAnswer: -1\/3033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1e8 (base 15) to base 6\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let k(z) = -4*z**2 - 5*z - 5. Let o(c) = 4*c**2 + 6*c + 6. Let i(y) = 6*k(y) + 5*o(y). What is i(d(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 v when three letters picked without replacement from vzzvzuvvvazvvuazvzv?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 17}. What is prob of picking 3 y and 1 j?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 112030?\nAnswer: -112025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690754763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11265 + -11264.9999993853. Round l to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*a**3*i**2 + 2*a**3*i - 3*a*i**2 - 16*a + i wrt i?\nAnswer: -82*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*f + 200, 2*z = f + 4*f + 73. Let c = -2 + z. Is (c + 2)*2 - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (10 - 0) - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4 = 2*x, -5*x = -2*f + 71 - 81 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2736)*2*-3.\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*c - s, -2*c + s + 6 = -2. Suppose -4*o + 2*o + 48 = 0. Calculate the greatest common factor of o and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -t, -p + 164 = 5*t + 170 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvhppvvvvhhvp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**7\/35 - 51*k**6\/10 - 3*k**5\/4 - 4*k**3\/3 - 3*k**2 - 539*k - 2. What is the third derivative of t(m) wrt m?\nAnswer: 144*m - 3672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 10 + 2, -14 = -4*c + 5*o. What is the remainder when 50 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzv when three letters picked without replacement from {d: 1, l: 4, z: 2, v: 6}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 13*i + 8. Let m(l) = -79*l**2 + l. Give m(o(k)).\nAnswer: -13351*k**2 - 16419*k - 5048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, x: 3, w: 1, n: 10}. Give prob of picking 2 x and 1 n.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 362 - -322?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) - (-258)\/21. What is the highest common factor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48672?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 7?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 18*m + 13 = 4*r, -16 = -m - 5*r. Solve m = -103*n + 102*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*y - 20, 468*y + z + 5 = 463*y. Sort -6368, y, 1 in increasing order.\nAnswer: -6368, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -1\/3*m**3 + 0 + 0*m**2 + m. Let j(v) = -4*v. What is j(f(l))?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 814 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -4*r + 56. What is the common denominator of 55\/14 and r\/100*2\/(-4)*1?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5194 is divided by 291.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 178\/11 or 16?\nAnswer: 178\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3\/5 - 2357*z**2\/5 + 46791*z\/5 - 119187\/5 = 0.\nAnswer: 3, 17, 2337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 28 = -3*a, 5*a = -4*v - v - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/252*-4*(-770)\/(-1320).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122207 + -81361. Let y(i) = -6036*i - 26. Let b be y(-5). Let q = g + b. Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 - 5*f**4 - 15*f**3 + 5*f**2 + 10*f = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 - 0.1. Let u = c - 1. What is the third smallest value in -2, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 82 = 5*w, 6*a = -w + 5*a + 14. Suppose 5*y - 1125 = 395. What is the highest common factor of w and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -29*s - 17. Let n(p) = -5*p - 6. Let c be n(-3). Let g(z) = -47*z + 10. Let b(q) = 9*q - 1. Let y(o) = 6*b(o) + g(o). Give c*y(d) + 2*t(d).\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2605 - 2711 + 56*a**3 - 2616 + 7932.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -431 - 169. Calculate the highest common divisor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1109, -2131, -4921, -10367, -19357?\nAnswer: -32779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58873 is divided by 101?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -212\/78591?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(13455\/2070)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -2030 (c) -2.515\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s + 21. Let g be (-10)\/(-35) - (-16)\/s. Let k be g - (-100001 - (-1 - -2)). Round k to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 713 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3 + 3)*(2*b - 6*b + b) - 38*b + 10*b**2 + 38*b + b**2 + 0*b**2 - 2*b**2 + (4*b - b - b)*(-2*b + 0 + 0).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12395067 - 12395101 = 4*t + l, 2*l = 4*t - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197 + -72. Suppose -4*t = 3*x - c, -5*x - 3*t + 140 + 72 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 + 3*p + 1. Let v(f) = -f**2 - f. Let t(n) = n**2 - 4*n - 6. Let k be t(5). Give k*c(d) - 5*v(d).\nAnswer: -2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52395 + 85232. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/28 - 3\/((-84)\/13684). Which is bigger: 487 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*f**2 - 3\/2*f + 3 = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/3))**(-24)*(b*b\/(b*b*b**0))**40)\/(b**5*b**(-2\/5)*(b**(-1))**26) assuming b is positive.\nAnswer: b**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4227 is divided by 236?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6848\/321 - (4 + 17))*27.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8316 and 108416?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 9*s**2 - 10*s + 8. Determine o(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + w. Let a(x) = 3*x**3 + 7*x**2 - 3*x + 4. Let d be 1*8*1\/2. Let h(u) = d*r(u) + a(u). Determine h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyaypup. What is prob of sequence au?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-35)*60\/(-16)*1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-4*m + 5*m - 2*m) + m + 0*m + m + (-3 + 3 - 2)*(0*m - 2*m + 0*m).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 2*h**2 + 6*h - 2 - 4*h**2. Let c be g(5). Suppose c*z = 8*z. Solve -3*y + 12 = -z*y + 3*v, 4*y = 2*v - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjpvvpjjv. Give prob of sequence jj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.517*1.9076.\nAnswer: -0.9862292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7865 minus 360?\nAnswer: 7505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 74 (b) 7 (c) -0.05 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3485, 3482, 3479, 3476, 3473?\nAnswer: 3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/12 - 7*a**3\/6 + a**2. Let k be u(7). Suppose 2*b = 6*b - 8. Solve 4*d - 2*g + 3*g - 1 = 0, k = -b*d + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-15))\/(-13)*10\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7059382683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 170795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w + 9. Let l be m(-3). Suppose 15 = 5*p - 3*c, 4*p - p + c - 9 = l. Suppose -24099 - 5901 = p*j. Round j to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*q + 40 - 571 = 712. Let x(o) = o**3 - 10*o**2 - 6*o - 24. What is x(q)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-3)*27*-2. Suppose -5*m = -h + 14. Is 11 a factor of m\/44 - 1380\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 84, 162, 240?\n\"Answer: 78*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x + 10. Let y(g) = 26*g**2 - 54*g. Give v(y(u)).\nAnswer: -182*u**2 + 378*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 0.5, 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1133 - 729. What are the prime factors of l?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 4:00 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57419 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*g - 284037, -471474 + 187437 = -3*x - 2*g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -770 (base 13) to base 15.\nAnswer: -59e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*c + 12. Solve c*l - 4*p = -10, l = -2*p + 2 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153535 by -5.\nAnswer: 30707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 0.03. Let f = 0.06 - g. What is f rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 + 3*w - 4. Let f be 27\/(-9) + 3*2. Suppose 0 = c - 4*c + 2*a - 14, 0 = -c + f*a - 7. Give k(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24790550.\nAnswer: 2, 5, 23, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 + 14*p**2 - 2*p**2)*(-6547 + 2923 + 2196).\nAnswer: -28560*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.242289 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11442 - -11222?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 15*f + 47. What is the lowest common multiple of m(3) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7720581 and 4092.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 14018.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95, 190, 277, 356, 427, 490, 545?\n\"Answer: -4*o**2 + 107*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + h**2 - h + 1. Let o be m(1). Let j(r) = r**3 - r - 1. Let k be j(o). Let f be ((-2)\/4)\/((-7)\/(-8) + k). Solve f*y + 8 = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285.8 + 280.8. Which is the closest to 3\/13? (a) j (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128383 or 128378?\nAnswer: 128378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*t + 75 = 0. Suppose -n - 10 = -3*s + 6*s, 0 = s - 4*n + t. Suppose -p = -4*p + 5*h + 22, h + 14 = 3*p. Put 2, p, s in increasing order.\nAnswer: s, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(0 + -1) + 3. Suppose -3*i - 2*f = 8, 5*i - 3 = 3*f + 9. Let z = v + i. Solve 5*u - u + z = 2*o, 3*u - 2*o + 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u**(-3))**(-9\/7) assuming u is positive.\nAnswer: u**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 + 3*j**2 - 12*j + 7. Is k(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*x = -172*x - 24. Let s(h) = -2*h**2 + 3*h + 8 - 3*h + 2*h - 4 + x*h. Determine s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109.04 + 0.04. Let q = c - -109.0000015. Round q to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*w + 1443 - 299 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16879, 135657, 458241, 1086535, 2122443, 3667869, 5824717, 8694891?\n\"Answer: 16984*g**3 - g**2 - 107*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-1 + sqrt(1900))*4*-3 + 5*(-2*sqrt(19)*-1 - (sqrt(304) - (sqrt(304)*2 + sqrt(304)) - sqrt(304))))**2.\nAnswer: 93100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 76. Put -8, m, -2 in increasing order.\nAnswer: -8, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252 a factor of 69098496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60990567 a multiple of 1111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49453815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(315)*3)\/(((sqrt(49) - sqrt(98)\/sqrt(2))*6 + sqrt(49))\/sqrt(7)))**2.\nAnswer: 32805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + h + 8, -5*k - 2*h + 10 = h. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25364*x - 28594 wrt x.\nAnswer: -25364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5, 2\/3, -0.5, -2\/1047 in decreasing order.\nAnswer: 5, 2\/3, 0.3, -2\/1047, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5 - 15. Suppose 4*c = -3*p + 4*p - 6, 0 = p + 6. Let v be z + ((-233999952)\/4)\/c. What is v rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1607, -3215, -4823?\n\"Answer: -1608*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 7*u + 4. Let a be m(7). Let w = -4 + a. Suppose -l + f + 39 = w, 39 = -3*l + f + 156. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -262258*c - 614321 wrt c?\nAnswer: -262258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301\/116 or -2?\nAnswer: -301\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d - 40. Suppose -2*z - z = -84. Suppose 7*t = 3*t + z. What is the remainder when a(t) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*g**3 + 3)*(-3 - 1 + 3).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 4:19 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -89 - 108) + 149?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*l + 1, 0 = 3*l - 2*l + h - 3. Suppose 10*g - 7 = 23. Sort g, l, -114, 2.\nAnswer: -114, l, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372320 (base 8) to base 12\nAnswer: 62240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2870, -6087, -9304, -12521, -15738?\nAnswer: -18955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (19 + 61) - -181?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h - 11. Give u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*k**5 - 59*k**3 + 31*k**3 + 28*k**3 - 188*k wrt k.\nAnswer: -400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89713378487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 13. Suppose 3*n + 18 = 8*n - 3*b, 4*b + 16 = 4*n. Let r(l) = -l**3 - 12. Give n*j(p) - 4*r(p).\nAnswer: -2*p**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2 + 360 + -360)\/(10\/(-175))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90086 less than 13542?\nAnswer: -76544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -241 - 6*d**2 + 241 + 3*d as w*d + x + k*d**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2105*w + 3*m = -2100*w - 28, 0 = -3*w + 5*m + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z - 38. Let k be c(11). Let i(d) = d**2 - 4*d + 6. Let l be i(0). Differentiate l + 0 + 13 + k*u**4 wrt u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36571956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/(-84) - 6\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/6*-1*11. Suppose 5*j - 2*k - 23 - p = 0, -k - 5 = 0. Solve -5*h = -15, 2*t - 3 + j = 4*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-1 - 4)) + 3. Let b(t) = -t**3 + 5*t**2 + 3*t - 4. Let d be b(w). Let v = -40 - -161. Calculate the highest common factor of d and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*m**3*x + 47*m**2*x + 3*m*x - 307*m + 2 wrt m.\nAnswer: -420*m*x + 94*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-8) - (-8)\/32)*-1. What is the nearest to w in 0.5, -5, 2\/63?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i - 3. Suppose 0 = -2*o - 10, n = -3*o - o - 16. Let p(r) = -9*r - 15*r - n*r + 2 + r**2 + 19*r + 3. Give 5*g(q) + 3*p(q).\nAnswer: 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(-1 + 1 - 1) + 4 + 1 - 4 - 2 - 1 - 1)*(-u**5 - 8*u**5 + 4*u**5).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/b)**(6\/19) assuming b is positive.\nAnswer: b**(42\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 4, -37 in decreasing order.\nAnswer: 4, -0.7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*q + 24, b + 2 = 5. Let s be (q + 3)\/(2 + -5). Suppose 2*p = -3*v + 6, s = v - 0*v + 5*p - 2. Which is smaller: 1\/2 or v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, q: 2}. What is prob of picking 3 h?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 708677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Suppose k - 24 = -p*k. Suppose 21 = k*o - 175. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/17 - 30*n**3\/17 - 122*n**2\/17 - 42*n\/17 + 196\/17 = 0. Calculate n.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 6*i - 4. Let h be c(7). Let j(a) = -4*a**2 + 5*a**h + 2*a**2 - 158 + 159. Let f = 5 - 4. What is j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*q + 0*q + 38922 = 0, 3*q + 29214 = 3*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -17. Suppose 0*l + 59 = 5*o - 3*l, 0 = -3*l - y. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4396018*15.\nAnswer: 65940270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39745 + 27358. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 18*g**3 + 7*g - 6*g - 3*g**2. Let z be x(-1). Suppose -4*l + 68 = -2*l. Calculate the highest common divisor of l and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -352*r + 348*r - 16. Let a be ((-15)\/(15\/r))\/1. Solve -9*k = -a*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22550724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from caccaaccccc?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 8) to base 6.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l + l + (l + 0*l + l)*(-5 + 3 + 1) - 7*l + 3*l + 3*l + 0 + 0 - 2*l + l - l - l + 2*l - l + 2*l + 3*l + 0*l - 2*l)*(-2*l - l**2 + 30 - 7 - 16).\nAnswer: l**3 + 2*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 + 18 = 0. Let s(v) = -v**2 - 18*v + 9. Let p be s(r). Let x(a) = 6*a + 27. Let d be x(p). What is the highest common factor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = -16. Let t be v\/(-6)*(-3)\/(-4). Sort 4, t, 1 in ascending order.\nAnswer: 1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/(-28*587\/(-1826) + -9). What is the highest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*m - 789 = 0, 2*m - 198 = 2*h - 590. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 + 11*l**2 - 3*l + 2. Let g(m) = m**2 + 1. Suppose 10 = -3*n - 2*n. Let x(r) = n*g(r) + o(r). Find the second derivative of x(c) wrt c.\nAnswer: 24*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - 1) - (12 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 181428 and 36.\nAnswer: 544284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 + w. Let z be n(-1). Let u = 770069 - 770066. Solve -m = u*t + 15, 2*t + 20 = 3*m - z*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -2129*m**6\/30 + 17*m**4\/4 + 30*m**2 + 13746*m. What is the third derivative of r(q) wrt q?\nAnswer: -51096*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -66. Suppose -227 = -j + 3*h - 6*h, -v*j + 448 = 3*h. Let l = j - 130. Round l to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91937523 to the nearest integer?\nAnswer: 9588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2. Let y(t) be the first derivative of -5*t**4\/12 + 68*t - 35. Let m(w) be the first derivative of y(w). Give b(m(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6838 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(68))**2 + -5.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let y(l) = -17*l + 6. Let h(a) = -2*c(a) - y(a). Let f(w) = -164*w + 23*w + 29*w + 2 + 30*w + 36*w + 37*w. Give 13*f(t) + 6*h(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6))\/(3\/6). Let b be 2541\/18 + r\/18. Suppose -c - 2*c + b = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - 3*u**2 + 2*u. Suppose b + 0*f + 4*f - 16 = 0, -2*b = -3*f + 1. Let q(c) = 800*c**2 + 5*c**3 - 7*c + 9*c - 804*c**2. What is b*v(o) - 3*q(o)?\nAnswer: o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 215848191 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, -0.2, 68, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*u**5 - 352*u**4 - u**3 - 2*u**2 + 7356*u + 1?\nAnswer: 5580*u**2 - 8448*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 610 + -606. Calculate the smallest common multiple of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/28)\/((50568\/(-343))\/(-43))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9107 + -8933. What is the remainder when 857 is divided by i?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1262*i**3*x**2 + 3*i**3 + 563*i**2*x**2 + 61259*i**2 + i - x wrt x?\nAnswer: 2524*i**3*x + 1126*i**2*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/7)\/r)\/r**15 assuming r is positive.\nAnswer: r**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*y - 50 = 3*d, -d + y - 41 = 0. Let j = -44 - d. Solve j = -0*o - o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 2*w + 2. Let t(p) = -p**3 - 3*p + 3. Calculate -3*i(g) + 2*t(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67969 + 110863. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -6. Suppose 3*a = 4*d - 43, c*d + a = 44 + 24. Suppose -8 = -3*u - 5*r, -5*r - 23 - 24 = -2*u. What is the lowest common multiple of d and u?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(567) + 4 + -4)**2 + 4 + -4 + (sqrt(567) + 1 - sqrt(567)).\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 377\/(-435) - (-3)\/15 - (-42)\/9. Let s(j) be the third derivative of -37\/60*j**5 + 0 + 0*j - j**3 + 27*j**2 + 0*j**u. Differentiate s(k) wrt k.\nAnswer: -74*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 + -139. Solve -4*p = 12, 4*t - 3*t + h = -p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let n(x) be the second derivative of -x**5\/120 + x**3\/2 + 2*x. Let g(q) be the second derivative of n(q). What is c(g(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-14))\/((-2244)\/154). Is 0.4 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 43*k**7\/15 + k**6\/40 + 479*k**5\/30 + k**2 - 1601*k. What is the third derivative of o(j) wrt j?\nAnswer: 14448*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 39\/4, -4\/3, -0.231, -2?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9507 - -10147.3. What is p rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14484 plus 2.0613?\nAnswer: 14486.0613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 2*d)*(-3 + 3 + d) + (-6*d - d - 5*d)*(2 - 6*d - 2).\nAnswer: 74*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - 75 - (-3 - 6 - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-12) - (-4)\/6. Factor -l*o**2 + 0 + 5 + 6*o**3 - 5 - 3*o**4.\nAnswer: -3*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -72878, -40, -1 in ascending order.\nAnswer: -72878, -40, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*g**3 - 2\/7*g**2 + 0 + 0*g.\nAnswer: g**2*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 0 + -3 - 3252\/(-336). Let y = o - 204\/35. Find the common denominator of y and -97\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10464253 (base 8) to base 11.\nAnswer: 1300258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -29, 8, -1.\nAnswer: -29, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4187886 to the nearest integer?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -213*(20\/(-6) - -3). Let s(v) = n*v + 14*v + 56*v - 33*v. Let r(o) = o. What is r(s(c))?\nAnswer: 108*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42970785 - -14986659.\nAnswer: -27984126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1757.16 * -10\nAnswer: -17571.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w - 439. Let s be t(-55). Suppose s = -8*x + 73. Let n(j) = -j + 18. Determine n(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.1 (c) 96 (d) 0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-1106)\/(-91))\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20384917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 94987 = -3*b, -b + 31684 = 47*r - 43*r. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(4 + 0 - 3)*(d**2 - 321*d**3 + 313*d**3 + 22*d**2).\nAnswer: -32*d**3 + 92*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -14. Let w be (-3)\/(1\/((-4)\/3)). Solve 3*f - 7 = -r, -d*r - w = 5*f - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 4. Calculate the remainder when 109 is divided by h(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/119218527 and 4\/99?\nAnswer: 1311403797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/504 + g**6\/5 + 29*g**5\/15 + 76*g**2. Let j(c) be the third derivative of w(c). Differentiate j(o) with respect to o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1)\/10 - (-1)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81.7 - 78.7. Let w = 0 - -0.5. Let v = -39.1 + 39. What is the closest to -3 in w, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(-3*((sqrt(304) + 0 - sqrt(304)) + 4)*4)**2.\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 6\/5 (b) 4 (c) 69\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103540142 + 15?\nAnswer: -103540123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5*c - 6*c - c**4 - 2*c + 2*c + 3*c**2 as a*c**3 + z + s*c**4 + n*c**2 + b*c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x - 4. Let o be q(-5). Let z = 10 + o. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211320 + -2?\nAnswer: 1211312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 580 + 1055. Is m a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/9 + 242*l**3\/9 + 2896*l**2\/9 + 9568*l\/9 + 768 = 0.\nAnswer: -108, -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 12*w**3 - 9*w**2 - 30*w + 24.\nAnswer: 3*(w - 1)**2*(w + 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 546.14+31.54063\nAnswer: 577.68063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43549931*q**4 + q**2 + 227727*q - 3 wrt q.\nAnswer: 1045198344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, j: 10, o: 1, p: 1}. Give prob of picking 2 j.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + 92. Let g = 274 - r. What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11*w**(2\/19))**(1\/10) assuming w is positive.\nAnswer: w**(211\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l - 12 = 0. Suppose -3*x + 3 = -l. Calculate the smallest common multiple of x and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -75*u - 1. Let z be v(-2). Is (1 + -1 - 4\/(-4))*z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 10) to base 11.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m + 698*m**2 + 247*m**2.\nAnswer: 945*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 4*l - 4. Let c be b(4). Let g be (-26)\/c + (-2)\/(-4). Let a be -1 + 472\/116 - 2\/29. Solve g = z + a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -73. What is the closest to -2\/3 in m, 2, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43095 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -212. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 7*h**2 - 6*h - 6. Let c(s) = 3*s**3 - 6*s**2 - 5*s - 5. Let f be (-1 - (-22)\/10)*(11 - 6). What is f*c(q) - 5*d(q)?\nAnswer: 3*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 8. Let n be a(-6). Suppose n*y - 2*i - 7209 = -5*i, -12 = -4*i. Round y to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/51, -4, 693\/115 in descending order.\nAnswer: 693\/115, -2\/51, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -1 + -25 + (-113 - -111).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5282400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -38. Solve k = -2*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - y = 215, -4*q - 1059 = -9*q - 3*y. List the prime factors of q.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b + 165 - 67 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/60 + -20 + 31 + (-127)\/12. Suppose 3*a + 2 = 5. Suppose -h*l + 1\/2*l**2 - a = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785848 is divided by 157161?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**3 + 15*z**2 + 617*z + 116365 with respect to z.\nAnswer: 6*z**2 + 30*z + 617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 - 6*z**2 + 6*z + 2. Let m(c) = c**3 - 2. Let j be m(2). Let l(p) = 7*p**3 + 11*p**2 - 11*p - 4. Determine j*l(y) + 11*o(y).\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -19*g**4\/12 - 20*g**2. Let h(a) = 0*a - 2*a + 17 - 17. Determine c(h(m)).\nAnswer: 76*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1300*c**3*s**2 + 11*c**3 - 70*c*s**2 - 64*c wrt c.\nAnswer: -7800*c*s**2 + 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-9*(-3)\/45). Let g(b) = b**2 + 5*b + 3. Let m be g(-3). Put o, -1, m in descending order.\nAnswer: -1, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 23239\nAnswer: 2\/23239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -14. Suppose 4589 = -i*k + 12983. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + f**2 - 12*f + 2. Let k be a(-4). Suppose k*v = v + 4. Solve -2*r = -3*r - v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.095 (b) -6 (c) 0.5 (d) -2\/775 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v - 2. Suppose 0 = -18*o + 5 - 5. Calculate s(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 17 = 73. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 11*v - 10. Let o be x(10). Suppose 5*z - 161119 - 51381 = o. What is z rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934*x + 941*x + 8 - 1918*x.\nAnswer: -43*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10738143?\nAnswer: 3, 13, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 1320 + z - 10*z.\nAnswer: -6*z + 1320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -43*t**2 + 19338*t + 77343. Determine x(-4).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -12\/5*t**3 + 9\/5*t**2 + 24\/5 - 3\/5*t**4 + 42\/5*t = 0?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1917 and -2202 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*h - 136. Let l = h + 40. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -7 - -1 - (12 + -35 + 0 + -2)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.7. Let f = v + 0.49994. What is f rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from clslcllcfzcuffl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)\/(s*s*(s\/(s**2\/s*s*s))\/s*s*s*s*s*s)*s**(3\/4)\/s**(-3))\/((s**(-5)\/(s\/s**4*s))\/(s**(-2\/29)*s**1)) assuming s is positive.\nAnswer: s**(4929\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 8*c**2 + 9*c + 3. Let g be m(-9). Suppose 0 = g*z - 68 - 1. Let v = -26 + 94. What is the remainder when v is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -95715051127938?\nAnswer: -95715051127938.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1 (c) -4.5 (d) -5\/3 (e) -0.76 (f) -2\/5 (g) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -728, -5, 6.\nAnswer: -728, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -6477.\nAnswer: -4\/6477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5 - 10. Let n(o) = -6*o**3 - 11*o**2 + 2*o - 4. Let y(c) = -5*c**3 - 10*c**2 + c - 5. Let v(q) = l*y(q) + 4*n(q). Give v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -123*x + 3637. Let w be n(29). What is the highest common divisor of 945 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - (3 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - 245\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 5) + -1 + 3. Suppose 5*v - i = -2, a = -3*v + 5*i - 2 - 8. Round v to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11261 by -4.\nAnswer: 11261\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -43\/4*p**4 + 128 - 71*p**2 - p**3 + 0*p. What is the second derivative of m(j) wrt j?\nAnswer: -258*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 not equal to 4701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1357*t**4 - 63*t**2 + 597836*t wrt t?\nAnswer: -16284*t**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -3*k**5\/110 + 54*k**4\/11 + 219*k**3\/11 + 30*k**2 + 12*k + 36. Determine f, given that u(f) = 0.\nAnswer: -1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20 - (-2 + -2 + 4). Let a be 18\/(-42)*29442\/b. Let j = a + -635. Find the common denominator of j and 33\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(280))\/sqrt(10))\/sqrt(4).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -757*g**3*o**2 + 5*g**3*o*v**3 - 2*g**3*v**3 - 2*g**2*o - 3*g*v**2 - 16*g - o**2*v**3 + 91*o**2 + 78*o*v wrt o.\nAnswer: -1514*g**3 - 2*v**3 + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-100)*2)\/((-289)\/578)*10\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 10*x**2 - x - 8. Let s be (-4)\/(-10) - (-104)\/(-10). Let n be r(s). Is 85 + -3 - (-5 + n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224.99724 + 225. What is h rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838.2013l to millilitres.\nAnswer: 838201.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-12) + 2\/(-6). Let d = 1 - z. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/3 - 326*k**3\/9 + 1042*k**2\/3 + 6374*k\/9 - 820\/3 = 0. What is k?\nAnswer: -2, 1\/3, 15, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 14.2, -5, 186, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4972 - 2273. Suppose -10*c + 421 + t = 0. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwkwwwwkw. Give prob of picking 3 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -494976, -495185, -495394, -495603?\n\"Answer: -209*l - 494767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -37.2. Which is the second biggest value? (a) 1\/4 (b) -48 (c) -4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/15)\/((-1)\/5). Let y = -8719.949 + 8720. What is the second smallest value in 1\/5, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 1082 = 17*s. Calculate the highest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/4 - m**2. Let o(g) = 2*g. Let t(x) = 2*x. Suppose -5*a + 16*a - 44 = 0. Let n(j) = a*t(j) - 5*o(j). What is n(y(i))?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.004 (b) 17 (c) -1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 39, 61, 87, 117, 151?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 1, n: 9, i: 3, e: 3, z: 1}. What is prob of sequence nlzi?\nAnswer: 3\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 18, 5, 6 in descending order.\nAnswer: 18, 9, 6, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -15*x**3 - 5*x**2 - 7*x - 2. Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Let w = -0.6 - -3.6. Let p = -3 + w. Which is the third biggest value? (a) m (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u + u)*(5 + 0 - 3).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7833 + 0.6\nAnswer: 7833.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23637 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 + 300. Suppose -4*i = 3*a - 120, -2*i + 6*i = 4*a + 148. What is the remainder when u is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -2\/5 (b) -2\/329 (c) 10\/41 (d) 2\/11 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 461 = -173. Calculate the smallest common multiple of 40 and m.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s - 2. Suppose 0 = 115*k - 118*k - 9. Let c(d) = -d**2 - d. Suppose 0 = 3*i + m - 2, -4*m + 7*m - 18 = 3*i. What is i*u(w) + k*c(w)?\nAnswer: 3*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + 1 - sqrt(76))*4 - sqrt(76))*2 + (0 + 1 + sqrt(76))*-6)**2.\nAnswer: -64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -112*t + 110*t + 1, h - 3*t = -7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 16*j - 1. Let f be ((-2)\/35)\/(2\/20)*-14. Calculate l(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -15*l + 17. What is b(6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10557 = -514*d + 541*d. Calculate the remainder when 1205 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -29, -0.4, 5\/2, -10\/3, 0, 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2. Let m(z) = -22*z**2 + 5*z. Let t(y) = -286*y**2 + 66*y. Let l(k) = -66*m(k) + 5*t(k). Calculate x(l(r)).\nAnswer: -968*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 30*o**3 - 4 + 5*o + 7*o**3 + 3*o**2 + 0*o. Is x(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-1) + (-1 - -2) + 10. Suppose 11 = 3*h + b. Solve -4*r - 15 - h = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**18\/(t**(-35)\/t))\/(t**(-11)*t*t*t)**(-34) assuming t is positive.\nAnswer: t**(-218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -15.2, -0.2, -1\/2, 0.4, -9\/49?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*j**2 + 26*j**2 - 267*j**2 + 28*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120708389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -207*l + 1. What is the hundreds digit of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 14. Let f(p) = 2*p - 7. Let d(q) = 7*f(q) - 4*j(q). Let y(u) = -6*u - 20. Let t(m) = 8*d(m) + 3*y(m). Calculate t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(384) + -3*sqrt(384) + sqrt(384) + sqrt(384))*1)\/(-4*(sqrt(128) + (sqrt(128) - 1*(sqrt(128) - (-2*sqrt(128) + sqrt(128)))) + sqrt(128))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*g - 13, -96*k - 34 = -94*k + 6*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-2)*(-72)\/(-90))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:56 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 1. Let j be c(-24). Let t = -71 - j. Suppose 3*r + 20612 = 6*k - 8*k, t = -3*k - r - 30904. Round k to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.5 + 6.4. Let y = -2 + j. Suppose -11 = -4*p + 3*b - 2, 0 = -2*p - 2*b - 6. Which is bigger: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 81. Let h(v) = 5*v + 1. Let a be h(t). Suppose -1243 = -a*y + 539. What is the lowest common multiple of 16 and y?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31301 - 31298.1. What is the nearest to 2\/7 in v, -6\/13, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-17)\/x)\/x)**(-21) assuming x is positive.\nAnswer: x**399","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(475) + 2 + 0 - -5*(-2 + sqrt(475))) + 4))**2*-2.\nAnswer: -1232352 + 17280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -396283?\nAnswer: 396296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 3:00 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/(-18)) - (-765)\/((-16830)\/110)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1206.4 and -423475685.\nAnswer: -423474478.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12495, 12487, 12473, 12453, 12427, 12395?\n\"Answer: -3*j**2 + j + 12497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 + -1 - -11 - (1 - -14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 47 - 9*d**2 - 13*d**2 - 9*d**2 + 32*d**2. Let u(q) = -9*q**2 + 8. What is u(t(a))?\nAnswer: -36*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2. Let k(c) = 11*c + 7. Let o(j) = -5*j - 3. Let s(r) = -3*k(r) - 7*o(r). Determine s(z(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 9*t + t. Suppose -68*a = -62*a - 54. Let z(l) = -2*l + 12*l - a*l. What is w(z(i))?\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/8*(-762)\/(-889)*2\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 381599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.84 + -0.16. Let x = 10 + c. What is the smallest value in x, -5, 3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6043*g**2*q**3 - g**2*q - 4*q**4 + 655*q**2 wrt q?\nAnswer: 36258*g**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 t when four letters picked without replacement from {j: 11, t: 9}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000222451 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j = 86*j - 30. Let l(p) = p**2 - 3*p. Determine l(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808937.3 centuries to months.\nAnswer: 970724760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.6 or 249?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + (-7 + 1 - -10) + -8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -5, -1, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d - 20. Suppose 0 = 2*t + d, -5 - 5 = -4*f + 3*t. Let w = 0.08 - -3.92. What is the closest to f in 3\/5, w, 4\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25c2 + acee?\nAnswer: d3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t**2. Let l(n) = -14*n + 6*n + 9*n. Determine w(l(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36 + -0.04. Let j = -170\/7 - -24. Let n = -77 - -76.91. What is the second biggest value in n, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62869872 divided by -4134?\nAnswer: 15208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 602201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 8. Let z be h\/12 - 30\/(-9). Suppose -3*f - 5*p + 6 = 0, -2 = -f + 2*p - 0*p. Solve 0 = z*x + 14 - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*p + 2*a, p - a = -3 + 10 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-20 - (-12 + 28)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**3 - 24*b**2 + 4. Let s(t) = 3*t**3 - 12*t**2 + 2. What is 5*s(d) - 2*x(d)?\nAnswer: d**3 - 12*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*x**2 + 24*x**5 - 3*x**2 - 8*x**5 wrt x?\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 1260712*b - 36558966.\nAnswer: -2*(b + 29)*(b + 630327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9312*r. Let z(o) = -12*o**2. What is z(i(t))?\nAnswer: -1040560128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 14. What is l(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26846, 53735, 80624?\nAnswer: 107513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -75384.\nAnswer: -1\/2094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -586 - -589. Let t(x) be the first derivative of -x**2\/2 + 12*x + 5. Let g be t(6). Solve g*b + 12 = m*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 143253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 less than -63?\nAnswer: -64.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 1, r: 4, c: 3}. Give prob of sequence nyn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*t - 5, 0 = t + 6 - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -5, 12\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012648266 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*t**4 + 117*t**3 + 669*t**2 - 1521*t - 330 = 0. Calculate t.\nAnswer: -5, -1\/5, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-27)\/(-6)))\/((-147)\/147).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37156644797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -763 + 763.000551. Round g to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 5. Let z be (13 - 7) + 144\/(-32) + (-1)\/(-2). Let b(f) = 0 + 4 - f + f**2 - 2*f. What is z*d(u) - 3*b(u)?\nAnswer: -3*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.88. Let v = h + 5.12. Let n = 6 - v. What is the nearest to n in -2\/11, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/17, -1.3, 4309, -6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/2 + 4005*o**2 - 5330619*o\/2 - 10725414.\nAnswer: -3*(o - 1337)**2*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + 5*sqrt(24)\/sqrt(3)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3 + 77345*m**2 - 1495600928*m + 1495523584 = 0.\nAnswer: 1, 38672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 - -8 - (1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 1 + 21. Let h be t\/(-20) + (-2153)\/(-4). Let y = h - 324. Is y 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 5*i**3 - 29895515*i**2 - 45015453*i?\nAnswer: 30*i - 59791030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*m - 7*z, 0 = 5*m + 3*z. Suppose m*t - 9 = -3*t. Suppose t*i + 3*g - 3926 = 14080, -29990 = -5*i + 5*g. What is i rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 8*j**2 + j - 4. Let o be i(8). Suppose 2*q = -o*m + 42, -q = -4*q - 3. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157255945 divided by -23?\nAnswer: 6837215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39611 and 554.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44734 take away 0.4291?\nAnswer: -0.87644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-26) - (-903)\/39. Suppose 0 = -3*j - 4*c + s + 136, -c + 3 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (-5 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 228*f**3 - 1995*f**2 - 1764*f.\nAnswer: 3*f*(f - 84)*(f + 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnvnnitvnnitvnv. Give prob of picking 3 v and 1 t.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1199, -606, 9, 0.7.\nAnswer: -1199, -606, 0.7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.04 (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42510720 divided by 70\nAnswer: 607296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -596 - -604. Does t = -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118 - 2412?\nAnswer: -22b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/272864 and 91\/32539032.\nAnswer: 130156128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -31, 3, 5.\nAnswer: -31, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from zqllllxflzlqzqzv?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:01 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 833280 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: Calculate (-70)\/40 + ((-295)\/(-20) - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1430 by 2.\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let i(n) = -37*n**2 + 2*n. Calculate p(i(y)).\nAnswer: -37*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 944 + -941. Sort t, 25\/8, -1\/8, -4\/3 in descending order.\nAnswer: 25\/8, t, -1\/8, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 greater than -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2272870, 4545730, 6818584, 9091432, 11364274, 13637110?\n\"Answer: -3*b**2 + 2272869*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f + 1. Suppose 6*j - 69 + 51 = 0. Let r(i) = i**2 - 3*i - 3. Let c be r(4). Suppose 0 = 4*p - j*p - c. What is u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/2)\/s))**4*s**6*s\/(s*s*s**(-6)\/s*s) assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*v = -431*v - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 37*b + 67. What is y(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 - 201. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (205\/(-4100))\/(2\/10). Sort 3, -66\/19, t in decreasing order.\nAnswer: 3, t, -66\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 47*i**2 + 51*i + 173. Determine z(-46).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 40*l + 44. Is 12 a factor of k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (31\/(-28) - -1)*4. Let p = 613\/528 + -31\/48. Let f = p - 2\/11. What is the closest to f in -4, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -35854?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 994, 1985, 2974, 3961?\nAnswer: 4946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221092 * 2.\nAnswer: -442184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -1.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 0. Let h be i - (-8)\/((-12)\/3). Suppose 7*d = h + 16. Solve -2*z = 3*b + b, d*z = -4*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-3365)\/(-2100)*2. Let s = 15\/14 + a. Let i = 105 - 112. What is the third biggest value in i, 5\/2, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 331 - 331. Let q = -0.1 - 0.3. Sort 0.4, d, q in decreasing order.\nAnswer: 0.4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 68.\nAnswer: -5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + (-1*sqrt(19) - sqrt(19))*-4)**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -6. What is the remainder when 20\/(-4) + 136 + (6 - 0) is divided by (-107)\/(-3) - p\/(-9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 2*r. Let z be w(3). Suppose f = -q - 1 + 8, -z*q = -9. Suppose -v - 12 = -f*p, 3*v = 5*v. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 29*t**8\/56 - 7*t**4\/12 + 21*t - 20. Let j(s) be the first derivative of o(s). What is the third derivative of j(g) wrt g?\nAnswer: 3480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryyllyyry. What is prob of picking 1 l and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861336508 to the power of 1\/2, to the nearest integer?\nAnswer: 69723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11653 is divided by 74.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*i - 6 = 0, -4*c - i + 24 = 7. Suppose -16 + 61 = c*r. Let a = r + -8. Is a > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b**2 - 5*b + 55. Let r(y) = y**2 - 2*y + 22. Let q(s) = 15*r(s) - 6*z(s). Let o(c) = -c. Let j(p) = -p. Let a(i) = -5*j(i) + 3*o(i). Give q(a(m)).\nAnswer: 228*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-435)\/(-58))\/((-10)\/(-2)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -108807?\nAnswer: 108813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 2*m**3\/3 - 2*m - 1. Calculate h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 0, 6*v - d = v + 3235. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*w, -6*a - 5 = -4*a + 5*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 - 1588*b**4 - 118582*b**3 + 495052*b**2 - 374880*b = 0?\nAnswer: -710, -88, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 18808 + 71638 = 773528. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 take away -6141.13?\nAnswer: 6247.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10016 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 + 2*t + 1. Let q be m(-2). Let r = 4223 + -4226. Which is the biggest value? (a) -0.5 (b) r (c) -5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/26? (a) -0.5 (b) -4\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 39, 56, 79?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 2 - 2 - 4 + 4 + 2 - 3 - 1 + (-2 + 3 + 0)*(-3 + 3 + 2))*(0 + 7 - 13)*(4*l**3 + l**3 - 3*l**3)*(3*l + 10*l - 5*l).\nAnswer: 96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8600 - 12*d**2 + 8600. Let l(a) = 7*a**2. Give m(l(j)).\nAnswer: -588*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7289838 litres to millilitres.\nAnswer: 728.9838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3500 + 14003\/4. Let f = -0.01 - -0.41. What is the nearest to f in 2, -1\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 16*v**2 - 18*v + 9*v**2 - 63 + 4*v**2. Let i be j(-3). Solve -5*q = 3*t + 2*t - 30, i = 5*t + q - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 103*u - 1633. Let b be t(14). Factor 0 - 3\/5*f**4 + 3\/5*f**3 + 0*f + 1\/5*f**b - 1\/5*f**2.\nAnswer: f**2*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50505 = -10*h + 535. What are the prime factors of h?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 177 = -4*c. Suppose 118 - c = v. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.05 + 0.05. Suppose 2*z = 3*o - 0*z - 11, -4*o = -5*z - 24. Suppose 3*l = 12, 5*d + 6*l = l + 5. Which is the nearest to o? (a) 4 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -5 (c) 0 (d) 5 (e) 108\/109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6055, 13530, 21005?\n\"Answer: 7475*w - 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**7\/3360 + c**6\/480 + c**5\/160 - 2*c**4\/3 - c**2 + 137*c. Let w(n) be the third derivative of a(n). Factor w(b).\nAnswer: 3*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-3 - 2375)) + -4. List the prime factors of f\/38 - 2\/(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 (base 7) in base 8?\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*v + 12, 5*v - 2*v = 3*s + 12. Suppose s = 17*n + n - 3924. List the prime factors of n.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + -71. What is the greatest common factor of 32 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675128171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*t - 12 - 1, -5*h + 23 = 4*t. Suppose 0 = 10*y - t*y - 32. Does 13 divide (-79)\/(-2) - y\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90.5 + 50.1. Put -0.2, -1\/4, w in decreasing order.\nAnswer: -0.2, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d8507 - -4?\nAnswer: 1d850b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -5, 5, 4 in ascending order.\nAnswer: -5, 4, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+178528\nAnswer: 178527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-20)\/5))\/(14\/(-16)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 + 3*a**2 - 532.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 801.912 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715 and 1144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0 + -3 + 4 + -2*sqrt(847))**2*-2.\nAnswer: -1696 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -136551.\nAnswer: -273102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9 = -4*a + 324, 4*a = -4*c + 312. Calculate the remainder when a is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13 + -16 - -9*1. Suppose -2*l - l + a = 0. Let u(y) = -y**3 - 5*y**2 + 13*y - 5. Let v be u(-7). Is l not equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-28))\/((-30)\/(-105)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -25 + (-5 - (3 - 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4 + 2963600*d**3 + 585529318530*d**2 + 38561985034212520*d + 38561399507857585 = 0.\nAnswer: -197573, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1237444 - -0.1226. What is v rounded to five dps?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i**2 + 316*i + 6. Is f(-28) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfy when three letters picked without replacement from {y: 2, f: 1, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 3*r. Let o = 5 - 2. What is the closest to r in 2, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 1, c: 2, l: 1, q: 1}. Give prob of sequence cq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 3) + 19 - (2 - -1 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 6. Let y be h(-11). Which is greater: y or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 247 - 2544*a - 1321*a + 204 - 454 as j*a + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 14*y + 219, 0*y + 4*y - 11*x = -9*x - 54 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20\/1237 - -117195\/19792. Let h be (40778337\/(-20))\/((-1447758)\/(-4)). Let v = -2\/80431 + h. Calculate the common denominator of v and l.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*l - 1246 - 191 - 417 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**2 + 3. Let h(b) = b. Let a(d) = -40*d. Let t(v) = -a(v) - 30*h(v). Determine t(m(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136 or -83.6?\nAnswer: -83.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 = 23096*j - 23024*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7594? (a) 2\/9 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m**2 - 9*m - 21. Determine a(-5).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98499.\nAnswer: 3, 32833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 18\/13 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 535480817 and 0.\nAnswer: 535480817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 653, 995, 1353, 1733, 2141, 2583, 3065?\nAnswer: 3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 10*l**2 + l - 15. Let i = -26 - -19. Let p be c(i). What is p rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80450 + -80438. Suppose 2*w = -5*i + 75, -4*w = 4*i + 33 - 201. Calculate the lowest common multiple of p and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -1055, -3473, -8159, -15869, -27359?\nAnswer: -43385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 40655.\nAnswer: 40658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*v = -62*v. Let l(s) be the third derivative of 0 + v*s + 0*s**3 + 0*s**4 + 1\/10*s**5 + 8*s**2. Let g(o) = -2*o**2. Calculate l(g(u)).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b + -19?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239995000 rounded to the nearest one million?\nAnswer: 240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*r + 14 = 0, 0 = -4*y - r + 5*r - 12. Suppose y*f = 2 + 16. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-11)*s**(1\/23))**(2\/19) assuming s is positive.\nAnswer: s**(-458\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (66\/3)\/(22\/((-121)\/11))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50922 + 6*w**3 + 50922.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(4\/(-22))\/(14*28\/4312).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27c - 28?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22836921 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 - 2*h + 1. Let f be w(1). Factor -1\/4*s**f + 0*s + 1\/4.\nAnswer: -(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -6*t + t. Let i be (-38)\/t + (-4)\/(-14). Which is the fourth biggest value? (a) 4 (b) -1 (c) -1\/3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 163, 528, 1233, 2392, 4119?\nAnswer: 6528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -295*l**2 + 66975*l - 2287. Calculate y(227).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -24. Let c(n) be the third derivative of 1\/60*n**4 + n**2 + r + 0*n - 1\/150*n**5 + 1\/15*n**3 - 1\/300*n**6. Factor c(j).\nAnswer: -2*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 378.043923 and 0.1.\nAnswer: 378.143923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dc - -3?\nAnswer: -1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86\/7 in -29, -3\/5, -0.5, 20\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647 = 5*d - 5*c - 97, 5*d = 3*c - 544. Is d less than -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6 - 2.4. Suppose -w + 5*w - 2*d + 6 = 0, 2*w - 2*d = 0. Let j = -92 - -91. Which is the biggest value? (a) j (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1725\/7 + 246. What is the second biggest value in v, -4, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 5. Let p(j) = -8*j + 8. Let x(d) = -31*d + 29. Let h(g) = 9*p(g) - 2*x(g). Determine 2*h(b) - 7*o(b).\nAnswer: b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 125. Solve 0 = -i*f - 3 + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 7*r - 4. Let m(z) be the first derivative of -5*z**3\/3 - 35*z**2\/2 - 20*z - 3. Let l(x) = 2*m(x) - 11*t(x). What is l(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 1, v: 2, s: 1}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8697 + 3*p + 8700 + p**2 - 4*p. Let l = -4 - -6. What is the units digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 976 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + y + 1. Let u(a) = -13*a**2 - 12*a + 59. Let c(q) = -u(q) - 4*x(q). Let d be c(5). Factor 0 - 2*r + 1\/2*r**3 + 0*r**d.\nAnswer: r*(r - 2)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 91*o**3 + 11817*o**2 - 23703*o + 11846. Let x(i) = 11*i**3 + 1477*i**2 - 2963*i + 1481. Let m(s) = 2*a(s) - 17*x(s). Let m(y) = 0. Calculate y.\nAnswer: -297, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -30.395?\nAnswer: -31.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 92 + 9242*r - 187.\nAnswer: 9242*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99803?\nAnswer: 11, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(-5 + (sqrt(3) + sqrt(3)*1 + -1 - (sqrt(3) + sqrt(48)*6) - (4 + (1*sqrt(243) - sqrt(3))))).\nAnswer: 15 + 62*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.69333 + -0.7\nAnswer: 0.99333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + l + 6*l)*(0*l - l**2 + 0*l).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y + 3*y**3 - y - 6*y**2 - 2*y - 4*y**3 + 12. Let k be a(-6). Suppose -4*s + k*s + 135 = 3*f, -4*f = -5*s + 192. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 115. Let k = -75.96179 - 0.03821. Let z = k - a. What is the closest to -1\/14 in -2\/3, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 114 = -5*q + 3*f, -5*f - 71 = -3*q. Suppose -q = -2*p + 6. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-34)\/17)\/(3\/(102\/(-4))). What is the greatest common factor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54060)\/72)\/53 - -15.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g. Let p(u) = u - 2*u + 3 + g*u. Let z be p(3). Solve -4*m - 1 - 3 = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 8*h**2 - 8*h + 7. Let z be i(-7). Suppose r - z = 10. Solve 0 = 3*m + r - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(18 - 17365\/966)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkg. Give prob of sequence kkx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1206 + -346. Suppose -3*h + 5*r = -6*h + z, 3*r = 5*h - 1388. What is the highest common divisor of h and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 335*z = 339*z + 36, 0 = -4*w + 5*z + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 5*a**2 - a - 2. Calculate o(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(100\/(-6))*-5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b**5\/4 + 3*b**4\/2 + 81*b**3 - 126*b**2 - 384*b + 288 = 0. Calculate b.\nAnswer: -6, -2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*c**2 + 237*c**2 - 119*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 11*k + 522.\nAnswer: -(k - 29)*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, 1\/6, 17, 0.3, -0.5.\nAnswer: -0.5, 1\/6, 0.3, 0.43, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1463 and 4807.\nAnswer: 33649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -121*k + 123*k. Is (-7)\/((-1)\/k + (-10)\/50) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4808*w**3 + 7212*w**2 - 21636*w - 7212. Let y(d) = -d**2 + 3*d + 1. Determine -2*r(m) - 14424*y(m).\nAnswer: -9616*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 85. Let d = 36 - s. What is the remainder when ((392\/(-21))\/(-14))\/(4\/207) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95933)\/27692 - 65\/(-20)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 114\/18 + 4\/6. Let i be 8\/(-3 + v) + 2. Is (-3)\/i*-7*4 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 15 + -3 + 12 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - 1*sqrt(550) - sqrt(22))*-5)\/(-6*1*sqrt(2)*-4).\nAnswer: 25*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 9*c - 12. Let q be y(-11). Let r(h) = -31*h - 48. Let g(w) = 16*w + 25. Let s(b) = 5*g(b) + 2*r(b). What are the prime factors of s(q)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 + 4. Let o be t(-5). Solve -25 = 5*v, v = z - o*v - 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p - 3\/4*p**3 - 1\/120*p**5 - 9*p**2 + 0 - 1\/8*p**4. Find v such that i(v) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/9)\/(1\/(-3)). Suppose -18 = f*r - 7*r. Solve 2*s + r + 0 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/585 and 29\/36.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 943 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30\/17, 0.2, 5?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 4*j**3 - j**3 + (-1 + 0 - 1)*(-2*j**3 - j**3 + 2*j**3) + j**3 - 4 + 4 + 5*j**3 - 4*j**3 + j**3 + (-j + j + j)*(-3 + 3 + j**2).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-24))\/((20\/(-22))\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 522 + -210. Let m = 28 + -231. Let j = p + m. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -0.2 (c) -546\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.5 (c) 1.1 (d) -2\/3 (e) -77\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-21 + 23) - (2 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r - 660*r + 22912 = 141*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 3*i**2 - 3. Suppose 3*v = v - 24. Let n be v\/(-10)*50\/20. Suppose 6*a = n*a - 9. Let c(k) = 2*k**3 + 4*k**2 + 4. Calculate a*c(g) - 4*f(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 1255*a**3\/6 - 137*a**2\/2 - 300*a. Is l(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265933831 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1788, 2, -8, 1 in decreasing order.\nAnswer: 3, 2, 1, -8, -1788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 * 0.10164\nAnswer: -0.00193116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3437.\nAnswer: 2\/3437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.5 - 37.6. Suppose 0 = -2*v + 54 - 48. Which is the closest to -2\/9? (a) v (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:54 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, g: 4}. What is prob of sequence gccc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Let x(n) = n - 6*n + 10*n. Calculate z(x(v)).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k - 3 + 17 + k**2 + 11*k**2 + 15*k**2. What is the units digit of q(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 224. Let t = 179 - z. Solve 0 = 2*k - t*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -14) + -5 - -33\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = t - 9, 0 = 2*t + k + 15 - 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 56\/21)*31638\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 2*n**2 - 42 - 6.\nAnswer: 3*n**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*(-4)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -7 + -1 + 2. Is (-1155)\/(-6) - (-12)\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let w(a) = a**2 + 5*a + 3. Let f be w(-5). Let b(j) be the first derivative of 2*j**2 + 0*j**2 - f*j**2 + 1. Give b(g(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*v**3 + 8152*v**2\/3 - 207700*v\/3 + 130000\/3.\nAnswer: -(v - 50)**2*(81*v - 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*v + 100 = 0, 4*a + 2*v - 84 + 2 = 0. Let j = a - 22. Solve i + 4*i = j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 80.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 43*p + 2. Suppose 4*s - 49 = -5*b, 8*b - 29 = 7*b + 4*s. Let k(a) = -2*a**2 + 21*a + 1. What is b*k(u) - 6*n(u)?\nAnswer: -2*u**2 + 15*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 839352268155\/19260 + (-3)\/4. Let u = -43580097 + q. Let a = u - -38\/107. Calculate the common denominator of 75\/22 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16899993 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15441476.99721 + 15441149. Let t = v - -328. What is t rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6295268 or -6295266?\nAnswer: -6295268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/(-4*(-6)\/(-48)). Suppose -o - 3 = g*f - 4*o, -4 = -2*f - 4*o. Solve f*x = -4*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(19)*-1 - (0 + sqrt(1216))**2) + sqrt(95)\/sqrt(5)*-2*-4.\nAnswer: -1214 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 34173 - 5*d - 34165. Let j be (-2*(-2)\/(-4))\/((-6)\/(-36)). Let h(z) = -z + 7. What is j*o(t) + 7*h(t)?\nAnswer: 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:12 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287627169.\nAnswer: 3, 47, 2039909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f - 46. Let v be u(-11). Suppose -v*t - 400 = -5296. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 16*q**3 + 60*q**2 - 72*q.\nAnswer: -4*q*(q - 6)*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-6)\/(-6)*(-1700)\/400\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 7*z - 3022 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**4 + 10*i**3 + 2*i**2 - 48*i + 77?\nAnswer: -60*i**2 + 60*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10321*b**3 + 10324*b**3 - 20641*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -16 + 1. Suppose -5*v + i = -p + 1, -4*v + 16 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.773592 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*l**2 - 66*l + 31*l + 35*l in the form v*l + n*l**2 + i and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + -112?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18*y - 890. What is g(55)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1938733161 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23. Suppose -4*u + 5*x + 106 = h, 8*x + 48 = 2*u + 3*x. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in -0.3, -1.016, 4, -20\/17?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.5 - -14. Let l = j - -0.5. Which is the biggest value? (a) -0.2 (b) l (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 36 + 19. Factor 0*r**2 + 0 - 2\/3*r**4 + 0*r + 0*r**3 + 2\/3*r**t.\nAnswer: 2*r**4*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 26, 62, 118, 200?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 3*v + 880. Suppose 3*q = -4*a + 176, 10*a - 5*a - v = -5*q. Let n = 64 - a. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 18*z + 20. Suppose 4*k = 3*n + 41, 79*k + 4*n - 20 = 75*k. Determine d(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 510954927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-42))\/2 - (-54)\/(-336). What is the second smallest value in a, 0.28, -1.82?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.21, 0.4, -31, 3\/5, 0.1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5252*m + 902*m**3 - m**2 + 5248*m + 0*m**2 + 2*m**4 + 5290*m - 15740*m wrt m.\nAnswer: 48*m + 5412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/70 + 1403\/7. What is the greatest common divisor of 50 and t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhovvrvvohvvrvvovo. Give prob of sequence oorv.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 7*x - 10. Let o be t(4). Suppose -o*a + 7 = -17. Suppose 2*j - 6 = -f, 0*f + 5*j - 18 = -4*f. Solve -f*v + m + m = 6, 2*m = -4*v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586433 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 5. Let t be k(-7). Let u be (-468)\/t*(-351)\/(-6). Calculate the highest common divisor of u and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 - 6*r**3 - 1 - 10*r**3 + 13*r + 0.\nAnswer: -26*r**3 + 13*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22490069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161 - -2102\/13. Let b = 1897\/12 - 603\/4. Find the common denominator of k and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aax when three letters picked without replacement from axxxxxaxxx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8877663 to the power of 1\/2, to the nearest integer?\nAnswer: 2980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1.5, 3, -6, 0.2, 11\/7 in decreasing order.\nAnswer: 3, 11\/7, 1.5, 0.2, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 51 = -3*p, 0 = 2*c - 3*p + 4*p - 127. Suppose -3*n + 2*s + c = 0, -n + s = -2*s - 29. What is the highest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 230. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(3\/5))\/q*q\/(q*q*q**(-1)*q)*(q**(2\/3)*q)\/(q\/(q\/q**4)))**(-9) assuming q is positive.\nAnswer: q**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85\/111, 0.2, -0.03.\nAnswer: -85\/111, -0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1300) - sqrt(1300)*-1) + 1 - (4 + 1*sqrt(1300)))*4)**2.\nAnswer: -2880*sqrt(13) + 62832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -1273422?\nAnswer: 1273420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/6)\/(35*8\/56).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2. Let j be (10\/8)\/(10\/40). Suppose x = -j, -4*r - 5*x = 8 + 9. Let s(i) = i - i**r - i. What is s(a(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m + 264. Let a = 62 - m. What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 0, -2*c - m = -6*c + 1. Suppose -44*o + 47*o - 12 = c. Solve -3*l = 2*q + 3, 4*l + o = -4*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) - (0 + (-2767)\/7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59173651 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1813, 1934, 2055, 2176, 2297, 2418?\nAnswer: 2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**2 - 163479*p + 22014990 = 0.\nAnswer: 135, 54358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/8)\/(2\/2). Suppose 0*p + a = p. What is the remainder when 110 is divided by ((-448)\/(-40))\/(2\/p)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)\/g)**(-14)*g**(1\/5)*g*g**(-4\/9) assuming g is positive.\nAnswer: g**(8224\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(40)*-1 + sqrt(40))*2)\/(sqrt(8) - sqrt(800)*-1) + -3 + sqrt(60)\/(sqrt(192)*1 - sqrt(12))).\nAnswer: -9 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-497)\/49 + 3 + 7. What is the nearest to -0.1 in 1, 0.78, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/20 - q**4\/4 - q**3\/2 - 4*q**2 + 18*q. Suppose o(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8190 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21059261?\nAnswer: 31, 317, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9798 take away -13.7845?\nAnswer: 18.7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (13 - 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039136l in millilitres?\nAnswer: 39.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 562.3 + -562.5. Let i = -19\/66 + 5\/11. Which is the closest to g? (a) -3 (b) i (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5683 divided by -7884.\nAnswer: -5683\/7884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -451, 13.5, -0.2, -0.4, -0.3?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkqkkkkkkkkkkkkk. Give prob of picking 4 k.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f205 + -5?\nAnswer: 7f200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2 + 102833404*z + 2643677244556804 = 0.\nAnswer: -51416702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-327)\/117 + (-2832)\/(-6136).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*y**3 + 3*y**2 - 1009*y.\nAnswer: -1110*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-5) - 1*-5. Suppose -o*z = z. Solve z = -i + 4*p, -i + 3*p + 4 = 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 - 112*n**2\/3 - 941*n\/3 - 1442\/3.\nAnswer: -(n + 2)*(n + 7)*(n + 103)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 509 - 308. Suppose -8*w - u = -729. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39607*g**3*i**2 - 337786*g**3 wrt i.\nAnswer: -79214*g**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55406396 + 1?\nAnswer: 55406397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*f - 2392, 2*q = -5*f + 416 + 564. What is the remainder when q is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.158, -1\/2, 7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 582\/53 - 17569\/1431. Calculate the common denominator of -19\/15 and r.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439933.01959 + 1?\nAnswer: 4439934.01959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-92 + 2)) + 30 + -15 + (-6 - 15)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p**2. Suppose -22 + 98 = 2*o. Let y = -30 + o. Suppose -y = -3*h + 4. Let n(q) = -5*q**3 + 2*q**2 + q. Determine h*z(s) - n(s).\nAnswer: s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Let n(z) = -2*z + 7. Let i(x) = -x. Let g(k) = b*n(k) + i(k). What is the derivative of g(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -9*w + 43*w. Is w < 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*j = -136564 + 13514. Calculate the greatest common divisor of 300 and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165523.5087 + 165534. Let b = -0.1213 + a. Let x = 10.9 - b. Round x to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -12.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29079 - -96904912\nAnswer: 96875833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -24*p**2 - 18*p + 12. Let u(l) = l**2 + l. Let y(f) = d(f) + 5*u(f). Let n(s) = -20*s**2 - 15*s + 14. Let b(k) = 6*n(k) - 7*y(k). What is b(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820 divided by -44068?\nAnswer: -455\/11017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 1.15 (c) 8\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.1. Let a = -33 - -32.9. Sort -0.5, q, a in decreasing order.\nAnswer: q, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12220000211110 (base 3) in base 5?\nAnswer: 1300131303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13171637.442 and 6.\nAnswer: -13171631.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.007? (a) -4 (b) 113\/7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 - 5*d + d + 21*d**3 + d as k + g*d + t*d**3 + i*d**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-2 - 32\/(-12)). Suppose 5*x + v = 54. Suppose -i - 2*k + x = 2*k, -14 = -4*i - 3*k. Solve 4*n - 12 = i*d, n - 4*d + 1 = -3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-7))\/o)\/o**4*o*o*o*o*o**(-5)\/o*o*o*o*o\/((o*o\/(o\/((o*o**(-5)*o)\/o)*o))\/o))**(-3\/35) assuming o is positive.\nAnswer: o**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -13) + -67 + 59.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 2, c: 1, z: 1, u: 1, f: 2}. Give prob of picking 1 z and 2 t.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158985 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0094*-0.5\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64537 - 64567.881. Let d = -0.119 + p. Let h = d + 30.99668. What is h rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 4. Let c be y(0). Suppose -13 = -b - b + 5*w, -4*b + c*w = -32. Solve 0*i - 2 = -2*i, -3*p = 3*i + b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*o + 3*o. Let s(n) be the second derivative of n**5\/20 - n**4\/3 + n**3\/6 - n**2\/2 + 23*n + 4. Calculate s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:49 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-294)\/490*(-4)\/(-6) + 26216\/290.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 107, -38\/5, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11 - -3) + 1)*(71 + 3592\/(-56)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10)*5\/(-1). Suppose 0 = 3*j - j + 4. Let x be (-2)\/(j\/3) + -3. Solve x = -0*p - h*p + 3*f - 4, -2*p + f - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.8771m to micrometers.\nAnswer: 89877100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160113 + -27859583\/174. Find the common denominator of y and 37\/36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10574692 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49882394831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19414 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -399 + -6?\nAnswer: -3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 106576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 26*v**3 - v**2 - v + 2. Suppose -2 = -2*w + w. Suppose -4*m = -w*r - 10, -4*m + 21 = -5*r + 2. What is the units digit of l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 1:34 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 + 1. Let z be f(-7). Let d be z + 1 + -3 + 1. Solve d = -6*k + k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6\/5 - 8\/5*h + 2\/5*h**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 5*w**2 + 2*w + 12. Let r be o(-5). Sort 3, r, 1, 5 in ascending order.\nAnswer: 1, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from brywyrbhbyyrryyyh.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.0041911, 0.5, -1\/5, 1\/9, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:50 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/5 and 3\/36*-7*23\/14.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*g - 3, v - 18 + 37 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 1. Let w(b) = b**2 - b + 298. Calculate -w(s) + x(s).\nAnswer: -s**2 - 2*s - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -54.13 at least 29185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 9*v + 11. Let y be h(-10). Let p = -0.2 + 1.2. Let o be ((-2)\/(-55))\/(1\/5). What is the nearest to p in -0.5, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - 30\/5 - 4321. Let q = w + 9547. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from {z: 6, j: 10, r: 4}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2436*o - o**4 + 0 + 2434*o + 2*o**3 + 0 - 6*o**2 to s*o**4 + i*o + r*o**2 + y*o**3 + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -5, 3\/5, 86, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1 + -1)\/(-2). Suppose -3064*y - 3*z = -3069*y + 62, -12 = 3*z. Solve a*d + 5*d - y = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 2*h - 4, -26 + 2 = -3*n - 3*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z - 5 - 1 = -28*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/7 - 14670*n\/7 - 5861967\/7 = 0.\nAnswer: -4451, -439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 0, -1, 1049, -1442?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**5 + 4*l**5 - 4*l**5)*(-110 - 191 - 40)*(-1 - 3 + 6).\nAnswer: 2046*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-12 - -12 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.5 (c) 2.1 (d) 220460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + 109. Calculate the highest common factor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3950 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96 + 13 + 32*g - 31*g - 5*g + 2*g + 2*g + (-1 + 2 + 1)*(g + 2*g - 4*g).\nAnswer: -2*g + 109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**2 + 75*q + 25. Let x be l(11). Solve 0 = 20*t - x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from ouslk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5014\/7 + -713. Calculate the common denominator of n and 16\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 + 4)*(-4)\/3. Suppose -z = c - 45. Suppose f = 4*w + c, 112 = 5*f - 3*w + 32. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 - 2*x - 2. Let i(k) = 13*k**3 + 7*k + 7. Let u be (-51)\/24 - 7\/(-56). Give u*i(g) - 7*p(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -179.2637\nAnswer: -6274.2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -114498943, -114498942, -114498941?\n\"Answer: i - 114498944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7 - 4*x**3 - 4017*x**2 + 4002*x**2 + 9 + 5*x. Let g(m) = 3*m**3 + 10*m**2 - 3*m - 11. Let d(l) = 7*g(l) + 5*u(l). What is d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148 - 167\/((-9018)\/3240)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let n be h(10). Let p = 8 - n. Calculate the common denominator of 18\/11 and (32\/(-14) - p)*10.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - -5 - (-84)\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 42*r = -317. List the prime factors of r.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)**46\/(w**(3\/5)*w**(1\/2)) assuming w is positive.\nAnswer: w**(909\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680883.\nAnswer: 3, 7, 32423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-12)\/t)**(-1\/44))**(14\/5) assuming t is positive.\nAnswer: t**(91\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c - 2*c + c. Let x(n) be the third derivative of 23*n**4\/12 + 5*n**2 + n. Give k(x(g)).\nAnswer: -46*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 29. What is the biggest value in w, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 11. Let s be n(-8). Does 25 divide (0 - s)*(22 - (-6 + 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 0, -3, 301 in descending order.\nAnswer: 301, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8535023 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 - -410. Suppose i - 210 = 3*o. Which is smaller: 2\/5 or o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*h**3 + 5624*h**3 + 23 - h**2 - 23.\nAnswer: 4458*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3003 (base 4) in base 7?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79799715?\nAnswer: 3, 5, 19, 53, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4626904 - 3.\nAnswer: -4.4626904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -831*r + 831*r + 19*r**2 to the form v*r**2 + h*r + n and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:26 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29300 and 14.\nAnswer: 205100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 + 0*o**4 + 4*o**4 + o**2 - 2*o - 2 + 3 to the form d*o**3 + s*o**2 + p*o**4 + q + w*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130887 is divided by 1031.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18084, -34047, -50010, -65973?\nAnswer: -81936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8462619 (base 10) to base 16.\nAnswer: 81211b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - -67 - (2 - -16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*b - 4. Suppose -4*w = 3*h + h - 140, w = 3*h - 121. Let p be ((-13)\/h)\/(46\/18). Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258905.\nAnswer: 5, 53, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1347 in -1, 3, 2, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.42 (b) 10\/27 (c) 2 (d) -14 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 - -241\/2. Sort 1, 2\/5, n, -1\/13 in ascending order.\nAnswer: n, -1\/13, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786037 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: Express -111 + 156*b - 55*b + 111 in the form x + q*b and give q.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:41 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/88 + 10965\/495 - 15\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Let r be f(4). Let b be (1\/r + 0)*2. Let u = b + 6. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u - 40. What are the prime factors of c(-12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 - 58 = -3*y. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 51b?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.193 * -0.03549\nAnswer: -0.00684957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 2*y - 2. Let c be h(-2). Suppose 12*r - 13*r + c = 0. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, 3332 in descending order.\nAnswer: 3332, 23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 + -0.9. Let u = p - -6.9. Is -5\/4 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*5\/75*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = 4*v + 3, 0 = 4*d + v - 2. Suppose 2*y - 2*g = 0, y + 2*y + 2*g - 20 = d. Let b = 4 - 2. Solve 2 + b = -4*i, -y*t - 3 = 3*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + 0*n)*(0 - 4 + 5)*(128 - 128 - 13*n).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 2*g - 12*g. Solve -2*l - 3*s - 16 = 0, s = 2*l - 4*s - g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**2 - 131. Let k(w) = w**2 + 83. Calculate k(z(g)).\nAnswer: 4*g**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -114213 (base 7) to base 15\nAnswer: -61e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -194709.05.\nAnswer: -194708.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -11*y**5\/5 + y + 10. Differentiate q(n) with respect to n.\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -918593308, -1837186617, -2755779928, -3674373241, -4592966556?\n\"Answer: -m**2 - 918593306*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Suppose 5*k = 13 - 3. Suppose -g - 4*g = -k*g. Give t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 1, p: 2, l: 1, z: 4}. Give prob of sequence lzzm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 833 - 509. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 472 + -210. Let z = -173 + q. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63935 by -95.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 10:41 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2020.978914 - -2021. What is q rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dad when three letters picked without replacement from {d: 2, b: 13, a: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**2 - 12. Let q(n) = 43*n + 1. Determine r(q(h)).\nAnswer: 86*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*u*x + 22*h*u + 3*h*x**3 + 8*h + 4*u*x**2 - u*x - 590*x**3 + 4*x with respect to h.\nAnswer: 3*u*x + 22*u + 3*x**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 39 - 29)*(-8 + 6*m + 8).\nAnswer: -360*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -60. Let f = -359\/6 - x. Let a be 2\/4 + 3\/(-2). Are a and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 359 - 358. Let l be (-1 - d)*(9 + -1 - 9). Let s(k) be the first derivative of k**4\/4 - k**3\/3 - k**2 + k + 1. Calculate s(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*g = -g + 6, 2 = 5*x + 2*g. Let w = 206 + -129. Suppose x*h - w = -29. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/2337*(-17594)\/(-25928)\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5616?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 3*h**5 - h**5 + (0 + 1 + 0)*(-5*h**5 - h**5 + 5*h**5) - 111*h + 111*h - 12*h**5 + 0*h**3 - h**5 + 0*h**3 + 2*h**5 - 4*h**5 + 4*h**5.\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1578 and 63\/10.\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3572620 is divided by 988?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/11)\/(p**(-6)\/p))**(-12) assuming p is positive.\nAnswer: p**(-912\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(1\/2))\/q)**35*q**(-2\/21)\/(q\/q**(-6)*q*q))**(14\/5) assuming q is positive.\nAnswer: q**(353\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsqlzqolo. Give prob of picking 1 z and 2 q.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = -13*k + 5*k. Let q = 88 + k. What is the highest common factor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -105 in increasing order.\nAnswer: -105, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27)\/18*4\/6*-41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 2728 = 24*v. Let a = v + -272. List the prime factors of a.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 14*n**3\/3 + 3*n**2 + 111*n. Let i = -6 + 8. What are the prime factors of f(i)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -0.4 (c) -0.01 (d) -4 (e) -35\/4 (f) 2.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 687234 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -21 - (0 - (-1 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:22 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 802 or 39287\/49?\nAnswer: 802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 18 + 13)*(6*f + 26*f - 2 + 41*f).\nAnswer: 2263*f - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.4411829 - -24.44. Round h to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*p + 1 + 14, -4*h - 5*p + 25 = 0. Suppose -2 = 551*g - 567*g - 2. Let l be (2 + -4)\/(3\/(-15)). Solve g*q = -h*q - l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/5 and -17\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 15*r**2 + 14*r + 19. Suppose 33*s = 31*s + 1520. Let c be s\/56 - 6\/(-14). What is the remainder when 33 is divided by f(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 13*i**2 - 23*i + 8. Let u be h(-14). Suppose -v = y + u - 1106, 3*y = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -75 (c) 10 (d) -1\/4 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 737)*(0 - 1)*-1. Let b = u - -796. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3591, 6610, 9629, 12648, 15667?\n\"Answer: 3019*y + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 2. Let v = -5 - -9. Suppose 4*c + v = -0*c, -a = c - o. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/6*60\/(-7). Solve -h = -12*j + 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -4, -5, -2 in descending order.\nAnswer: 2, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156*a - 350*a + 34*a)*(-46 - 46 + 95) to the form g + y*a and give y.\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/6420 and -101\/6420.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101870 divided by -10.\nAnswer: -10187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 4. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336111 to the power of 1\/2, to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*r - 128*r + 85*r + 54 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 14719491\nAnswer: 58877964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + r - 1. Let v(t) = 4*t**3 + 6*t**2 - 6*t + 5. Let g(k) = 2*k - 6. Let h be g(6). Let i(y) = h*x(y) + v(y). Differentiate i(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 67 + 67 = 2*p, 0 = -4*p - 3*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 20, 4*y - 3*s - 2*s = 4*y + 4*y - 0*s + 137 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -101591 and 920797.\nAnswer: 819206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210161.\nAnswer: 17, 188833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**2 + 5*k - 5*k + (-2 - 5 + 5)*(20*k - 20*k + 6*k**2).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*s - 25. Let z = 89 - s. Suppose 0 = -h - 3*h + z. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-15)\/2) + 10\/(-50).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507 and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 9, 50, 125, 246?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 143 + 32*t**2 - 151 + 5*t - 6*t + 445.\nAnswer: 32*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19*r*r)\/(r*r\/(r*r**17*r)) assuming r is positive.\nAnswer: r**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**3*s*u + 2625*q**3*s + 10*q**3 + 3*q*s*u**2 + 1570*q*s*u wrt u?\nAnswer: 2*q**3*s + 6*q*s*u + 1570*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 998 - -10e8?\nAnswer: 1a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/4*u**3 + 6721\/4*u + 280 + 5043\/2*u**2 = 0.\nAnswer: -1120, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 457873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnc when three letters picked without replacement from {d: 1, n: 3, c: 3, u: 1, l: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*d - 538, 3*j - 3*d = -j + 709. Let x = -175 + j. Solve -g - 15 = -2*b, g = -x*g + 4*b - 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122 - -43) + -7 + 92.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003608602 to 6 decimal places.\nAnswer: 0.003609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104435.5329 - 0.24.\nAnswer: -104435.7729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -148.3 (b) 1\/38 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 958.34 - 979. Let i = d - -0.66. Let w = 21 + i. Which is the closest to -1? (a) 4\/9 (b) 17 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/60 - 5*j**4\/24 - 2*j**3\/3 + 3*j**2. Determine m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 9*g + 8. Let l be u(-8). Let k be (-1 - 1\/(-2))*l. Suppose k = -4*o - 5*w + 4, 5*w = -4*o - o + 10. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.1 - 71.7. Let s = l + 34. Let h = s - 1.392. Round h to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c + -8?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2 + 156?\nAnswer: 174.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 2. Determine w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 2:19 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 96*b**2 + 1055*b + 535. Calculate d(106).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -25)*20\/(-25). Suppose -2*k + 56 + x = 0. Find the common denominator of (k\/(-21))\/((-8)\/(-36)) and 51\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2.5 (c) -1595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(-9)\/((-27)\/4). Suppose 0*s + 4*s = 72. Suppose -f*r + 6 = -s*r. Let v(b) = -b**2 - 5*b + 5. Let l(u) = -3*u + 3. Determine r*v(x) + 5*l(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 5*j**2 - 7*j + 9. Let u be i(6). Suppose 141 = 2*y - u. Suppose l + l = y. Round l to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 + 2621*p**4 - 34213*p**3 + 76519*p**2 + 350028*p - 774396 = 0. What is p?\nAnswer: -2634, -3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t + 24. Let a be w(8). Let b be (a - -36) + (0 + 1 - 1). Solve 2*h - 3*h = -b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:42 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 2*p**2 + 5*p - 11 + 15. Suppose f = 2*w - 0*w + 5, -w - 6 = -4*f. Let k be f\/(100\/15 - 7). What is l(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0, 3\/232, -188\/9?\nAnswer: -188\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z**3 + 6*z**2 - 7*z. Let y(c) = -9*c**3 + 4*c**2 - 5*c. Determine -5*m(j) + 8*y(j).\nAnswer: -2*j**3 + 2*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*g + 0 + 9\/2*g**2 + 3*g**3 = 0. Calculate g.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 2*g**2 + 8*g + 3. Let f be l(-2). Factor -z**3 - 3*z**4 - 349*z**2 - 3*z**5 + 364*z**2 + 10*z**f + 0*z**3 + 6*z.\nAnswer: -3*z*(z - 2)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/49 + j**6\/21 - 106*j. Let i(o) = 0. What is o?\nAnswer: 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 9\/1102 (b) -3\/4 (c) -0.0013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(1\/9)*(c*(c\/(c*c**(-2\/7)))\/c*c)**(3\/20) assuming c is positive.\nAnswer: c**(187\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 459*g - 73008. Calculate o(159).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (0 + sqrt(75)))**2 + 1 + 5 + (sqrt(75) - (sqrt(75) + 0) - sqrt(75)) - (((sqrt(432) - sqrt(432)*-1) + sqrt(432) + -2)**2 + sqrt(432) + 2).\nAnswer: -3888 + 127*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -164641 divided by 1\nAnswer: -164641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 177712 not equal to 177715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.158 + -1.17553. Round o to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrvzkzkklzzck. What is prob of picking 1 c and 1 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let k(c) = 62*c**2 - 8*c + 482. Determine k(r(y)).\nAnswer: 62*y**4 - 8*y**2 + 482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s + 0*s**2 + 0*s**3 - 5\/2*s**4 - 9. Find the first derivative of j(a) wrt a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((0 - -1)\/1). Suppose 2*l = l + g. Suppose 0 = -2*j - 2*o + 156006, -l*o - 296119 = -5*j + 93866. Round j to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 3, r: 1, u: 7, n: 2, x: 3}. What is prob of picking 1 r and 1 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4 + -0.4. Let r = b + -3. What is the biggest value in 0.2, -2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from jjsjjsujuuujuuuuuj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-3)\/(-3) - 27. Let p = -8 - r. Suppose 31*s - 94*s + 441 = 0. Calculate the remainder when p is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6773 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/11 (b) -5 (c) 97 (d) -1 (e) -0.9 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -46 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let y = 5.692 - 3.692. What is the nearest to f in 2\/7, y, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-441))\/((-1)\/(-6))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13999957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 + 50*v**2 - 24*v + 31. Let y be s(-13). Solve -6*n + y*n = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 489684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5610667909 - -0.044.\nAnswer: 5610667909.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -55, -89, -125, -163?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 10, 0.5, 0.316702?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1.9425?\nAnswer: 5.8275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 836, 826, 814, 800, 784, 766, 746?\n\"Answer: -m**2 - 7*m + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-9)\/(y*y\/(y*y**(-1\/8))*y*y*y\/y**(-5)) assuming y is positive.\nAnswer: y**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(20)\/(sqrt(4)*2).\nAnswer: -5 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 60 = 4*z, 22 = -4*d - 3*z + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from axcacnxnxx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 105, -0.4 in ascending order.\nAnswer: -79, -0.4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.79034nm in centimeters?\nAnswer: 0.000000579034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 3*s**2 + s**2)*(4*s - s - 2*s) + 3*s**3 + s**2 - s**2 + 2 - 1427*s + 1427*s + 127*s**3 - s**3 + 0*s + 0*s.\nAnswer: 127*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -175\/87 - 19\/29. Which is the second biggest value? (a) -1 (b) -0.1 (c) k (d) -14 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 924 and 30?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1521091814 - -0.4.\nAnswer: -1521091813.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-14) + -14 + (-2034)\/(-126). Let p be (0 - 2 - -1) + -4. Sort p, 4, r.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2309, 7319, 15547, 26993, 41657?\n\"Answer: 1609*q**2 + 183*q + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/15 - 125*z**4\/3 + 502*z**3\/3 + 1382*z**2. Factor c(a).\nAnswer: -4*(a - 1)*(a + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1701 - 1929. Sort 4, r, 2 in decreasing order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 5*o - 84, 3*d = -4*o - 94. Do d and -26 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680285 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 - 2*s**3 + 2*s + 7*s**4 + 1 - 2*s to the form a*s + h*s**3 + g*s**2 + v*s**4 + i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 21*j**2 + 20*j - 19. What is v(-20)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (206\/10)\/(0 - (-1)\/5). Let q = g - 100. Solve k - z = q*k - 4, 3*k = 3*z - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190622387.\nAnswer: 190622387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*-4*(sqrt(128)*2 + -2)*-1)**2.\nAnswer: -36864*sqrt(2) + 297211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 10*z - 21. Solve -3*h + z = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*-28.\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/((-384)\/640*95\/(-38))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72855604 or 72855598?\nAnswer: 72855604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 5 + 2)*(2*x + 0 + 0)*(3 + 3 - 3).\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 130, 3, -146, 0 in decreasing order.\nAnswer: 130, 6, 3, 0, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108443988209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -16. Calculate the remainder when ((-2)\/(-3))\/(7\/231) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208224)\/(-296912))\/(6*(-2)\/(-44)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 98, 115, 132?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f - 4. Let p be m(19). Let b = p + 137. Let h be -3*((-60)\/(-9) - -2). Sort 1, -5, h, b in increasing order.\nAnswer: h, -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-21)*126\/468.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/14 - (-4)\/(-14). Suppose l*w = -w + 8. Suppose x - w - 2 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -1583\/17. Which is the smallest value? (a) s (b) -1\/10 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 8*y**2 - 6*y + 10. Let m be j(-7). Suppose f = -m*f. Suppose -2*k - 2*k + 116 = f. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27768 - -57890. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Let m = -9 + t. Let v = -7.99999964 - m. Round v to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 e, and 1 n when three letters picked without replacement from {h: 1, n: 2, q: 1, i: 1, e: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -8. Let j be (-6)\/g*(-104)\/6. Suppose -6 + j = 5*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14234 divided by -22?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(0 + 2 + 2)*(-8*p + 36 - 36) + (-1 + 3 - 3)*(5*p - 3*p - p) to j + u*p and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398 a factor of 71265076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - 2*y**3 + 0*y**3)*(41*y - 28*y + 2 - 19*y) - 48*y**4 - 9*y**4 - 42*y**4 + (-y + 2 - 2)*(-3*y**3 + 5*y**3 - y**3) + 2*y**4 - 3*y**4 + 3*y**4.\nAnswer: -110*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - f - 7*f)*(50*f**2 - 5*f**2 + 3*f**2) in the form n*f + c*f**2 + u*f**3 + p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 100\/156377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 i when four letters picked without replacement from {i: 3, t: 3, k: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6957 - 6918.0125. Let y = n + -39. Round y to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90002, 90017, 90036, 90059, 90086?\nAnswer: 90117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4744265.8 to the nearest 1000.\nAnswer: -4744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/5 + 3*r**4 + 153*r**3\/5 - 3*r**2 - 30*r = 0 for r.\nAnswer: -5, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3\/3 + 11*r**2\/2 - 14*r + 14. Differentiate m(z) with respect to z.\nAnswer: -2*z + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 30*k**2 + 25*k**2 + 4*k + 335 + 27*k**2 - 85*k**2 to the form v*k**2 + u + w*k and give u.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17258 is divided by 1226?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.16, 4\/5, -1, 0.023.\nAnswer: -1, 0.023, 0.1, 0.16, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 69 = 20*u - 29*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*d = -78*d + 1. Put -3, 3, d, -5 in descending order.\nAnswer: 3, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + 111101101001?\nAnswer: 111110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by -126138?\nAnswer: -127\/126138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 292*g - 1. Let y be n(1). Let z be (-1 + -2)*y\/(-9). Let q = z + -40. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 19*c**2. Let d(y) = y**2 - 16*y**2 + y**2 + 18*y**2. Calculate z(d(b)).\nAnswer: 304*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.75574 times 30\nAnswer: 52.6722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105\/63*(-9)\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*(-60)\/48.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 0. Suppose -2*b - 98 = -5*s - l*s, -s = 4*b - 24. What is the remainder when s is divided by 71\/10 - 11\/110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/126)\/(12\/(-9)). Let p = 8 - 8.2. Let a = p - -3.2. What is the smallest value in a, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/120 - p**5\/30 - 7*p**4\/24 - p**3\/3 + p**2 + 3*p + 376. Calculate q(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1827 and 1097505?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-168)*-7*24\/14. Which is the nearest to 5? (a) 5 (b) -3\/10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109 - 1110 + 247*b**2 - 1069 + 3288.\nAnswer: 247*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 4\/6. Let m = 0 - 0. Let l be (-204)\/(-144) + ((-16)\/(-6))\/(-4). Put l, m, v in descending order.\nAnswer: v, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + -3 - (sqrt(152)\/sqrt(4))\/sqrt(2) - (-1*sqrt(19) + -5 + -5))**2.\nAnswer: 14*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.08, -1, 4, 1\/4, -5, 7, 3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*o - 5700 = -85*o - 39*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 (base 10) in base 8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s + 0 - 2\/9*s**3 - 80\/9*s**2.\nAnswer: -2*s**2*(s + 40)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540537?\nAnswer: 3, 180179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13 (b) -527 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b67 (base 16) to base 5\nAnswer: 43134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -4*w**2 - 3*w - 116. Calculate f(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.61987 + 4.61. Let r = -0.11 - -0.1. Let j = l - r. Round j to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 9*u + 16. Suppose u*j - 1272 = -5*d, 3*d - d = -j + 510. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + -11001?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*(t*t\/(t\/(t*t**7*t*t)))\/t)**(12\/13))**18 assuming t is positive.\nAnswer: t**(3024\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lulluuuuljuluululull. What is prob of picking 3 u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, g: 2, k: 2}. What is prob of picking 3 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqoqlqlll. Give prob of picking 3 q and 1 o.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1299)\/(-109116))\/(2\/(-24)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640300 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: Expand (2*h**5 + 3*h**5 - 8*h**5)*(1 - 1 - 2)*(1 + 0 + 3).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2667 and 4011?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vvugi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1006.9342 to zero dps.\nAnswer: -1007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 1983*i - 2*i**2 - 1 - 1979*i. Let x be (15\/10)\/((-3)\/(-4)). Let w be (x + -4)\/((-4)\/(-10)). What is p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 24*t - 14. Suppose -2*o = 12 - 56. Suppose -o = -3*b - 7. Solve t = b*u + 6 + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 - 1372*i - 1371 = 0.\nAnswer: -1371, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -18.5 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100212 - 20100101102?\nAnswer: -20100000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 1364 = 412. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 11*c**2 + 12*c - 14. Let x be g(10). Suppose x*b + 25593520 = -60806480. What is b rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -26, -32, -34, -32?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384*g**3 + 1 + 149*g**2 + 84*g + 1153*g**3 - 84*g wrt g.\nAnswer: 4614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128566 + 899964\/7. Find p such that 2\/7*p**2 - 4\/7*p + g*p**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124952\/5 - 25090. Let q = -100 - k. Is q > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 243 = 681. Let k be a\/(-55) - 2\/5. Solve 25 = 5*r - 4*d, 2*r + 3*d = -k*d - 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31909016 divided by -7977254.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077015680 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -131 - (-2 + (-2 - -8)). What is the tens digit of (j + -1)\/(-4) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 5 = -7*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 76 = 2*c. Let s = 30 + c. List the prime factors of (-2)\/s + 1880\/32.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 7*j**2 - 8*j - 7. Let t(p) = -p**2 - 13*p - 6. Let q be t(-13). What is the units digit of g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -485 - -481. Suppose z - b = -8, 2*z = -0*b + 5*b - 10. Let i = z - -17. Sort i, 5, t, 4 in descending order.\nAnswer: i, 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 3. Let u be c(-3). Let f be ((-9)\/(-6))\/(u\/(-40)). Suppose -f*z = -81 + 16. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, a: 2, n: 1}. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17448 (base 10) to base 14\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x. Let i(y) = 275*y. Let a(g) = 2*i(g) - 33*z(g). Let v(m) = 10*m. What is -4*a(n) - 5*v(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/680 and -13\/45560?\nAnswer: 45560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2. Let s(t) = t**2 - 12*t + 4. Let w be s(7). Let d be w\/(-4) - (-11)\/44. Let f(x) = 8*x + d*x - 17*x. Determine f(r(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2 - 3*j**3 + 2*j + 3 + 3*j**2 + 0*j + 4*j**3. Give i(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 4. Let t be 4\/(-6) - (-4)\/6. What is the units digit of f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.6*-0.61.\nAnswer: -19.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 401104*x. Let g(d) = -1166*d. Give -1378*g(z) - 4*q(z).\nAnswer: 2332*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n - 265 = 445. Which is smaller: n or 15.6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -1 + (1 - -7) + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 5. Let x(s) = 7*s - 16. What is 6*n(y) + x(y)?\nAnswer: 13*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9812615nm?\nAnswer: 0.0009812615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 67. Let t be ((-24)\/(-20))\/((-4)\/d). Is (-3 - (-50)\/t)*1011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - (-176)\/(-6))\/(8\/(-276)) + -6. Solve 1192*g - j*g - 84 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -18*p - 122. Let w(c) = 3*c - 3. What is -b(z) - 5*w(z)?\nAnswer: 3*z + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 4:49 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 0.15. Let c be -13 - -12 - 38\/2. Let h be 71\/110 - (6\/c)\/(-3). Sort 2\/5, h, y in decreasing order.\nAnswer: h, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2466250041 - m**2 - 2466250041.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -0.06, 5, 4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1054873, -1054883, -1054901, -1054927, -1054961, -1055003, -1055053?\n\"Answer: -4*k**2 + 2*k - 1054871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 7:51 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = z + 5*b, -75*z + b - 15 = -70*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 6:56 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + n**2 - 4*n. Let z(t) = -9*t**3 - 3*t**2 + 12*t. Calculate 8*c(d) + 3*z(d).\nAnswer: -3*d**3 - d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178059 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0 + 0*k**3 - 25\/6*k**4 - 53*k - 1\/5*k**5 - 71\/2*k**2. What is the first derivative of d(f) wrt f?\nAnswer: -12*f**2 - 100*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Let m be 10\/k + 3\/(-9). Suppose m*a = -c + 2, -c - 3*c = -2*a - 50. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/20 + n**4\/4 + n**3 + 2*n. Let m be o(5). Is (-623)\/(-9) + m\/90 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2812 and 1928.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + 2. Suppose 27*c + 90 = 306. Let u(r) = 31*r**2 - r + 1. Let x be u(1). Solve 7*i = -3*v + t*i + x, -v = -2*i + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -24.6. Let t = i + -33.6. Let a = t + 28.00189. Round a to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 59*i**3 + 115 - 68 + 14*i**3.\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 40. Sort f, 3\/5, 5, -4.\nAnswer: -4, f, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than 4667311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 66158055.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*x + 559 = 185, 5*l = -2*x + 970. Let n = 274 - l. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(117)*2 + 1 - ((1*sqrt(65))\/sqrt(5) + sqrt(260)\/sqrt(5) + 1))**2*3.\nAnswer: 28431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.860299um to millimeters.\nAnswer: 0.009860299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuubllllul. What is prob of picking 2 l, 1 u, and 1 b?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f**2 + 0*f + 5 - 2*f**2 - 5 + (3*f - f + 0*f)*(1 - 1 + 2*f))*(-5*f**2 + 6*f**2 + 7*f**2).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 118 = 7. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(245)*-2*1*-5.\nAnswer: 1 + 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 + -4 - (-5 + sqrt(45)) - (1 + sqrt(5) + sqrt(15)\/sqrt(3) + -5))**2.\nAnswer: -32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.019\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12879\/(-2862))\/(18\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 212 + 352 = 0. Suppose 0 = 5*k - 3*k + m. Let x = k + 53. Calculate the lowest common multiple of x and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*z + 926 = 2*l, 4*l - 1844 = 2*z. Find the common denominator of 4 and l\/(-60) + 1\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:10 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 4*j + 2. Let q be g(-2). Let t be 189\/35 - (-5)\/(25\/q). Solve 0 = -4*l - t*i - 10, -i - 2 = 5*l - 0*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -220, -1\/12, -1, 11, -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -494.9 + 495. Which is bigger: 0.0976 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -19) + 28 - (55 + -13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**3 + 2*g**2 - 3*g - 4. Let h(p) = p**2 + p**3 - 79 + 79. Let f(t) = 6*h(t) - x(t). Give f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -124\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, s: 1}. What is prob of picking 1 s and 3 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u = -i - 42*u - 17, -2*u + 8 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 157.16. Let m = t - 0.84. Sort -2, m, 2\/11, 2\/3.\nAnswer: -2, 2\/11, 2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 7*b - 6. Let u be j(-5). Let v = -1 - u. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1 + 0)\/(-1). Suppose -4*n = 2*m - 6*m - 52, y = -m - 4*n + 12. What is the units digit of (-2)\/6*(-4 + m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 185*r - 5564. What is the least common multiple of 240 and c(-28)?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6 + 8\/(-8) + 3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/4 + g**3\/6 - 12*g. Let r be i(-1). Let -21*o**3 + 55*o**3 - 16*o**3 - 16*o**3 - r*o**2 = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/(-18))\/(-11))\/(1176\/(-1008))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 26*y + 100*y - 1723. What is the smallest common multiple of y and 12952?\nAnswer: 116568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q + 3*q - 8*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -74*t**4 - 6*t**3 + 5*t**2 - 35*t + 18. Let x(q) = q**2 - 2*q + 5. Let f(j) = -l(j) + 4*x(j). What is the second derivative of f(p) wrt p?\nAnswer: 888*p**2 + 36*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 - 41. Let j = i - 684\/7. Which is greater: 0.9 or j?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -0.043?\nAnswer: -0.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 4*v - 4. Let d be m(3). Determine n so that n**2 - 2*n**5 - 4*n + 2*n**4 - 2*n**d - n**2 - 4*n**3 + 10*n**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3707 + 36977\/10. Find the common denominator of 1 + (-530)\/(-24)*24\/(-160) and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*-3*1\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y = 71*y - 4. Let u(g) = 4*g**2 - 6*g. Let o(v) = v**2 - 2*v. What is y*u(i) + 14*o(i)?\nAnswer: -2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 223*p**2\/3 - 1467*p - 5061.\nAnswer: (p - 21)*(p + 3)*(p + 241)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 - w**4\/3 - 11*w**3\/6 + w**2 - 18*w. Calculate the remainder when 215 is divided by m(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**0*b*b\/(b**(-6\/7)*b) assuming b is positive.\nAnswer: b**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (2 - (1 - 2)). Let r be 0 - f - (9 + 1). Let s(i) = -i**2 - 14*i - 11. Is s(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44161.3 + 44161. Let t = -10 - -54. Which is the third biggest value? (a) t (b) -5 (c) -1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.98318*0.12.\nAnswer: -1.7979816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w, 5*p - 4*w - 18 = -2*w. Suppose -25 = 3*y - p*d, 5*y - 2*d + 5*d + 3 = 0. What are the prime factors of 2\/y*3 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024527, 1024528, 1024529?\nAnswer: 1024530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2557 is divided by 739.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 118*z**3 - 40*z**2 + 2*z**2 - 3 + 120*z**3 to t*z**3 + x*z + f*z**2 + y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -698\/3, -2, -5, 0.1 in increasing order.\nAnswer: -698\/3, -5, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-647660)\/(-141))\/(-52)*9\/(-15)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*i - 4*g + 60, 0 = -4*i + 5*g - 121. Let k = 19 + i. Let x be 4\/k - 27\/(-5). Is x bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**7\/210 - h**6\/30 + 2*h**4\/3 + 7*h**3\/6 + 19*h**2. Let m(j) be the first derivative of f(j). What is y in m(y) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2891*-3183\nAnswer: 9202053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a meter in millimeters?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -t. Suppose 2*c - l + 0 = 1, -t*l - 9 = -3*c. Let k be -6*c\/9*-6. Is -8 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258750087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 31. Let z(o) = 9*o + 50. Let h(f) = -7*f - 46. Let r(j) = 4*h(j) + 3*z(j). Let s(p) = -4*q(p) - 3*r(p). Determine s(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 + 135*r**4 + 565*r**3 + 285*r**2 - 990*r = 0. Calculate r.\nAnswer: -22, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 17*r**3 - 17*r + 21. Let q be -76*6\/(-6) - 3. Suppose -64 = -a - q. Let o(l) = 4*l**3 - 4*l + 5. Determine a*o(y) + 2*w(y).\nAnswer: -2*y**3 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - u - 3913 = 16035, -y + 3992 = -u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 - 3*t + 3. Suppose 4*z = 5 - 1. Suppose -r - z = -3. What is g(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v + 3042 = -4010. Let k(p) = 301*p - 1. Let r be k(1). Let s = r - v. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d - 170 + 237 = 1915 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 21. Let f be 25\/(-4) - (6\/(-24) - 0). Let x be i(f). Suppose -j + 186 = j - 2*t, 0 = -j + x*t + 83. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4758 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108076 = -56*b + 60*b + 4*w, w = 3*b - 81033. What are the prime factors of b?\nAnswer: 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.96. Let x = j - 5.96. Let f = -716\/3213 + 2\/3213. Which is the smallest value? (a) x (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101200 + 22102?\nAnswer: 123302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - v - 5*v + 3*v + 3*v + (3 + 0 - 5)*(-2*v - v + 4*v) - 2*v + 6*v + 0*v + 7*v + 0*v - 3*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**5\/15 - 3*c**4\/2 + 19*c**3\/3 + 130*c**2\/3 - 100*c - 529. Factor w(m).\nAnswer: (m - 10)**2*(m - 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3634, 1, -0.09, 0.3, -11 in increasing order.\nAnswer: -3634, -11, -0.09, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992125772.\nAnswer: 2, 11, 73, 499, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 354 = 5*n - 0*k, -2*n + 156 = -4*k. Let m = n + -22. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (94 - 94 + 15*i)*(-4*i + 3*i + 2*i + i + 15*i + i + 3*i + i + i + (3 - 3 + i)*(1 - 1 + 1)) as q*i**2 + w*i + s and give q.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 459*u**4\/4 - 15*u**2\/2 + 18*u - 525. Find the second derivative of w(x) wrt x.\nAnswer: 2754*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*j - 463, -2*w + 4*w + 5*j - 202 = 0. Let x = w + 17. Let g be x\/14 + 6\/21. Solve 5*b + g = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149438?\nAnswer: 2, 74719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-160)*40\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*1 + sqrt(120))*3 - sqrt(120))\/(2*sqrt(96) - sqrt(6)))\/(-1*sqrt(30)\/(sqrt(33)\/(sqrt(11) + sqrt(99)))).\nAnswer: -5*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00122 and 0.05032.\nAnswer: -0.0000613904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/168 and -103\/25158?\nAnswer: 100632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34957381099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-2*u**2 + 6*u**2 - 8*u**2).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k*k**5\/k)*(k*k**(1\/2))**(-42))\/((k\/k**(-2\/11))\/k*k**(-1\/4))**26 assuming k is positive.\nAnswer: k**(-1325\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 + 21*y + 1. What is the hundreds digit of c(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -22 in ascending order.\nAnswer: -22, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8487 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-4)\/(-120))\/((-4)\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 52*n - 80. Let l(g) = 2 + 11*g - n*g - 8*g + 3. Let o(k) = 4*k + 14. Calculate -8*l(t) + 3*o(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Suppose -n + d = -19. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 3*z + 18. Let x = -1 - -1. Sort 5, -5, x, z in decreasing order.\nAnswer: 5, z, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 2. Let g be p(-2). Suppose 5*i + 1 = g. Suppose -i = 5*j - 11. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080997 - 1080069 = 928*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 500377320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 20 - 34 = 0. Let t be 3\/x*-39 + (2 - 5). Let k be -1 - 6\/(-15) - (-6)\/t. Solve -m = 4*y + 21, k = -4*m + m - 4*y - 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 67.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619619 is divided by 1187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001843945 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.117, 1\/5, -2.4, -40?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*d**5 + 27*d**4 - 27*d**3 - 213*d**2 - 63*d + 270 = 0. What is d?\nAnswer: -3, -2, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919703113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 4*x**2 + 4*x**2 - 3*x + 3*x**2. Let f(a) = a + 35. Let n be f(-27). Let m(z) = 17*z**2 - 11*z. What is n*p(w) - 5*m(w)?\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 1:16 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((5\/(-4))\/(-5)). Let n be (p\/(-2))\/(8\/16). Solve 2*k - 2 = n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 196, 349, 500, 655, 820, 1001, 1204, 1435?\n\"Answer: f**3 - 7*f**2 + 167*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 19*y - 41. Let w be u(4). Calculate the remainder when ((-138)\/(-2))\/(w\/3) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 4 = 10*l. Let h(x) = -x**2 + 26*x + 7. Let m be h(0). Solve -4*k - 2*c + 5 = -m, -6 = -l*k - 4*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19711544 and 3440?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 4*s = 11*s + 20*s - 1053 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12244 + 10?\nAnswer: 12304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -384*(2 - (-9)\/(-2)). What is p rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 700 and 63?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 162 = 5*s - 167, -s + 3 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 105, 209, 313, 417?\n\"Answer: 104*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42096 - 21355. What are the prime factors of y?\nAnswer: 7, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -39*l + 2. Let x(r) = 194*r - 11. Calculate 11*p(d) + 2*x(d).\nAnswer: -41*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1491744, 1491702, 1491660, 1491618?\n\"Answer: -42*y + 1491786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 2*w + 2*w)*(-3*w + w + 0*w) + (4*w + 4*w - 12*w)*(-241*w + 143*w + 132*w) - 11*w + 6*w**2 + 11*w in the form q*w + i + k*w**2 and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8289)\/(-18))\/((-9)\/(-30)). Let f = -1078 + p. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 4830*c**3 + 2947254*c**2 - 37502426*c.\nAnswer: 2*c*(c - 1201)**2*(c - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 2*q**2 - 3191*q - 5*q**2 + 5 + 3187*q. What is m(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-6\/5)*z)\/(z**(3\/5)\/z*z*z*z))\/(z\/((z**(-6)*z)\/z*z))**(5\/6) assuming z is positive.\nAnswer: z**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.035 + 5.035. Let d(m) = -m + 2. Let k be d(6). Which is the closest to -2\/5? (a) -2\/3 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1685.88 from -2.891.\nAnswer: 1682.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from qgggggggqgggqgs?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 261*h + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 7*d + 4. Suppose -2*k + 39 = -27. Let j = k + -40. Give h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4004\/220 + 1\/(-5). Suppose -4*v + 3*c = -26, 2*v - 5*c = -6*c + p. Solve 5*n = i - 11, i + 19 = -v*n + 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - 2*n)*(0*n - 37*n + 15*n) + (1 - 1 + 1)*(1 + 4 - 1)*(-n**2 + 2*n - 2*n).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23453*z**2 + 93825*z - 52.\nAnswer: -(z - 4)*(23453*z - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-11) - 17\/(1683\/18). Suppose -4*b = a - 11. Suppose -2*x - 7 = b*d - 1, -3*d = -x - 7. Solve 0 = 2*f - 3 - d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 0*t)*(1 + 3 + 5) + 2*t + 2 - 2 + (1 - 4 + 1)*(2*t - 1 + 1) + (0 + 0 - 2)*(-40 - 38 + 89 + 3*t).\nAnswer: -26*t - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-3)\/12)\/((-10)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263646 (base 7) in base 4?\nAnswer: 1202032110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*j - 6*j + 80. Solve -2*d + 6 = -2*a, 3 = -j*d + 23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 21, 1, -4, 2, -3 in decreasing order.\nAnswer: 21, 12, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*r + 14, 31493*x - 31492*x = 5*r + 19 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1780?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7688\/15 or 513?\nAnswer: 7688\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.192. Let c = q + 0.02. What is c rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*q + 5*w + 374 = -44, -9*w + 19*w - 32 = 4*q + 15*w - w for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 2. Let g(c) = 21*c - 6. Let i(h) = -7*h + 2. Let b(y) = -2*g(y) - 7*i(y). Let n be b(-1). Let a be -1 - 4*n\/(-12). Give m(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93937319.\nAnswer: 7, 811, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 + 251 + -2)\/(1 - -1) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/(u*u*u*u**(-4)*u))**(-9)*(u**(1\/4))**(1\/5)\/((u**(-3\/7)*u)\/(u*(u\/(u*u\/(u**(2\/9)*u*u)*u))\/u)) assuming u is positive.\nAnswer: u**(-34397\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**3\/7 - 386348*g**2\/7 + 6955236*g\/7 - 31300020\/7 = 0.\nAnswer: -96605, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*v - 24*v - 612 = -29*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 32. Solve -2 = 2*r + m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k*v**3*w**2 - 2*k*v**3*w + 42*k*v*w**2 - 238*k*v - 14*v*w**2 - 7*w wrt w?\nAnswer: -8*k*v**3 + 84*k*v - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/24 + 425*b**3\/6 + b**2. Let s be t(0). Suppose -3*j + s = 2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 6*l**2 + 3*l + 4. Let q = 4 - 3. Suppose x - q = -v - x, -5*v - 3*x = -5. Let n = 4 + v. Give a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4735128 and -4735129 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 0.06635755?\nAnswer: -0.14635755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/16)*c*c)**16\/(c**(-4)\/c**(-1\/7)))**(-15) assuming c is positive.\nAnswer: c**(-5550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 7:50 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -49*s - 51. Let k(z) = -17*z - 18. Let y(x) = 6*i(x) - 17*k(x). Let h(p) = -30*p. Determine y(h(o)).\nAnswer: 150*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 1. Let i = 6 + h. Suppose 4*y = y + 9. Calculate the remainder when y is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tirtrox. What is prob of sequence xi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 2, -30, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/105 - 1899\/2805 and 43\/495?\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(475)*2 - sqrt(475) - (sqrt(475) + 1 + 4) - 2*(-3 + 1 + sqrt(475)))**2.\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616 and 280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 24. Let y be r(5). Is y <= -30\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 187 + 198 = 0. Let w(y) = 112*y**2 - 3*y - 3. What is the smallest common multiple of w(-1) and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 3. Let k be o(3). Suppose 0 = -j - 2*j + k. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0*o**4 + 0*o**2 - 13*o**3 + 86*o + 0 - 13\/20*o**5. What is the second derivative of d(p) wrt p?\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165568247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 36*r**2 + 8*r - 74. Give y(18).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84964, -169786, -254608?\nAnswer: -339430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 6, -5.\nAnswer: -5, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 436988 and 139849.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-440 + 19*n**2 + 95 + 410).\nAnswer: -38*n**2 - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*l - 806 - 2835 = -821 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 4589\/52 + 21\/28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99984 - -70016. Round w to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:16 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*b**3 - 6*b**3 - 392*b**3 + 47*b**3.\nAnswer: -656*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13260303?\nAnswer: 3, 7, 210481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13092132 a multiple of 834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, 6, 5, -5, 0.03 in descending order.\nAnswer: 6, 5, 1, 0.03, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 4485558?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -1.3. Let q = -1788 - -2601. Let j = q + -2438\/3. Which is the closest to w? (a) -0.1 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 57*f - 723. Calculate g(14).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -294499 or -294498?\nAnswer: -294499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*d = 8*a + 10, -3*d = 3*a - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-32) - 3\/4. Suppose -2*y + 7 + m = 0. What is the derivative of 5*w**2 - y*w**2 - 3 - 2 + w**2 wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82881 (base 9) to base 13\nAnswer: -1bb62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l + 0*l + l + 6 + 1. Let a(v) = -v - 1. Let w(u) = -28*a(u) - 4*d(u). Let p be w(-1). Are p and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 69629505.\nAnswer: -20888851.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 14. Suppose -3*q + 2*y + 19 = 6*y, 4*q - 2*y - 18 = 0. Suppose 0*o = -f + 3*o + 15, 5*o + 5 = -q*f. Calculate the remainder when k is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -23. Suppose -5*q - 5*b = -35, 5*q - 4*b + 4 = -s. What is the second biggest value in 0.4, q, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 7*l - 6. Suppose 5*d + 4*x - 11 = 19, -x = -5. Let i(q) = 13*q**d - 40*q - 36 + 50*q**3 - 49*q**3 + 8*q. Let z be i(-15). Determine a(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002211201 (base 3) to base 7\nAnswer: -120265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -371*u - 2. Let r be z(-3). Let c = r - 1105. Let a = 4607 - 41405\/9. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -4, 0.1, 0.\nAnswer: -4, -4\/9, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2 - 1. Suppose -7 = -z + 2*y + 4, 0 = 3*z + 4*y + 17. Calculate the remainder when 18 is divided by c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywsssssssysbswbbsw. Give prob of picking 3 b and 1 y.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from uakukaaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10084644 (base 9) in base 13?\nAnswer: 1005670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109975, -109959, -109923, -109861, -109767?\nAnswer: -109635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2712 and 35\/90513.\nAnswer: 724104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 23. Let o be 8\/g + (-15)\/(-6). Suppose -1 = 5*y - 6. Solve o + y = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6039 and -22518102094.\nAnswer: -22518102094.6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + -7 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 17*h - 34. Let j(g) = -g**2 + 29*g - 42. Let w be j(28). Let o be d(w). Solve -2*y - o = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.23 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 755\/7. Which is the biggest value? (a) 2 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 16, b: 4}. Give prob of sequence byby.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 times 0.01?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Suppose c = 4*s - 22, x*s = 3*c - s + 26. Suppose 0 = 13*r - 58 + 45. Sort r, 4, c in descending order.\nAnswer: 4, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*s - 2*s - 202323, 2*k = 4*s + 80910. Suppose k = 12*b + 3431. Is (b*(-3)\/24 - 4)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = 5*r, r + 4*l = -0 - 5. Suppose 9 = -0*v + 3*v. Suppose t = -2*i - v, -5*t + 7 = -i - 0*i. Sort r, i, 0 in ascending order.\nAnswer: i, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 202 = 3*x, 5*x + 85 = 3*f - 218. Suppose -5*z + f + 149 = 0. What is the remainder when z is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**0))*b*b)**(1\/4)\/((b\/b**(-1\/2)*b)\/b*(b*b**(-8\/3)*b)\/b*b) assuming b is positive.\nAnswer: b**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 + 9*d + 2. Suppose -m = -2*m + 3, 3*m = 2*y - 9. Let x be u(y). What is the units digit of x\/3 + (-1162)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-4\/5))*c**4)**(-1\/36)\/(c**(-9)\/c**(-1\/8))**(-6) assuming c is positive.\nAnswer: c**(-3203\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k - 78*k**3 - 93*k + 45*k.\nAnswer: -78*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfbre. Give prob of sequence rfem.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 238 - 237. Put 2, -4, 4, c in descending order.\nAnswer: 4, 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25646304*t**2 - 27427002*t wrt t?\nAnswer: -51292608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-7)\/(105\/(-12))).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 divided by 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.654 to one dp.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 10:55 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 8. Suppose 5*x + n = 99. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1391\/52 - (-2)\/8. Is w <= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -2*x**7\/105 - 7*x**3\/6 - 9*x**2. What is the first derivative of o(v) wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1973*r**2 + 3*r + 48. Let i(j) = -658*j**2 + j + 18. Give 8*i(m) - 3*k(m).\nAnswer: 655*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 150*y**2 + 2027*y + 333. Calculate v(-135).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*o = 2*d - 77, 0 = 4*o + 16. Suppose -5*l + 2 = -5*a - d, -4*l + 5*a = -20. Solve 0 = c - l*c - 2*z - 2, 0 = 3*c - z - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/9)\/((-4)\/(-24)*-2). Suppose 5*q = 2*q + 15, 65 = 2*k + q. Let s be ((-3)\/(3\/(-5)))\/1. Solve -k + z = s*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6655 is divided by 316.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160229 and 5?\nAnswer: 801145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*s - 218*s - 217*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 87 from -0.43.\nAnswer: -87.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddgmd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 12 = p + 21, 20 = -5*t - 5*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 2*x - 3*x. Suppose -116 - x = -5*j. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - -2 - (20 + 36 - 53 - 22).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295188326 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20\/9 + -43\/18. Let o be (-3)\/2*4\/(-9). What is the smallest value in o, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 5*sqrt(468)*-1 - sqrt(468) - (-2 + sqrt(468))*6) + -3)**2 + 0.\nAnswer: -1188*sqrt(13) + 56709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, -12, -142, -396, -816, -1444, -2322?\n\"Answer: -7*k**3 + k**2 - 2*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 0*c + 0*c - 7 - 7. Let o be m(10). Put o, -3, 3 in descending order.\nAnswer: 3, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 7:50 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64176 and 30268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 335296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -863*k**3 + 863*k**3 + 153*k**6 + 0*k**4 - 5*k**4 + 2588*k**2 wrt k?\nAnswer: 18360*k**3 - 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -2*f - 176. Let t be ((-2)\/8)\/(7 + 108\/f). Which is the closest to t? (a) 0.3 (b) -5\/4 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/53, -483, 2, 4, 0.5?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*b**2 - 46*b**2 + 13*b**2.\nAnswer: -151*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3\/8))\/(i*(i**(1\/4)\/i)\/i))**(6\/19)*(i\/(i**(2\/3)\/i)*i*i*i**(-2)*i)**50 assuming i is positive.\nAnswer: i**(26753\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10820?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26995583, -26995576, -26995569?\nAnswer: -26995562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1406 + 136381\/97. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:47 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s - 69. Let m be c(12). Suppose 3*r + 3 + 4 = -f, -r + 5 = 4*f. Suppose 0 = f*q + 2, -5*q - 9 - 2 = 3*w. Sort m, w, -3 in increasing order.\nAnswer: -3, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-1 + 31 + (36 - 34))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18648 and 3906?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1114?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 7*u + 32. Let x be p(4). Let j(l) = 2 - 2*l**2 + 4*l**2 - 5*l**2. Let w(t) = -t**2. Determine x*w(n) + j(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*t - a - 9, 11 = -4*t + 3*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*q - q + 84, -4*q + 41 = -3*r. Let j = r - -22. Let c be 4\/j*-3 + 4. Solve -25 = -c*p - 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 7*l - 4. Let z be i(6). Suppose -z*x - m + 39 = 0, -4*x + 43 = 2*m - 7*m. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9259 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*b + 43, 2*z + z = -5*b - 51. Let s(r) = 5*r**2 - 2*r - 4. Is s(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -93, -181, -267, -351?\n\"Answer: a**2 - 91*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4309 - 4309. Let c(u) be the second derivative of v + 0*u**5 + 7\/2*u**3 - 1\/3*u**6 + 0*u**2 - 15*u + 0*u**4. Find the second derivative of c(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v + 229*v + 29*v**2 - 72*v**2 - 118*v.\nAnswer: -43*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 287. Suppose 5*i - 3 - j = -s, -2*i - 4*s = -52. What is the highest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7524944 and 56.\nAnswer: 7524944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579973 is divided by 1221.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:55 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 1. Let q be i(-1). Let s be (-794)\/(-2382)*(-5)\/12. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 - 4*q. Let k be t(5). Let s = 53 - k. Let h(x) = 754*x**2 - 4*x - 5. Is h(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**4\/4 - z**3 + 134*z**2 - 6. Let v(c) = -1 + 2*c - 4*c + c. Determine b(x) - 4*v(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 15) to base 8\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(171)*-2 + sqrt(171) + sqrt(171))\/(sqrt(36)\/(1*sqrt(4))))**2 - ((sqrt(475) + 3)**2 - (sqrt(19) + 4 + (sqrt(475))**2))) + 2.\nAnswer: -29*sqrt(19) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -310447 divided by -6?\nAnswer: 310447\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (1 + sqrt(72)))*2*-2)**2 - (-4*(sqrt(72) - sqrt(72)*-1))**2*-4.\nAnswer: 18448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695452870.\nAnswer: 2, 5, 929, 182503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 2124?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - y - 2*y)*(-2068*y + 886*y + 881*y) as l*y + p + r*y**2 and give r.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 810\/1134 + 1306\/14 - (0 + 3). Calculate the highest common factor of s and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 20*f - 4*f.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -31, -68, -119?\n\"Answer: -7*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -507, -464, -429, -402?\n\"Answer: -4*h**2 + 55*h - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v - v**2 + 5*v + 18*v - 15. Let x be h(12). Let m(j) = 4 + 6*j**2 - 9*j + 0*j**2 + 2*j. Let d(w) = 13*w**2 - 15*w + 9. Calculate x*m(f) - 4*d(f).\nAnswer: 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 646669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9 - 1.9. Suppose -5*f - 18 = -2*m, -m + 4*f - 9 = 6*f. Let g be m\/3 - (-5)\/9. What is the nearest to 0 in o, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/126 and 127\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14492852 divided by 658766\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.62 - -0.08. Let s = d + -0.6999785. Round s to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*r + 449 = -6, -3*r - 6 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-4))\/((-3)\/12). Let j(c) = -6 + 5*c + 0*c + c. Let l(x) = -7*x + 7. Calculate w*l(t) + 6*j(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**14*f)**(-25) assuming f is positive.\nAnswer: f**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x + h - 221, -3*x + 137 = 5*h. Let s = -24 - x. Let m = -4 - s. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.06, 0, 226, -2\/9, -17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 35 = -59. Let c(o) = -o**3 + 4*o**2 + 9*o - 16. Calculate the remainder when c(k) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151768 divided by -18971.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900048.\nAnswer: 2, 3, 17, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one half of a second?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Suppose 3*s + 6*s = 0. What is y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 2*i - 6. Let o(g) = 4*g**2 - g + 5. Let n(z) = 3*c(z) + 4*o(z). Let y(l) = -l**3 - l - 1. Let b(p) = -n(p) - y(p). Determine b(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.57251 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338243*d + 338242*d = 0, 5*d - 111 - 69 = 15*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 51, 66, 81, 96, 111, 126?\n\"Answer: 15*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.256137 millimeters?\nAnswer: 8256.137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-5*r + 0*r + 3*r)*(-7 + 7 - 1).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z + 4. Let d(x) = -2 - 2 + 0 + 5 + x. Let p(t) = 3*d(t) - g(t). Differentiate p(q) with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 6072543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*-6*(sqrt(325)*-2 + sqrt(325)) + (-3 + sqrt(325)*1 + sqrt(325) + sqrt(325) - sqrt(325) - 2*2*sqrt(325)))**2 + 2 + 3.\nAnswer: 960*sqrt(13) + 332814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**7\/210 - y**6\/40 + 119*y**4\/12 - 7615*y**3\/6 - 395*y**2 - y - 2. Differentiate u(r) with respect to r.\nAnswer: -4*r**3 - 9*r**2 + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - 9*n**2 - 1. Let a(f) = -8*f**3 - 26*f**2 - f - 3. Let k(i) = -4*a(i) + 11*b(i). What are the prime factors of k(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1212724821 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -35*w**3 + 5*w**2 + 46. Let l(b) = -b**2 - 1. Let u(f) = h(f) + 5*l(f). What is the derivative of u(m) wrt m?\nAnswer: -105*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:16 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 609, 2292, 5043, 8862, 13749, 19704?\nAnswer: 26727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u + 1320000. Let j be o(0). What is j rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.02741 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 1, i: 2, l: 1}. Give prob of picking 2 k and 1 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.3 - -34. Put -0.4, -0.1, -2\/3, j in decreasing order.\nAnswer: -0.1, j, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10*1)\/(-2 + 3 + 1). Let z(r) = -7*r**3 - 7*r**2 - 5*r + 2. Let p(a) = -3*a**3 - 3*a**2 - 2*a + 1. Give n*p(f) + 2*z(f).\nAnswer: f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 268*g**2 + 12*g - 78. Is x(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 + 2. Suppose 3*t = l + 17, 1 + 3 = -4*l - 4*t. Let j be z(l). Let k = -35 + j. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197436 by -2.\nAnswer: -98718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -100.6725 and -21.357?\nAnswer: 79.3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72\/17 + 1622\/391. Which is the nearest to g? (a) -5\/4 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.4 and 97524.\nAnswer: -1501869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 4*w + 2. Is 10 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 27, -31\/356, 0.11?\nAnswer: -31\/356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 + 0)\/(-2 - -1))\/(-1). Suppose 4*g - 125 = -g. Solve z = 5*o + g - 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3229118?\nAnswer: 2, 1614559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d - 27500 = -76692. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*r**3 + b*r - 251303*b + 6273*r**3 + 5*r**2 + 4*r + 8 wrt b?\nAnswer: 2*r**3 + r - 251303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 450706 = 3*g - 843436, g - 431399 = 2*x. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*p - 5*p**3 - 100*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2760464547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4\/5, 1\/23, -0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 52*y + 7*y**2 + 33*y - 2*y**2 - 110*y = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/6)\/((-8)\/12). Suppose -3*u + 5*u = 6. Suppose u*y - 7*y - 5*i + 374 = 0, 4*y - 372 = -l*i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g - 3*t, 3*g = -5*t + 5 - 4. Let x be -3*(40\/15 - 3). Which is the smallest value? (a) 3 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/12*10\/(-3) - 0. Calculate the remainder when 44\/10*f\/2 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.035 - 0.965. Let j = -3 - p. What is the closest to j in -3\/8, -0.2, -13?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23, -151, -371, -683, -1087, -1583, -2171?\n\"Answer: -46*k**2 + 10*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -61 (b) 0.1 (c) 0.3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/((-18278)\/(-52))*(36\/3)\/3?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 3. Let y be p(1). Let c = 8 + y. Suppose 4*u + 4 = -c*u. Sort 4, 0, u in decreasing order.\nAnswer: 4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40, 22, -18, -92, -212, -390, -638, -968?\n\"Answer: -2*y**3 + y**2 - 7*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*g**3 - 532222 - g + 532222 + g.\nAnswer: -127*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oorp when four letters picked without replacement from porpropoppo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 8*n - 201000. Round n to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - y**2 + 290 + 7*y**2 - 291)*(-3 + 2*y + 3) in the form u + a*y**2 + p*y + j*y**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*h. Let t = -1 + 0. Let l = -3.07093 + 0.07093. What is the closest to t in -0.3, h, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 0*i**3 - 1\/5*i**5 + 68 + 0*i**2 - 45\/4*i**4 - 90*i. What is the derivative of u(a) wrt a?\nAnswer: -4*a**3 - 135*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.0399?\nAnswer: -4.9601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5382, -17606, -29832, -42060, -54290?\n\"Answer: -f**2 - 12221*f + 6840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 32?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 4*r + 8. Let j(d) = d**3 + d - 1. Let s be j(1). Let i be (21\/42)\/(s\/(-10)). Calculate b(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 29453562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-57 - (-9 + -5)) + (5 - -1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -53707a9?\nAnswer: 53707a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7068651 and 97393?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-8 - 2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**20 assuming y is positive.\nAnswer: y**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:57 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 15*d**2 + d + 1520. Does 8 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311332311 - -1?\nAnswer: -311332310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 0*b + 3*b + (-b - 3*b + 2*b)*(-4 + 2 + 0) - 10*b + 47 - 47.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o + 23. Let s be k(3). Let x = 16 + -11. Suppose 5*d + x*c = 1275, -s*d - 3*c = -497 - 11. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z + 2*z - 6*z - 11*z + 22*z - 240. Give h(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:16 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9476*w**2*x**3 - 3*w**2 - 5494*w*x**2 - x - 1 wrt x?\nAnswer: -56856*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -75. Suppose 2198 = c*q - 6802. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135394593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/97, -2.16, 0.008?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3330, -3343, -3356, -3369, -3382, -3395?\nAnswer: -3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121.96 + 120.96. Which is the nearest to 2\/9? (a) -5 (b) -2\/55 (c) -1\/2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 35*k**2 - 73*k - 15. Calculate u(-37).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(-1\/9)\/(x\/(x\/(x*x**(-4\/5)*x))*x*x\/x**(2\/5)*x) assuming x is positive.\nAnswer: x**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12711 + 61309. List the prime factors of r.\nAnswer: 2, 5, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:51 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bc4 (base 13) in base 7?\nAnswer: -101503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -13, 0, 17?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32523551 (base 7) to base 4.\nAnswer: 22222220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*c + 10*i - 12*i, -4*i = -20. Suppose -3*m = n - 17, c*n = -2*m + 1 + 17. Solve 0 = -3*l - 2*f + 7*f - 17, -12 = 4*l - m*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 0.1 (c) -6 (d) 4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -16.2, -4\/3, 0.6, 0.3, 7294?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 2*o**2 + 3*o - 2*o + o**3)*(-2*o - 4*o + 2*o) - 28 + 8*o**4 + 28.\nAnswer: 4*o**4 - 12*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-27) - (-172)\/(-36). Let s = -2 - v. Find the second derivative of 2*r**3 - 4*r - 4*r + 3*r + 0*r**s wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 1, w: 4}. What is prob of sequence sow?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -267317, -534626, -801935, -1069244, -1336553?\n\"Answer: -267309*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, -11, 1, 5, -1, -35 in descending order.\nAnswer: 21, 5, 1, -1, -5, -11, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l**2 + 7*l + 47. Let a(m) = -7*m**2 - 2*m - 16. Let g(r) = 17*a(r) + 6*k(r). List the prime factors of g(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135553442?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.04 + -0.04. Sort 3, s, -7 in descending order.\nAnswer: s, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4117739 is divided by 1379?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = -19. Suppose -2*h = 4*m + d, 37 = 2*h - 4*m + 11. Find the second derivative of -5*c**3 - 17*c + h*c**3 - 11*c**5 + 57*c**5 wrt c.\nAnswer: 920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v\/(v*(v\/((v*v**(2\/3)\/v)\/v*v))\/v))\/v)\/v))**(16\/9))**49 assuming v is positive.\nAnswer: v**(5488\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 53 + 109 = 0. Solve -z - l = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-239 + 118 - 340)*(0 + 0 + u) - u + 2*u + 0*u to the form v*u + c and give v.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/17))\/s*s*s\/(s\/(s\/s**(-3))) assuming s is positive.\nAnswer: s**(88\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460387?\nAnswer: 460387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)*s**1)\/(s*s\/s**(2\/7)*s**(2\/25)*s*s))**33 assuming s is positive.\nAnswer: s**(-18447\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14339 and 416?\nAnswer: 458848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/9)*(x*x**1*x)\/x*((x*x**(1\/3)*x*x)\/x)**17 assuming x is positive.\nAnswer: x**(373\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-27) - 640\/1260.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20220221210110 (base 3) to base 9\nAnswer: 6827713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -442, -445, -448?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1145, -2240, -3335, -4430, -5525, -6620?\nAnswer: -7715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6417682 plus 36.483?\nAnswer: -6417645.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/4*(-1 - -1). Let h be 5 + c - (-4)\/(-2). Find the third derivative of 4*v**3 - 3*v**3 - v**2 + 2*v**h wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4247.\nAnswer: 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (52\/(-55))\/((-4)\/10) and 79\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, a: 3}. Give prob of sequence aaa.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -25411*i - 711529. What is a(-28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679163483 plus 0.16?\nAnswer: 679163483.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -a296e (base 16) to base 5\nAnswer: -132302331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117912989 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.089 and 246.02?\nAnswer: 21.89578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 2:53 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3999 and 35346?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 703, -257, -32, -3, 4 in descending order.\nAnswer: 703, 4, -3, -32, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17471.\nAnswer: 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (325\/39 + -7)*7\/((-84)\/9). Suppose 5*h + 474 = 69. Put 3, h, t in descending order.\nAnswer: 3, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*d - 9 = 0, 0*d - 9 = w - 3*d. Is w greater than 1\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 2*s + 0*s)*(-205*s**2 - 127*s**2 - 389*s**2) to f*s**3 + p*s**2 + m + r*s and give f.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 46497643 = -4*l - 121532377, -2*l = 2*q - 112019990. What is q rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -0.01, -15, 11, 1, 2, -1.13?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*p**2 - 57*p**2 - 61 - 64 + 125.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 26 = -2*y, 89*j = -2*y + 85*j - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 74*p - 87506. Give g(261).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 2. Let c be k(4). Suppose 3*p + 4*o = 6, -50*o = -p - 45*o + 21. Suppose -c*w = -p*w - 1348. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, 0.4, 285?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 + 4*m + 20 + 0*m**4 + 2*m**4 + 11*m - 15*m**3 - 25*m**2 = 0. Calculate m.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18207 is divided by 606.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*q = -64615, 0 = 5*p - 2*q + 95515 - 257105. List the prime factors of p.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 10*y. Calculate q(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -9, 8, 0, 3 in decreasing order.\nAnswer: 8, 3, 0, -9, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1))\/((-158)\/78 - -2). Let d = 34 + n. Is d < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10308 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 less than 1?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2 + 87695820*a + 640879737122700 = 0.\nAnswer: -14615970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3007164 divided by 13.\nAnswer: 3007164\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d - 44. Let y(j) = j**2 - j + 2. Let v be y(2). Let m = v + -2. What is the highest common divisor of d and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13 - 3 = 0. Suppose -o = -0*o - u. Solve o*a + 1 = -b, b + a = 3 - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47005*-54\nAnswer: -2538270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1062 and 91\/354.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, -4, 5, 530 in increasing order.\nAnswer: -22, -4, -1, 5, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11306810 to the power of 1\/2, to the nearest integer?\nAnswer: 3363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen fifths of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 + -183. Suppose x = -x - 4*p - r, 4*p = 2*x - 4. Sort x, -3, 2\/3, -2\/5.\nAnswer: x, -3, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11903*v - 4193. Does 182 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -12 - (106 + -99).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - 15*x**2 + 147*x - 32. Calculate w(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 2*w**2 + 12. Suppose 6 + 5 = d + 4*m, -18 = -4*d - 3*m. Let k(q) = -2*q**3 + q**2 + 6. What is d*t(n) - 5*k(n)?\nAnswer: n**3 + n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 5.839.\nAnswer: 6.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 935?\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 31680*m**2 + 31680*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38396495*h**2 + 17666770*h wrt h?\nAnswer: 76792990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2255*q - 4750 with respect to q.\nAnswer: 2255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 4:54 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7536, -12380, -14538, -14010, -10796, -4896, 3690?\n\"Answer: 1343*d**2 - 8873*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41778948 divided by -228.\nAnswer: 183241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 1, r: 3, l: 2}. Give prob of picking 2 p and 1 r.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36214 (base 8) to base 13.\nAnswer: 7094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-378)\/(-35))\/9*10\/3. Let g(i) = 1 - h*i - 66*i**2 - 1 + 67*i**2 - 13. What is g(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255\/8 at most 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -22864*u**3 - 3*u**2 + 3*u. Let z be b(3). Let l = z - -997346. What is l rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10425.73 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 - -1 - (-42 + 98))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q + 5. Let n be g(-2). Is 6\/n*20 - 0\/(-1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 51. Let a = i + 165. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 3*m = -8*t - 4, -3*m - 4 = 2*t. Let o(j) = j**3 + 3*j**2 + j + 6. What is the least common multiple of o(t) and 164?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**9\/37800 + p**7\/6300 + p**4\/4 - 4*p**2. Let h(b) be the second derivative of l(b). Suppose h(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 6. Let u(w) = -w + 41. Suppose -381*o + 383*o - 68 = 0. Let s be u(o). What is r(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1, 3, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + 7*z. Let f be 7098\/1001 + (-1)\/11. Let u(t) be the second derivative of -4*t + 0*t**2 + 1\/4*t**4 + 0 - t**3. Determine f*u(r) + 6*l(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/(-117))\/(122\/(-122))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 4 (c) -0.0521897\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226 + 225.999819. What is c rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**2*f*v**2 - 33*a**2*f*v - 2*a**2*v**3 - a**2*v**2 + 10*a*f*v**3 + 40219*f*v**3 - 2*f*v**2 + 15*f*v wrt v.\nAnswer: -12*a**2 + 60*a*f + 241314*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000279733706 rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(0*u**4 - 3*u**4 + 0*u**4 + (-2*u**2 - u**2 + 6*u**2)*(-2*u**2 + 3*u**2 + u**2)) in the form n*u**4 + r + b*u + y*u**3 + c*u**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -0 - 30. Suppose -p*m + 3119 = -2*i, -1017 = -5*m - i + 2096. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 4891.138\nAnswer: -2445.569","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1 - 3 + 5*c**2 - c**3 - 4*c + 5. Let k(d) be the third derivative of d**5\/60 + d**4\/24 + d**3\/3 - d**2. Let w be k(0). Calculate z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((6\/(-15))\/(46\/115))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/21 - 5630*t\/21 + 25608.\nAnswer: 2*(t - 2716)*(t - 99)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3 + j + 7*j**2 + 2*j**2 + 3*j**3 - 7*j**2. Is 9 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-237)\/(-8) - 9\/(-24). Suppose 0 = -4*v - 2*v + g. Solve -v*j + 8 = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 9, -2, 5.\nAnswer: -2, 1, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247\/358 - -324\/179. What is the third smallest value in -0.288, -1, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3)\/g*g)\/g)\/g*g)\/(g\/(g**(-19)*g*g*g)*g)*((g*g**(-10))\/g)\/(g*(g\/(g**(18\/7)*g))\/g) assuming g is positive.\nAnswer: g**(-206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 6 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 4. Let r(j) be the third derivative of -j**4\/12 - j**3\/3 - 24*j**2 - j. Suppose 2*l = 6*l - 12, -3*l = -5*w - 34. Calculate w*r(k) + 3*t(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - l + 0*l - 15 = 0, -5*r = -5*l - 45. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12342 - 12340. What is the closest to z in 1\/4, -16, -2\/7, 57?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h*h**0)*h*h**2*(h\/h**(-2\/5))**(-29) assuming h is positive.\nAnswer: h**(-183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -2. Suppose b*s - 6*s = 84. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*l = 0, -2*b - l = 10 + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x + 34*x + 20*x)*(-5*x**3 + 2*x**3 + 21*x**3) + 0*x - 3*x**4 + 0*x - x**4 - x**4 + x**4.\nAnswer: 626*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 33 + 21. Let g = q - 18. Solve g*l - 2*l = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -704026*0.616\nAnswer: -433680.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34276 and 49115?\nAnswer: 8054860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2)\/t))**40*t**(-8)*(t*t**(-1))\/t assuming t is positive.\nAnswer: t**151","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 37098*f + 4246. Let t be q(18). Round t to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73657530.\nAnswer: 2, 3, 5, 71, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -331*s - 991. Let r be j(-3). Determine x, given that 8\/3 + 5\/3*x**4 - 2*x - 31\/3*x**r - 4*x**3 = 0.\nAnswer: -1, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u + 7 + 3 - u**2 + u**3 + 1 - 1. Solve r(v) = 0 for v.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from zzvvzvzvvzzz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, c: 2, f: 8, q: 1, y: 1, m: 2}. What is prob of picking 1 q, 2 m, and 1 a?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlwqsswq. Give prob of sequence sx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228651 is divided by 1110?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 2 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -21) + 0 + 13 + (-44 + 25 - -22)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 + 2*u - 1. Let b = 2 + 0. Suppose -b*a + 3 + 3 = 0. Calculate x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - (-7 - -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7621579 and 7621579?\nAnswer: 7621579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/86? (a) -1439 (b) 4 (c) 1 (d) 2\/9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = 9*b. Suppose -5*k + b = -33. Solve -2*n = 3*h - 0*n + k, 11 = -4*h - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 957 + -958 - (-27 + 3 + 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-3) - (-2 + -3). Calculate the highest common factor of y and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o - 63. Let b be t(6). Calculate the remainder when (558\/b)\/(10\/25) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59560, 119141, 178722, 238303?\n\"Answer: 59581*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t + 4. Let p(x) = 95*x - 25. Let o(m) = 1806*m - 455. Let j(y) = 3*o(y) - 56*p(y). Give 4*j(f) - 35*r(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -d + v + 3, 0 = -5*d - 3*v + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31074 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95.39 and 6.74.\nAnswer: 642.9286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*f, 3*f + 0*f - 15 = 2*b. Calculate the common denominator of 14\/b - 172\/129 and 85\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -1512520?\nAnswer: 1512516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*y + 13 - 214, g + 3*y = -79. Let z(j) = 3*j - 7. Let b be z(-5). Let p = b - g. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -k - 4*m, 24*k = 22*k + 2*m + 12. Suppose -y + 9 = t - 4*y, 2*t - 18 = -4*y. Solve k*c - 3 = t*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 61 = -35*f - 7*r, -3*f + 54 = 2*r for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1288 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -67173804?\nAnswer: -1\/22391268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -35. Let b be y\/(-4*(-3)\/84). Let u be 6 - b\/((-28)\/(-8)). Solve 2*f - 14 = -u*c, 2*c = f + 1 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009167 rounded to six dps?\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4480 and -85\/288.\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 217592586 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*y + 24*f - 21*f, 0 = f. Solve 0 = -3*n - 4*u - y, 35*n = 30*n + 4*u + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 4*m + 5*m)*(-7*m + 7*m + 9*m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 4. Suppose 5*n - 2*l - 17 = 6, -25 = -3*n + 4*l. Let b be x(n). What is the remainder when b + 51 - -3 - -2 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -7 - (1 - (2 + 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 = -2*c + 2, -7 = 3*r - 5*c. Let d be 4\/280*(r + -3). Which is greater: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - -46. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/2 + 2*c. Let j(w) = -w**2 + 3*w - 3. Let q(o) = -2*o + 2. Let f(y) = -2*j(y) - 3*q(y). Determine f(i(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 > 763490\/5347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:03 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 + 32606*a**3\/3 - 132910206*a**2 + 398632806*a = 0. Calculate a.\nAnswer: 0, 3, 24453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-48))\/(-4 - 23\/((-483)\/70))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12910, 51535, 115916, 206053, 321946, 463595?\nAnswer: 631000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1276 - 854. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a factor of 3780984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -382*h - 16803. Give i(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -2)\/(-1 + 0). Suppose h*s - 285 = -s + 3*b, b + 281 = s. Suppose 176*n + 992 = 208*n. What is the greatest common divisor of n and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 13) + (0 - -18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4280.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19731937 to the nearest integer?\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*p - 5 = 3*p, 17 = 3*j + 4*p. Let m(u) = j*u + 3*u - 2*u. Give m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/4)\/(6\/(-36)))\/(((-486)\/48)\/27).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 + 3*w - 1. Let r(z) = -232*z**2 - 12*z - 11. Give r(m) + 4*s(m).\nAnswer: -248*m**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 9. Let q(i) = 4*i - 17. What is 4*q(r) + 7*x(r)?\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 341888460 a multiple of 1389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bc080 (base 14) to base 4.\nAnswer: -11311312000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 32. Let s be n(5). Let d = 13 - s. Let f(o) = 3*o**3 + 6*o**2 + 6*o - 6. Let z(a) = -3*a**3 - 7*a**2 - 7*a + 7. Determine d*z(m) + 7*f(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.3251 millimeters to kilometers.\nAnswer: 0.0000303251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 + -79. Let q = 0.0712 + -129.0712. Let m = q + r. Which is the third smallest value? (a) -2 (b) m (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*i**2 - 17*i**2 - 13*i**2 + 63*i**2.\nAnswer: 83*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppppfp. Give prob of picking 1 f and 2 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*s + 1, -3*s + 10 = -s + 2*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z + 21 = -54*z. Let k(w) = -z*w + 4*w + 2*w. Let q(u) = -2 + 2 + 5*u. Give k(q(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 267, 479, 691, 903, 1115, 1327?\n\"Answer: 212*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 - 7*q**2 - 95*q - 157. Determine z(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.634 and 8821.\nAnswer: 5592.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -107. Let h = 28.5 + j. Sort 7, -0.3, h in increasing order.\nAnswer: h, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*p + 35962 = -15248 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/10)\/((-36)\/12) + (-12)\/(-15). Put -9, -25, c in decreasing order.\nAnswer: c, -9, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/5)*o)\/o*o*o**4)\/(o**(-6)*o\/(o*o*o\/((o\/(o\/o**(3\/8)*o))\/o))))**(-28\/9) assuming o is positive.\nAnswer: o**(-3983\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.556 and -2?\nAnswer: -9.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2 - (-9)\/(-12). Let t = 15.74 - 15.44. Which is the second smallest value? (a) p (b) -1\/5 (c) t (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -3 (c) 5\/3641 (d) -15.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/18 and -1\/40718.\nAnswer: 366462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3578\/7 + -510. Which is the nearest to -0.3? (a) -2 (b) u (c) 2\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27354 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**4*s\/((s*(s*s**(4\/3)\/s*s)\/s)\/s)*s**(-3)*s*s\/(s\/(s**(-3\/8)\/s)*s) assuming s is positive.\nAnswer: s**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:34 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 13. What is the lowest common multiple of -9*2\/(-9)*2 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 7:42 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 2*l + 2*l)*(5*l**2 - 4*l**2 - 2*l**2) - 3*l**3 + 22*l**4 - 31*l**4 + 21*l**4.\nAnswer: 13*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from nyyyzyyyzyyzyyyy?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 159968\nAnswer: 3\/159968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571 + -6 + 7 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.519 - -1.5.\nAnswer: 50.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2.2808\nAnswer: -6.8424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 6175001*u**4\/24 + 2*u**3\/3 + 11*u**2. Let j be h(-4). Round j to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -29, 0.14, -4, 675, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 19. What is the units digit of b\/(-45) + (-124)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-2 - sqrt(136))\/sqrt(8) - (sqrt(17) - (sqrt(119)\/(sqrt(63) - sqrt(7)) + sqrt(17))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*z**3 + 5*z**2 + 675 wrt z?\nAnswer: -300*z**2 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 18802467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 + 30\/12)*(-2)\/(-3) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293953 + 293953 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4440\/29 in -5, 4, 134?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.02, -0.5, 14, -2\/13 in decreasing order.\nAnswer: 14, -0.02, -0.1, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l**2 - l**2 + 8*l**2. Let k(s) = -s. What is y(k(q))?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/(16\/1896). Suppose 12606 = v*x - 68*x. List the prime factors of x.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2\/3 (b) 1\/3 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*n + 2 - 92*n - 1 + 3 - 5 in the form z + q*n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 70898.29ml?\nAnswer: 70.89829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -698?\nAnswer: -698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8328937 to the power of 1\/2, to the nearest integer?\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21349.\nAnswer: 37, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tquqt. What is prob of picking 1 q and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 98.78598 micrograms?\nAnswer: 0.09878598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewewweeeagee. Give prob of picking 1 e, 2 g, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9404 + 561?\nAnswer: -8a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-4))**(3\/34))**45)**44 assuming q is positive.\nAnswer: q**(-8910\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -6*u - 32. Let a(q) = -q - 10. Calculate a(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1693*l - 4 = 1699*l - 4*k, 0 = -5*l - k + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.5, 575, 186, -3\/2.\nAnswer: -3\/2, -0.2, 0.5, 186, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 - 352*j**2 - 355*j**2 + 709*j**2 - 3. Let m(l) = -1. Give -5*m(c) + p(c).\nAnswer: -3*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g - 7. Let q(z) = 0 + g + 0 + 2*z. Let x be q(-3). Solve -6*n + 2*n - i = 8, 5*n - x*i = 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15343 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: Find t, given that -t**5\/3 - 3*t**4 - 19*t**3\/3 - t**2 + 20*t\/3 + 4 = 0.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from qqsssqqssqssqqss?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 695 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4 - 180*j**3 + 376*j**2 = 0. What is j?\nAnswer: -47, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1650 and 1111875?\nAnswer: 24461250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3892 + 3.4. Let j = i - 0.010799521. What is j rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -36. Suppose x = 4*j + 4*f - 36, f = 3*j + 2*f - 27. Let i be ((-3)\/6)\/((-2)\/8). Solve 2*s + 2 = 0, i*t + 2*t - j = 5*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -2, 0.2 in decreasing order.\nAnswer: 0.2, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 453\/28621 and 4.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*(-3 + 15449\/5208) and 5\/(-3)*351\/36?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 5. Let d(b) = -5*b**2 - 3*b**2 + z + 7*b**2. Let i(x) = -6*x**2 + 3. Give 4*d(q) - i(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 17, 24, 29?\n\"Answer: -p**2 + 12*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 149*p + 1. Suppose -20 = -471*n + 470*n - 2*w, 2*w + 10 = 0. Calculate the remainder when f(2) is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from lqoovqxllkkl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 8672432.\nAnswer: 8672432.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -7\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.274123 millennia in years?\nAnswer: 6274.123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9.5. Let t = 95.79 + -95.65. Which is the nearest to t? (a) f (b) 3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*i**2 - 146974*i + 10508613?\nAnswer: 20*i - 146974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7763 is divided by 5941?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-10))\/((-3)\/336) - -4. What is the highest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15648 and 1320.\nAnswer: 860640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*w - 20*w**3 + 23*w**3 - 9*w**3.\nAnswer: -6*w**3 - 98*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(272).\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 7*q + 3. Let b be g(-7). Let f(a) = -64*a + 1922. Let k be f(30). Solve k*t - 2 = b*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918\/48*2 + (-1)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 - 2*b + 3. Let s be t(-4). Let i = 4 + 5. Calculate the greatest common factor of i and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -31. Let p = 40.6 + l. Let q = -5 + p. Which is the nearest to -1\/4? (a) q (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*d = -203*d - 16800 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100946593?\nAnswer: 11, 29, 71, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 168621447427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 50*i**2 - 94*i + 349. Is j(31) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 - 45*q**2 + 93*q - 47 = 0. What is q?\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 3) to base 12.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4 - 1304*j**3 + 1218*j**2 + 54684*j = 0?\nAnswer: -6, 0, 7, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5770 divided by 17.\nAnswer: -5770\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:08 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*s - 134, 4*s - 75 - 203 = 2*j. Calculate the greatest common factor of s and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 2.9. What is the third smallest value in a, -0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 21. Let v be -1 + 1 + 20\/r. Let g(w) = -3*w**2 + 5*w + 7. Let l(m) = -5*m**2 + 9*m + 13. Let i(f) = -11*g(f) + 6*l(f). Give i(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpl when three letters picked without replacement from vdpddjdjjvjdpljljj?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3299 - 0.0299. Put -3\/8, -84, a in descending order.\nAnswer: a, -3\/8, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7589.99 times 54.7\nAnswer: 415172.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s + 18. Let i(o) = o + 1. Determine -18*i(r) + p(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5b3b4 (base 14) to base 6\nAnswer: 4440242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 24*h = -64. Let c be (-27)\/11 + 1 - -2. Let w = -9\/44 - c. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwliiliwiw. What is prob of picking 3 w and 1 l?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:34 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68618023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 312950 divided by 2845?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + 4 - 4)*(34*r - 27*r - 1 - 62*r).\nAnswer: -165*r**5 - 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhqrqqhsfrqqqsfssss. Give prob of sequence hf.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -69 + 19. Let g = -22 + k. Suppose -g*t + 4*l = -14 - 101, 5*l = 2*t - 65. Calculate the remainder when t is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 10010592.\nAnswer: 30031776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/(-4) + ((-16)\/12 - -2) and 49\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 - 37*l + 31. Let o(h) = -3*h**2 + 18*h - 15. Let m(c) = -c**3 - c + 3. Let d be m(2). Let a(i) = d*o(i) - 3*u(i). Factor a(b).\nAnswer: 3*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 2*p**2 - 162*p + 477. Let q be k(3). Factor -5\/3*g**4 + q - 4\/3*g**2 + 0*g - 1\/3*g**5 - 8\/3*g**3.\nAnswer: -g**2*(g + 1)*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-33) + 252\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f + 47. Let z be k(-3). What is the units digit of ((-25)\/((-1250)\/(-560)))\/(z\/(-50))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109819420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.130722 and 0.1.\nAnswer: 0.0130722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*n + 5*d = -112*n - 9019, 3*n - 3*d - 6768 = 0. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7)*t\/((t*t\/t**(1\/5))\/t))**(2\/13) assuming t is positive.\nAnswer: t**(24\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2541 - -1518. List the prime factors of t.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -v + 9*i, -137 + 121 = 2*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 6475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, c: 1}. What is prob of sequence cq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k + 3. Let n(z) = 6*z - 7. Let v(c) = 3*c - 6. Let q(w) = -4*n(w) + 5*v(w). Calculate 2*h(b) + 3*q(b).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 = 9. Differentiate 1 + 0 - v - 4*h**3 with respect to h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12148, 12150, 12152?\nAnswer: 12154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4468*y - 312744. Calculate j(-70).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214386*p + 23*p**2 - 214386*p + 3 + p**3.\nAnswer: p**3 + 23*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 = 3*n, -3*n - 5*v = -7*n + 47. Let w = n - 6. Does 6 divide 3\/w*42\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t + 4. Let d be f(0). What is the common denominator of (-232)\/d*5\/12 and 19\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**4 - s**4 - 3*s**4)*((-2 + 1 - 1)*(2 - 1 - 2) + (-70 + 86 - 58)*(-2 + 2 - 8)).\nAnswer: -3718*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151\/(-20) + 31155\/4154 - (23506\/40)\/7.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -946*o*t**6 - 992*o*t**5 - 3*o*t**2 + 173623*o + 2*t**2 wrt t?\nAnswer: -113520*o*t**3 - 59520*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43723716027.5 plus 1064?\nAnswer: 43723717091.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 322 + 918. Let i(m) = -324*m + 49. Let u be i(-2). Let j = u - v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -513ac + 2?\nAnswer: -513aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3.145, -4, 0.3, 2\/3, 2\/7?\nAnswer: -3.145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 31*m + 13. Calculate l(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q - 45. Let o be (3\/q)\/(4\/72). What is the greatest common factor of o and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.27 + 3.74. Let p = 0.13 + l. Let w = p - 0.6. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q, -57 + 63 = -x - 4*q. Let w be ((-10)\/(-15))\/(4\/(-42)). Let m = w - -10. Put 0, x, m in descending order.\nAnswer: m, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 2*q**2 - 1. What is u(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -8. Let z(c) = 9*c**2 - 3*c - 2. Let k be z(-2). Let g be 1\/(2*i\/k). Solve -5*a - g = -5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5757.0776 + -5764. Let l = 9.8 + -16.7. Let f = n - l. What is f rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*w = 20, 4*t + 20 = -0*t - 4*w. Let i be 2\/6 - 16\/(-24). Let y = 22.2 - 22. Which is the nearest to i? (a) t (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, -5, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245507, 245509, 245511, 245513?\nAnswer: 245515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6552 - -9982. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}